%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL656+1.010 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 11:54:21 AM UTC 2026
% Result : Theorem 6.12s 1.93s
% Output : Refutation 8.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 30
% Syntax : Number of formulae : 190 ( 18 unt; 28 def)
% Number of atoms : 2797 ( 0 equ)
% Maximal formula atoms : 244 ( 14 avg)
% Number of connectives : 4633 (2026 ~;1601 |;1000 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 69 ( 10 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 53 ( 52 usr; 7 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 1 con; 0-1 aty)
% Number of variables : 737 ( 0 sgn 653 !; 84 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
fof(f2,conjecture,
~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p5(X0) ) ) ) ) ) ) ) ) ) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ( ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ p11(X1)
& ~ p111(X1)
& p110(X1) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( p11(X1)
& ~ p111(X1)
& p110(X1) ) ) )
| ~ ( ~ p110(X0)
& p109(X0) ) )
& ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ p10(X1)
& ~ p110(X1)
& p109(X1) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( p10(X1)
& ~ p110(X1)
& p109(X1) ) ) )
| ~ ( ~ p109(X0)
& p108(X0) ) )
& ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ p9(X1)
& ~ p109(X1)
& p108(X1) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( p9(X1)
& ~ p109(X1)
& p108(X1) ) ) )
| ~ ( ~ p108(X0)
& p107(X0) ) )
& ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ p8(X1)
& ~ p108(X1)
& p107(X1) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( p8(X1)
& ~ p108(X1)
& p107(X1) ) ) )
| ~ ( ~ p107(X0)
& p106(X0) ) )
& ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ p7(X1)
& ~ p107(X1)
& p106(X1) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( p7(X1)
& ~ p107(X1)
& p106(X1) ) ) )
| ~ ( ~ p106(X0)
& p105(X0) ) )
& ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ p6(X1)
& ~ p106(X1)
& p105(X1) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( p6(X1)
& ~ p106(X1)
& p105(X1) ) ) )
| ~ ( ~ p105(X0)
& p104(X0) ) )
& ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ p5(X1)
& ~ p105(X1)
& p104(X1) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( p5(X1)
& ~ p105(X1)
& p104(X1) ) ) )
| ~ ( ~ p104(X0)
& p103(X0) ) )
& ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ p4(X1)
& ~ p104(X1)
& p103(X1) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( p4(X1)
& ~ p104(X1)
& p103(X1) ) ) )
| ~ ( ~ p103(X0)
& p102(X0) ) )
& ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ p3(X1)
& ~ p103(X1)
& p102(X1) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( p3(X1)
& ~ p103(X1)
& p102(X1) ) ) )
| ~ ( ~ p102(X0)
& p101(X0) ) )
& ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ p2(X1)
& ~ p102(X1)
& p101(X1) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( p2(X1)
& ~ p102(X1)
& p101(X1) ) ) )
| ~ ( ~ p101(X0)
& p100(X0) ) )
& ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p11(X1)
| ~ p110(X1) )
| p11(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p11(X1)
| ~ p110(X1) )
| ~ p11(X0) ) )
| ~ p110(X0) )
& ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p10(X1)
| ~ p109(X1) )
| p10(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p10(X1)
| ~ p109(X1) )
| ~ p10(X0) ) )
| ~ p109(X0) )
& ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p9(X1)
| ~ p108(X1) )
| p9(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p9(X1)
| ~ p108(X1) )
| ~ p9(X0) ) )
| ~ p108(X0) )
& ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p8(X1)
| ~ p107(X1) )
| p8(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p8(X1)
| ~ p107(X1) )
| ~ p8(X0) ) )
| ~ p107(X0) )
& ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p7(X1)
| ~ p106(X1) )
| p7(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p7(X1)
| ~ p106(X1) )
| ~ p7(X0) ) )
| ~ p106(X0) )
& ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p6(X1)
| ~ p105(X1) )
| p6(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p6(X1)
| ~ p105(X1) )
| ~ p6(X0) ) )
| ~ p105(X0) )
& ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p5(X1)
| ~ p104(X1) )
| p5(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p5(X1)
| ~ p104(X1) )
| ~ p5(X0) ) )
| ~ p104(X0) )
& ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p4(X1)
| ~ p103(X1) )
| p4(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| ~ p103(X1) )
| ~ p4(X0) ) )
| ~ p103(X0) )
& ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p3(X1)
| ~ p102(X1) )
| p3(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p3(X1)
| ~ p102(X1) )
| ~ p3(X0) ) )
| ~ p102(X0) )
& ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p2(X1)
| ~ p101(X1) )
| p2(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ p101(X1) )
| ~ p2(X0) ) )
| ~ p101(X0) )
& ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1)
| ~ p100(X1) )
| p1(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ~ p100(X1) )
| ~ p1(X0) ) )
| ~ p100(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) ) ) ) ) ) ) ) ) ) ) ) )
& ~ p101(X0)
& p100(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f3,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p5(X0) ) ) ) ) ) ) ) ) ) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ( ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ p11(X1)
& ~ p111(X1)
& p110(X1) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( p11(X1)
& ~ p111(X1)
& p110(X1) ) ) )
| ~ ( ~ p110(X0)
& p109(X0) ) )
& ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ p10(X1)
& ~ p110(X1)
& p109(X1) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( p10(X1)
& ~ p110(X1)
& p109(X1) ) ) )
| ~ ( ~ p109(X0)
& p108(X0) ) )
& ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ p9(X1)
& ~ p109(X1)
& p108(X1) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( p9(X1)
& ~ p109(X1)
& p108(X1) ) ) )
| ~ ( ~ p108(X0)
& p107(X0) ) )
& ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ p8(X1)
& ~ p108(X1)
& p107(X1) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( p8(X1)
& ~ p108(X1)
& p107(X1) ) ) )
| ~ ( ~ p107(X0)
& p106(X0) ) )
& ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ p7(X1)
& ~ p107(X1)
& p106(X1) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( p7(X1)
& ~ p107(X1)
& p106(X1) ) ) )
| ~ ( ~ p106(X0)
& p105(X0) ) )
& ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ p6(X1)
& ~ p106(X1)
& p105(X1) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( p6(X1)
& ~ p106(X1)
& p105(X1) ) ) )
| ~ ( ~ p105(X0)
& p104(X0) ) )
& ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ p5(X1)
& ~ p105(X1)
& p104(X1) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( p5(X1)
& ~ p105(X1)
& p104(X1) ) ) )
| ~ ( ~ p104(X0)
& p103(X0) ) )
& ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ p4(X1)
& ~ p104(X1)
& p103(X1) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( p4(X1)
& ~ p104(X1)
& p103(X1) ) ) )
| ~ ( ~ p103(X0)
& p102(X0) ) )
& ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ p3(X1)
& ~ p103(X1)
& p102(X1) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( p3(X1)
& ~ p103(X1)
& p102(X1) ) ) )
| ~ ( ~ p102(X0)
& p101(X0) ) )
& ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ p2(X1)
& ~ p102(X1)
& p101(X1) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( p2(X1)
& ~ p102(X1)
& p101(X1) ) ) )
| ~ ( ~ p101(X0)
& p100(X0) ) )
& ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p11(X1)
| ~ p110(X1) )
| p11(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p11(X1)
| ~ p110(X1) )
| ~ p11(X0) ) )
| ~ p110(X0) )
& ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p10(X1)
| ~ p109(X1) )
| p10(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p10(X1)
| ~ p109(X1) )
| ~ p10(X0) ) )
| ~ p109(X0) )
& ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p9(X1)
| ~ p108(X1) )
| p9(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p9(X1)
| ~ p108(X1) )
