%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : LCL656+1.010 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:38:35 EDT 2024
% Result : Theorem 6.72s 1.62s
% Output : CNFRefutation 6.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 33
% Syntax : Number of formulae : 135 ( 9 unt; 0 def)
% Number of atoms : 2743 ( 0 equ)
% Maximal formula atoms : 244 ( 20 avg)
% Number of connectives : 4653 (2045 ~;1542 |;1057 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 69 ( 12 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 : 835 ( 0 sgn 597 !; 94 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
fof(f2,conjecture,
~ ? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ( ( ~ p101(X0)
| p100(X0) )
& ( ~ p102(X0)
| p101(X0) )
& ( ~ p103(X0)
| p102(X0) )
& ( ~ p104(X0)
| p103(X0) )
& ( ~ p105(X0)
| p104(X0) )
& ( ~ p106(X0)
| p105(X0) )
& ( ~ p107(X0)
| p106(X0) )
& ( ~ p108(X0)
| p107(X0) )
& ( ~ p109(X0)
| p108(X0) )
& ( ~ p110(X0)
| p109(X0) )
& ( ~ p111(X0)
| p110(X0) )
& ( ~ p100(X0)
| ( ( ~ p1(X0)
| ! [X1] :
( ~ p100(X1)
| p1(X1)
| ~ r1(X0,X1) ) )
& ( p1(X0)
| ! [X1] :
( ~ p100(X1)
| ~ p1(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p101(X0)
| ( ( ~ p2(X0)
| ! [X1] :
( ~ p101(X1)
| p2(X1)
| ~ r1(X0,X1) ) )
& ( p2(X0)
| ! [X1] :
( ~ p101(X1)
| ~ p2(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p102(X0)
| ( ( ~ p3(X0)
| ! [X1] :
( ~ p102(X1)
| p3(X1)
| ~ r1(X0,X1) ) )
& ( p3(X0)
| ! [X1] :
( ~ p102(X1)
| ~ p3(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p103(X0)
| ( ( ~ p4(X0)
| ! [X1] :
( ~ p103(X1)
| p4(X1)
| ~ r1(X0,X1) ) )
& ( p4(X0)
| ! [X1] :
( ~ p103(X1)
| ~ p4(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p104(X0)
| ( ( ~ p5(X0)
| ! [X1] :
( ~ p104(X1)
| p5(X1)
| ~ r1(X0,X1) ) )
& ( p5(X0)
| ! [X1] :
( ~ p104(X1)
| ~ p5(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p105(X0)
| ( ( ~ p6(X0)
| ! [X1] :
( ~ p105(X1)
| p6(X1)
| ~ r1(X0,X1) ) )
& ( p6(X0)
| ! [X1] :
( ~ p105(X1)
| ~ p6(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p106(X0)
| ( ( ~ p7(X0)
| ! [X1] :
( ~ p106(X1)
| p7(X1)
| ~ r1(X0,X1) ) )
& ( p7(X0)
| ! [X1] :
( ~ p106(X1)
| ~ p7(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p107(X0)
| ( ( ~ p8(X0)
| ! [X1] :
( ~ p107(X1)
| p8(X1)
| ~ r1(X0,X1) ) )
& ( p8(X0)
| ! [X1] :
( ~ p107(X1)
| ~ p8(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p108(X0)
| ( ( ~ p9(X0)
| ! [X1] :
( ~ p108(X1)
| p9(X1)
| ~ r1(X0,X1) ) )
& ( p9(X0)
| ! [X1] :
( ~ p108(X1)
| ~ p9(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p109(X0)
| ( ( ~ p10(X0)
| ! [X1] :
( ~ p109(X1)
| p10(X1)
| ~ r1(X0,X1) ) )
& ( p10(X0)
| ! [X1] :
( ~ p109(X1)
| ~ p10(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p110(X0)
| ( ( ~ p11(X0)
| ! [X1] :
( ~ p110(X1)
| p11(X1)
| ~ r1(X0,X1) ) )
& ( p11(X0)
| ! [X1] :
( ~ p110(X1)
| ~ p11(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ ( p100(X0)
& ~ p101(X0) )
| ( ~ ! [X1] :
( ~ ( p101(X1)
& ~ p102(X1)
& p2(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p101(X1)
& ~ p102(X1)
& ~ p2(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p101(X0)
& ~ p102(X0) )
| ( ~ ! [X1] :
( ~ ( p102(X1)
& ~ p103(X1)
& p3(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p102(X1)
& ~ p103(X1)
& ~ p3(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p102(X0)
& ~ p103(X0) )
| ( ~ ! [X1] :
( ~ ( p103(X1)
& ~ p104(X1)
& p4(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p103(X1)
& ~ p104(X1)
& ~ p4(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p103(X0)
& ~ p104(X0) )
| ( ~ ! [X1] :
( ~ ( p104(X1)
& ~ p105(X1)
& p5(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p104(X1)
& ~ p105(X1)
& ~ p5(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p104(X0)
& ~ p105(X0) )
| ( ~ ! [X1] :
( ~ ( p105(X1)
& ~ p106(X1)
& p6(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p105(X1)
& ~ p106(X1)
& ~ p6(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p105(X0)
& ~ p106(X0) )
| ( ~ ! [X1] :
( ~ ( p106(X1)
& ~ p107(X1)
& p7(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p106(X1)
& ~ p107(X1)
& ~ p7(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p106(X0)
& ~ p107(X0) )
| ( ~ ! [X1] :
( ~ ( p107(X1)
& ~ p108(X1)
& p8(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p107(X1)
& ~ p108(X1)
& ~ p8(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p107(X0)
& ~ p108(X0) )
| ( ~ ! [X1] :
( ~ ( p108(X1)
& ~ p109(X1)
& p9(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p108(X1)
& ~ p109(X1)
& ~ p9(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p108(X0)
& ~ p109(X0) )
| ( ~ ! [X1] :
( ~ ( p109(X1)
& ~ p110(X1)
& p10(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p109(X1)
& ~ p110(X1)
& ~ p10(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p109(X0)
& ~ p110(X0) )
| ( ~ ! [X1] :
( ~ ( p110(X1)
& ~ p111(X1)
& p11(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p110(X1)
& ~ p111(X1)
& ~ p11(X1) )
| ~ r1(X0,X1) ) ) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( p5(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(f3,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ( ( ~ p101(X0)
| p100(X0) )
& ( ~ p102(X0)
| p101(X0) )
& ( ~ p103(X0)
| p102(X0) )
& ( ~ p104(X0)
| p103(X0) )
& ( ~ p105(X0)
| p104(X0) )
& ( ~ p106(X0)
| p105(X0) )
& ( ~ p107(X0)
| p106(X0) )
& ( ~ p108(X0)
| p107(X0) )
& ( ~ p109(X0)
| p108(X0) )
& ( ~ p110(X0)
| p109(X0) )
& ( ~ p111(X0)
| p110(X0) )
& ( ~ p100(X0)
| ( ( ~ p1(X0)
| ! [X1] :
( ~ p100(X1)
| p1(X1)
| ~ r1(X0,X1) ) )
& ( p1(X0)
| ! [X1] :
( ~ p100(X1)
| ~ p1(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p101(X0)
| ( ( ~ p2(X0)
| ! [X1] :
( ~ p101(X1)
| p2(X1)
| ~ r1(X0,X1) ) )
& ( p2(X0)
| ! [X1] :
( ~ p101(X1)
| ~ p2(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p102(X0)
| ( ( ~ p3(X0)
| ! [X1] :
( ~ p102(X1)
| p3(X1)
| ~ r1(X0,X1) ) )
& ( p3(X0)
| ! [X1] :
( ~ p102(X1)
| ~ p3(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p103(X0)
| ( ( ~ p4(X0)
| ! [X1] :
( ~ p103(X1)
| p4(X1)
| ~ r1(X0,X1) ) )
& ( p4(X0)
| ! [X1] :
( ~ p103(X1)
| ~ p4(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p104(X0)
| ( ( ~ p5(X0)
| ! [X1] :
( ~ p104(X1)
| p5(X1)
| ~ r1(X0,X1) ) )
& ( p5(X0)
| ! [X1] :
( ~ p104(X1)
| ~ p5(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p105(X0)
| ( ( ~ p6(X0)
| ! [X1] :
( ~ p105(X1)
| p6(X1)
| ~ r1(X0,X1) ) )
& ( p6(X0)
| ! [X1] :
( ~ p105(X1)
| ~ p6(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p106(X0)
| ( ( ~ p7(X0)
| ! [X1] :
( ~ p106(X1)
| p7(X1)
| ~ r1(X0,X1) ) )
& ( p7(X0)
| ! [X1] :
( ~ p106(X1)
| ~ p7(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p107(X0)
| ( ( ~ p8(X0)
| ! [X1] :
( ~ p107(X1)
| p8(X1)
| ~ r1(X0,X1) ) )
& ( p8(X0)
| ! [X1] :
( ~ p107(X1)
| ~ p8(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p108(X0)
| ( ( ~ p9(X0)
| ! [X1] :
( ~ p108(X1)
| p9(X1)
| ~ r1(X0,X1) ) )
& ( p9(X0)
| ! [X1] :
( ~ p108(X1)
| ~ p9(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p109(X0)
| ( ( ~ p10(X0)
| ! [X1] :
( ~ p109(X1)
| p10(X1)
| ~ r1(X0,X1) ) )
& ( p10(X0)
| ! [X1] :
( ~ p109(X1)
| ~ p10(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p110(X0)
| ( ( ~ p11(X0)
| ! [X1] :
( ~ p110(X1)
| p11(X1)
| ~ r1(X0,X1) ) )
& ( p11(X0)
| ! [X1] :
( ~ p110(X1)
| ~ p11(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ ( p100(X0)
& ~ p101(X0) )
| ( ~ ! [X1] :
( ~ ( p101(X1)
& ~ p102(X1)
& p2(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p101(X1)
& ~ p102(X1)
& ~ p2(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p101(X0)
& ~ p102(X0) )
| ( ~ ! [X1] :
( ~ ( p102(X1)
& ~ p103(X1)
& p3(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p102(X1)
& ~ p103(X1)
& ~ p3(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p102(X0)
& ~ p103(X0) )
| ( ~ ! [X1] :
( ~ ( p103(X1)
& ~ p104(X1)
& p4(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p103(X1)
& ~ p104(X1)
& ~ p4(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p103(X0)
& ~ p104(X0) )
| ( ~ ! [X1] :
( ~ ( p104(X1)
& ~ p105(X1)
& p5(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p104(X1)
& ~ p105(X1)
& ~ p5(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p104(X0)
& ~ p105(X0) )
| ( ~ ! [X1] :
( ~ ( p105(X1)
& ~ p106(X1)
& p6(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p105(X1)
& ~ p106(X1)
& ~ p6(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p105(X0)
& ~ p106(X0) )
| ( ~ ! [X1] :
( ~ ( p106(X1)
& ~ p107(X1)
& p7(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p106(X1)
& ~ p107(X1)
& ~ p7(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p106(X0)
& ~ p107(X0) )
| ( ~ ! [X1] :
( ~ ( p107(X1)
& ~ p108(X1)
& p8(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p107(X1)
& ~ p108(X1)
& ~ p8(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p107(X0)
& ~ p108(X0) )
| ( ~ ! [X1] :
( ~ ( p108(X1)
& ~ p109(X1)
& p9(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p108(X1)
& ~ p109(X1)
& ~ p9(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p108(X0)
& ~ p109(X0) )
| ( ~ ! [X1] :
( ~ ( p109(X1)
& ~ p110(X1)
& p10(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p109(X1)
& ~ p110(X1)
& ~ p10(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p109(X0)
& ~ p110(X0) )
| ( ~ ! [X1] :
( ~ ( p110(X1)
& ~ p111(X1)
& p11(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p110(X1)
& ~ p111(X1)
& ~ p11(X1) )
| ~ r1(X0,X1) ) ) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( p5(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ),
inference(negated_conjecture,[],[f2]) ).
