%------------------------------------------------------------------------------
% File : Vampire-SAT---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/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n010.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 11:59:28 AM UTC 2026
% Result : Theorem 0.19s 0.57s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 24
% Syntax : Number of formulae : 130 ( 25 unt; 22 def)
% Number of atoms : 2489 ( 0 equ)
% Maximal formula atoms : 244 ( 19 avg)
% Number of connectives : 4213 (1854 ~;1359 |;1000 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 69 ( 11 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 47 ( 46 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 1 con; 0-1 aty)
% Number of variables : 707 ( 623 !; 84 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox/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/sandbox/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(f87,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f109,plain,
! [X0] :
( ~ sP21(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f110,plain,
! [X0] :
( ~ sP21(X0)
| sP1(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f111,plain,
! [X0] :
( ~ sP21(X0)
| sP2(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f112,plain,
! [X0] :
( ~ sP21(X0)
| sP3(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f193,plain,
! [X0] :
( ~ sP3(X0)
| p104(X0)
| ~ p103(X0)
| ~ p5(sK34(X0)) ),
inference(cnf_transformation,[],[f76]) ).
fof(f194,plain,
! [X0] :
( ~ sP3(X0)
| p104(X0)
| ~ p103(X0)
| r1(X0,sK34(X0)) ),
inference(cnf_transformation,[],[f76]) ).
fof(f199,plain,
! [X0] :
( ~ sP2(X0)
| p103(X0)
| ~ p102(X0)
| p103(sK36(X0)) ),
inference(cnf_transformation,[],[f79]) ).
fof(f200,plain,
! [X0] :
( ~ sP2(X0)
| p103(X0)
| ~ p102(X0)
| ~ p104(sK36(X0)) ),
inference(cnf_transformation,[],[f79]) ).
fof(f202,plain,
! [X0] :
( ~ sP2(X0)
| p103(X0)
| ~ p102(X0)
| r1(X0,sK36(X0)) ),
inference(cnf_transformation,[],[f79]) ).
fof(f207,plain,
! [X0] :
( ~ sP1(X0)
| p102(X0)
| ~ p101(X0)
| p102(sK38(X0)) ),
inference(cnf_transformation,[],[f82]) ).
fof(f208,plain,
! [X0] :
( ~ sP1(X0)
| p102(X0)
| ~ p101(X0)
| ~ p103(sK38(X0)) ),
inference(cnf_transformation,[],[f82]) ).
fof(f210,plain,
! [X0] :
( ~ sP1(X0)
| p102(X0)
| ~ p101(X0)
| r1(X0,sK38(X0)) ),
inference(cnf_transformation,[],[f82]) ).
fof(f211,plain,
! [X0] :
( ~ sP0(X0)
| p101(X0)
| ~ p100(X0)
| p101(sK41(X0)) ),
inference(cnf_transformation,[],[f85]) ).
fof(f212,plain,
! [X0] :
( ~ sP0(X0)
| p101(X0)
| ~ p100(X0)
| ~ p102(sK41(X0)) ),
inference(cnf_transformation,[],[f85]) ).
fof(f214,plain,
! [X0] :
( ~ sP0(X0)
| p101(X0)
| ~ p100(X0)
| r1(X0,sK41(X0)) ),
inference(cnf_transformation,[],[f85]) ).
fof(f219,plain,
p100(sK42),
inference(cnf_transformation,[],[f86]) ).
fof(f220,plain,
~ p101(sK42),
inference(cnf_transformation,[],[f86]) ).
fof(f221,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(f222,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(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,[],[f221,f87]) ).
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,f87]) ).
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,[],[f222,f87]) ).
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,f87]) ).
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,f87]) ).
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,f87]) ).
fof(f229,plain,
! [X2,X3,X0,X1] :
( ~ r1(sK42,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| sP21(X3) ),
inference(resolution,[],[f228,f87]) ).
fof(f230,plain,
! [X2,X0,X1] :
( ~ r1(sK42,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| sP21(X2) ),
inference(resolution,[],[f229,f87]) ).
fof(f231,plain,
! [X0,X1] :
( ~ r1(sK42,X0)
| ~ r1(X0,X1)
| sP21(X1) ),
inference(resolution,[],[f230,f87]) ).
fof(f232,plain,
! [X0] :
( ~ r1(sK42,X0)
| sP21(X0) ),
inference(resolution,[],[f231,f87]) ).
fof(f233,plain,
sP21(sK42),
inference(resolution,[],[f232,f87]) ).