| ~ p9(X0) ) )
| ~ p108(X0) )
& ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p8(X1)
| ~ p107(X1) )
| p8(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p8(X1)
| ~ p107(X1) )
| ~ p8(X0) ) )
| ~ p107(X0) )
& ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p7(X1)
| ~ p106(X1) )
| p7(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p7(X1)
| ~ p106(X1) )
| ~ p7(X0) ) )
| ~ p106(X0) )
& ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p6(X1)
| ~ p105(X1) )
| p6(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p6(X1)
| ~ p105(X1) )
| ~ p6(X0) ) )
| ~ p105(X0) )
& ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p5(X1)
| ~ p104(X1) )
| p5(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p5(X1)
| ~ p104(X1) )
| ~ p5(X0) ) )
| ~ p104(X0) )
& ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p4(X1)
| ~ p103(X1) )
| p4(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| ~ p103(X1) )
| ~ p4(X0) ) )
| ~ p103(X0) )
& ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p3(X1)
| ~ p102(X1) )
| p3(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p3(X1)
| ~ p102(X1) )
| ~ p3(X0) ) )
| ~ p102(X0) )
& ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p2(X1)
| ~ p101(X1) )
| p2(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ p101(X1) )
| ~ p2(X0) ) )
| ~ p101(X0) )
& ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1)
| ~ p100(X1) )
| p1(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ~ p100(X1) )
| ~ p1(X0) ) )
| ~ p100(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) ) ) ) ) ) ) ) ) ) ) ) )
& ~ p101(X0)
& p100(X0) ) ),
inference(negated_conjecture,[status(cth)],[f2]) ).
fof(f4,plain,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| ! [X6] :
( ~ r1(X5,X6)
| ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| p5(X10) ) ) ) ) ) ) ) ) ) )
| ~ ( ! [X11] :
( ~ r1(X0,X11)
| ! [X12] :
( ~ r1(X11,X12)
| ! [X13] :
( ~ r1(X12,X13)
| ! [X14] :
( ~ r1(X13,X14)
| ! [X15] :
( ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| ! [X17] :
( ~ r1(X16,X17)
| ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| ! [X20] :
( ~ r1(X19,X20)
| ( ( ( ~ ! [X21] :
( ~ r1(X20,X21)
| ~ ( ~ p11(X21)
& ~ p111(X21)
& p110(X21) ) )
& ~ ! [X22] :
( ~ r1(X20,X22)
| ~ ( p11(X22)
& ~ p111(X22)
& p110(X22) ) ) )
| ~ ( ~ p110(X20)
& p109(X20) ) )
& ( ( ~ ! [X23] :
( ~ r1(X20,X23)
| ~ ( ~ p10(X23)
& ~ p110(X23)
& p109(X23) ) )
& ~ ! [X24] :
( ~ r1(X20,X24)
| ~ ( p10(X24)
& ~ p110(X24)
& p109(X24) ) ) )
| ~ ( ~ p109(X20)
& p108(X20) ) )
& ( ( ~ ! [X25] :
( ~ r1(X20,X25)
| ~ ( ~ p9(X25)
& ~ p109(X25)
& p108(X25) ) )
& ~ ! [X26] :
( ~ r1(X20,X26)
| ~ ( p9(X26)
& ~ p109(X26)
& p108(X26) ) ) )
| ~ ( ~ p108(X20)
& p107(X20) ) )
& ( ( ~ ! [X27] :
( ~ r1(X20,X27)
| ~ ( ~ p8(X27)
& ~ p108(X27)
& p107(X27) ) )
& ~ ! [X28] :
( ~ r1(X20,X28)
| ~ ( p8(X28)
& ~ p108(X28)
& p107(X28) ) ) )
| ~ ( ~ p107(X20)
& p106(X20) ) )
& ( ( ~ ! [X29] :
( ~ r1(X20,X29)
| ~ ( ~ p7(X29)
& ~ p107(X29)
& p106(X29) ) )
& ~ ! [X30] :
( ~ r1(X20,X30)
| ~ ( p7(X30)
& ~ p107(X30)
& p106(X30) ) ) )
| ~ ( ~ p106(X20)
& p105(X20) ) )
& ( ( ~ ! [X31] :
( ~ r1(X20,X31)
| ~ ( ~ p6(X31)
& ~ p106(X31)
& p105(X31) ) )
& ~ ! [X32] :
( ~ r1(X20,X32)
| ~ ( p6(X32)
& ~ p106(X32)
& p105(X32) ) ) )
| ~ ( ~ p105(X20)
& p104(X20) ) )
& ( ( ~ ! [X33] :
( ~ r1(X20,X33)
| ~ ( ~ p5(X33)
& ~ p105(X33)
& p104(X33) ) )
& ~ ! [X34] :
( ~ r1(X20,X34)
| ~ ( p5(X34)
& ~ p105(X34)
& p104(X34) ) ) )
| ~ ( ~ p104(X20)
& p103(X20) ) )
& ( ( ~ ! [X35] :
( ~ r1(X20,X35)
| ~ ( ~ p4(X35)
& ~ p104(X35)
& p103(X35) ) )
& ~ ! [X36] :
( ~ r1(X20,X36)
| ~ ( p4(X36)
& ~ p104(X36)
& p103(X36) ) ) )
| ~ ( ~ p103(X20)
& p102(X20) ) )
& ( ( ~ ! [X37] :
( ~ r1(X20,X37)
| ~ ( ~ p3(X37)
& ~ p103(X37)
& p102(X37) ) )
& ~ ! [X38] :
( ~ r1(X20,X38)
| ~ ( p3(X38)
& ~ p103(X38)
& p102(X38) ) ) )
| ~ ( ~ p102(X20)
& p101(X20) ) )
& ( ( ~ ! [X39] :
( ~ r1(X20,X39)
| ~ ( ~ p2(X39)
& ~ p102(X39)
& p101(X39) ) )
& ~ ! [X40] :
( ~ r1(X20,X40)
| ~ ( p2(X40)
& ~ p102(X40)
& p101(X40) ) ) )
| ~ ( ~ p101(X20)
& p100(X20) ) )
& ( ( ( ! [X41] :
( ~ r1(X20,X41)
| ~ p11(X41)
| ~ p110(X41) )
| p11(X20) )
& ( ! [X42] :
( ~ r1(X20,X42)
| p11(X42)
| ~ p110(X42) )
| ~ p11(X20) ) )
| ~ p110(X20) )
& ( ( ( ! [X43] :
( ~ r1(X20,X43)
| ~ p10(X43)
| ~ p109(X43) )
| p10(X20) )
& ( ! [X44] :
( ~ r1(X20,X44)
| p10(X44)
| ~ p109(X44) )
| ~ p10(X20) ) )
| ~ p109(X20) )
& ( ( ( ! [X45] :
( ~ r1(X20,X45)
| ~ p9(X45)
| ~ p108(X45) )
| p9(X20) )
& ( ! [X46] :
( ~ r1(X20,X46)
| p9(X46)
| ~ p108(X46) )
| ~ p9(X20) ) )
| ~ p108(X20) )
& ( ( ( ! [X47] :
( ~ r1(X20,X47)
| ~ p8(X47)
| ~ p107(X47) )
| p8(X20) )
& ( ! [X48] :
( ~ r1(X20,X48)
| p8(X48)
| ~ p107(X48) )
| ~ p8(X20) ) )
| ~ p107(X20) )
& ( ( ( ! [X49] :
( ~ r1(X20,X49)
| ~ p7(X49)
| ~ p106(X49) )
| p7(X20) )
& ( ! [X50] :
( ~ r1(X20,X50)
| p7(X50)
| ~ p106(X50) )
| ~ p7(X20) ) )
| ~ p106(X20) )
& ( ( ( ! [X51] :
( ~ r1(X20,X51)
| ~ p6(X51)
| ~ p105(X51) )
| p6(X20) )
& ( ! [X52] :
( ~ r1(X20,X52)
| p6(X52)
| ~ p105(X52) )
| ~ p6(X20) ) )
| ~ p105(X20) )
& ( ( ( ! [X53] :
( ~ r1(X20,X53)
| ~ p5(X53)
| ~ p104(X53) )
| p5(X20) )
& ( ! [X54] :
( ~ r1(X20,X54)
| p5(X54)
| ~ p104(X54) )
| ~ p5(X20) ) )
| ~ p104(X20) )
& ( ( ( ! [X55] :
( ~ r1(X20,X55)
| ~ p4(X55)
| ~ p103(X55) )
| p4(X20) )
& ( ! [X56] :
( ~ r1(X20,X56)
| p4(X56)
| ~ p103(X56) )
| ~ p4(X20) ) )
| ~ p103(X20) )
& ( ( ( ! [X57] :
( ~ r1(X20,X57)
| ~ p3(X57)
| ~ p102(X57) )
| p3(X20) )
& ( ! [X58] :
( ~ r1(X20,X58)
| p3(X58)
| ~ p102(X58) )
| ~ p3(X20) ) )
| ~ p102(X20) )
& ( ( ( ! [X59] :
( ~ r1(X20,X59)
| ~ p2(X59)
| ~ p101(X59) )
| p2(X20) )
& ( ! [X60] :
( ~ r1(X20,X60)
| p2(X60)
| ~ p101(X60) )
| ~ p2(X20) ) )
| ~ p101(X20) )
& ( ( ( ! [X61] :
( ~ r1(X20,X61)
| ~ p1(X61)
| ~ p100(X61) )
| p1(X20) )
& ( ! [X62] :
( ~ r1(X20,X62)
| p1(X62)
| ~ p100(X62) )
| ~ p1(X20) ) )
| ~ p100(X20) )
& ( p110(X20)
| ~ p111(X20) )
& ( p109(X20)
| ~ p110(X20) )
& ( p108(X20)
| ~ p109(X20) )
& ( p107(X20)
| ~ p108(X20) )
& ( p106(X20)
| ~ p107(X20) )
& ( p105(X20)
| ~ p106(X20) )
& ( p104(X20)
| ~ p105(X20) )
& ( p103(X20)
| ~ p104(X20) )
& ( p102(X20)
| ~ p103(X20) )
& ( p101(X20)
| ~ p102(X20) )
& ( p100(X20)
| ~ p101(X20) ) ) ) ) ) ) ) ) ) ) ) )
& ~ p101(X0)
& p100(X0) ) ),
inference(rectify,[],[f3]) ).
fof(f5,plain,
? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| ! [X6] :
( ~ r1(X5,X6)
| ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| p5(X10) ) ) ) ) ) ) ) ) ) )
| ~ ( ! [X11] :
( ~ r1(X0,X11)
| ! [X12] :
( ~ r1(X11,X12)
| ! [X13] :
( ~ r1(X12,X13)
| ! [X14] :
( ~ r1(X13,X14)
| ! [X15] :
( ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| ! [X17] :
( ~ r1(X16,X17)
| ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| ! [X20] :
( ~ r1(X19,X20)
| ( ( ( ~ ! [X21] :
( ~ r1(X20,X21)
| ~ ( ~ p11(X21)
& ~ p111(X21)
& p110(X21) ) )
& ~ ! [X22] :
( ~ r1(X20,X22)
| ~ ( p11(X22)
& ~ p111(X22)
& p110(X22) ) ) )
| ~ ( ~ p110(X20)
& p109(X20) ) )
& ( ( ~ ! [X23] :
( ~ r1(X20,X23)
| ~ ( ~ p10(X23)
& ~ p110(X23)
& p109(X23) ) )
& ~ ! [X24] :
( ~ r1(X20,X24)
| ~ ( p10(X24)
& ~ p110(X24)
& p109(X24) ) ) )
| ~ ( ~ p109(X20)
& p108(X20) ) )
& ( ( ~ ! [X25] :
( ~ r1(X20,X25)
| ~ ( ~ p9(X25)
& ~ p109(X25)
& p108(X25) ) )
& ~ ! [X26] :
( ~ r1(X20,X26)
| ~ ( p9(X26)
& ~ p109(X26)
& p108(X26) ) ) )
| ~ ( ~ p108(X20)
& p107(X20) ) )
& ( ( ~ ! [X27] :
( ~ r1(X20,X27)
| ~ ( ~ p8(X27)
& ~ p108(X27)
& p107(X27) ) )
& ~ ! [X28] :
( ~ r1(X20,X28)
| ~ ( p8(X28)
& ~ p108(X28)
& p107(X28) ) ) )
| ~ ( ~ p107(X20)
& p106(X20) ) )
& ( ( ~ ! [X29] :
( ~ r1(X20,X29)
| ~ ( ~ p7(X29)
& ~ p107(X29)
& p106(X29) ) )
& ~ ! [X30] :
( ~ r1(X20,X30)
| ~ ( p7(X30)
& ~ p107(X30)
& p106(X30) ) ) )
| ~ ( ~ p106(X20)
& p105(X20) ) )
& ( ( ~ ! [X31] :
( ~ r1(X20,X31)
| ~ ( ~ p6(X31)
& ~ p106(X31)
& p105(X31) ) )
& ~ ! [X32] :
( ~ r1(X20,X32)
| ~ ( p6(X32)
& ~ p106(X32)
& p105(X32) ) ) )
| ~ ( ~ p105(X20)
& p104(X20) ) )
& ( ( ~ ! [X33] :
( ~ r1(X20,X33)
| ~ ( ~ p5(X33)
& ~ p105(X33)
& p104(X33) ) )
& ~ ! [X34] :