fof(f4,plain,
~ ~ ? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ( ( ~ p101(X10)
| p100(X10) )
& ( ~ p102(X10)
| p101(X10) )
& ( ~ p103(X10)
| p102(X10) )
& ( ~ p104(X10)
| p103(X10) )
& ( ~ p105(X10)
| p104(X10) )
& ( ~ p106(X10)
| p105(X10) )
& ( ~ p107(X10)
| p106(X10) )
& ( ~ p108(X10)
| p107(X10) )
& ( ~ p109(X10)
| p108(X10) )
& ( ~ p110(X10)
| p109(X10) )
& ( ~ p111(X10)
| p110(X10) )
& ( ~ p100(X10)
| ( ( ~ p1(X10)
| ! [X11] :
( ~ p100(X11)
| p1(X11)
| ~ r1(X10,X11) ) )
& ( p1(X10)
| ! [X12] :
( ~ p100(X12)
| ~ p1(X12)
| ~ r1(X10,X12) ) ) ) )
& ( ~ p101(X10)
| ( ( ~ p2(X10)
| ! [X13] :
( ~ p101(X13)
| p2(X13)
| ~ r1(X10,X13) ) )
& ( p2(X10)
| ! [X14] :
( ~ p101(X14)
| ~ p2(X14)
| ~ r1(X10,X14) ) ) ) )
& ( ~ p102(X10)
| ( ( ~ p3(X10)
| ! [X15] :
( ~ p102(X15)
| p3(X15)
| ~ r1(X10,X15) ) )
& ( p3(X10)
| ! [X16] :
( ~ p102(X16)
| ~ p3(X16)
| ~ r1(X10,X16) ) ) ) )
& ( ~ p103(X10)
| ( ( ~ p4(X10)
| ! [X17] :
( ~ p103(X17)
| p4(X17)
| ~ r1(X10,X17) ) )
& ( p4(X10)
| ! [X18] :
( ~ p103(X18)
| ~ p4(X18)
| ~ r1(X10,X18) ) ) ) )
& ( ~ p104(X10)
| ( ( ~ p5(X10)
| ! [X19] :
( ~ p104(X19)
| p5(X19)
| ~ r1(X10,X19) ) )
& ( p5(X10)
| ! [X20] :
( ~ p104(X20)
| ~ p5(X20)
| ~ r1(X10,X20) ) ) ) )
& ( ~ p105(X10)
| ( ( ~ p6(X10)
| ! [X21] :
( ~ p105(X21)
| p6(X21)
| ~ r1(X10,X21) ) )
& ( p6(X10)
| ! [X22] :
( ~ p105(X22)
| ~ p6(X22)
| ~ r1(X10,X22) ) ) ) )
& ( ~ p106(X10)
| ( ( ~ p7(X10)
| ! [X23] :
( ~ p106(X23)
| p7(X23)
| ~ r1(X10,X23) ) )
& ( p7(X10)
| ! [X24] :
( ~ p106(X24)
| ~ p7(X24)
| ~ r1(X10,X24) ) ) ) )
& ( ~ p107(X10)
| ( ( ~ p8(X10)
| ! [X25] :
( ~ p107(X25)
| p8(X25)
| ~ r1(X10,X25) ) )
& ( p8(X10)
| ! [X26] :
( ~ p107(X26)
| ~ p8(X26)
| ~ r1(X10,X26) ) ) ) )
& ( ~ p108(X10)
| ( ( ~ p9(X10)
| ! [X27] :
( ~ p108(X27)
| p9(X27)
| ~ r1(X10,X27) ) )
& ( p9(X10)
| ! [X28] :
( ~ p108(X28)
| ~ p9(X28)
| ~ r1(X10,X28) ) ) ) )
& ( ~ p109(X10)
| ( ( ~ p10(X10)
| ! [X29] :
( ~ p109(X29)
| p10(X29)
| ~ r1(X10,X29) ) )
& ( p10(X10)
| ! [X30] :
( ~ p109(X30)
| ~ p10(X30)
| ~ r1(X10,X30) ) ) ) )
& ( ~ p110(X10)
| ( ( ~ p11(X10)
| ! [X31] :
( ~ p110(X31)
| p11(X31)
| ~ r1(X10,X31) ) )
& ( p11(X10)
| ! [X32] :
( ~ p110(X32)
| ~ p11(X32)
| ~ r1(X10,X32) ) ) ) )
& ( ~ ( p100(X10)
& ~ p101(X10) )
| ( ~ ! [X33] :
( ~ ( p101(X33)
& ~ p102(X33)
& p2(X33) )
| ~ r1(X10,X33) )
& ~ ! [X34] :
( ~ ( p101(X34)
& ~ p102(X34)
& ~ p2(X34) )
| ~ r1(X10,X34) ) ) )
& ( ~ ( p101(X10)
& ~ p102(X10) )
| ( ~ ! [X35] :
( ~ ( p102(X35)
& ~ p103(X35)
& p3(X35) )
| ~ r1(X10,X35) )
& ~ ! [X36] :
( ~ ( p102(X36)
& ~ p103(X36)
& ~ p3(X36) )
| ~ r1(X10,X36) ) ) )
& ( ~ ( p102(X10)
& ~ p103(X10) )
| ( ~ ! [X37] :
( ~ ( p103(X37)
& ~ p104(X37)
& p4(X37) )
| ~ r1(X10,X37) )
& ~ ! [X38] :
( ~ ( p103(X38)
& ~ p104(X38)
& ~ p4(X38) )
| ~ r1(X10,X38) ) ) )
& ( ~ ( p103(X10)
& ~ p104(X10) )
| ( ~ ! [X39] :
( ~ ( p104(X39)
& ~ p105(X39)
& p5(X39) )
| ~ r1(X10,X39) )
& ~ ! [X40] :
( ~ ( p104(X40)
& ~ p105(X40)
& ~ p5(X40) )
| ~ r1(X10,X40) ) ) )
& ( ~ ( p104(X10)
& ~ p105(X10) )
| ( ~ ! [X41] :
( ~ ( p105(X41)
& ~ p106(X41)
& p6(X41) )
| ~ r1(X10,X41) )
& ~ ! [X42] :
( ~ ( p105(X42)
& ~ p106(X42)
& ~ p6(X42) )
| ~ r1(X10,X42) ) ) )
& ( ~ ( p105(X10)
& ~ p106(X10) )
| ( ~ ! [X43] :
( ~ ( p106(X43)
& ~ p107(X43)
& p7(X43) )
| ~ r1(X10,X43) )
& ~ ! [X44] :
( ~ ( p106(X44)
& ~ p107(X44)
& ~ p7(X44) )
| ~ r1(X10,X44) ) ) )
& ( ~ ( p106(X10)
& ~ p107(X10) )
| ( ~ ! [X45] :
( ~ ( p107(X45)
& ~ p108(X45)
& p8(X45) )
| ~ r1(X10,X45) )
& ~ ! [X46] :
( ~ ( p107(X46)
& ~ p108(X46)
& ~ p8(X46) )
| ~ r1(X10,X46) ) ) )
& ( ~ ( p107(X10)
& ~ p108(X10) )
| ( ~ ! [X47] :
( ~ ( p108(X47)
& ~ p109(X47)
& p9(X47) )
| ~ r1(X10,X47) )
& ~ ! [X48] :
( ~ ( p108(X48)
& ~ p109(X48)
& ~ p9(X48) )
| ~ r1(X10,X48) ) ) )
& ( ~ ( p108(X10)
& ~ p109(X10) )
| ( ~ ! [X49] :
( ~ ( p109(X49)
& ~ p110(X49)
& p10(X49) )
| ~ r1(X10,X49) )
& ~ ! [X50] :
( ~ ( p109(X50)
& ~ p110(X50)
& ~ p10(X50) )
| ~ r1(X10,X50) ) ) )
& ( ~ ( p109(X10)
& ~ p110(X10) )
| ( ~ ! [X51] :
( ~ ( p110(X51)
& ~ p111(X51)
& p11(X51) )
| ~ r1(X10,X51) )
& ~ ! [X52] :
( ~ ( p110(X52)
& ~ p111(X52)
& ~ p11(X52) )
| ~ r1(X10,X52) ) ) ) )
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) )
| ~ ! [X53] :
( ! [X54] :
( ! [X55] :
( ! [X56] :
( ! [X57] :
( ! [X58] :
( ! [X59] :
( ! [X60] :
( ! [X61] :
( ! [X62] :
( p5(X62)
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
| ~ r1(X59,X60) )
| ~ r1(X58,X59) )
| ~ r1(X57,X58) )
| ~ r1(X56,X57) )
| ~ r1(X55,X56) )
| ~ r1(X54,X55) )
| ~ r1(X53,X54) )
| ~ r1(X0,X53) ) ),
inference(rectify,[],[f3]) ).