fof(f245,plain,
sP0(sK42),
inference(resolution,[],[f109,f233]) ).
fof(f282,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,f87]) ).
fof(f284,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,[],[f282,f87]) ).
fof(f286,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,[],[f284,f87]) ).
fof(f288,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,[],[f286,f87]) ).
fof(f290,plain,
! [X2,X3,X0,X1] :
( ~ r1(sK42,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| p5(X3) ),
inference(resolution,[],[f288,f87]) ).
fof(f335,plain,
( p101(sK42)
| ~ p100(sK42)
| p101(sK41(sK42)) ),
inference(resolution,[],[f211,f245]) ).
fof(f336,plain,
( ~ p100(sK42)
| p101(sK41(sK42)) ),
inference(forward_subsumption_resolution,[],[f335,f220]) ).
fof(f337,plain,
p101(sK41(sK42)),
inference(forward_subsumption_resolution,[],[f336,f219]) ).
fof(f338,plain,
( p101(sK42)
| ~ p100(sK42)
| ~ p102(sK41(sK42)) ),
inference(resolution,[],[f212,f245]) ).
fof(f339,plain,
( ~ p100(sK42)
| ~ p102(sK41(sK42)) ),
inference(forward_subsumption_resolution,[],[f338,f220]) ).
fof(f340,plain,
~ p102(sK41(sK42)),
inference(forward_subsumption_resolution,[],[f339,f219]) ).
fof(f371,plain,
( p101(sK42)
| ~ p100(sK42)
| r1(sK42,sK41(sK42)) ),
inference(resolution,[],[f214,f245]) ).
fof(f372,plain,
( ~ p100(sK42)
| r1(sK42,sK41(sK42)) ),
inference(forward_subsumption_resolution,[],[f371,f220]) ).
fof(f373,plain,
r1(sK42,sK41(sK42)),
inference(forward_subsumption_resolution,[],[f372,f219]) ).
fof(f386,plain,
! [X0,X1] :
( ~ r1(sK41(sK42),X0)
| ~ r1(X0,X1)
| sP21(X1) ),
inference(resolution,[],[f373,f230]) ).
fof(f387,plain,
! [X0] :
( ~ r1(sK41(sK42),X0)
| sP21(X0) ),
inference(resolution,[],[f373,f231]) ).
fof(f388,plain,
sP21(sK41(sK42)),
inference(resolution,[],[f373,f232]) ).
fof(f393,plain,
! [X2,X0,X1] :
( ~ r1(sK41(sK42),X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| p5(X2) ),
inference(resolution,[],[f373,f290]) ).
fof(f420,plain,
sP1(sK41(sK42)),
inference(resolution,[],[f388,f110]) ).
fof(f512,plain,
( p102(sK41(sK42))
| ~ p101(sK41(sK42))
| p102(sK38(sK41(sK42))) ),
inference(resolution,[],[f420,f207]) ).
fof(f513,plain,
( p102(sK41(sK42))
| ~ p101(sK41(sK42))
| ~ p103(sK38(sK41(sK42))) ),
inference(resolution,[],[f420,f208]) ).
fof(f515,plain,
( p102(sK41(sK42))
| ~ p101(sK41(sK42))
| r1(sK41(sK42),sK38(sK41(sK42))) ),
inference(resolution,[],[f420,f210]) ).
fof(f516,plain,
( ~ p101(sK41(sK42))
| r1(sK41(sK42),sK38(sK41(sK42))) ),
inference(forward_subsumption_resolution,[],[f515,f340]) ).
fof(f518,plain,
( ~ p101(sK41(sK42))
| ~ p103(sK38(sK41(sK42))) ),
inference(forward_subsumption_resolution,[],[f513,f340]) ).
fof(f519,plain,
( ~ p101(sK41(sK42))
| p102(sK38(sK41(sK42))) ),
inference(forward_subsumption_resolution,[],[f512,f340]) ).
fof(f524,plain,
r1(sK41(sK42),sK38(sK41(sK42))),
inference(forward_subsumption_resolution,[],[f516,f337]) ).
fof(f526,plain,
~ p103(sK38(sK41(sK42))),
inference(forward_subsumption_resolution,[],[f518,f337]) ).
fof(f527,plain,
p102(sK38(sK41(sK42))),
inference(forward_subsumption_resolution,[],[f519,f337]) ).
fof(f907,plain,
! [X0] :
( ~ r1(sK38(sK41(sK42)),X0)
| sP21(X0) ),
inference(resolution,[],[f524,f386]) ).