( ~ r1(X20,X34)
| ~ ( p5(X34)
& ~ p105(X34)
& p104(X34) ) ) )
| ~ ( ~ p104(X20)
& p103(X20) ) )
& ( ( ~ ! [X35] :
( ~ r1(X20,X35)
| ~ ( ~ p4(X35)
& ~ p104(X35)
& p103(X35) ) )
& ~ ! [X36] :
( ~ r1(X20,X36)
| ~ ( p4(X36)
& ~ p104(X36)
& p103(X36) ) ) )
| ~ ( ~ p103(X20)
& p102(X20) ) )
& ( ( ~ ! [X37] :
( ~ r1(X20,X37)
| ~ ( ~ p3(X37)
& ~ p103(X37)
& p102(X37) ) )
& ~ ! [X38] :
( ~ r1(X20,X38)
| ~ ( p3(X38)
& ~ p103(X38)
& p102(X38) ) ) )
| ~ ( ~ p102(X20)
& p101(X20) ) )
& ( ( ~ ! [X39] :
( ~ r1(X20,X39)
| ~ ( ~ p2(X39)
& ~ p102(X39)
& p101(X39) ) )
& ~ ! [X40] :
( ~ r1(X20,X40)
| ~ ( p2(X40)
& ~ p102(X40)
& p101(X40) ) ) )
| ~ ( ~ p101(X20)
& p100(X20) ) )
& ( ( ( ! [X41] :
( ~ r1(X20,X41)
| ~ p11(X41)
| ~ p110(X41) )
| p11(X20) )
& ( ! [X42] :
( ~ r1(X20,X42)
| p11(X42)
| ~ p110(X42) )
| ~ p11(X20) ) )
| ~ p110(X20) )
& ( ( ( ! [X43] :
( ~ r1(X20,X43)
| ~ p10(X43)
| ~ p109(X43) )
| p10(X20) )
& ( ! [X44] :
( ~ r1(X20,X44)
| p10(X44)
| ~ p109(X44) )
| ~ p10(X20) ) )
| ~ p109(X20) )
& ( ( ( ! [X45] :
( ~ r1(X20,X45)
| ~ p9(X45)
| ~ p108(X45) )
| p9(X20) )
& ( ! [X46] :
( ~ r1(X20,X46)
| p9(X46)
| ~ p108(X46) )
| ~ p9(X20) ) )
| ~ p108(X20) )
& ( ( ( ! [X47] :
( ~ r1(X20,X47)
| ~ p8(X47)
| ~ p107(X47) )
| p8(X20) )
& ( ! [X48] :
( ~ r1(X20,X48)
| p8(X48)
| ~ p107(X48) )
| ~ p8(X20) ) )
| ~ p107(X20) )
& ( ( ( ! [X49] :
( ~ r1(X20,X49)
| ~ p7(X49)
| ~ p106(X49) )
| p7(X20) )
& ( ! [X50] :
( ~ r1(X20,X50)
| p7(X50)
| ~ p106(X50) )
| ~ p7(X20) ) )
| ~ p106(X20) )
& ( ( ( ! [X51] :
( ~ r1(X20,X51)
| ~ p6(X51)
| ~ p105(X51) )
| p6(X20) )
& ( ! [X52] :
( ~ r1(X20,X52)
| p6(X52)
| ~ p105(X52) )
| ~ p6(X20) ) )
| ~ p105(X20) )
& ( ( ( ! [X53] :
( ~ r1(X20,X53)
| ~ p5(X53)
| ~ p104(X53) )
| p5(X20) )
& ( ! [X54] :
( ~ r1(X20,X54)
| p5(X54)
| ~ p104(X54) )
| ~ p5(X20) ) )
| ~ p104(X20) )
& ( ( ( ! [X55] :
( ~ r1(X20,X55)
| ~ p4(X55)
| ~ p103(X55) )
| p4(X20) )
& ( ! [X56] :
( ~ r1(X20,X56)
| p4(X56)
| ~ p103(X56) )
| ~ p4(X20) ) )
| ~ p103(X20) )
& ( ( ( ! [X57] :
( ~ r1(X20,X57)
| ~ p3(X57)
| ~ p102(X57) )
| p3(X20) )
& ( ! [X58] :
( ~ r1(X20,X58)
| p3(X58)
| ~ p102(X58) )
| ~ p3(X20) ) )
| ~ p102(X20) )
& ( ( ( ! [X59] :
( ~ r1(X20,X59)
| ~ p2(X59)
| ~ p101(X59) )
| p2(X20) )
& ( ! [X60] :
( ~ r1(X20,X60)
| p2(X60)
| ~ p101(X60) )
| ~ p2(X20) ) )
| ~ p101(X20) )
& ( ( ( ! [X61] :
( ~ r1(X20,X61)
| ~ p1(X61)
| ~ p100(X61) )
| p1(X20) )
& ( ! [X62] :
( ~ r1(X20,X62)
| p1(X62)
| ~ p100(X62) )
| ~ p1(X20) ) )
| ~ p100(X20) )
& ( p110(X20)
| ~ p111(X20) )
& ( p109(X20)
| ~ p110(X20) )
& ( p108(X20)
| ~ p109(X20) )
& ( p107(X20)
| ~ p108(X20) )
& ( p106(X20)
| ~ p107(X20) )
& ( p105(X20)
| ~ p106(X20) )
& ( p104(X20)
| ~ p105(X20) )
& ( p103(X20)
| ~ p104(X20) )
& ( p102(X20)
| ~ p103(X20) )
& ( p101(X20)
| ~ p102(X20) )
& ( p100(X20)
| ~ p101(X20) ) ) ) ) ) ) ) ) ) ) ) )
& ~ p101(X0)
& p100(X0) ) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| ! [X6] :
( ~ r1(X5,X6)
| ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| p5(X10) ) ) ) ) ) ) ) ) ) )
| ~ ( ! [X11] :
( ~ r1(X0,X11)
| ! [X12] :
( ~ r1(X11,X12)
| ! [X13] :
( ~ r1(X12,X13)
| ! [X14] :
( ~ r1(X13,X14)
| ! [X15] :
( ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| ! [X17] :
( ~ r1(X16,X17)
| ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| ! [X20] :
( ~ r1(X19,X20)
| ( ( ( ~ ! [X21] :
( ~ r1(X20,X21)
| ~ ( ~ p11(X21)
& p110(X21) ) )
& ~ ! [X22] :
( ~ r1(X20,X22)
| ~ ( p11(X22)
& p110(X22) ) ) )
| ~ ( ~ p110(X20)
& p109(X20) ) )
& ( ( ~ ! [X23] :
( ~ r1(X20,X23)
| ~ ( ~ p10(X23)
& ~ p110(X23)
& p109(X23) ) )
& ~ ! [X24] :
( ~ r1(X20,X24)
| ~ ( p10(X24)
& ~ p110(X24)
& p109(X24) ) ) )
| ~ ( ~ p109(X20)
& p108(X20) ) )
& ( ( ~ ! [X25] :
( ~ r1(X20,X25)
| ~ ( ~ p9(X25)
& ~ p109(X25)
& p108(X25) ) )
& ~ ! [X26] :
( ~ r1(X20,X26)
| ~ ( p9(X26)
& ~ p109(X26)
& p108(X26) ) ) )
| ~ ( ~ p108(X20)
& p107(X20) ) )
& ( ( ~ ! [X27] :
( ~ r1(X20,X27)
| ~ ( ~ p8(X27)
& ~ p108(X27)
& p107(X27) ) )
& ~ ! [X28] :
( ~ r1(X20,X28)
| ~ ( p8(X28)
& ~ p108(X28)
& p107(X28) ) ) )
| ~ ( ~ p107(X20)
& p106(X20) ) )
& ( ( ~ ! [X29] :
( ~ r1(X20,X29)
| ~ ( ~ p7(X29)
& ~ p107(X29)
& p106(X29) ) )
& ~ ! [X30] :
( ~ r1(X20,X30)
| ~ ( p7(X30)
& ~ p107(X30)
& p106(X30) ) ) )
| ~ ( ~ p106(X20)
& p105(X20) ) )
& ( ( ~ ! [X31] :
( ~ r1(X20,X31)
| ~ ( ~ p6(X31)
& ~ p106(X31)
& p105(X31) ) )
& ~ ! [X32] :
( ~ r1(X20,X32)
| ~ ( p6(X32)
& ~ p106(X32)
& p105(X32) ) ) )
| ~ ( ~ p105(X20)
& p104(X20) ) )
& ( ( ~ ! [X33] :
( ~ r1(X20,X33)
| ~ ( ~ p5(X33)
& ~ p105(X33)
& p104(X33) ) )
& ~ ! [X34] :
( ~ r1(X20,X34)
| ~ ( p5(X34)
& ~ p105(X34)
& p104(X34) ) ) )
| ~ ( ~ p104(X20)
& p103(X20) ) )
& ( ( ~ ! [X35] :
( ~ r1(X20,X35)
| ~ ( ~ p4(X35)
& ~ p104(X35)
& p103(X35) ) )
& ~ ! [X36] :
( ~ r1(X20,X36)
| ~ ( p4(X36)
& ~ p104(X36)
& p103(X36) ) ) )
| ~ ( ~ p103(X20)
& p102(X20) ) )
& ( ( ~ ! [X37] :
( ~ r1(X20,X37)
| ~ ( ~ p3(X37)
& ~ p103(X37)
& p102(X37) ) )
& ~ ! [X38] :
( ~ r1(X20,X38)
| ~ ( p3(X38)
& ~ p103(X38)
& p102(X38) ) ) )
| ~ ( ~ p102(X20)
& p101(X20) ) )
& ( ( ~ ! [X39] :
( ~ r1(X20,X39)
| ~ ( ~ p2(X39)
& ~ p102(X39)
& p101(X39) ) )
& ~ ! [X40] :
( ~ r1(X20,X40)
| ~ ( p2(X40)
& ~ p102(X40)
& p101(X40) ) ) )
| ~ ( ~ p101(X20)
& p100(X20) ) )
& ( ( ( ! [X41] :
( ~ r1(X20,X41)
| ~ p11(X41)
| ~ p110(X41) )
| p11(X20) )
& ( ! [X42] :
( ~ r1(X20,X42)
| p11(X42)
| ~ p110(X42) )
| ~ p11(X20) ) )
| ~ p110(X20) )
& ( ( ( ! [X43] :
( ~ r1(X20,X43)
| ~ p10(X43)
| ~ p109(X43) )
| p10(X20) )
& ( ! [X44] :
( ~ r1(X20,X44)
| p10(X44)
| ~ p109(X44) )
| ~ p10(X20) ) )
| ~ p109(X20) )
& ( ( ( ! [X45] :
( ~ r1(X20,X45)
| ~ p9(X45)
| ~ p108(X45) )
| p9(X20) )
& ( ! [X46] :
( ~ r1(X20,X46)
| p9(X46)
| ~ p108(X46) )
| ~ p9(X20) ) )
| ~ p108(X20) )
& ( ( ( ! [X47] :
( ~ r1(X20,X47)
| ~ p8(X47)
| ~ p107(X47) )
| p8(X20) )
& ( ! [X48] :
( ~ r1(X20,X48)
| p8(X48)
| ~ p107(X48) )
| ~ p8(X20) ) )
| ~ p107(X20) )
& ( ( ( ! [X49] :
( ~ r1(X20,X49)
| ~ p7(X49)
| ~ p106(X49) )
| p7(X20) )
& ( ! [X50] :
( ~ r1(X20,X50)
| p7(X50)
| ~ p106(X50) )
| ~ p7(X20) ) )
| ~ p106(X20) )
& ( ( ( ! [X51] :
( ~ r1(X20,X51)
| ~ p6(X51)
| ~ p105(X51) )
| p6(X20) )
& ( ! [X52] :
( ~ r1(X20,X52)
| p6(X52)
| ~ p105(X52) )
| ~ p6(X20) ) )
| ~ p105(X20) )
& ( ( ( ! [X53] :
( ~ r1(X20,X53)
| ~ p5(X53)
| ~ p104(X53) )
| p5(X20) )
& ( ! [X54] :
( ~ r1(X20,X54)
| p5(X54)
| ~ p104(X54) )
| ~ p5(X20) ) )
| ~ p104(X20) )
& ( ( ( ! [X55] :
( ~ r1(X20,X55)
| ~ p4(X55)
| ~ p103(X55) )
| p4(X20) )
& ( ! [X56] :
( ~ r1(X20,X56)
| p4(X56)
| ~ p103(X56) )
| ~ p4(X20) ) )
| ~ p103(X20) )
& ( ( ( ! [X57] :
( ~ r1(X20,X57)
| ~ p3(X57)
| ~ p102(X57) )
| p3(X20) )
& ( ! [X58] :
( ~ r1(X20,X58)
| p3(X58)
| ~ p102(X58) )
| ~ p3(X20) ) )
| ~ p102(X20) )
& ( ( ( ! [X59] :
( ~ r1(X20,X59)
| ~ p2(X59)
| ~ p101(X59) )
| p2(X20) )
& ( ! [X60] :
( ~ r1(X20,X60)
| p2(X60)
| ~ p101(X60) )
| ~ p2(X20) ) )
| ~ p101(X20) )
& ( ( ( ! [X61] :
( ~ r1(X20,X61)
| ~ p1(X61)
| ~ p100(X61) )
| p1(X20) )
& ( ! [X62] :
( ~ r1(X20,X62)
| p1(X62)
| ~ p100(X62) )
| ~ p1(X20) ) )
| ~ p100(X20) )
& ( p109(X20)
| ~ p110(X20) )
& ( p108(X20)
| ~ p109(X20) )
& ( p107(X20)
| ~ p108(X20) )
& ( p106(X20)
| ~ p107(X20) )
& ( p105(X20)
| ~ p106(X20) )
& ( p104(X20)
| ~ p105(X20) )
& ( p103(X20)
| ~ p104(X20) )
& ( p102(X20)
| ~ p103(X20) )
& ( p101(X20)
| ~ p102(X20) )
& ( p100(X20)
| ~ p101(X20) ) ) ) ) ) ) ) ) ) ) ) )
& ~ p101(X0)
& p100(X0) ) ),
inference(pure_predicate_removal,[],[f5]) ).
fof(f7,plain,
? [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| ! [X6] :
( ~ r1(X5,X6)
| ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| p5(X10) ) ) ) ) ) ) ) ) ) )
& ! [X11] :
( ~ r1(X0,X11)
| ! [X12] :
( ~ r1(X11,X12)
| ! [X13] :
( ~ r1(X12,X13)
| ! [X14] :
( ~ r1(X13,X14)
| ! [X15] :
( ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| ! [X17] :
( ~ r1(X16,X17)
| ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| ! [X20] :
( ~ r1(X19,X20)
| ( ( ( ? [X21] :
( r1(X20,X21)
& ~ p11(X21)
& p110(X21) )
& ? [X22] :
( r1(X20,X22)
& p11(X22)
& p110(X22) ) )