fof(f5,plain,
? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ( ( ~ p101(X10)
| p100(X10) )
& ( ~ p102(X10)
| p101(X10) )
& ( ~ p103(X10)
| p102(X10) )
& ( ~ p104(X10)
| p103(X10) )
& ( ~ p105(X10)
| p104(X10) )
& ( ~ p106(X10)
| p105(X10) )
& ( ~ p107(X10)
| p106(X10) )
& ( ~ p108(X10)
| p107(X10) )
& ( ~ p109(X10)
| p108(X10) )
& ( ~ p110(X10)
| p109(X10) )
& ( ~ p111(X10)
| p110(X10) )
& ( ~ p100(X10)
| ( ( ~ p1(X10)
| ! [X11] :
( ~ p100(X11)
| p1(X11)
| ~ r1(X10,X11) ) )
& ( p1(X10)
| ! [X12] :
( ~ p100(X12)
| ~ p1(X12)
| ~ r1(X10,X12) ) ) ) )
& ( ~ p101(X10)
| ( ( ~ p2(X10)
| ! [X13] :
( ~ p101(X13)
| p2(X13)
| ~ r1(X10,X13) ) )
& ( p2(X10)
| ! [X14] :
( ~ p101(X14)
| ~ p2(X14)
| ~ r1(X10,X14) ) ) ) )
& ( ~ p102(X10)
| ( ( ~ p3(X10)
| ! [X15] :
( ~ p102(X15)
| p3(X15)
| ~ r1(X10,X15) ) )
& ( p3(X10)
| ! [X16] :
( ~ p102(X16)
| ~ p3(X16)
| ~ r1(X10,X16) ) ) ) )
& ( ~ p103(X10)
| ( ( ~ p4(X10)
| ! [X17] :
( ~ p103(X17)
| p4(X17)
| ~ r1(X10,X17) ) )
& ( p4(X10)
| ! [X18] :
( ~ p103(X18)
| ~ p4(X18)
| ~ r1(X10,X18) ) ) ) )
& ( ~ p104(X10)
| ( ( ~ p5(X10)
| ! [X19] :
( ~ p104(X19)
| p5(X19)
| ~ r1(X10,X19) ) )
& ( p5(X10)
| ! [X20] :
( ~ p104(X20)
| ~ p5(X20)
| ~ r1(X10,X20) ) ) ) )
& ( ~ p105(X10)
| ( ( ~ p6(X10)
| ! [X21] :
( ~ p105(X21)
| p6(X21)
| ~ r1(X10,X21) ) )
& ( p6(X10)
| ! [X22] :
( ~ p105(X22)
| ~ p6(X22)
| ~ r1(X10,X22) ) ) ) )
& ( ~ p106(X10)
| ( ( ~ p7(X10)
| ! [X23] :
( ~ p106(X23)
| p7(X23)
| ~ r1(X10,X23) ) )
& ( p7(X10)
| ! [X24] :
( ~ p106(X24)
| ~ p7(X24)
| ~ r1(X10,X24) ) ) ) )
& ( ~ p107(X10)
| ( ( ~ p8(X10)
| ! [X25] :
( ~ p107(X25)
| p8(X25)
| ~ r1(X10,X25) ) )
& ( p8(X10)
| ! [X26] :
( ~ p107(X26)
| ~ p8(X26)
| ~ r1(X10,X26) ) ) ) )
& ( ~ p108(X10)
| ( ( ~ p9(X10)
| ! [X27] :
( ~ p108(X27)
| p9(X27)
| ~ r1(X10,X27) ) )
& ( p9(X10)
| ! [X28] :
( ~ p108(X28)
| ~ p9(X28)
| ~ r1(X10,X28) ) ) ) )
& ( ~ p109(X10)
| ( ( ~ p10(X10)
| ! [X29] :
( ~ p109(X29)
| p10(X29)
| ~ r1(X10,X29) ) )
& ( p10(X10)
| ! [X30] :
( ~ p109(X30)
| ~ p10(X30)
| ~ r1(X10,X30) ) ) ) )
& ( ~ p110(X10)
| ( ( ~ p11(X10)
| ! [X31] :
( ~ p110(X31)
| p11(X31)
| ~ r1(X10,X31) ) )
& ( p11(X10)
| ! [X32] :
( ~ p110(X32)
| ~ p11(X32)
| ~ r1(X10,X32) ) ) ) )
& ( ~ ( p100(X10)
& ~ p101(X10) )
| ( ~ ! [X33] :
( ~ ( p101(X33)
& ~ p102(X33)
& p2(X33) )
| ~ r1(X10,X33) )
& ~ ! [X34] :
( ~ ( p101(X34)
& ~ p102(X34)
& ~ p2(X34) )
| ~ r1(X10,X34) ) ) )
& ( ~ ( p101(X10)
& ~ p102(X10) )
| ( ~ ! [X35] :
( ~ ( p102(X35)
& ~ p103(X35)
& p3(X35) )
| ~ r1(X10,X35) )
& ~ ! [X36] :
( ~ ( p102(X36)
& ~ p103(X36)
& ~ p3(X36) )
| ~ r1(X10,X36) ) ) )
& ( ~ ( p102(X10)
& ~ p103(X10) )
| ( ~ ! [X37] :
( ~ ( p103(X37)
& ~ p104(X37)
& p4(X37) )
| ~ r1(X10,X37) )
& ~ ! [X38] :
( ~ ( p103(X38)
& ~ p104(X38)
& ~ p4(X38) )
| ~ r1(X10,X38) ) ) )
& ( ~ ( p103(X10)
& ~ p104(X10) )
| ( ~ ! [X39] :
( ~ ( p104(X39)
& ~ p105(X39)
& p5(X39) )
| ~ r1(X10,X39) )
& ~ ! [X40] :
( ~ ( p104(X40)
& ~ p105(X40)
& ~ p5(X40) )
| ~ r1(X10,X40) ) ) )
& ( ~ ( p104(X10)
& ~ p105(X10) )
| ( ~ ! [X41] :
( ~ ( p105(X41)
& ~ p106(X41)
& p6(X41) )
| ~ r1(X10,X41) )
& ~ ! [X42] :
( ~ ( p105(X42)
& ~ p106(X42)
& ~ p6(X42) )
| ~ r1(X10,X42) ) ) )
& ( ~ ( p105(X10)
& ~ p106(X10) )
| ( ~ ! [X43] :
( ~ ( p106(X43)
& ~ p107(X43)
& p7(X43) )
| ~ r1(X10,X43) )
& ~ ! [X44] :
( ~ ( p106(X44)
& ~ p107(X44)
& ~ p7(X44) )
| ~ r1(X10,X44) ) ) )
& ( ~ ( p106(X10)
& ~ p107(X10) )
| ( ~ ! [X45] :
( ~ ( p107(X45)
& ~ p108(X45)
& p8(X45) )
| ~ r1(X10,X45) )
& ~ ! [X46] :
( ~ ( p107(X46)
& ~ p108(X46)
& ~ p8(X46) )
| ~ r1(X10,X46) ) ) )
& ( ~ ( p107(X10)
& ~ p108(X10) )
| ( ~ ! [X47] :
( ~ ( p108(X47)
& ~ p109(X47)
& p9(X47) )
| ~ r1(X10,X47) )
& ~ ! [X48] :
( ~ ( p108(X48)
& ~ p109(X48)
& ~ p9(X48) )
| ~ r1(X10,X48) ) ) )
& ( ~ ( p108(X10)
& ~ p109(X10) )
| ( ~ ! [X49] :
( ~ ( p109(X49)
& ~ p110(X49)
& p10(X49) )
| ~ r1(X10,X49) )
& ~ ! [X50] :
( ~ ( p109(X50)
& ~ p110(X50)
& ~ p10(X50) )
| ~ r1(X10,X50) ) ) )
& ( ~ ( p109(X10)
& ~ p110(X10) )
| ( ~ ! [X51] :
( ~ ( p110(X51)
& ~ p111(X51)
& p11(X51) )
| ~ r1(X10,X51) )
& ~ ! [X52] :
( ~ ( p110(X52)
& ~ p111(X52)
& ~ p11(X52) )
| ~ r1(X10,X52) ) ) ) )
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) )
| ~ ! [X53] :
( ! [X54] :
( ! [X55] :
( ! [X56] :
( ! [X57] :
( ! [X58] :
( ! [X59] :
( ! [X60] :
( ! [X61] :
( ! [X62] :
( p5(X62)
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
| ~ r1(X59,X60) )
| ~ r1(X58,X59) )
| ~ r1(X57,X58) )
| ~ r1(X56,X57) )
| ~ r1(X55,X56) )
| ~ r1(X54,X55) )
| ~ r1(X53,X54) )
| ~ r1(X0,X53) ) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ( ( ~ p101(X10)
| p100(X10) )
& ( ~ p102(X10)
| p101(X10) )
& ( ~ p103(X10)
| p102(X10) )
& ( ~ p104(X10)
| p103(X10) )
& ( ~ p105(X10)
| p104(X10) )
& ( ~ p106(X10)
| p105(X10) )
& ( ~ p107(X10)
| p106(X10) )
& ( ~ p108(X10)
| p107(X10) )
& ( ~ p109(X10)
| p108(X10) )
& ( ~ p110(X10)
| p109(X10) )
& ( ~ p100(X10)
| ( ( ~ p1(X10)
| ! [X11] :
( ~ p100(X11)
| p1(X11)
| ~ r1(X10,X11) ) )
& ( p1(X10)
| ! [X12] :
( ~ p100(X12)
| ~ p1(X12)
| ~ r1(X10,X12) ) ) ) )
& ( ~ p101(X10)
| ( ( ~ p2(X10)
| ! [X13] :
( ~ p101(X13)
| p2(X13)
| ~ r1(X10,X13) ) )
& ( p2(X10)
| ! [X14] :
( ~ p101(X14)
| ~ p2(X14)
| ~ r1(X10,X14) ) ) ) )
& ( ~ p102(X10)
| ( ( ~ p3(X10)
| ! [X15] :
( ~ p102(X15)
| p3(X15)
| ~ r1(X10,X15) ) )
& ( p3(X10)
| ! [X16] :
( ~ p102(X16)
| ~ p3(X16)
| ~ r1(X10,X16) ) ) ) )
& ( ~ p103(X10)
| ( ( ~ p4(X10)
| ! [X17] :
( ~ p103(X17)
| p4(X17)
| ~ r1(X10,X17) ) )
& ( p4(X10)
| ! [X18] :
( ~ p103(X18)
| ~ p4(X18)
| ~ r1(X10,X18) ) ) ) )
& ( ~ p104(X10)
| ( ( ~ p5(X10)
| ! [X19] :
( ~ p104(X19)
| p5(X19)
| ~ r1(X10,X19) ) )
& ( p5(X10)
| ! [X20] :
( ~ p104(X20)
| ~ p5(X20)
| ~ r1(X10,X20) ) ) ) )
& ( ~ p105(X10)
| ( ( ~ p6(X10)
| ! [X21] :
( ~ p105(X21)
| p6(X21)
| ~ r1(X10,X21) ) )
& ( p6(X10)
| ! [X22] :
( ~ p105(X22)
| ~ p6(X22)