fof(f908,plain,
sP21(sK38(sK41(sK42))),
inference(resolution,[],[f524,f387]) ).
fof(f913,plain,
! [X0,X1] :
( ~ r1(sK38(sK41(sK42)),X0)
| ~ r1(X0,X1)
| p5(X1) ),
inference(resolution,[],[f524,f393]) ).
fof(f939,plain,
sP2(sK38(sK41(sK42))),
inference(resolution,[],[f908,f111]) ).
fof(f1375,plain,
( p103(sK38(sK41(sK42)))
| ~ p102(sK38(sK41(sK42)))
| p103(sK36(sK38(sK41(sK42)))) ),
inference(resolution,[],[f939,f199]) ).
fof(f1376,plain,
( p103(sK38(sK41(sK42)))
| ~ p102(sK38(sK41(sK42)))
| ~ p104(sK36(sK38(sK41(sK42)))) ),
inference(resolution,[],[f939,f200]) ).
fof(f1378,plain,
( p103(sK38(sK41(sK42)))
| ~ p102(sK38(sK41(sK42)))
| r1(sK38(sK41(sK42)),sK36(sK38(sK41(sK42)))) ),
inference(resolution,[],[f939,f202]) ).
fof(f1379,plain,
( ~ p102(sK38(sK41(sK42)))
| r1(sK38(sK41(sK42)),sK36(sK38(sK41(sK42)))) ),
inference(forward_subsumption_resolution,[],[f1378,f526]) ).
fof(f1381,plain,
( ~ p102(sK38(sK41(sK42)))
| ~ p104(sK36(sK38(sK41(sK42)))) ),
inference(forward_subsumption_resolution,[],[f1376,f526]) ).
fof(f1382,plain,
( ~ p102(sK38(sK41(sK42)))
| p103(sK36(sK38(sK41(sK42)))) ),
inference(forward_subsumption_resolution,[],[f1375,f526]) ).
fof(f1387,plain,
r1(sK38(sK41(sK42)),sK36(sK38(sK41(sK42)))),
inference(forward_subsumption_resolution,[],[f1379,f527]) ).
fof(f1389,plain,
~ p104(sK36(sK38(sK41(sK42)))),
inference(forward_subsumption_resolution,[],[f1381,f527]) ).
fof(f1390,plain,
p103(sK36(sK38(sK41(sK42)))),
inference(forward_subsumption_resolution,[],[f1382,f527]) ).
fof(f2074,plain,
sP21(sK36(sK38(sK41(sK42)))),
inference(resolution,[],[f1387,f907]) ).
fof(f2079,plain,
! [X0] :
( ~ r1(sK36(sK38(sK41(sK42))),X0)
| p5(X0) ),
inference(resolution,[],[f1387,f913]) ).
fof(f2105,plain,
sP3(sK36(sK38(sK41(sK42)))),
inference(resolution,[],[f2074,f112]) ).
fof(f2959,plain,
( p104(sK36(sK38(sK41(sK42))))
| ~ p103(sK36(sK38(sK41(sK42))))
| ~ p5(sK34(sK36(sK38(sK41(sK42))))) ),
inference(resolution,[],[f2105,f193]) ).
fof(f2960,plain,
( p104(sK36(sK38(sK41(sK42))))
| ~ p103(sK36(sK38(sK41(sK42))))
| r1(sK36(sK38(sK41(sK42))),sK34(sK36(sK38(sK41(sK42))))) ),
inference(resolution,[],[f2105,f194]) ).
fof(f2961,plain,
( ~ p103(sK36(sK38(sK41(sK42))))
| r1(sK36(sK38(sK41(sK42))),sK34(sK36(sK38(sK41(sK42))))) ),
inference(forward_subsumption_resolution,[],[f2960,f1389]) ).
fof(f2962,plain,
( ~ p103(sK36(sK38(sK41(sK42))))
| ~ p5(sK34(sK36(sK38(sK41(sK42))))) ),
inference(forward_subsumption_resolution,[],[f2959,f1389]) ).
fof(f2969,plain,
r1(sK36(sK38(sK41(sK42))),sK34(sK36(sK38(sK41(sK42))))),
inference(forward_subsumption_resolution,[],[f2961,f1390]) ).
fof(f2970,plain,
~ p5(sK34(sK36(sK38(sK41(sK42))))),
inference(forward_subsumption_resolution,[],[f2962,f1390]) ).
fof(f4847,plain,
p5(sK34(sK36(sK38(sK41(sK42))))),
inference(resolution,[],[f2969,f2079]) ).