| p110(X20)
| ~ p109(X20) )
& ( ( ? [X23] :
( r1(X20,X23)
& ~ p10(X23)
& ~ p110(X23)
& p109(X23) )
& ? [X24] :
( r1(X20,X24)
& p10(X24)
& ~ p110(X24)
& p109(X24) ) )
| p109(X20)
| ~ p108(X20) )
& ( ( ? [X25] :
( r1(X20,X25)
& ~ p9(X25)
& ~ p109(X25)
& p108(X25) )
& ? [X26] :
( r1(X20,X26)
& p9(X26)
& ~ p109(X26)
& p108(X26) ) )
| p108(X20)
| ~ p107(X20) )
& ( ( ? [X27] :
( r1(X20,X27)
& ~ p8(X27)
& ~ p108(X27)
& p107(X27) )
& ? [X28] :
( r1(X20,X28)
& p8(X28)
& ~ p108(X28)
& p107(X28) ) )
| p107(X20)
| ~ p106(X20) )
& ( ( ? [X29] :
( r1(X20,X29)
& ~ p7(X29)
& ~ p107(X29)
& p106(X29) )
& ? [X30] :
( r1(X20,X30)
& p7(X30)
& ~ p107(X30)
& p106(X30) ) )
| p106(X20)
| ~ p105(X20) )
& ( ( ? [X31] :
( r1(X20,X31)
& ~ p6(X31)
& ~ p106(X31)
& p105(X31) )
& ? [X32] :
( r1(X20,X32)
& p6(X32)
& ~ p106(X32)
& p105(X32) ) )
| p105(X20)
| ~ p104(X20) )
& ( ( ? [X33] :
( r1(X20,X33)
& ~ p5(X33)
& ~ p105(X33)
& p104(X33) )
& ? [X34] :
( r1(X20,X34)
& p5(X34)
& ~ p105(X34)
& p104(X34) ) )
| p104(X20)
| ~ p103(X20) )
& ( ( ? [X35] :
( r1(X20,X35)
& ~ p4(X35)
& ~ p104(X35)
& p103(X35) )
& ? [X36] :
( r1(X20,X36)
& p4(X36)
& ~ p104(X36)
& p103(X36) ) )
| p103(X20)
| ~ p102(X20) )
& ( ( ? [X37] :
( r1(X20,X37)
& ~ p3(X37)
& ~ p103(X37)
& p102(X37) )
& ? [X38] :
( r1(X20,X38)
& p3(X38)
& ~ p103(X38)
& p102(X38) ) )
| p102(X20)
| ~ p101(X20) )
& ( ( ? [X39] :
( r1(X20,X39)
& ~ p2(X39)
& ~ p102(X39)
& p101(X39) )
& ? [X40] :
( r1(X20,X40)
& p2(X40)
& ~ p102(X40)
& p101(X40) ) )
| p101(X20)
| ~ p100(X20) )
& ( ( ( ! [X41] :
( ~ r1(X20,X41)
| ~ p11(X41)
| ~ p110(X41) )
| p11(X20) )
& ( ! [X42] :
( ~ r1(X20,X42)
| p11(X42)
| ~ p110(X42) )
| ~ p11(X20) ) )
| ~ p110(X20) )
& ( ( ( ! [X43] :
( ~ r1(X20,X43)
| ~ p10(X43)
| ~ p109(X43) )
| p10(X20) )
& ( ! [X44] :
( ~ r1(X20,X44)
| p10(X44)
| ~ p109(X44) )
| ~ p10(X20) ) )
| ~ p109(X20) )
& ( ( ( ! [X45] :
( ~ r1(X20,X45)
| ~ p9(X45)
| ~ p108(X45) )
| p9(X20) )
& ( ! [X46] :
( ~ r1(X20,X46)
| p9(X46)
| ~ p108(X46) )
| ~ p9(X20) ) )
| ~ p108(X20) )
& ( ( ( ! [X47] :
( ~ r1(X20,X47)
| ~ p8(X47)
| ~ p107(X47) )
| p8(X20) )
& ( ! [X48] :
( ~ r1(X20,X48)
| p8(X48)
| ~ p107(X48) )
| ~ p8(X20) ) )
| ~ p107(X20) )
& ( ( ( ! [X49] :
( ~ r1(X20,X49)
| ~ p7(X49)
| ~ p106(X49) )
| p7(X20) )
& ( ! [X50] :
( ~ r1(X20,X50)
| p7(X50)
| ~ p106(X50) )
| ~ p7(X20) ) )
| ~ p106(X20) )
& ( ( ( ! [X51] :
( ~ r1(X20,X51)
| ~ p6(X51)
| ~ p105(X51) )
| p6(X20) )
& ( ! [X52] :
( ~ r1(X20,X52)
| p6(X52)
| ~ p105(X52) )
| ~ p6(X20) ) )
| ~ p105(X20) )
& ( ( ( ! [X53] :
( ~ r1(X20,X53)
| ~ p5(X53)
| ~ p104(X53) )
| p5(X20) )
& ( ! [X54] :
( ~ r1(X20,X54)
| p5(X54)
| ~ p104(X54) )
| ~ p5(X20) ) )
| ~ p104(X20) )
& ( ( ( ! [X55] :
( ~ r1(X20,X55)
| ~ p4(X55)
| ~ p103(X55) )
| p4(X20) )
& ( ! [X56] :
( ~ r1(X20,X56)
| p4(X56)
| ~ p103(X56) )
| ~ p4(X20) ) )
| ~ p103(X20) )
& ( ( ( ! [X57] :
( ~ r1(X20,X57)
| ~ p3(X57)
| ~ p102(X57) )
| p3(X20) )
& ( ! [X58] :
( ~ r1(X20,X58)
| p3(X58)
| ~ p102(X58) )
| ~ p3(X20) ) )
| ~ p102(X20) )
& ( ( ( ! [X59] :
( ~ r1(X20,X59)
| ~ p2(X59)
| ~ p101(X59) )
| p2(X20) )
& ( ! [X60] :
( ~ r1(X20,X60)
| p2(X60)
| ~ p101(X60) )
| ~ p2(X20) ) )
| ~ p101(X20) )
& ( ( ( ! [X61] :
( ~ r1(X20,X61)
| ~ p1(X61)
| ~ p100(X61) )
| p1(X20) )
& ( ! [X62] :
( ~ r1(X20,X62)
| p1(X62)
| ~ p100(X62) )
| ~ p1(X20) ) )
| ~ p100(X20) )
& ( p109(X20)
| ~ p110(X20) )
& ( p108(X20)
| ~ p109(X20) )
& ( p107(X20)
| ~ p108(X20) )
& ( p106(X20)
| ~ p107(X20) )
& ( p105(X20)
| ~ p106(X20) )
& ( p104(X20)
| ~ p105(X20) )
& ( p103(X20)
| ~ p104(X20) )
& ( p102(X20)
| ~ p103(X20) )
& ( p101(X20)
| ~ p102(X20) )
& ( p100(X20)
| ~ p101(X20) ) ) ) ) ) ) ) ) ) ) ) )
& ~ p101(X0)
& p100(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f8,plain,
? [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| ! [X6] :
( ~ r1(X5,X6)
| ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| p5(X10) ) ) ) ) ) ) ) ) ) )
& ! [X11] :
( ~ r1(X0,X11)
| ! [X12] :
( ~ r1(X11,X12)
| ! [X13] :
( ~ r1(X12,X13)
| ! [X14] :
( ~ r1(X13,X14)
| ! [X15] :
( ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| ! [X17] :
( ~ r1(X16,X17)
| ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| ! [X20] :
( ~ r1(X19,X20)
| ( ( ( ? [X21] :
( r1(X20,X21)
& ~ p11(X21)
& p110(X21) )
& ? [X22] :
( r1(X20,X22)
& p11(X22)
& p110(X22) ) )
| p110(X20)
| ~ p109(X20) )
& ( ( ? [X23] :
( r1(X20,X23)
& ~ p10(X23)
& ~ p110(X23)
& p109(X23) )
& ? [X24] :
( r1(X20,X24)
& p10(X24)
& ~ p110(X24)
& p109(X24) ) )
| p109(X20)
| ~ p108(X20) )
& ( ( ? [X25] :
( r1(X20,X25)
& ~ p9(X25)
& ~ p109(X25)
& p108(X25) )
& ? [X26] :
( r1(X20,X26)
& p9(X26)
& ~ p109(X26)
& p108(X26) ) )
| p108(X20)
| ~ p107(X20) )
& ( ( ? [X27] :
( r1(X20,X27)
& ~ p8(X27)
& ~ p108(X27)
& p107(X27) )
& ? [X28] :
( r1(X20,X28)
& p8(X28)
& ~ p108(X28)
& p107(X28) ) )
| p107(X20)
| ~ p106(X20) )
& ( ( ? [X29] :
( r1(X20,X29)
& ~ p7(X29)
& ~ p107(X29)
& p106(X29) )
& ? [X30] :
( r1(X20,X30)
& p7(X30)
& ~ p107(X30)
& p106(X30) ) )
| p106(X20)
| ~ p105(X20) )
& ( ( ? [X31] :
( r1(X20,X31)
& ~ p6(X31)
& ~ p106(X31)
& p105(X31) )
& ? [X32] :
( r1(X20,X32)
& p6(X32)
& ~ p106(X32)
& p105(X32) ) )
| p105(X20)
| ~ p104(X20) )
& ( ( ? [X33] :
( r1(X20,X33)
& ~ p5(X33)
& ~ p105(X33)
& p104(X33) )
& ? [X34] :
( r1(X20,X34)
& p5(X34)
& ~ p105(X34)
& p104(X34) ) )
| p104(X20)
| ~ p103(X20) )
& ( ( ? [X35] :
( r1(X20,X35)
& ~ p4(X35)
& ~ p104(X35)
& p103(X35) )
& ? [X36] :
( r1(X20,X36)
& p4(X36)
& ~ p104(X36)
& p103(X36) ) )
| p103(X20)
| ~ p102(X20) )
& ( ( ? [X37] :
( r1(X20,X37)
& ~ p3(X37)
& ~ p103(X37)
& p102(X37) )
& ? [X38] :
( r1(X20,X38)
& p3(X38)
& ~ p103(X38)
& p102(X38) ) )
| p102(X20)
| ~ p101(X20) )
& ( ( ? [X39] :
( r1(X20,X39)
& ~ p2(X39)
& ~ p102(X39)
& p101(X39) )
& ? [X40] :
( r1(X20,X40)
& p2(X40)
& ~ p102(X40)
& p101(X40) ) )
| p101(X20)
| ~ p100(X20) )
& ( ( ( ! [X41] :
( ~ r1(X20,X41)
| ~ p11(X41)
| ~ p110(X41) )
| p11(X20) )
& ( ! [X42] :
( ~ r1(X20,X42)
| p11(X42)
| ~ p110(X42) )
| ~ p11(X20) ) )
| ~ p110(X20) )
& ( ( ( ! [X43] :
( ~ r1(X20,X43)
| ~ p10(X43)
| ~ p109(X43) )
| p10(X20) )
& ( ! [X44] :
( ~ r1(X20,X44)
| p10(X44)
| ~ p109(X44) )
| ~ p10(X20) ) )
| ~ p109(X20) )
& ( ( ( ! [X45] :
( ~ r1(X20,X45)
| ~ p9(X45)
| ~ p108(X45) )
| p9(X20) )
& ( ! [X46] :
( ~ r1(X20,X46)
| p9(X46)
| ~ p108(X46) )
| ~ p9(X20) ) )
| ~ p108(X20) )
& ( ( ( ! [X47] :
( ~ r1(X20,X47)
| ~ p8(X47)
| ~ p107(X47) )
| p8(X20) )
& ( ! [X48] :
( ~ r1(X20,X48)
| p8(X48)
| ~ p107(X48) )
| ~ p8(X20) ) )
| ~ p107(X20) )
& ( ( ( ! [X49] :
( ~ r1(X20,X49)
| ~ p7(X49)
| ~ p106(X49) )
| p7(X20) )
& ( ! [X50] :
( ~ r1(X20,X50)
| p7(X50)
| ~ p106(X50) )
| ~ p7(X20) ) )
| ~ p106(X20) )
& ( ( ( ! [X51] :
( ~ r1(X20,X51)
| ~ p6(X51)
| ~ p105(X51) )
| p6(X20) )
& ( ! [X52] :
( ~ r1(X20,X52)
| p6(X52)
| ~ p105(X52) )
| ~ p6(X20) ) )
| ~ p105(X20) )
& ( ( ( ! [X53] :
( ~ r1(X20,X53)
| ~ p5(X53)
| ~ p104(X53) )
| p5(X20) )
& ( ! [X54] :
( ~ r1(X20,X54)
| p5(X54)
| ~ p104(X54) )
| ~ p5(X20) ) )
| ~ p104(X20) )
& ( ( ( ! [X55] :
( ~ r1(X20,X55)
| ~ p4(X55)
| ~ p103(X55) )
| p4(X20) )
& ( ! [X56] :
( ~ r1(X20,X56)
| p4(X56)
| ~ p103(X56) )
| ~ p4(X20) ) )
| ~ p103(X20) )
& ( ( ( ! [X57] :
( ~ r1(X20,X57)
| ~ p3(X57)
| ~ p102(X57) )
| p3(X20) )
& ( ! [X58] :
( ~ r1(X20,X58)
| p3(X58)
| ~ p102(X58) )
| ~ p3(X20) ) )
| ~ p102(X20) )
& ( ( ( ! [X59] :
( ~ r1(X20,X59)
| ~ p2(X59)
| ~ p101(X59) )
| p2(X20) )
& ( ! [X60] :
( ~ r1(X20,X60)
| p2(X60)
| ~ p101(X60) )
| ~ p2(X20) ) )
| ~ p101(X20) )
& ( ( ( ! [X61] :
( ~ r1(X20,X61)
| ~ p1(X61)
| ~ p100(X61) )
| p1(X20) )
& ( ! [X62] :
( ~ r1(X20,X62)
| p1(X62)
| ~ p100(X62) )
| ~ p1(X20) ) )
| ~ p100(X20) )
& ( p109(X20)
| ~ p110(X20) )
& ( p108(X20)
| ~ p109(X20) )
& ( p107(X20)
| ~ p108(X20) )
& ( p106(X20)
| ~ p107(X20) )
& ( p105(X20)
| ~ p106(X20) )
& ( p104(X20)
| ~ p105(X20) )
& ( p103(X20)
| ~ p104(X20) )
& ( p102(X20)
| ~ p103(X20) )
& ( p101(X20)
| ~ p102(X20) )
& ( p100(X20)
| ~ p101(X20) ) ) ) ) ) ) ) ) ) ) ) )
& ~ p101(X0)
& p100(X0) ),
inference(flattening,[],[f7]) ).