| ~ r1(X10,X22) ) ) ) )
& ( ~ p106(X10)
| ( ( ~ p7(X10)
| ! [X23] :
( ~ p106(X23)
| p7(X23)
| ~ r1(X10,X23) ) )
& ( p7(X10)
| ! [X24] :
( ~ p106(X24)
| ~ p7(X24)
| ~ r1(X10,X24) ) ) ) )
& ( ~ p107(X10)
| ( ( ~ p8(X10)
| ! [X25] :
( ~ p107(X25)
| p8(X25)
| ~ r1(X10,X25) ) )
& ( p8(X10)
| ! [X26] :
( ~ p107(X26)
| ~ p8(X26)
| ~ r1(X10,X26) ) ) ) )
& ( ~ p108(X10)
| ( ( ~ p9(X10)
| ! [X27] :
( ~ p108(X27)
| p9(X27)
| ~ r1(X10,X27) ) )
& ( p9(X10)
| ! [X28] :
( ~ p108(X28)
| ~ p9(X28)
| ~ r1(X10,X28) ) ) ) )
& ( ~ p109(X10)
| ( ( ~ p10(X10)
| ! [X29] :
( ~ p109(X29)
| p10(X29)
| ~ r1(X10,X29) ) )
& ( p10(X10)
| ! [X30] :
( ~ p109(X30)
| ~ p10(X30)
| ~ r1(X10,X30) ) ) ) )
& ( ~ p110(X10)
| ( ( ~ p11(X10)
| ! [X31] :
( ~ p110(X31)
| p11(X31)
| ~ r1(X10,X31) ) )
& ( p11(X10)
| ! [X32] :
( ~ p110(X32)
| ~ p11(X32)
| ~ r1(X10,X32) ) ) ) )
& ( ~ ( p100(X10)
& ~ p101(X10) )
| ( ~ ! [X33] :
( ~ ( p101(X33)
& ~ p102(X33)
& p2(X33) )
| ~ r1(X10,X33) )
& ~ ! [X34] :
( ~ ( p101(X34)
& ~ p102(X34)
& ~ p2(X34) )
| ~ r1(X10,X34) ) ) )
& ( ~ ( p101(X10)
& ~ p102(X10) )
| ( ~ ! [X35] :
( ~ ( p102(X35)
& ~ p103(X35)
& p3(X35) )
| ~ r1(X10,X35) )
& ~ ! [X36] :
( ~ ( p102(X36)
& ~ p103(X36)
& ~ p3(X36) )
| ~ r1(X10,X36) ) ) )
& ( ~ ( p102(X10)
& ~ p103(X10) )
| ( ~ ! [X37] :
( ~ ( p103(X37)
& ~ p104(X37)
& p4(X37) )
| ~ r1(X10,X37) )
& ~ ! [X38] :
( ~ ( p103(X38)
& ~ p104(X38)
& ~ p4(X38) )
| ~ r1(X10,X38) ) ) )
& ( ~ ( p103(X10)
& ~ p104(X10) )
| ( ~ ! [X39] :
( ~ ( p104(X39)
& ~ p105(X39)
& p5(X39) )
| ~ r1(X10,X39) )
& ~ ! [X40] :
( ~ ( p104(X40)
& ~ p105(X40)
& ~ p5(X40) )
| ~ r1(X10,X40) ) ) )
& ( ~ ( p104(X10)
& ~ p105(X10) )
| ( ~ ! [X41] :
( ~ ( p105(X41)
& ~ p106(X41)
& p6(X41) )
| ~ r1(X10,X41) )
& ~ ! [X42] :
( ~ ( p105(X42)
& ~ p106(X42)
& ~ p6(X42) )
| ~ r1(X10,X42) ) ) )
& ( ~ ( p105(X10)
& ~ p106(X10) )
| ( ~ ! [X43] :
( ~ ( p106(X43)
& ~ p107(X43)
& p7(X43) )
| ~ r1(X10,X43) )
& ~ ! [X44] :
( ~ ( p106(X44)
& ~ p107(X44)
& ~ p7(X44) )
| ~ r1(X10,X44) ) ) )
& ( ~ ( p106(X10)
& ~ p107(X10) )
| ( ~ ! [X45] :
( ~ ( p107(X45)
& ~ p108(X45)
& p8(X45) )
| ~ r1(X10,X45) )
& ~ ! [X46] :
( ~ ( p107(X46)
& ~ p108(X46)
& ~ p8(X46) )
| ~ r1(X10,X46) ) ) )
& ( ~ ( p107(X10)
& ~ p108(X10) )
| ( ~ ! [X47] :
( ~ ( p108(X47)
& ~ p109(X47)
& p9(X47) )
| ~ r1(X10,X47) )
& ~ ! [X48] :
( ~ ( p108(X48)
& ~ p109(X48)
& ~ p9(X48) )
| ~ r1(X10,X48) ) ) )
& ( ~ ( p108(X10)
& ~ p109(X10) )
| ( ~ ! [X49] :
( ~ ( p109(X49)
& ~ p110(X49)
& p10(X49) )
| ~ r1(X10,X49) )
& ~ ! [X50] :
( ~ ( p109(X50)
& ~ p110(X50)
& ~ p10(X50) )
| ~ r1(X10,X50) ) ) )
& ( ~ ( p109(X10)
& ~ p110(X10) )
| ( ~ ! [X51] :
( ~ ( p110(X51)
& p11(X51) )
| ~ r1(X10,X51) )
& ~ ! [X52] :
( ~ ( p110(X52)
& ~ p11(X52) )
| ~ r1(X10,X52) ) ) ) )
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) )
| ~ ! [X53] :
( ! [X54] :
( ! [X55] :
( ! [X56] :
( ! [X57] :
( ! [X58] :
( ! [X59] :
( ! [X60] :
( ! [X61] :
( ! [X62] :
( p5(X62)
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
| ~ r1(X59,X60) )
| ~ r1(X58,X59) )
| ~ r1(X57,X58) )
| ~ r1(X56,X57) )
| ~ r1(X55,X56) )
| ~ r1(X54,X55) )
| ~ r1(X53,X54) )
| ~ r1(X0,X53) ) ),
inference(pure_predicate_removal,[],[f5]) ).
fof(f7,plain,
? [X0] :
( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ( ( ~ p101(X10)
| p100(X10) )
& ( ~ p102(X10)
| p101(X10) )
& ( ~ p103(X10)
| p102(X10) )
& ( ~ p104(X10)
| p103(X10) )
& ( ~ p105(X10)
| p104(X10) )
& ( ~ p106(X10)
| p105(X10) )
& ( ~ p107(X10)
| p106(X10) )
& ( ~ p108(X10)
| p107(X10) )
& ( ~ p109(X10)
| p108(X10) )
& ( ~ p110(X10)
| p109(X10) )
& ( ~ p100(X10)
| ( ( ~ p1(X10)
| ! [X11] :
( ~ p100(X11)
| p1(X11)
| ~ r1(X10,X11) ) )
& ( p1(X10)
| ! [X12] :
( ~ p100(X12)
| ~ p1(X12)
| ~ r1(X10,X12) ) ) ) )
& ( ~ p101(X10)
| ( ( ~ p2(X10)
| ! [X13] :
( ~ p101(X13)
| p2(X13)
| ~ r1(X10,X13) ) )
& ( p2(X10)
| ! [X14] :
( ~ p101(X14)
| ~ p2(X14)
| ~ r1(X10,X14) ) ) ) )
& ( ~ p102(X10)
| ( ( ~ p3(X10)
| ! [X15] :
( ~ p102(X15)
| p3(X15)
| ~ r1(X10,X15) ) )
& ( p3(X10)
| ! [X16] :
( ~ p102(X16)
| ~ p3(X16)
| ~ r1(X10,X16) ) ) ) )
& ( ~ p103(X10)
| ( ( ~ p4(X10)
| ! [X17] :
( ~ p103(X17)
| p4(X17)
| ~ r1(X10,X17) ) )
& ( p4(X10)
| ! [X18] :
( ~ p103(X18)
| ~ p4(X18)
| ~ r1(X10,X18) ) ) ) )
& ( ~ p104(X10)
| ( ( ~ p5(X10)
| ! [X19] :
( ~ p104(X19)
| p5(X19)
| ~ r1(X10,X19) ) )
& ( p5(X10)
| ! [X20] :
( ~ p104(X20)
| ~ p5(X20)
| ~ r1(X10,X20) ) ) ) )
& ( ~ p105(X10)
| ( ( ~ p6(X10)
| ! [X21] :
( ~ p105(X21)
| p6(X21)
| ~ r1(X10,X21) ) )
& ( p6(X10)
| ! [X22] :
( ~ p105(X22)
| ~ p6(X22)
| ~ r1(X10,X22) ) ) ) )
& ( ~ p106(X10)
| ( ( ~ p7(X10)
| ! [X23] :
( ~ p106(X23)
| p7(X23)
| ~ r1(X10,X23) ) )
& ( p7(X10)
| ! [X24] :
( ~ p106(X24)
| ~ p7(X24)
| ~ r1(X10,X24) ) ) ) )
& ( ~ p107(X10)
| ( ( ~ p8(X10)
| ! [X25] :
( ~ p107(X25)
| p8(X25)
| ~ r1(X10,X25) ) )
& ( p8(X10)
| ! [X26] :
( ~ p107(X26)
| ~ p8(X26)
| ~ r1(X10,X26) ) ) ) )
& ( ~ p108(X10)
| ( ( ~ p9(X10)
| ! [X27] :
( ~ p108(X27)
| p9(X27)
| ~ r1(X10,X27) ) )
& ( p9(X10)
| ! [X28] :
( ~ p108(X28)
| ~ p9(X28)
| ~ r1(X10,X28) ) ) ) )
& ( ~ p109(X10)
| ( ( ~ p10(X10)
| ! [X29] :
( ~ p109(X29)
| p10(X29)
| ~ r1(X10,X29) ) )
& ( p10(X10)
| ! [X30] :
( ~ p109(X30)
| ~ p10(X30)
| ~ r1(X10,X30) ) ) ) )
& ( ~ p110(X10)
| ( ( ~ p11(X10)
| ! [X31] :
( ~ p110(X31)
| p11(X31)
| ~ r1(X10,X31) ) )
& ( p11(X10)
| ! [X32] :
( ~ p110(X32)
| ~ p11(X32)
| ~ r1(X10,X32) ) ) ) )
& ( ~ p100(X10)
| p101(X10)
| ( ? [X33] :
( p101(X33)
& ~ p102(X33)
& p2(X33)
& r1(X10,X33) )
& ? [X34] :
( p101(X34)
& ~ p102(X34)
& ~ p2(X34)
& r1(X10,X34) ) ) )
& ( ~ p101(X10)
| p102(X10)
| ( ? [X35] :
( p102(X35)
& ~ p103(X35)
& p3(X35)
& r1(X10,X35) )
& ? [X36] :
( p102(X36)
& ~ p103(X36)
& ~ p3(X36)
& r1(X10,X36) ) ) )
& ( ~ p102(X10)
| p103(X10)
| ( ? [X37] :
( p103(X37)
& ~ p104(X37)
& p4(X37)
& r1(X10,X37) )
& ? [X38] :
( p103(X38)
& ~ p104(X38)