fof(f4848,plain,
$false,
inference(forward_subsumption_resolution,[],[f4847,f2970]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL656+1.010 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 % Computer : n010.cluster.edu
% 0.12/0.41 % Model : x86_64 x86_64
% 0.12/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.41 % Memory : 8046.5625MB
% 0.12/0.41 % OS : Linux 6.8.0-71-generic
% 0.12/0.41 % CPULimit : 300
% 0.12/0.41 % WCLimit : 300
% 0.12/0.41 % DateTime : Sun Sep 27 16:20:32 UTC 2026
% 0.12/0.41 % CPUTime :
% 0.12/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.45 Running first-order model finding
% 0.12/0.45 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
% 0.19/0.57 % (1140926)Will run a generic schedule for satisfiability detection.
% 0.19/0.57 % (1140935)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2501909956:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.57 % (1140932)% WARNING: option uhcvi not known.
% 0.19/0.57 % (1140931)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2653477560_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.57 % (1140932)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=401676974:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.57 % (1140933)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2741263910:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.57 % (1140934)dis+10_1_sil=32000:sp=arity:random_seed=1390080695:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.57 % (1140936)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2928679782:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.57 % (1140937)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2945942148:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.57 % TRYING [1]
% 0.19/0.57 % TRYING [2]
% 0.19/0.57 % TRYING [3]
% 0.19/0.57 % TRYING [4]
% 0.19/0.57 % TRYING [5]
% 0.19/0.57 % (1140935)Instruction limit reached!
% 0.19/0.57 % (1140935)------------------------------
% 0.19/0.57 % (1140935)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.57 % (1140935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.57 % (1140935)CaDiCaL version: 2.1.3
% 0.19/0.57 % (1140935)Termination reason: Instruction limit
% 0.19/0.57 % (1140935)Termination phase: Saturation
% 0.19/0.57 % (1140935)Time elapsed: 0.025 s
% 0.19/0.57 % (1140935)Peak memory usage: 12 MB
% 0.19/0.57 % (1140935)Instructions burned: 117 (million)
% 0.19/0.57 % TRYING [6]
% 0.19/0.57 % (1140945)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=630782770:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.19/0.57 % TRYING [1]
% 0.19/0.57 % TRYING [2]
% 0.19/0.57 % TRYING [3]
% 0.19/0.57 % TRYING [4]
% 0.19/0.57 % TRYING [5]
% 0.19/0.57 % TRYING [6]
% 0.19/0.57 % (1140934)Instruction limit reached!
% 0.19/0.57 % (1140934)------------------------------
% 0.19/0.57 % (1140934)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.57 % (1140934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.57 % (1140934)CaDiCaL version: 2.1.3
% 0.19/0.57 % (1140934)Termination reason: Instruction limit
% 0.19/0.57 % (1140934)Termination phase: Saturation
% 0.19/0.57 % (1140934)Time elapsed: 0.049 s
% 0.19/0.57 % (1140934)Peak memory usage: 13 MB
% 0.19/0.57 % (1140934)Instructions burned: 103 (million)
% 0.19/0.57 % (1140936) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1140926-1140936"...
% 0.19/0.57 % (1140936)...printing done.
% 0.19/0.57 % (1140937)Instruction limit reached!
% 0.19/0.57 % (1140937)------------------------------
% 0.19/0.57 % (1140937)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.57 % (1140937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.57 % (1140937)CaDiCaL version: 2.1.3
% 0.19/0.57 % (1140937)Termination reason: Instruction limit
% 0.19/0.57 % (1140937)Termination phase: Saturation
% 0.19/0.57 % (1140937)Time elapsed: 0.061 s
% 0.19/0.57 % (1140937)Peak memory usage: 12 MB
% 0.19/0.57 % (1140937)Instructions burned: 161 (million)
% 0.19/0.57 % (1140936)Refutation found. Thanks to Tanya!
% 0.19/0.57 % SZS status Theorem for theBenchmark
% 0.19/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.57 % (1140936)------------------------------
% 0.19/0.57 % (1140936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.57 % (1140936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.57 % (1140936)CaDiCaL version: 2.1.3
% 0.19/0.57 % (1140936)Termination reason: Refutation
% 0.19/0.57 % (1140936)Time elapsed: 0.060 s
% 0.19/0.57 % (1140936)Peak memory usage: 13 MB
% 0.19/0.57 % (1140936)Instructions burned: 116 (million)
% 0.19/0.57 % (1140926)Success in time 0.105 s
% 0.76/0.57 % Vampire exiting
%------------------------------------------------------------------------------