fof(f9,definition,
! [X20] :
( ( ? [X39] :
( r1(X20,X39)
& ~ p2(X39)
& ~ p102(X39)
& p101(X39) )
& ? [X40] :
( r1(X20,X40)
& p2(X40)
& ~ p102(X40)
& p101(X40) ) )
| p101(X20)
| ~ p100(X20)
| ~ sP0(X20) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f10,definition,
! [X20] :
( ( ? [X37] :
( r1(X20,X37)
& ~ p3(X37)
& ~ p103(X37)
& p102(X37) )
& ? [X38] :
( r1(X20,X38)
& p3(X38)
& ~ p103(X38)
& p102(X38) ) )
| p102(X20)
| ~ p101(X20)
| ~ sP1(X20) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f11,definition,
! [X20] :
( ( ? [X35] :
( r1(X20,X35)
& ~ p4(X35)
& ~ p104(X35)
& p103(X35) )
& ? [X36] :
( r1(X20,X36)
& p4(X36)
& ~ p104(X36)
& p103(X36) ) )
| p103(X20)
| ~ p102(X20)
| ~ sP2(X20) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f12,definition,
! [X20] :
( ( ? [X33] :
( r1(X20,X33)
& ~ p5(X33)
& ~ p105(X33)
& p104(X33) )
& ? [X34] :
( r1(X20,X34)
& p5(X34)
& ~ p105(X34)
& p104(X34) ) )
| p104(X20)
| ~ p103(X20)
| ~ sP3(X20) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f13,definition,
! [X20] :
( ( ? [X31] :
( r1(X20,X31)
& ~ p6(X31)
& ~ p106(X31)
& p105(X31) )
& ? [X32] :
( r1(X20,X32)
& p6(X32)
& ~ p106(X32)
& p105(X32) ) )
| p105(X20)
| ~ p104(X20)
| ~ sP4(X20) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f14,definition,
! [X20] :
( ( ? [X29] :
( r1(X20,X29)
& ~ p7(X29)
& ~ p107(X29)
& p106(X29) )
& ? [X30] :
( r1(X20,X30)
& p7(X30)
& ~ p107(X30)
& p106(X30) ) )
| p106(X20)
| ~ p105(X20)
| ~ sP5(X20) ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f15,definition,
! [X20] :
( ( ? [X27] :
( r1(X20,X27)
& ~ p8(X27)
& ~ p108(X27)
& p107(X27) )
& ? [X28] :
( r1(X20,X28)
& p8(X28)
& ~ p108(X28)
& p107(X28) ) )
| p107(X20)
| ~ p106(X20)
| ~ sP6(X20) ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f16,definition,
! [X20] :
( ( ? [X25] :
( r1(X20,X25)
& ~ p9(X25)
& ~ p109(X25)
& p108(X25) )
& ? [X26] :
( r1(X20,X26)
& p9(X26)
& ~ p109(X26)
& p108(X26) ) )
| p108(X20)
| ~ p107(X20)
| ~ sP7(X20) ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f17,definition,
! [X20] :
( ( ? [X23] :
( r1(X20,X23)
& ~ p10(X23)
& ~ p110(X23)
& p109(X23) )
& ? [X24] :
( r1(X20,X24)
& p10(X24)
& ~ p110(X24)
& p109(X24) ) )
| p109(X20)
| ~ p108(X20)
| ~ sP8(X20) ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f18,definition,
! [X20] :
( ( ? [X21] :
( r1(X20,X21)
& ~ p11(X21)
& p110(X21) )
& ? [X22] :
( r1(X20,X22)
& p11(X22)
& p110(X22) ) )
| p110(X20)
| ~ p109(X20)
| ~ sP9(X20) ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f19,definition,
! [X20] :
( ( ( ! [X61] :
( ~ r1(X20,X61)
| ~ p1(X61)
| ~ p100(X61) )
| p1(X20) )
& ( ! [X62] :
( ~ r1(X20,X62)
| p1(X62)
| ~ p100(X62) )
| ~ p1(X20) ) )
| ~ p100(X20)
| ~ sP10(X20) ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
fof(f20,definition,
! [X20] :
( ( ( ! [X59] :
( ~ r1(X20,X59)
| ~ p2(X59)
| ~ p101(X59) )
| p2(X20) )
& ( ! [X60] :
( ~ r1(X20,X60)
| p2(X60)
| ~ p101(X60) )
| ~ p2(X20) ) )
| ~ p101(X20)
| ~ sP11(X20) ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
fof(f21,definition,
! [X20] :
( ( ( ! [X57] :
( ~ r1(X20,X57)
| ~ p3(X57)
| ~ p102(X57) )
| p3(X20) )
& ( ! [X58] :
( ~ r1(X20,X58)
| p3(X58)
| ~ p102(X58) )
| ~ p3(X20) ) )
| ~ p102(X20)
| ~ sP12(X20) ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f22,definition,
! [X20] :
( ( ( ! [X55] :
( ~ r1(X20,X55)
| ~ p4(X55)
| ~ p103(X55) )
| p4(X20) )
& ( ! [X56] :
( ~ r1(X20,X56)
| p4(X56)
| ~ p103(X56) )
| ~ p4(X20) ) )
| ~ p103(X20)
| ~ sP13(X20) ),
introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).
fof(f23,definition,
! [X20] :
( ( ( ! [X53] :
( ~ r1(X20,X53)
| ~ p5(X53)
| ~ p104(X53) )
| p5(X20) )
& ( ! [X54] :
( ~ r1(X20,X54)
| p5(X54)
| ~ p104(X54) )
| ~ p5(X20) ) )
| ~ p104(X20)
| ~ sP14(X20) ),
introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).
fof(f24,definition,
! [X20] :
( ( ( ! [X51] :
( ~ r1(X20,X51)
| ~ p6(X51)
| ~ p105(X51) )
| p6(X20) )
& ( ! [X52] :
( ~ r1(X20,X52)
| p6(X52)
| ~ p105(X52) )
| ~ p6(X20) ) )
| ~ p105(X20)
| ~ sP15(X20) ),
introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).
fof(f25,definition,
! [X20] :
( ( ( ! [X49] :
( ~ r1(X20,X49)
| ~ p7(X49)
| ~ p106(X49) )
| p7(X20) )
& ( ! [X50] :
( ~ r1(X20,X50)
| p7(X50)
| ~ p106(X50) )
| ~ p7(X20) ) )
| ~ p106(X20)
| ~ sP16(X20) ),
introduced(definition,[new_symbols(definition,[sP16])],[predicate_definition_introduction]) ).
fof(f26,definition,
! [X20] :
( ( ( ! [X47] :
( ~ r1(X20,X47)
| ~ p8(X47)
| ~ p107(X47) )
| p8(X20) )
& ( ! [X48] :
( ~ r1(X20,X48)
| p8(X48)
| ~ p107(X48) )
| ~ p8(X20) ) )
| ~ p107(X20)
| ~ sP17(X20) ),
introduced(definition,[new_symbols(definition,[sP17])],[predicate_definition_introduction]) ).
fof(f27,definition,
! [X20] :
( ( ( ! [X45] :
( ~ r1(X20,X45)
| ~ p9(X45)
| ~ p108(X45) )
| p9(X20) )
& ( ! [X46] :
( ~ r1(X20,X46)
| p9(X46)
| ~ p108(X46) )
| ~ p9(X20) ) )
| ~ p108(X20)
| ~ sP18(X20) ),
introduced(definition,[new_symbols(definition,[sP18])],[predicate_definition_introduction]) ).
fof(f28,definition,
! [X20] :
( ( ( ! [X43] :
( ~ r1(X20,X43)
| ~ p10(X43)
| ~ p109(X43) )
| p10(X20) )
& ( ! [X44] :
( ~ r1(X20,X44)
| p10(X44)
| ~ p109(X44) )
| ~ p10(X20) ) )
| ~ p109(X20)
| ~ sP19(X20) ),
introduced(definition,[new_symbols(definition,[sP19])],[predicate_definition_introduction]) ).
fof(f29,definition,
! [X20] :
( ( ( ! [X41] :
( ~ r1(X20,X41)
| ~ p11(X41)
| ~ p110(X41) )
| p11(X20) )
& ( ! [X42] :
( ~ r1(X20,X42)
| p11(X42)
| ~ p110(X42) )
| ~ p11(X20) ) )
| ~ p110(X20)
| ~ sP20(X20) ),
introduced(definition,[new_symbols(definition,[sP20])],[predicate_definition_introduction]) ).
fof(f30,definition,
! [X20] :
( ( sP9(X20)
& sP8(X20)
& sP7(X20)
& sP6(X20)
& sP5(X20)
& sP4(X20)
& sP3(X20)
& sP2(X20)
& sP1(X20)
& sP0(X20)
& sP20(X20)
& sP19(X20)
& sP18(X20)
& sP17(X20)
& sP16(X20)
& sP15(X20)
& sP14(X20)
& sP13(X20)
& sP12(X20)
& sP11(X20)
& sP10(X20)
& ( p109(X20)
| ~ p110(X20) )
& ( p108(X20)
| ~ p109(X20) )
& ( p107(X20)
| ~ p108(X20) )
& ( p106(X20)
| ~ p107(X20) )
& ( p105(X20)
| ~ p106(X20) )
& ( p104(X20)
| ~ p105(X20) )
& ( p103(X20)
| ~ p104(X20) )
& ( p102(X20)
| ~ p103(X20) )
& ( p101(X20)
| ~ p102(X20) )
& ( p100(X20)
| ~ p101(X20) ) )
| ~ sP21(X20) ),
introduced(definition,[new_symbols(definition,[sP21])],[predicate_definition_introduction]) ).
fof(f31,plain,
? [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| ! [X6] :
( ~ r1(X5,X6)
| ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| p5(X10) ) ) ) ) ) ) ) ) ) )
& ! [X11] :
( ~ r1(X0,X11)
| ! [X12] :
( ~ r1(X11,X12)
| ! [X13] :
( ~ r1(X12,X13)
| ! [X14] :
( ~ r1(X13,X14)
| ! [X15] :
( ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| ! [X17] :
( ~ r1(X16,X17)
| ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| ! [X20] :
( ~ r1(X19,X20)
| sP21(X20) ) ) ) ) ) ) ) ) ) )
& ~ p101(X0)
& p100(X0) ),
inference(definition_folding,[],[f8,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9]) ).
fof(f32,plain,
! [X20] :
( ( sP9(X20)
& sP8(X20)
& sP7(X20)
& sP6(X20)
& sP5(X20)
& sP4(X20)
& sP3(X20)
& sP2(X20)
& sP1(X20)
& sP0(X20)
& sP20(X20)
& sP19(X20)
& sP18(X20)
& sP17(X20)
& sP16(X20)
& sP15(X20)
& sP14(X20)
& sP13(X20)
& sP12(X20)
& sP11(X20)
& sP10(X20)
& ( p109(X20)
| ~ p110(X20) )
& ( p108(X20)
| ~ p109(X20) )
& ( p107(X20)
| ~ p108(X20) )
& ( p106(X20)
| ~ p107(X20) )
& ( p105(X20)
| ~ p106(X20) )
& ( p104(X20)
| ~ p105(X20) )
& ( p103(X20)
| ~ p104(X20) )
& ( p102(X20)
| ~ p103(X20) )
& ( p101(X20)
| ~ p102(X20) )
& ( p100(X20)
| ~ p101(X20) ) )
| ~ sP21(X20) ),
inference(nnf_transformation,[],[f30]) ).
fof(f33,plain,
! [X0] :
( ( sP9(X0)
& sP8(X0)
& sP7(X0)
& sP6(X0)
& sP5(X0)
& sP4(X0)
& sP3(X0)
& sP2(X0)
& sP1(X0)
& sP0(X0)
& sP20(X0)
& sP19(X0)
& sP18(X0)
& sP17(X0)
& sP16(X0)
& sP15(X0)
& sP14(X0)
& sP13(X0)
& sP12(X0)
& sP11(X0)
& sP10(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) ) )
| ~ sP21(X0) ),
inference(rectify,[],[f32]) ).
fof(f74,plain,
! [X20] :
( ( ? [X33] :
( r1(X20,X33)
& ~ p5(X33)
& ~ p105(X33)
& p104(X33) )
& ? [X34] :
( r1(X20,X34)
& p5(X34)
& ~ p105(X34)
& p104(X34) ) )
| p104(X20)
| ~ p103(X20)
| ~ sP3(X20) ),
inference(nnf_transformation,[],[f12]) ).
fof(f75,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,[],[f74]) ).
fof(f76,plain,
! [X0] :
( ( r1(X0,sK34(X0))
& ~ p5(sK34(X0))
& ~ p105(sK34(X0))
& p104(sK34(X0))
& r1(X0,sK35(X0))
& p5(sK35(X0))
& ~ p105(sK35(X0))
& p104(sK35(X0)) )
| p104(X0)
| ~ p103(X0)
| ~ sP3(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK34,sK35]),skolemize(X1,sK34(X0)),skolemize(X2,sK35(X0))],[f75]) ).
fof(f77,plain,
! [X20] :
( ( ? [X35] :
( r1(X20,X35)
& ~ p4(X35)
& ~ p104(X35)
& p103(X35) )
& ? [X36] :
( r1(X20,X36)
& p4(X36)
& ~ p104(X36)
& p103(X36) ) )
| p103(X20)
| ~ p102(X20)
| ~ sP2(X20) ),
inference(nnf_transformation,[],[f11]) ).
fof(f78,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,[],[f77]) ).
fof(f79,plain,
! [X0] :
( ( r1(X0,sK36(X0))
& ~ p4(sK36(X0))
& ~ p104(sK36(X0))
& p103(sK36(X0))
& r1(X0,sK37(X0))
& p4(sK37(X0))
& ~ p104(sK37(X0))
& p103(sK37(X0)) )
| p103(X0)
| ~ p102(X0)
| ~ sP2(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK36,sK37]),skolemize(X1,sK36(X0)),skolemize(X2,sK37(X0))],[f78]) ).
fof(f80,plain,
! [X20] :
( ( ? [X37] :
( r1(X20,X37)
& ~ p3(X37)
& ~ p103(X37)
& p102(X37) )
& ? [X38] :
( r1(X20,X38)
& p3(X38)
& ~ p103(X38)
& p102(X38) ) )
| p102(X20)
| ~ p101(X20)
| ~ sP1(X20) ),
inference(nnf_transformation,[],[f10]) ).
fof(f81,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,[],[f80]) ).
fof(f82,plain,
! [X0] :
( ( r1(X0,sK38(X0))
& ~ p3(sK38(X0))
& ~ p103(sK38(X0))
& p102(sK38(X0))
& r1(X0,sK39(X0))
& p3(sK39(X0))
& ~ p103(sK39(X0))
& p102(sK39(X0)) )
| p102(X0)
| ~ p101(X0)
| ~ sP1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK38,sK39]),skolemize(X1,sK38(X0)),skolemize(X2,sK39(X0))],[f81]) ).