& ~ p4(X38)
& r1(X10,X38) ) ) )
& ( ~ p103(X10)
| p104(X10)
| ( ? [X39] :
( p104(X39)
& ~ p105(X39)
& p5(X39)
& r1(X10,X39) )
& ? [X40] :
( p104(X40)
& ~ p105(X40)
& ~ p5(X40)
& r1(X10,X40) ) ) )
& ( ~ p104(X10)
| p105(X10)
| ( ? [X41] :
( p105(X41)
& ~ p106(X41)
& p6(X41)
& r1(X10,X41) )
& ? [X42] :
( p105(X42)
& ~ p106(X42)
& ~ p6(X42)
& r1(X10,X42) ) ) )
& ( ~ p105(X10)
| p106(X10)
| ( ? [X43] :
( p106(X43)
& ~ p107(X43)
& p7(X43)
& r1(X10,X43) )
& ? [X44] :
( p106(X44)
& ~ p107(X44)
& ~ p7(X44)
& r1(X10,X44) ) ) )
& ( ~ p106(X10)
| p107(X10)
| ( ? [X45] :
( p107(X45)
& ~ p108(X45)
& p8(X45)
& r1(X10,X45) )
& ? [X46] :
( p107(X46)
& ~ p108(X46)
& ~ p8(X46)
& r1(X10,X46) ) ) )
& ( ~ p107(X10)
| p108(X10)
| ( ? [X47] :
( p108(X47)
& ~ p109(X47)
& p9(X47)
& r1(X10,X47) )
& ? [X48] :
( p108(X48)
& ~ p109(X48)
& ~ p9(X48)
& r1(X10,X48) ) ) )
& ( ~ p108(X10)
| p109(X10)
| ( ? [X49] :
( p109(X49)
& ~ p110(X49)
& p10(X49)
& r1(X10,X49) )
& ? [X50] :
( p109(X50)
& ~ p110(X50)
& ~ p10(X50)
& r1(X10,X50) ) ) )
& ( ~ p109(X10)
| p110(X10)
| ( ? [X51] :
( p110(X51)
& p11(X51)
& r1(X10,X51) )
& ? [X52] :
( p110(X52)
& ~ p11(X52)
& r1(X10,X52) ) ) ) )
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
& ! [X53] :
( ! [X54] :
( ! [X55] :
( ! [X56] :
( ! [X57] :
( ! [X58] :
( ! [X59] :
( ! [X60] :
( ! [X61] :
( ! [X62] :
( p5(X62)
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
| ~ r1(X59,X60) )
| ~ r1(X58,X59) )
| ~ r1(X57,X58) )
| ~ r1(X56,X57) )
| ~ r1(X55,X56) )
| ~ r1(X54,X55) )
| ~ r1(X53,X54) )
| ~ r1(X0,X53) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f8,plain,
? [X0] :
( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ( ( ~ p101(X10)
| p100(X10) )
& ( ~ p102(X10)
| p101(X10) )
& ( ~ p103(X10)
| p102(X10) )
& ( ~ p104(X10)
| p103(X10) )
& ( ~ p105(X10)
| p104(X10) )
& ( ~ p106(X10)
| p105(X10) )
& ( ~ p107(X10)
| p106(X10) )
& ( ~ p108(X10)
| p107(X10) )
& ( ~ p109(X10)
| p108(X10) )
& ( ~ p110(X10)
| p109(X10) )
& ( ~ p100(X10)
| ( ( ~ p1(X10)
| ! [X11] :
( ~ p100(X11)
| p1(X11)
| ~ r1(X10,X11) ) )
& ( p1(X10)
| ! [X12] :
( ~ p100(X12)
| ~ p1(X12)
| ~ r1(X10,X12) ) ) ) )
& ( ~ p101(X10)
| ( ( ~ p2(X10)
| ! [X13] :
( ~ p101(X13)
| p2(X13)
| ~ r1(X10,X13) ) )
& ( p2(X10)
| ! [X14] :
( ~ p101(X14)
| ~ p2(X14)
| ~ r1(X10,X14) ) ) ) )
& ( ~ p102(X10)
| ( ( ~ p3(X10)
| ! [X15] :
( ~ p102(X15)
| p3(X15)
| ~ r1(X10,X15) ) )
& ( p3(X10)
| ! [X16] :
( ~ p102(X16)
| ~ p3(X16)
| ~ r1(X10,X16) ) ) ) )
& ( ~ p103(X10)
| ( ( ~ p4(X10)
| ! [X17] :
( ~ p103(X17)
| p4(X17)
| ~ r1(X10,X17) ) )
& ( p4(X10)
| ! [X18] :
( ~ p103(X18)
| ~ p4(X18)
| ~ r1(X10,X18) ) ) ) )
& ( ~ p104(X10)
| ( ( ~ p5(X10)
| ! [X19] :
( ~ p104(X19)
| p5(X19)
| ~ r1(X10,X19) ) )
& ( p5(X10)
| ! [X20] :
( ~ p104(X20)
| ~ p5(X20)
| ~ r1(X10,X20) ) ) ) )
& ( ~ p105(X10)
| ( ( ~ p6(X10)
| ! [X21] :
( ~ p105(X21)
| p6(X21)
| ~ r1(X10,X21) ) )
& ( p6(X10)
| ! [X22] :
( ~ p105(X22)
| ~ p6(X22)
| ~ r1(X10,X22) ) ) ) )
& ( ~ p106(X10)
| ( ( ~ p7(X10)
| ! [X23] :
( ~ p106(X23)
| p7(X23)
| ~ r1(X10,X23) ) )
& ( p7(X10)
| ! [X24] :
( ~ p106(X24)
| ~ p7(X24)
| ~ r1(X10,X24) ) ) ) )
& ( ~ p107(X10)
| ( ( ~ p8(X10)
| ! [X25] :
( ~ p107(X25)
| p8(X25)
| ~ r1(X10,X25) ) )
& ( p8(X10)
| ! [X26] :
( ~ p107(X26)
| ~ p8(X26)
| ~ r1(X10,X26) ) ) ) )
& ( ~ p108(X10)
| ( ( ~ p9(X10)
| ! [X27] :
( ~ p108(X27)
| p9(X27)
| ~ r1(X10,X27) ) )
& ( p9(X10)
| ! [X28] :
( ~ p108(X28)
| ~ p9(X28)
| ~ r1(X10,X28) ) ) ) )
& ( ~ p109(X10)
| ( ( ~ p10(X10)
| ! [X29] :
( ~ p109(X29)
| p10(X29)
| ~ r1(X10,X29) ) )
& ( p10(X10)
| ! [X30] :
( ~ p109(X30)
| ~ p10(X30)
| ~ r1(X10,X30) ) ) ) )
& ( ~ p110(X10)
| ( ( ~ p11(X10)
| ! [X31] :
( ~ p110(X31)
| p11(X31)
| ~ r1(X10,X31) ) )
& ( p11(X10)
| ! [X32] :
( ~ p110(X32)
| ~ p11(X32)
| ~ r1(X10,X32) ) ) ) )
& ( ~ p100(X10)
| p101(X10)
| ( ? [X33] :
( p101(X33)
& ~ p102(X33)
& p2(X33)
& r1(X10,X33) )
& ? [X34] :
( p101(X34)
& ~ p102(X34)
& ~ p2(X34)
& r1(X10,X34) ) ) )
& ( ~ p101(X10)
| p102(X10)
| ( ? [X35] :
( p102(X35)
& ~ p103(X35)
& p3(X35)
& r1(X10,X35) )
& ? [X36] :
( p102(X36)
& ~ p103(X36)
& ~ p3(X36)
& r1(X10,X36) ) ) )
& ( ~ p102(X10)
| p103(X10)
| ( ? [X37] :
( p103(X37)
& ~ p104(X37)
& p4(X37)
& r1(X10,X37) )
& ? [X38] :
( p103(X38)
& ~ p104(X38)
& ~ p4(X38)
& r1(X10,X38) ) ) )
& ( ~ p103(X10)
| p104(X10)
| ( ? [X39] :
( p104(X39)
& ~ p105(X39)
& p5(X39)
& r1(X10,X39) )
& ? [X40] :
( p104(X40)
& ~ p105(X40)
& ~ p5(X40)
& r1(X10,X40) ) ) )
& ( ~ p104(X10)
| p105(X10)
| ( ? [X41] :
( p105(X41)
& ~ p106(X41)
& p6(X41)
& r1(X10,X41) )
& ? [X42] :
( p105(X42)
& ~ p106(X42)
& ~ p6(X42)
& r1(X10,X42) ) ) )
& ( ~ p105(X10)
| p106(X10)
| ( ? [X43] :
( p106(X43)
& ~ p107(X43)
& p7(X43)
& r1(X10,X43) )
& ? [X44] :
( p106(X44)
& ~ p107(X44)
& ~ p7(X44)
& r1(X10,X44) ) ) )
& ( ~ p106(X10)
| p107(X10)
| ( ? [X45] :
( p107(X45)
& ~ p108(X45)
& p8(X45)
& r1(X10,X45) )
& ? [X46] :
( p107(X46)
& ~ p108(X46)
& ~ p8(X46)
& r1(X10,X46) ) ) )
& ( ~ p107(X10)
| p108(X10)
| ( ? [X47] :
( p108(X47)
& ~ p109(X47)
& p9(X47)
& r1(X10,X47) )
& ? [X48] :
( p108(X48)
& ~ p109(X48)
& ~ p9(X48)
& r1(X10,X48) ) ) )
& ( ~ p108(X10)
| p109(X10)
| ( ? [X49] :
( p109(X49)
& ~ p110(X49)
& p10(X49)
& r1(X10,X49) )
& ? [X50] :
( p109(X50)
& ~ p110(X50)
& ~ p10(X50)
& r1(X10,X50) ) ) )
& ( ~ p109(X10)
| p110(X10)
| ( ? [X51] :
( p110(X51)
& p11(X51)
& r1(X10,X51) )
& ? [X52] :
( p110(X52)
& ~ p11(X52)
& r1(X10,X52) ) ) ) )
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
& ! [X53] :
( ! [X54] :
( ! [X55] :
( ! [X56] :
( ! [X57] :
( ! [X58] :
( ! [X59] :
( ! [X60] :
( ! [X61] :
( ! [X62] :
( p5(X62)
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
| ~ r1(X59,X60) )
| ~ r1(X58,X59) )
| ~ r1(X57,X58) )
| ~ r1(X56,X57) )
| ~ r1(X55,X56) )
| ~ r1(X54,X55) )
| ~ r1(X53,X54) )
| ~ r1(X0,X53) ) ),
inference(flattening,[],[f7]) ).
fof(f9,plain,
! [X10] :
( ~ p108(X10)
| p109(X10)
| ( ? [X49] :
( p109(X49)
& ~ p110(X49)
& p10(X49)
& r1(X10,X49) )
& ? [X50] :
( p109(X50)
& ~ p110(X50)
& ~ p10(X50)
& r1(X10,X50) ) )
| ~ sP0(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f10,plain,
! [X10] :
( ~ p107(X10)
| p108(X10)
| ( ? [X47] :
( p108(X47)
& ~ p109(X47)
& p9(X47)
& r1(X10,X47) )
& ? [X48] :
( p108(X48)
& ~ p109(X48)
& ~ p9(X48)
& r1(X10,X48) ) )
| ~ sP1(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f11,plain,
! [X10] :
( ~ p106(X10)
| p107(X10)
| ( ? [X45] :
( p107(X45)
& ~ p108(X45)
& p8(X45)
& r1(X10,X45) )
& ? [X46] :
( p107(X46)
& ~ p108(X46)
& ~ p8(X46)
& r1(X10,X46) ) )
| ~ sP2(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f12,plain,
! [X10] :
( ~ p105(X10)
| p106(X10)
| ( ? [X43] :
( p106(X43)
& ~ p107(X43)
& p7(X43)
& r1(X10,X43) )
& ? [X44] :
( p106(X44)
& ~ p107(X44)
& ~ p7(X44)
& r1(X10,X44) ) )
| ~ sP3(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f13,plain,
! [X10] :
( ~ p104(X10)
| p105(X10)
| ( ? [X41] :
( p105(X41)
& ~ p106(X41)
& p6(X41)
& r1(X10,X41) )
& ? [X42] :
( p105(X42)
& ~ p106(X42)
& ~ p6(X42)
& r1(X10,X42) ) )
| ~ sP4(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f14,plain,
! [X10] :
( ~ p103(X10)
| p104(X10)
| ( ? [X39] :
( p104(X39)
& ~ p105(X39)
& p5(X39)
& r1(X10,X39) )
& ? [X40] :
( p104(X40)
& ~ p105(X40)
& ~ p5(X40)
& r1(X10,X40) ) )
| ~ sP5(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f15,plain,
! [X10] :
( ~ p102(X10)
| p103(X10)
| ( ? [X37] :
( p103(X37)
& ~ p104(X37)
& p4(X37)
& r1(X10,X37) )
& ? [X38] :
( p103(X38)
& ~ p104(X38)
& ~ p4(X38)
& r1(X10,X38) ) )
| ~ sP6(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f16,plain,
! [X10] :
( ~ p101(X10)
| p102(X10)
| ( ? [X35] :
( p102(X35)
& ~ p103(X35)
& p3(X35)
& r1(X10,X35) )
& ? [X36] :
( p102(X36)
& ~ p103(X36)
& ~ p3(X36)
& r1(X10,X36) ) )
| ~ sP7(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f17,plain,
! [X10] :
( ~ p100(X10)
| p101(X10)
| ( ? [X33] :
( p101(X33)
& ~ p102(X33)
& p2(X33)
& r1(X10,X33) )
& ? [X34] :
( p101(X34)
& ~ p102(X34)
& ~ p2(X34)
& r1(X10,X34) ) )
| ~ sP8(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f18,plain,
! [X10] :
( ~ p109(X10)
| p110(X10)
| ( ? [X51] :
( p110(X51)
& p11(X51)
& r1(X10,X51) )
& ? [X52] :
( p110(X52)
& ~ p11(X52)
& r1(X10,X52) ) )
| ~ sP9(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f19,plain,
! [X10] :
( ~ p110(X10)
| ( ( ~ p11(X10)
| ! [X31] :
( ~ p110(X31)
| p11(X31)
| ~ r1(X10,X31) ) )
& ( p11(X10)
| ! [X32] :
( ~ p110(X32)
| ~ p11(X32)
| ~ r1(X10,X32) ) ) )
| ~ sP10(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f20,plain,
! [X10] :
( ~ p109(X10)
| ( ( ~ p10(X10)
| ! [X29] :
( ~ p109(X29)
| p10(X29)
| ~ r1(X10,X29) ) )
& ( p10(X10)
| ! [X30] :
( ~ p109(X30)
| ~ p10(X30)
| ~ r1(X10,X30) ) ) )
| ~ sP11(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f21,plain,
! [X10] :
( ~ p108(X10)
| ( ( ~ p9(X10)
| ! [X27] :
( ~ p108(X27)
| p9(X27)
| ~ r1(X10,X27) ) )
& ( p9(X10)
| ! [X28] :
( ~ p108(X28)
| ~ p9(X28)
| ~ r1(X10,X28) ) ) )
| ~ sP12(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f22,plain,
! [X10] :
( ~ p107(X10)
| ( ( ~ p8(X10)
| ! [X25] :
( ~ p107(X25)
| p8(X25)
| ~ r1(X10,X25) ) )
& ( p8(X10)
| ! [X26] :
( ~ p107(X26)
| ~ p8(X26)
| ~ r1(X10,X26) ) ) )
| ~ sP13(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f23,plain,
! [X10] :
( ~ p106(X10)
| ( ( ~ p7(X10)
| ! [X23] :
( ~ p106(X23)
| p7(X23)
| ~ r1(X10,X23) ) )
& ( p7(X10)
| ! [X24] :
( ~ p106(X24)
| ~ p7(X24)
| ~ r1(X10,X24) ) ) )
| ~ sP14(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f24,plain,
! [X10] :
( ~ p105(X10)
| ( ( ~ p6(X10)
| ! [X21] :
( ~ p105(X21)
| p6(X21)
| ~ r1(X10,X21) ) )
& ( p6(X10)
| ! [X22] :
( ~ p105(X22)
| ~ p6(X22)
| ~ r1(X10,X22) ) ) )
| ~ sP15(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f25,plain,
! [X10] :
( ~ p104(X10)
| ( ( ~ p5(X10)
| ! [X19] :
( ~ p104(X19)
| p5(X19)
| ~ r1(X10,X19) ) )
& ( p5(X10)
| ! [X20] :
( ~ p104(X20)
| ~ p5(X20)
| ~ r1(X10,X20) ) ) )
| ~ sP16(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f26,plain,
! [X10] :
( ~ p103(X10)
| ( ( ~ p4(X10)
| ! [X17] :
( ~ p103(X17)
| p4(X17)
| ~ r1(X10,X17) ) )
& ( p4(X10)
| ! [X18] :
( ~ p103(X18)
| ~ p4(X18)
| ~ r1(X10,X18) ) ) )
| ~ sP17(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f27,plain,
! [X10] :
( ~ p102(X10)
| ( ( ~ p3(X10)
| ! [X15] :
( ~ p102(X15)
| p3(X15)
| ~ r1(X10,X15) ) )
& ( p3(X10)
| ! [X16] :
( ~ p102(X16)
| ~ p3(X16)
| ~ r1(X10,X16) ) ) )
| ~ sP18(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f28,plain,
! [X10] :
( ~ p101(X10)
| ( ( ~ p2(X10)
| ! [X13] :
( ~ p101(X13)
| p2(X13)
| ~ r1(X10,X13) ) )
& ( p2(X10)
| ! [X14] :
( ~ p101(X14)
| ~ p2(X14)
| ~ r1(X10,X14) ) ) )
| ~ sP19(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f29,plain,
! [X10] :
( ~ p100(X10)
| ( ( ~ p1(X10)
| ! [X11] :
( ~ p100(X11)
| p1(X11)
| ~ r1(X10,X11) ) )
& ( p1(X10)
| ! [X12] :
( ~ p100(X12)
| ~ p1(X12)
| ~ r1(X10,X12) ) ) )
| ~ sP20(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f30,plain,
! [X10] :
( ( ( ~ p101(X10)
| p100(X10) )
& ( ~ p102(X10)
| p101(X10) )
& ( ~ p103(X10)
| p102(X10) )
& ( ~ p104(X10)
| p103(X10) )
& ( ~ p105(X10)
| p104(X10) )
& ( ~ p106(X10)
| p105(X10) )
& ( ~ p107(X10)
| p106(X10) )
& ( ~ p108(X10)
| p107(X10) )
& ( ~ p109(X10)
| p108(X10) )
& ( ~ p110(X10)
| p109(X10) )
& sP20(X10)
& sP19(X10)
& sP18(X10)
& sP17(X10)
& sP16(X10)
& sP15(X10)
& sP14(X10)
& sP13(X10)
& sP12(X10)
& sP11(X10)
& sP10(X10)
& sP8(X10)
& sP7(X10)
& sP6(X10)
& sP5(X10)
& sP4(X10)
& sP3(X10)
& sP2(X10)
& sP1(X10)
& sP0(X10)
& sP9(X10) )
| ~ sP21(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f31,plain,
? [X0] :
( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( sP21(X10)
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
& ! [X53] :
( ! [X54] :
( ! [X55] :
( ! [X56] :
( ! [X57] :
( ! [X58] :
( ! [X59] :
( ! [X60] :
( ! [X61] :
( ! [X62] :
( p5(X62)
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
| ~ r1(X59,X60) )
| ~ r1(X58,X59) )
| ~ r1(X57,X58) )
| ~ r1(X56,X57) )
| ~ r1(X55,X56) )
| ~ r1(X54,X55) )
| ~ r1(X53,X54) )
| ~ r1(X0,X53) ) ),
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,
! [X10] :
( ( ( ~ p101(X10)
| p100(X10) )
& ( ~ p102(X10)
| p101(X10) )
& ( ~ p103(X10)
| p102(X10) )
& ( ~ p104(X10)
| p103(X10) )
& ( ~ p105(X10)
| p104(X10) )
& ( ~ p106(X10)
| p105(X10) )
& ( ~ p107(X10)
| p106(X10) )
& ( ~ p108(X10)
| p107(X10) )
& ( ~ p109(X10)
| p108(X10) )
& ( ~ p110(X10)
| p109(X10) )
& sP20(X10)
& sP19(X10)
& sP18(X10)
& sP17(X10)
& sP16(X10)
& sP15(X10)
& sP14(X10)
& sP13(X10)
& sP12(X10)
& sP11(X10)
& sP10(X10)
& sP8(X10)
& sP7(X10)
& sP6(X10)
& sP5(X10)
& sP4(X10)
& sP3(X10)
& sP2(X10)
& sP1(X10)
& sP0(X10)
& sP9(X10) )
| ~ sP21(X10) ),
inference(nnf_transformation,[],[f30]) ).