fof(f83,plain,
! [X20] :
( ( ? [X39] :
( r1(X20,X39)
& ~ p2(X39)
& ~ p102(X39)
& p101(X39) )
& ? [X40] :
( r1(X20,X40)
& p2(X40)
& ~ p102(X40)
& p101(X40) ) )
| p101(X20)
| ~ p100(X20)
| ~ sP0(X20) ),
inference(nnf_transformation,[],[f9]) ).
fof(f84,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,[],[f83]) ).
fof(f85,plain,
! [X0] :
( ( r1(X0,sK40(X0))
& ~ p2(sK40(X0))
& ~ p102(sK40(X0))
& p101(sK40(X0))
& r1(X0,sK41(X0))
& p2(sK41(X0))
& ~ p102(sK41(X0))
& p101(sK41(X0)) )
| p101(X0)
| ~ p100(X0)
| ~ sP0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK40,sK41]),skolemize(X1,sK40(X0)),skolemize(X2,sK41(X0))],[f84]) ).
fof(f86,plain,
( ! [X1] :
( ~ r1(sK42,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| ! [X6] :
( ~ r1(X5,X6)
| ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| p5(X10) ) ) ) ) ) ) ) ) ) )
& ! [X11] :
( ~ r1(sK42,X11)
| ! [X12] :
( ~ r1(X11,X12)
| ! [X13] :
( ~ r1(X12,X13)
| ! [X14] :
( ~ r1(X13,X14)
| ! [X15] :
( ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| ! [X17] :
( ~ r1(X16,X17)
| ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| ! [X20] :
( ~ r1(X19,X20)
| sP21(X20) ) ) ) ) ) ) ) ) ) )
& ~ p101(sK42)
& p100(sK42) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK42]),skolemize(X0,sK42)],[f31]) ).
fof(f108,plain,
! [X0] :
( ~ sP21(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f109,plain,
! [X0] :
( ~ sP21(X0)
| sP1(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f110,plain,
! [X0] :
( ~ sP21(X0)
| sP2(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f111,plain,
! [X0] :
( ~ sP21(X0)
| sP3(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f192,plain,
! [X0] :
( ~ p5(sK34(X0))
| p104(X0)
| ~ p103(X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f193,plain,
! [X0] :
( r1(X0,sK34(X0))
| p104(X0)
| ~ p103(X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f194,plain,
! [X0] :
( p103(sK37(X0))
| p103(X0)
| ~ p102(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f195,plain,
! [X0] :
( ~ p104(sK37(X0))
| p103(X0)
| ~ p102(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f197,plain,
! [X0] :
( r1(X0,sK37(X0))
| p103(X0)
| ~ p102(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f202,plain,
! [X0] :
( p102(sK39(X0))
| p102(X0)
| ~ p101(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f203,plain,
! [X0] :
( ~ p103(sK39(X0))
| p102(X0)
| ~ p101(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f205,plain,
! [X0] :
( r1(X0,sK39(X0))
| p102(X0)
| ~ p101(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f210,plain,
! [X0] :
( p101(sK41(X0))
| p101(X0)
| ~ p100(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f211,plain,
! [X0] :
( ~ p102(sK41(X0))
| p101(X0)
| ~ p100(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f213,plain,
! [X0] :
( r1(X0,sK41(X0))
| p101(X0)
| ~ p100(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f218,plain,
p100(sK42),
inference(cnf_transformation,[],[f86]) ).
fof(f219,plain,
~ p101(sK42),
inference(cnf_transformation,[],[f86]) ).
fof(f220,plain,
! [X11,X18,X19,X16,X14,X17,X15,X12,X13,X20] :
( ~ r1(sK42,X11)
| ~ r1(X11,X12)
| ~ r1(X12,X13)
| ~ r1(X13,X14)
| ~ r1(X14,X15)
| ~ r1(X15,X16)
| ~ r1(X16,X17)
| ~ r1(X17,X18)
| ~ r1(X18,X19)
| ~ r1(X19,X20)
| sP21(X20) ),
inference(cnf_transformation,[],[f86]) ).
fof(f221,plain,
! [X2,X3,X10,X1,X8,X6,X9,X7,X4,X5] :
( ~ r1(sK42,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X8)
| ~ r1(X8,X9)
| ~ r1(X9,X10)
| p5(X10) ),
inference(cnf_transformation,[],[f86]) ).
fof(f222,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f223,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ r1(sK42,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X8)
| sP21(X8) ),
inference(resolution,[],[f220,f222]) ).
fof(f224,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ r1(sK42,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| sP21(X7) ),
inference(resolution,[],[f223,f222]) ).
fof(f225,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ r1(sK42,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X8)
| p5(X8) ),
inference(resolution,[],[f221,f222]) ).
fof(f226,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ r1(sK42,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| sP21(X6) ),
inference(resolution,[],[f224,f222]) ).
fof(f227,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r1(sK42,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| sP21(X5) ),
inference(resolution,[],[f226,f222]) ).
fof(f228,plain,
! [X2,X3,X0,X1,X4] :
( ~ r1(sK42,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| sP21(X4) ),
inference(resolution,[],[f227,f222]) ).
fof(f229,plain,
! [X2,X3,X0,X1] :
( ~ r1(sK42,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| sP21(X3) ),
inference(resolution,[],[f228,f222]) ).
fof(f230,plain,
! [X2,X0,X1] :
( ~ r1(sK42,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| sP21(X2) ),
inference(resolution,[],[f229,f222]) ).
fof(f231,plain,
! [X0,X1] :
( ~ r1(sK42,X0)
| ~ r1(X0,X1)
| sP21(X1) ),
inference(resolution,[],[f230,f222]) ).
fof(f232,plain,
! [X0] :
( ~ r1(sK42,X0)
| sP21(X0) ),
inference(resolution,[],[f231,f222]) ).
fof(f233,plain,
sP21(sK42),
inference(resolution,[],[f232,f222]) ).
fof(f245,plain,
sP0(sK42),
inference(resolution,[],[f108,f233]) ).
fof(f274,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ r1(sK42,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| p5(X7) ),
inference(resolution,[],[f225,f222]) ).
fof(f275,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ r1(sK42,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| p5(X6) ),
inference(resolution,[],[f274,f222]) ).
fof(f276,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r1(sK42,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| p5(X5) ),
inference(resolution,[],[f275,f222]) ).
fof(f277,plain,
! [X2,X3,X0,X1,X4] :
( ~ r1(sK42,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| p5(X4) ),
inference(resolution,[],[f276,f222]) ).
fof(f278,plain,
! [X2,X3,X0,X1] :
( ~ r1(sK42,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| p5(X3) ),
inference(resolution,[],[f277,f222]) ).
fof(f653,plain,
! [X0,X1] :
( p101(sK42)
| ~ p100(sK42)
| ~ sP0(sK42)
| ~ r1(sK41(sK42),X0)
| ~ r1(X0,X1)
| sP21(X1) ),
inference(resolution,[],[f213,f230]) ).
fof(f654,plain,
! [X0] :
( p101(sK42)
| ~ p100(sK42)
| ~ sP0(sK42)
| ~ r1(sK41(sK42),X0)
| sP21(X0) ),
inference(resolution,[],[f213,f231]) ).
fof(f655,plain,
( p101(sK42)
| ~ p100(sK42)
| ~ sP0(sK42)
| sP21(sK41(sK42)) ),
inference(resolution,[],[f213,f232]) ).
fof(f660,plain,
! [X2,X0,X1] :
( p101(sK42)
| ~ p100(sK42)
| ~ sP0(sK42)
| ~ r1(sK41(sK42),X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| p5(X2) ),
inference(resolution,[],[f213,f278]) ).
fof(f667,plain,
! [X2,X0,X1] :
( ~ p100(sK42)
| ~ sP0(sK42)
| ~ r1(sK41(sK42),X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| p5(X2) ),
inference(forward_subsumption_resolution,[],[f660,f219]) ).
fof(f672,plain,
( ~ p100(sK42)
| ~ sP0(sK42)
| sP21(sK41(sK42)) ),
inference(forward_subsumption_resolution,[],[f655,f219]) ).
fof(f673,plain,
! [X0] :
( ~ p100(sK42)
| ~ sP0(sK42)
| ~ r1(sK41(sK42),X0)
| sP21(X0) ),
inference(forward_subsumption_resolution,[],[f654,f219]) ).
fof(f674,plain,
! [X0,X1] :
( ~ p100(sK42)
| ~ sP0(sK42)
| ~ r1(sK41(sK42),X0)
| ~ r1(X0,X1)
| sP21(X1) ),
inference(forward_subsumption_resolution,[],[f653,f219]) ).
fof(f687,plain,
! [X2,X0,X1] :
( ~ sP0(sK42)
| ~ r1(sK41(sK42),X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| p5(X2) ),
inference(forward_subsumption_resolution,[],[f667,f218]) ).
fof(f692,plain,
( ~ sP0(sK42)
| sP21(sK41(sK42)) ),
inference(forward_subsumption_resolution,[],[f672,f218]) ).
fof(f693,plain,
! [X0] :
( ~ sP0(sK42)
| ~ r1(sK41(sK42),X0)
| sP21(X0) ),
inference(forward_subsumption_resolution,[],[f673,f218]) ).
fof(f694,plain,
! [X0,X1] :
( ~ sP0(sK42)
| ~ r1(sK41(sK42),X0)
| ~ r1(X0,X1)
| sP21(X1) ),
inference(forward_subsumption_resolution,[],[f674,f218]) ).
fof(f707,plain,
! [X2,X0,X1] :
( ~ r1(sK41(sK42),X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| p5(X2) ),
inference(forward_subsumption_resolution,[],[f687,f245]) ).
fof(f712,plain,
sP21(sK41(sK42)),
inference(forward_subsumption_resolution,[],[f692,f245]) ).
fof(f713,plain,
! [X0] :
( ~ r1(sK41(sK42),X0)
| sP21(X0) ),
inference(forward_subsumption_resolution,[],[f693,f245]) ).
fof(f714,plain,
! [X0,X1] :
( ~ r1(sK41(sK42),X0)
| ~ r1(X0,X1)
| sP21(X1) ),
inference(forward_subsumption_resolution,[],[f694,f245]) ).
fof(f848,plain,
sP1(sK41(sK42)),
inference(resolution,[],[f712,f109]) ).
fof(f897,definition,
( spl43_9
<=> p102(sK41(sK42)) ),
introduced(definition,[new_symbols(definition,[spl43_9])],[avatar_definition]) ).
fof(f898,plain,
( ~ p102(sK41(sK42))
| spl43_9 ),
inference(avatar_component_clause,[],[f897]) ).
fof(f899,plain,
( p102(sK41(sK42))
| ~ spl43_9 ),
inference(avatar_component_clause,[],[f897]) ).
fof(f902,definition,
( spl43_10
<=> p101(sK41(sK42)) ),
introduced(definition,[new_symbols(definition,[spl43_10])],[avatar_definition]) ).
fof(f903,plain,
( ~ p101(sK41(sK42))
| spl43_10 ),
inference(avatar_component_clause,[],[f902]) ).
fof(f904,plain,
( p101(sK41(sK42))
| ~ spl43_10 ),
inference(avatar_component_clause,[],[f902]) ).
fof(f1606,plain,
( p101(sK42)
| ~ p100(sK42)
| ~ sP0(sK42)
| spl43_10 ),
inference(resolution,[],[f903,f210]) ).
fof(f1607,plain,
( ~ p100(sK42)
| ~ sP0(sK42)
| spl43_10 ),
inference(forward_subsumption_resolution,[],[f1606,f219]) ).
fof(f1608,plain,
( ~ sP0(sK42)
| spl43_10 ),
inference(forward_subsumption_resolution,[],[f1607,f218]) ).
fof(f1609,plain,
( $false
| spl43_10 ),
inference(forward_subsumption_resolution,[],[f1608,f245]) ).
fof(f1610,plain,
spl43_10,
inference(avatar_contradiction_clause,[],[f1609]) ).
fof(f1701,plain,
( sP21(sK39(sK41(sK42)))
| p102(sK41(sK42))
| ~ p101(sK41(sK42))
| ~ sP1(sK41(sK42)) ),
inference(resolution,[],[f713,f205]) ).
fof(f1776,definition,
( spl43_36
<=> p103(sK39(sK41(sK42))) ),
introduced(definition,[new_symbols(definition,[spl43_36])],[avatar_definition]) ).
fof(f1777,plain,
( ~ p103(sK39(sK41(sK42)))
| spl43_36 ),
inference(avatar_component_clause,[],[f1776]) ).
fof(f1778,plain,
( p103(sK39(sK41(sK42)))
| ~ spl43_36 ),
inference(avatar_component_clause,[],[f1776]) ).
fof(f1781,definition,
( spl43_37
<=> p102(sK39(sK41(sK42))) ),
introduced(definition,[new_symbols(definition,[spl43_37])],[avatar_definition]) ).
fof(f1782,plain,
( ~ p102(sK39(sK41(sK42)))
| spl43_37 ),
inference(avatar_component_clause,[],[f1781]) ).
fof(f1783,plain,
( p102(sK39(sK41(sK42)))
| ~ spl43_37 ),
inference(avatar_component_clause,[],[f1781]) ).