fof(f33,plain,
! [X0] :
( ( ( ~ p101(X0)
| p100(X0) )
& ( ~ p102(X0)
| p101(X0) )
& ( ~ p103(X0)
| p102(X0) )
& ( ~ p104(X0)
| p103(X0) )
& ( ~ p105(X0)
| p104(X0) )
& ( ~ p106(X0)
| p105(X0) )
& ( ~ p107(X0)
| p106(X0) )
& ( ~ p108(X0)
| p107(X0) )
& ( ~ p109(X0)
| p108(X0) )
& ( ~ p110(X0)
| p109(X0) )
& sP20(X0)
& sP19(X0)
& sP18(X0)
& sP17(X0)
& sP16(X0)
& sP15(X0)
& sP14(X0)
& sP13(X0)
& sP12(X0)
& sP11(X0)
& sP10(X0)
& sP8(X0)
& sP7(X0)
& sP6(X0)
& sP5(X0)
& sP4(X0)
& sP3(X0)
& sP2(X0)
& sP1(X0)
& sP0(X0)
& sP9(X0) )
| ~ sP21(X0) ),
inference(rectify,[],[f32]) ).
fof(f61,plain,
! [X10] :
( ~ p100(X10)
| p101(X10)
| ( ? [X33] :
( p101(X33)
& ~ p102(X33)
& p2(X33)
& r1(X10,X33) )
& ? [X34] :
( p101(X34)
& ~ p102(X34)
& ~ p2(X34)
& r1(X10,X34) ) )
| ~ sP8(X10) ),
inference(nnf_transformation,[],[f17]) ).
fof(f62,plain,
! [X0] :
( ~ p100(X0)
| p101(X0)
| ( ? [X1] :
( p101(X1)
& ~ p102(X1)
& p2(X1)
& r1(X0,X1) )
& ? [X2] :
( p101(X2)
& ~ p102(X2)
& ~ p2(X2)
& r1(X0,X2) ) )
| ~ sP8(X0) ),
inference(rectify,[],[f61]) ).
fof(f63,plain,
! [X0] :
( ? [X1] :
( p101(X1)
& ~ p102(X1)
& p2(X1)
& r1(X0,X1) )
=> ( p101(sK24(X0))
& ~ p102(sK24(X0))
& p2(sK24(X0))
& r1(X0,sK24(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
! [X0] :
( ? [X2] :
( p101(X2)
& ~ p102(X2)
& ~ p2(X2)
& r1(X0,X2) )
=> ( p101(sK25(X0))
& ~ p102(sK25(X0))
& ~ p2(sK25(X0))
& r1(X0,sK25(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f65,plain,
! [X0] :
( ~ p100(X0)
| p101(X0)
| ( p101(sK24(X0))
& ~ p102(sK24(X0))
& p2(sK24(X0))
& r1(X0,sK24(X0))
& p101(sK25(X0))
& ~ p102(sK25(X0))
& ~ p2(sK25(X0))
& r1(X0,sK25(X0)) )
| ~ sP8(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24,sK25])],[f62,f64,f63]) ).
fof(f66,plain,
! [X10] :
( ~ p101(X10)
| p102(X10)
| ( ? [X35] :
( p102(X35)
& ~ p103(X35)
& p3(X35)
& r1(X10,X35) )
& ? [X36] :
( p102(X36)
& ~ p103(X36)
& ~ p3(X36)
& r1(X10,X36) ) )
| ~ sP7(X10) ),
inference(nnf_transformation,[],[f16]) ).
fof(f67,plain,
! [X0] :
( ~ p101(X0)
| p102(X0)
| ( ? [X1] :
( p102(X1)
& ~ p103(X1)
& p3(X1)
& r1(X0,X1) )
& ? [X2] :
( p102(X2)
& ~ p103(X2)
& ~ p3(X2)
& r1(X0,X2) ) )
| ~ sP7(X0) ),
inference(rectify,[],[f66]) ).
fof(f68,plain,
! [X0] :
( ? [X1] :
( p102(X1)
& ~ p103(X1)
& p3(X1)
& r1(X0,X1) )
=> ( p102(sK26(X0))
& ~ p103(sK26(X0))
& p3(sK26(X0))
& r1(X0,sK26(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
! [X0] :
( ? [X2] :
( p102(X2)
& ~ p103(X2)
& ~ p3(X2)
& r1(X0,X2) )
=> ( p102(sK27(X0))
& ~ p103(sK27(X0))
& ~ p3(sK27(X0))
& r1(X0,sK27(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
! [X0] :
( ~ p101(X0)
| p102(X0)
| ( p102(sK26(X0))
& ~ p103(sK26(X0))
& p3(sK26(X0))
& r1(X0,sK26(X0))
& p102(sK27(X0))
& ~ p103(sK27(X0))
& ~ p3(sK27(X0))
& r1(X0,sK27(X0)) )
| ~ sP7(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26,sK27])],[f67,f69,f68]) ).
fof(f71,plain,
! [X10] :
( ~ p102(X10)
| p103(X10)
| ( ? [X37] :
( p103(X37)
& ~ p104(X37)
& p4(X37)
& r1(X10,X37) )
& ? [X38] :
( p103(X38)
& ~ p104(X38)
& ~ p4(X38)
& r1(X10,X38) ) )
| ~ sP6(X10) ),
inference(nnf_transformation,[],[f15]) ).
fof(f72,plain,
! [X0] :
( ~ p102(X0)
| p103(X0)
| ( ? [X1] :
( p103(X1)
& ~ p104(X1)
& p4(X1)
& r1(X0,X1) )
& ? [X2] :
( p103(X2)
& ~ p104(X2)
& ~ p4(X2)
& r1(X0,X2) ) )
| ~ sP6(X0) ),
inference(rectify,[],[f71]) ).
fof(f73,plain,
! [X0] :
( ? [X1] :
( p103(X1)
& ~ p104(X1)
& p4(X1)
& r1(X0,X1) )
=> ( p103(sK28(X0))
& ~ p104(sK28(X0))
& p4(sK28(X0))
& r1(X0,sK28(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
! [X0] :
( ? [X2] :
( p103(X2)
& ~ p104(X2)
& ~ p4(X2)
& r1(X0,X2) )
=> ( p103(sK29(X0))
& ~ p104(sK29(X0))
& ~ p4(sK29(X0))
& r1(X0,sK29(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
! [X0] :
( ~ p102(X0)
| p103(X0)
| ( p103(sK28(X0))
& ~ p104(sK28(X0))
& p4(sK28(X0))
& r1(X0,sK28(X0))
& p103(sK29(X0))
& ~ p104(sK29(X0))
& ~ p4(sK29(X0))
& r1(X0,sK29(X0)) )
| ~ sP6(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28,sK29])],[f72,f74,f73]) ).
fof(f76,plain,
! [X10] :
( ~ p103(X10)
| p104(X10)
| ( ? [X39] :
( p104(X39)
& ~ p105(X39)
& p5(X39)
& r1(X10,X39) )
& ? [X40] :
( p104(X40)
& ~ p105(X40)
& ~ p5(X40)
& r1(X10,X40) ) )
| ~ sP5(X10) ),
inference(nnf_transformation,[],[f14]) ).
fof(f77,plain,
! [X0] :
( ~ p103(X0)
| p104(X0)
| ( ? [X1] :
( p104(X1)
& ~ p105(X1)
& p5(X1)
& r1(X0,X1) )
& ? [X2] :
( p104(X2)
& ~ p105(X2)
& ~ p5(X2)
& r1(X0,X2) ) )
| ~ sP5(X0) ),
inference(rectify,[],[f76]) ).
fof(f78,plain,
! [X0] :
( ? [X1] :
( p104(X1)
& ~ p105(X1)
& p5(X1)
& r1(X0,X1) )
=> ( p104(sK30(X0))
& ~ p105(sK30(X0))
& p5(sK30(X0))
& r1(X0,sK30(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f79,plain,
! [X0] :
( ? [X2] :
( p104(X2)
& ~ p105(X2)
& ~ p5(X2)
& r1(X0,X2) )
=> ( p104(sK31(X0))
& ~ p105(sK31(X0))
& ~ p5(sK31(X0))
& r1(X0,sK31(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
! [X0] :
( ~ p103(X0)
| p104(X0)
| ( p104(sK30(X0))
& ~ p105(sK30(X0))
& p5(sK30(X0))
& r1(X0,sK30(X0))
& p104(sK31(X0))
& ~ p105(sK31(X0))
& ~ p5(sK31(X0))
& r1(X0,sK31(X0)) )
| ~ sP5(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30,sK31])],[f77,f79,f78]) ).