fof(f1880,plain,
( p102(sK41(sK42))
| ~ p101(sK41(sK42))
| ~ sP1(sK41(sK42))
| spl43_37 ),
inference(resolution,[],[f1782,f202]) ).
fof(f1881,plain,
( ~ p101(sK41(sK42))
| ~ sP1(sK41(sK42))
| spl43_9
| spl43_37 ),
inference(forward_subsumption_resolution,[],[f1880,f898]) ).
fof(f1882,plain,
( ~ sP1(sK41(sK42))
| spl43_9
| ~ spl43_10
| spl43_37 ),
inference(forward_subsumption_resolution,[],[f1881,f904]) ).
fof(f1883,plain,
( $false
| spl43_9
| ~ spl43_10
| spl43_37 ),
inference(forward_subsumption_resolution,[],[f1882,f848]) ).
fof(f1884,plain,
( spl43_9
| ~ spl43_10
| spl43_37 ),
inference(avatar_contradiction_clause,[],[f1883]) ).
fof(f1909,plain,
( p101(sK42)
| ~ p100(sK42)
| ~ sP0(sK42)
| ~ spl43_9 ),
inference(resolution,[],[f899,f211]) ).
fof(f1910,plain,
( ~ p100(sK42)
| ~ sP0(sK42)
| ~ spl43_9 ),
inference(forward_subsumption_resolution,[],[f1909,f219]) ).
fof(f1911,plain,
( ~ sP0(sK42)
| ~ spl43_9 ),
inference(forward_subsumption_resolution,[],[f1910,f218]) ).
fof(f1912,plain,
( $false
| ~ spl43_9 ),
inference(forward_subsumption_resolution,[],[f1911,f245]) ).
fof(f1913,plain,
~ spl43_9,
inference(avatar_contradiction_clause,[],[f1912]) ).
fof(f1920,plain,
( sP21(sK39(sK41(sK42)))
| ~ p101(sK41(sK42))
| ~ sP1(sK41(sK42))
| spl43_9 ),
inference(forward_subsumption_resolution,[],[f1701,f898]) ).
fof(f1928,plain,
( sP21(sK39(sK41(sK42)))
| ~ sP1(sK41(sK42))
| spl43_9
| ~ spl43_10 ),
inference(forward_subsumption_resolution,[],[f1920,f904]) ).
fof(f1936,plain,
( sP21(sK39(sK41(sK42)))
| spl43_9
| ~ spl43_10 ),
inference(forward_subsumption_resolution,[],[f1928,f848]) ).
fof(f1961,plain,
( sP2(sK39(sK41(sK42)))
| spl43_9
| ~ spl43_10 ),
inference(resolution,[],[f1936,f110]) ).
fof(f2498,plain,
! [X0] :
( ~ r1(sK39(sK41(sK42)),X0)
| sP21(X0)
| p102(sK41(sK42))
| ~ p101(sK41(sK42))
| ~ sP1(sK41(sK42)) ),
inference(resolution,[],[f714,f205]) ).
fof(f2501,plain,
( ! [X0] :
( ~ r1(sK39(sK41(sK42)),X0)
| sP21(X0)
| ~ p101(sK41(sK42))
| ~ sP1(sK41(sK42)) )
| spl43_9 ),
inference(forward_subsumption_resolution,[],[f2498,f898]) ).
fof(f2503,plain,
( ! [X0] :
( ~ r1(sK39(sK41(sK42)),X0)
| sP21(X0)
| ~ sP1(sK41(sK42)) )
| spl43_9
| ~ spl43_10 ),
inference(forward_subsumption_resolution,[],[f2501,f904]) ).
fof(f2505,plain,
( ! [X0] :
( ~ r1(sK39(sK41(sK42)),X0)
| sP21(X0) )
| spl43_9
| ~ spl43_10 ),
inference(forward_subsumption_resolution,[],[f2503,f848]) ).
fof(f2523,plain,
( sP21(sK37(sK39(sK41(sK42))))
| p103(sK39(sK41(sK42)))
| ~ p102(sK39(sK41(sK42)))
| ~ sP2(sK39(sK41(sK42)))
| spl43_9
| ~ spl43_10 ),
inference(resolution,[],[f2505,f197]) ).
fof(f2595,definition,
( spl43_83
<=> p104(sK37(sK39(sK41(sK42)))) ),
introduced(definition,[new_symbols(definition,[spl43_83])],[avatar_definition]) ).
fof(f2596,plain,
( ~ p104(sK37(sK39(sK41(sK42))))
| spl43_83 ),
inference(avatar_component_clause,[],[f2595]) ).
fof(f2597,plain,
( p104(sK37(sK39(sK41(sK42))))
| ~ spl43_83 ),
inference(avatar_component_clause,[],[f2595]) ).
fof(f2600,definition,
( spl43_84
<=> p103(sK37(sK39(sK41(sK42)))) ),
introduced(definition,[new_symbols(definition,[spl43_84])],[avatar_definition]) ).
fof(f2601,plain,
( ~ p103(sK37(sK39(sK41(sK42))))
| spl43_84 ),
inference(avatar_component_clause,[],[f2600]) ).
fof(f2602,plain,
( p103(sK37(sK39(sK41(sK42))))
| ~ spl43_84 ),
inference(avatar_component_clause,[],[f2600]) ).
fof(f2704,plain,
( p103(sK39(sK41(sK42)))
| ~ p102(sK39(sK41(sK42)))
| ~ sP2(sK39(sK41(sK42)))
| spl43_84 ),
inference(resolution,[],[f2601,f194]) ).
fof(f2705,plain,
( ~ p102(sK39(sK41(sK42)))
| ~ sP2(sK39(sK41(sK42)))
| spl43_36
| spl43_84 ),
inference(forward_subsumption_resolution,[],[f2704,f1777]) ).
fof(f2706,plain,
( ~ sP2(sK39(sK41(sK42)))
| spl43_36
| ~ spl43_37
| spl43_84 ),
inference(forward_subsumption_resolution,[],[f2705,f1783]) ).
fof(f2707,plain,
( $false
| spl43_9
| ~ spl43_10
| spl43_36
| ~ spl43_37
| spl43_84 ),
inference(forward_subsumption_resolution,[],[f2706,f1961]) ).
fof(f2708,plain,
( spl43_9
| ~ spl43_10
| spl43_36
| ~ spl43_37
| spl43_84 ),
inference(avatar_contradiction_clause,[],[f2707]) ).
fof(f2733,plain,
( p102(sK41(sK42))
| ~ p101(sK41(sK42))
| ~ sP1(sK41(sK42))
| ~ spl43_36 ),
inference(resolution,[],[f1778,f203]) ).
fof(f2734,plain,
( ~ p101(sK41(sK42))
| ~ sP1(sK41(sK42))
| spl43_9
| ~ spl43_36 ),
inference(forward_subsumption_resolution,[],[f2733,f898]) ).
fof(f2735,plain,
( ~ sP1(sK41(sK42))
| spl43_9
| ~ spl43_10
| ~ spl43_36 ),
inference(forward_subsumption_resolution,[],[f2734,f904]) ).
fof(f2736,plain,
( $false
| spl43_9
| ~ spl43_10
| ~ spl43_36 ),
inference(forward_subsumption_resolution,[],[f2735,f848]) ).
fof(f2737,plain,
( spl43_9
| ~ spl43_10
| ~ spl43_36 ),
inference(avatar_contradiction_clause,[],[f2736]) ).
fof(f2740,plain,
( sP21(sK37(sK39(sK41(sK42))))
| ~ p102(sK39(sK41(sK42)))
| ~ sP2(sK39(sK41(sK42)))
| spl43_9
| ~ spl43_10
| spl43_36 ),
inference(forward_subsumption_resolution,[],[f2523,f1777]) ).
fof(f2744,plain,
( sP21(sK37(sK39(sK41(sK42))))
| ~ sP2(sK39(sK41(sK42)))
| spl43_9
| ~ spl43_10
| spl43_36
| ~ spl43_37 ),
inference(forward_subsumption_resolution,[],[f2740,f1783]) ).
fof(f2748,plain,
( sP21(sK37(sK39(sK41(sK42))))
| spl43_9
| ~ spl43_10
| spl43_36
| ~ spl43_37 ),
inference(forward_subsumption_resolution,[],[f2744,f1961]) ).
fof(f2774,plain,
( sP3(sK37(sK39(sK41(sK42))))
| spl43_9
| ~ spl43_10
| spl43_36
| ~ spl43_37 ),
inference(resolution,[],[f2748,f111]) ).
fof(f7495,plain,
( p103(sK39(sK41(sK42)))
| ~ p102(sK39(sK41(sK42)))
| ~ sP2(sK39(sK41(sK42)))
| ~ spl43_83 ),
inference(resolution,[],[f2597,f195]) ).
fof(f7496,plain,
( ~ p102(sK39(sK41(sK42)))
| ~ sP2(sK39(sK41(sK42)))
| spl43_36
| ~ spl43_83 ),
inference(forward_subsumption_resolution,[],[f7495,f1777]) ).
fof(f7497,plain,
( ~ sP2(sK39(sK41(sK42)))
| spl43_36
| ~ spl43_37
| ~ spl43_83 ),
inference(forward_subsumption_resolution,[],[f7496,f1783]) ).
fof(f7498,plain,
( $false
| spl43_9
| ~ spl43_10
| spl43_36
| ~ spl43_37
| ~ spl43_83 ),
inference(forward_subsumption_resolution,[],[f7497,f1961]) ).
fof(f7499,plain,
( spl43_9
| ~ spl43_10
| spl43_36
| ~ spl43_37
| ~ spl43_83 ),
inference(avatar_contradiction_clause,[],[f7498]) ).
fof(f14011,plain,
! [X0,X1] :
( ~ r1(sK39(sK41(sK42)),X0)
| ~ r1(X0,X1)
| p5(X1)
| p102(sK41(sK42))
| ~ p101(sK41(sK42))
| ~ sP1(sK41(sK42)) ),
inference(resolution,[],[f707,f205]) ).
fof(f14014,plain,
( ! [X0,X1] :
( ~ r1(sK39(sK41(sK42)),X0)
| ~ r1(X0,X1)
| p5(X1)
| ~ p101(sK41(sK42))
| ~ sP1(sK41(sK42)) )
| spl43_9 ),
inference(forward_subsumption_resolution,[],[f14011,f898]) ).
fof(f14016,plain,
( ! [X0,X1] :
( ~ r1(sK39(sK41(sK42)),X0)
| ~ r1(X0,X1)
| p5(X1)
| ~ sP1(sK41(sK42)) )
| spl43_9
| ~ spl43_10 ),
inference(forward_subsumption_resolution,[],[f14014,f904]) ).
fof(f14018,plain,
( ! [X0,X1] :
( ~ r1(sK39(sK41(sK42)),X0)
| ~ r1(X0,X1)
| p5(X1) )
| spl43_9
| ~ spl43_10 ),
inference(forward_subsumption_resolution,[],[f14016,f848]) ).
fof(f14063,plain,
( ! [X0] :
( ~ r1(sK37(sK39(sK41(sK42))),X0)
| p5(X0)
| p103(sK39(sK41(sK42)))
| ~ p102(sK39(sK41(sK42)))
| ~ sP2(sK39(sK41(sK42))) )
| spl43_9
| ~ spl43_10 ),
inference(resolution,[],[f14018,f197]) ).
fof(f14068,plain,
( ! [X0] :
( ~ r1(sK37(sK39(sK41(sK42))),X0)
| p5(X0)
| ~ p102(sK39(sK41(sK42)))
| ~ sP2(sK39(sK41(sK42))) )
| spl43_9
| ~ spl43_10
| spl43_36 ),
inference(forward_subsumption_resolution,[],[f14063,f1777]) ).
fof(f14070,plain,
( ! [X0] :
( ~ r1(sK37(sK39(sK41(sK42))),X0)
| p5(X0)
| ~ sP2(sK39(sK41(sK42))) )
| spl43_9
| ~ spl43_10
| spl43_36
| ~ spl43_37 ),
inference(forward_subsumption_resolution,[],[f14068,f1783]) ).
fof(f14072,plain,
( ! [X0] :
( ~ r1(sK37(sK39(sK41(sK42))),X0)
| p5(X0) )
| spl43_9
| ~ spl43_10
| spl43_36
| ~ spl43_37 ),
inference(forward_subsumption_resolution,[],[f14070,f1961]) ).
fof(f14114,plain,
( p5(sK34(sK37(sK39(sK41(sK42)))))
| p104(sK37(sK39(sK41(sK42))))
| ~ p103(sK37(sK39(sK41(sK42))))
| ~ sP3(sK37(sK39(sK41(sK42))))
| spl43_9
| ~ spl43_10
| spl43_36
| ~ spl43_37 ),
inference(resolution,[],[f14072,f193]) ).
fof(f14122,plain,
( p104(sK37(sK39(sK41(sK42))))
| ~ p103(sK37(sK39(sK41(sK42))))
| ~ sP3(sK37(sK39(sK41(sK42))))
| spl43_9
| ~ spl43_10
| spl43_36
| ~ spl43_37 ),
inference(forward_subsumption_resolution,[],[f14114,f192]) ).
fof(f14123,plain,
( ~ p103(sK37(sK39(sK41(sK42))))
| ~ sP3(sK37(sK39(sK41(sK42))))
| spl43_9
| ~ spl43_10
| spl43_36
| ~ spl43_37
| spl43_83 ),
inference(forward_subsumption_resolution,[],[f14122,f2596]) ).
fof(f14124,plain,
( ~ sP3(sK37(sK39(sK41(sK42))))
| spl43_9
| ~ spl43_10
| spl43_36
| ~ spl43_37
| spl43_83
| ~ spl43_84 ),
inference(forward_subsumption_resolution,[],[f14123,f2602]) ).
fof(f14125,plain,
( $false
| spl43_9
| ~ spl43_10
| spl43_36
| ~ spl43_37
| spl43_83
| ~ spl43_84 ),
inference(forward_subsumption_resolution,[],[f14124,f2774]) ).
fof(f14126,plain,
( spl43_9
| ~ spl43_10
| spl43_36
| ~ spl43_37
| spl43_83
| ~ spl43_84 ),
inference(avatar_contradiction_clause,[],[f14125]) ).
cnf(s25,plain,
spl43_10,
inference(sat_conversion,[],[f1610]) ).
cnf(s48,plain,
( spl43_9
| ~ spl43_10
| spl43_37 ),
inference(sat_conversion,[],[f1884]) ).
cnf(s49,plain,
~ spl43_9,
inference(sat_conversion,[],[f1913]) ).
cnf(s97,plain,
( spl43_9
| ~ spl43_10
| spl43_36
| ~ spl43_37
| spl43_84 ),
inference(sat_conversion,[],[f2708]) ).
cnf(s99,plain,
( spl43_9
| ~ spl43_10
| ~ spl43_36 ),
inference(sat_conversion,[],[f2737]) ).
cnf(s381,plain,
( spl43_9
| ~ spl43_10
| spl43_36
| ~ spl43_37
| ~ spl43_83 ),
inference(sat_conversion,[],[f7499]) ).
cnf(s910,plain,
( spl43_9
| ~ spl43_10
| spl43_36
| ~ spl43_37
| spl43_83
| ~ spl43_84 ),
inference(sat_conversion,[],[f14126]) ).
cnf(s933,plain,
( ~ spl43_10
| spl43_37 ),
inference(rat,[],[s48,s49]) ).
cnf(s1056,plain,
~ spl43_36,
inference(rat,[],[s99,s49,s25]) ).
cnf(s1058,plain,
spl43_37,
inference(rat,[],[s933,s25]) ).
cnf(s1089,plain,
~ spl43_83,
inference(rat,[],[s381,s1056,s25,s49,s1058]) ).
cnf(s1091,plain,
spl43_84,
inference(rat,[],[s97,s1056,s25,s49,s1058]) ).
cnf(s1117,plain,
$false,
inference(rat,[],[s910,s1058,s1056,s25,s49,s1091,s1089]) ).
fof(f14127,plain,
$false,
inference(avatar_sat_refutation,[],[s1117]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL656+1.010 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n011.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 16:20:00 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.12/1.93 % (2595044)Detected formulas, will run a generic FOF schedule.
% 6.12/1.93 % (2595052)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3850113626:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.12/1.93 % (2595052)Instruction limit reached!
% 6.12/1.93 % (2595052)------------------------------
% 6.12/1.93 % (2595052)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.12/1.93 % (2595052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.93 % (2595052)CaDiCaL version: 2.1.3
% 6.12/1.93 % (2595052)Termination reason: Instruction limit
% 6.12/1.93 % (2595052)Termination phase: Saturation
% 6.12/1.93 % (2595052)Time elapsed: 0.031 s
% 6.12/1.93 % (2595052)Peak memory usage: 90 MB
% 6.12/1.93 % (2595052)Instructions burned: 112 (million)
% 6.12/1.93 % (2595053)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3227841211:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.12/1.93 % (2595049)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3010608038:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.12/1.93 % (2595050)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=363594622:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.12/1.93 % (2595051)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2870264088:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.12/1.93 % (2595055)dis-21_1_sil=8000:lcm=predicate:random_seed=584201547:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 6.12/1.93 % (2595054)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=213869025:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.12/1.93 % (2595053)Instruction limit reached!
% 6.12/1.93 % (2595053)------------------------------
% 6.12/1.93 % (2595053)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.12/1.93 % (2595053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.93 % (2595053)CaDiCaL version: 2.1.3
% 6.12/1.93 % (2595053)Termination reason: Instruction limit
% 6.12/1.93 % (2595053)Termination phase: Saturation
% 6.12/1.93 % (2595053)Time elapsed: 0.053 s
% 6.12/1.93 % (2595053)Peak memory usage: 88 MB
% 6.12/1.93 % (2595053)Instructions burned: 121 (million)
% 6.12/1.93 % (2595055)Instruction limit reached!
% 6.12/1.93 % (2595055)------------------------------
% 6.12/1.93 % (2595055)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.12/1.93 % (2595055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.93 % (2595055)CaDiCaL version: 2.1.3
% 6.12/1.93 % (2595055)Termination reason: Instruction limit
% 6.12/1.93 % (2595055)Termination phase: Saturation
% 6.12/1.93 % (2595055)Time elapsed: 0.050 s
% 6.12/1.93 % (2595055)Peak memory usage: 88 MB
% 6.12/1.93 % (2595055)Instructions burned: 129 (million)
% 6.12/1.93 % (2595054)Instruction limit reached!
% 6.12/1.93 % (2595054)------------------------------
% 6.12/1.93 % (2595054)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.12/1.93 % (2595054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.93 % (2595054)CaDiCaL version: 2.1.3
% 6.12/1.93 % (2595054)Termination reason: Instruction limit
% 6.12/1.93 % (2595054)Termination phase: Saturation
% 6.12/1.93 % (2595054)Time elapsed: 0.057 s
% 6.12/1.93 % (2595054)Peak memory usage: 88 MB
% 6.12/1.93 % (2595054)Instructions burned: 139 (million)
% 6.12/1.93 % (2595057)lrs+10_1_sil=8000:sp=occurrence:random_seed=3416482557:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.12/1.93 % (2595057)Instruction limit reached!
% 6.12/1.93 % (2595057)------------------------------
% 6.12/1.93 % (2595057)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.12/1.93 % (2595057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.93 % (2595057)CaDiCaL version: 2.1.3
% 6.12/1.93 % (2595057)Termination reason: Instruction limit
% 6.12/1.93 % (2595057)Termination phase: Saturation
% 6.12/1.93 % (2595057)Time elapsed: 0.071 s
% 6.12/1.93 % (2595057)Peak memory usage: 92 MB
% 6.12/1.93 % (2595057)Instructions burned: 285 (million)
% 6.12/1.93 % (2595064)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3604049471:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.12/1.93 % (2595065)lrs+1011_1_sil=32000:sp=occurrence:random_seed=496752713:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.12/1.93 % (2595066)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=323903410:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.12/1.93 % (2595064)Instruction limit reached!
% 6.12/1.93 % (2595064)------------------------------
% 6.12/1.93 % (2595064)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.12/1.93 % (2595064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.93 % (2595064)CaDiCaL version: 2.1.3
% 6.12/1.93 % (2595064)Termination reason: Instruction limit
% 6.12/1.93 % (2595064)Termination phase: Saturation
% 6.12/1.93 % (2595064)Time elapsed: 0.069 s
% 6.12/1.93 % (2595064)Peak memory usage: 88 MB
% 6.12/1.93 % (2595064)Instructions burned: 157 (million)
% 6.12/1.93 % (2595068)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3571497328:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 6.12/1.93 % (2595066)Instruction limit reached!
% 6.12/1.93 % (2595066)------------------------------
% 6.12/1.93 % (2595066)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.12/1.93 % (2595066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.93 % (2595066)CaDiCaL version: 2.1.3
% 6.12/1.93 % (2595066)Termination reason: Instruction limit
% 6.12/1.93 % (2595066)Termination phase: Saturation
% 6.12/1.93 % (2595066)Time elapsed: 0.110 s
% 6.12/1.93 % (2595066)Peak memory usage: 88 MB
% 6.12/1.93 % (2595066)Instructions burned: 249 (million)
% 6.12/1.93 % (2595065)Instruction limit reached!
% 6.12/1.93 % (2595065)------------------------------
% 6.12/1.93 % (2595065)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.12/1.93 % (2595065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.93 % (2595065)CaDiCaL version: 2.1.3
% 6.12/1.93 % (2595065)Termination reason: Instruction limit
% 6.12/1.93 % (2595065)Termination phase: Saturation
% 6.12/1.93 % (2595065)Time elapsed: 0.125 s
% 6.12/1.93 % (2595065)Peak memory usage: 89 MB
% 6.12/1.93 % (2595065)Instructions burned: 328 (million)
% 6.12/1.93 % (2595068)Instruction limit reached!
% 6.12/1.93 % (2595068)------------------------------
% 6.12/1.93 % (2595068)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.12/1.93 % (2595068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.93 % (2595068)CaDiCaL version: 2.1.3
% 6.12/1.93 % (2595068)Termination reason: Instruction limit
% 6.12/1.93 % (2595068)Termination phase: Saturation
% 6.12/1.93 % (2595068)Time elapsed: 0.077 s
% 6.12/1.93 % (2595068)Peak memory usage: 94 MB
% 6.12/1.93 % (2595068)Instructions burned: 298 (million)
% 6.12/1.93 % (2595072)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1909388460:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.12/1.93 % (2595074)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2843895881:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 6.12/1.93 % (2595075)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1239646967:i=127:av=off:fsr=off:sup=off_2995 on theBenchmark for (2995ds/127Mi)
% 6.12/1.93 % (2595076)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=750359145:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 6.12/1.93 % (2595076)Instruction limit reached!
% 6.12/1.93 % (2595076)------------------------------
% 6.12/1.93 % (2595076)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.12/1.93 % (2595076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.93 % (2595076)CaDiCaL version: 2.1.3
% 6.12/1.93 % (2595076)Termination reason: Instruction limit
% 6.12/1.93 % (2595076)Termination phase: Saturation
% 6.12/1.93 % (2595076)Time elapsed: 0.022 s
% 6.12/1.93 % (2595076)Peak memory usage: 89 MB
% 6.12/1.93 % (2595076)Instructions burned: 114 (million)
% 6.12/1.93 % (2595074)Instruction limit reached!
% 6.12/1.93 % (2595074)------------------------------
% 6.12/1.93 % (2595074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.12/1.93 % (2595074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.93 % (2595074)CaDiCaL version: 2.1.3
% 6.12/1.93 % (2595074)Termination reason: Instruction limit
% 6.12/1.93 % (2595074)Termination phase: Saturation
% 6.12/1.93 % (2595074)Time elapsed: 0.063 s
% 6.12/1.93 % (2595074)Peak memory usage: 90 MB
% 6.12/1.93 % (2595074)Instructions burned: 114 (million)
% 6.12/1.93 % (2595075)Instruction limit reached!
% 6.12/1.93 % (2595075)------------------------------
% 6.12/1.93 % (2595075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.12/1.93 % (2595075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.93 % (2595075)CaDiCaL version: 2.1.3
% 6.12/1.93 % (2595075)Termination reason: Instruction limit
% 6.12/1.93 % (2595075)Termination phase: Saturation
% 6.12/1.93 % (2595075)Time elapsed: 0.066 s
% 6.12/1.93 % (2595075)Peak memory usage: 89 MB
% 6.12/1.93 % (2595075)Instructions burned: 127 (million)
% 6.12/1.93 % (2595081)lrs+10_1_sil=8000:sp=occurrence:random_seed=550088697:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 6.12/1.93 % (2595082)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1337288608:i=437:sd=1:aac=none:ss=included_2993 on theBenchmark for (2993ds/437Mi)
% 6.12/1.93 % (2595083)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3117441034:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 6.12/1.93 % (2595081)First to succeed.
% 6.12/1.93 % (2595081)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2595044"
% 6.12/1.93 % (2595082)Also succeeded, but the first one will report.
% 6.12/1.93 % (2595050)Also succeeded, but the first one will report.
% 6.12/1.93 % (2595081)Refutation found. Thanks to Tanya!
% 6.12/1.93 % SZS status Theorem for theBenchmark
% 6.12/1.93 % SZS output start Proof for theBenchmark
% See solution above
% 8.09/2.12 % (2595081)------------------------------
% 8.09/2.12 % (2595081)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.09/2.12 % (2595081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.09/2.12 % (2595081)CaDiCaL version: 2.1.3
% 8.09/2.12 % (2595081)Termination reason: Refutation
% 8.09/2.12 % (2595081)Time elapsed: 0.119 s
% 8.09/2.12 % (2595081)Peak memory usage: 97 MB
% 8.09/2.12 % (2595081)Instructions burned: 480 (million)
% 8.09/2.12 % (2595081)------------------------------
% 8.09/2.12 % (2595081)------------------------------
% 8.09/2.12 % (2595044)Success in time 1.067 s
% 8.09/2.12 % Vampire exiting
%------------------------------------------------------------------------------