fof(f106,plain,
? [X0] :
( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( sP21(X10)
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
& ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ! [X20] :
( p5(X20)
| ~ r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| ~ r1(X12,X13) )
| ~ r1(X11,X12) )
| ~ r1(X0,X11) ) ),
inference(rectify,[],[f31]) ).
fof(f107,plain,
( ? [X0] :
( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( sP21(X10)
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
& ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ! [X20] :
( p5(X20)
| ~ r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| ~ r1(X12,X13) )
| ~ r1(X11,X12) )
| ~ r1(X0,X11) ) )
=> ( p100(sK42)
& ~ p101(sK42)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( sP21(X10)
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(sK42,X1) )
& ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ! [X20] :
( p5(X20)
| ~ r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| ~ r1(X12,X13) )
| ~ r1(X11,X12) )
| ~ r1(sK42,X11) ) ) ),
introduced(choice_axiom,[]) ).
fof(f108,plain,
( p100(sK42)
& ~ p101(sK42)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( sP21(X10)
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(sK42,X1) )
& ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ! [X20] :
( p5(X20)
| ~ r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| ~ r1(X12,X13) )
| ~ r1(X11,X12) )
| ~ r1(sK42,X11) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK42])],[f106,f107]) ).
fof(f109,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f116,plain,
! [X0] :
( sP5(X0)
| ~ sP21(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f117,plain,
! [X0] :
( sP6(X0)
| ~ sP21(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f118,plain,
! [X0] :
( sP7(X0)
| ~ sP21(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f119,plain,
! [X0] :
( sP8(X0)
| ~ sP21(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f169,plain,
! [X0] :
( ~ p100(X0)
| p101(X0)
| r1(X0,sK25(X0))
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f171,plain,
! [X0] :
( ~ p100(X0)
| p101(X0)
| ~ p102(sK25(X0))
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f172,plain,
! [X0] :
( ~ p100(X0)
| p101(X0)
| p101(sK25(X0))
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f177,plain,
! [X0] :
( ~ p101(X0)
| p102(X0)
| r1(X0,sK27(X0))
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f179,plain,
! [X0] :
( ~ p101(X0)
| p102(X0)
| ~ p103(sK27(X0))
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f180,plain,
! [X0] :
( ~ p101(X0)
| p102(X0)
| p102(sK27(X0))
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f189,plain,
! [X0] :
( ~ p102(X0)
| p103(X0)
| r1(X0,sK28(X0))
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f191,plain,
! [X0] :
( ~ p102(X0)
| p103(X0)
| ~ p104(sK28(X0))
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f192,plain,
! [X0] :
( ~ p102(X0)
| p103(X0)
| p103(sK28(X0))
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f193,plain,
! [X0] :
( ~ p103(X0)
| p104(X0)
| r1(X0,sK31(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f194,plain,
! [X0] :
( ~ p103(X0)
| p104(X0)
| ~ p5(sK31(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f241,plain,
! [X11,X18,X19,X16,X14,X17,X15,X12,X13,X20] :
( p5(X20)
| ~ r1(X19,X20)
| ~ r1(X18,X19)
| ~ r1(X17,X18)
| ~ r1(X16,X17)
| ~ r1(X15,X16)
| ~ r1(X14,X15)
| ~ r1(X13,X14)
| ~ r1(X12,X13)
| ~ r1(X11,X12)
| ~ r1(sK42,X11) ),
inference(cnf_transformation,[],[f108]) ).
fof(f242,plain,
! [X2,X3,X10,X1,X8,X6,X9,X7,X4,X5] :
( sP21(X10)
| ~ r1(X9,X10)
| ~ r1(X8,X9)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(sK42,X1) ),
inference(cnf_transformation,[],[f108]) ).
fof(f243,plain,
~ p101(sK42),
inference(cnf_transformation,[],[f108]) ).
fof(f244,plain,
p100(sK42),
inference(cnf_transformation,[],[f108]) ).
cnf(c_49,plain,
r1(X0,X0),
inference(cnf_transformation,[],[f109]) ).
cnf(c_71,plain,
( ~ sP21(X0)
| sP8(X0) ),
inference(cnf_transformation,[],[f119]) ).
cnf(c_72,plain,
( ~ sP21(X0)
| sP7(X0) ),
inference(cnf_transformation,[],[f118]) ).
cnf(c_73,plain,
( ~ sP21(X0)
| sP6(X0) ),
inference(cnf_transformation,[],[f117]) ).
cnf(c_74,plain,
( ~ sP21(X0)
| sP5(X0) ),
inference(cnf_transformation,[],[f116]) ).
cnf(c_113,plain,
( ~ p100(X0)
| ~ sP8(X0)
| p101(sK25(X0))
| p101(X0) ),
inference(cnf_transformation,[],[f172]) ).
cnf(c_114,plain,
( ~ p102(sK25(X0))
| ~ p100(X0)
| ~ sP8(X0)
| p101(X0) ),
inference(cnf_transformation,[],[f171]) ).
cnf(c_116,plain,
( ~ p100(X0)
| ~ sP8(X0)
| r1(X0,sK25(X0))
| p101(X0) ),
inference(cnf_transformation,[],[f169]) ).
cnf(c_121,plain,
( ~ p101(X0)
| ~ sP7(X0)
| p102(sK27(X0))
| p102(X0) ),
inference(cnf_transformation,[],[f180]) ).
cnf(c_122,plain,
( ~ p103(sK27(X0))
| ~ p101(X0)
| ~ sP7(X0)
| p102(X0) ),
inference(cnf_transformation,[],[f179]) ).
cnf(c_124,plain,
( ~ p101(X0)
| ~ sP7(X0)
| r1(X0,sK27(X0))
| p102(X0) ),
inference(cnf_transformation,[],[f177]) ).
cnf(c_125,plain,
( ~ p102(X0)
| ~ sP6(X0)
| p103(sK28(X0))
| p103(X0) ),
inference(cnf_transformation,[],[f192]) ).
cnf(c_126,plain,
( ~ p104(sK28(X0))
| ~ p102(X0)
| ~ sP6(X0)
| p103(X0) ),
inference(cnf_transformation,[],[f191]) ).
cnf(c_128,plain,
( ~ p102(X0)
| ~ sP6(X0)
| r1(X0,sK28(X0))
| p103(X0) ),
inference(cnf_transformation,[],[f189]) ).
cnf(c_139,plain,
( ~ p5(sK31(X0))
| ~ p103(X0)
| ~ sP5(X0)
| p104(X0) ),
inference(cnf_transformation,[],[f194]) ).
cnf(c_140,plain,
( ~ p103(X0)
| ~ sP5(X0)
| r1(X0,sK31(X0))
| p104(X0) ),
inference(cnf_transformation,[],[f193]) ).
cnf(c_181,negated_conjecture,
p100(sK42),
inference(cnf_transformation,[],[f244]) ).
cnf(c_182,negated_conjecture,
~ p101(sK42),
inference(cnf_transformation,[],[f243]) ).
cnf(c_183,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X9)
| ~ r1(X3,X4)
| ~ r1(X5,X3)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(sK42,X0)
| sP21(X4) ),
inference(cnf_transformation,[],[f242]) ).
cnf(c_184,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(sK42,X9)
| p5(X1) ),
inference(cnf_transformation,[],[f241]) ).
cnf(c_185,plain,
r1(sK42,sK42),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_195,plain,
( ~ sP21(sK42)
| sP8(sK42) ),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_237,plain,
( ~ p100(sK42)
| ~ sP8(sK42)
| p101(sK25(sK42))
| p101(sK42) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_278,plain,
( ~ p100(sK42)
| ~ sP8(sK42)
| r1(sK42,sK25(sK42))
| p101(sK42) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_280,plain,
( ~ p102(sK25(sK42))
| ~ p100(sK42)
| ~ sP8(sK42)
| p101(sK42) ),
inference(instantiation,[status(thm)],[c_114]) ).
cnf(c_287,plain,
( ~ r1(sK42,sK42)
| sP21(sK42) ),
inference(instantiation,[status(thm)],[c_183]) ).
cnf(c_2122,plain,
( ~ p101(X0)
| ~ sP21(X0)
| r1(X0,sK27(X0))
| p102(X0) ),
inference(resolution,[status(thm)],[c_72,c_124]) ).
cnf(c_2148,plain,
( ~ p103(sK27(X0))
| ~ p101(X0)
| ~ sP21(X0)
| p102(X0) ),
inference(resolution,[status(thm)],[c_72,c_122]) ).
cnf(c_2161,plain,
( ~ p101(X0)
| ~ sP21(X0)
| p102(sK27(X0))
| p102(X0) ),
inference(resolution,[status(thm)],[c_72,c_121]) ).
cnf(c_2314,plain,
( ~ sP21(X0)
| ~ p102(X0)
| r1(X0,sK28(X0))
| p103(X0) ),
inference(resolution,[status(thm)],[c_73,c_128]) ).
cnf(c_2342,plain,
( ~ p104(sK28(X0))
| ~ sP21(X0)
| ~ p102(X0)
| p103(X0) ),
inference(resolution,[status(thm)],[c_73,c_126]) ).
cnf(c_2356,plain,
( ~ sP21(X0)
| ~ p102(X0)
| p103(sK28(X0))
| p103(X0) ),
inference(resolution,[status(thm)],[c_73,c_125]) ).
cnf(c_2402,plain,
( ~ sP21(X0)
| ~ p103(X0)
| r1(X0,sK31(X0))
| p104(X0) ),
inference(resolution,[status(thm)],[c_74,c_140]) ).
cnf(c_2416,plain,
( ~ p5(sK31(X0))
| ~ sP21(X0)
| ~ p103(X0)
| p104(X0) ),
inference(resolution,[status(thm)],[c_74,c_139]) ).
cnf(c_4248,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(sK42,X9)
| p5(X1) ),
inference(demodulation,[status(thm)],[c_184]) ).
cnf(c_4249,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X9)
| ~ r1(X4,X5)
| ~ r1(X6,X4)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(sK42,X0)
| sP21(X5) ),
inference(demodulation,[status(thm)],[c_183]) ).
cnf(c_4251,plain,
( ~ p101(sK25(sK42))
| ~ sP21(sK25(sK42))
| p102(sK27(sK25(sK42)))
| p102(sK25(sK42)) ),
inference(instantiation,[status(thm)],[c_2161]) ).
cnf(c_4257,plain,
( ~ p103(sK27(sK25(sK42)))
| ~ p101(sK25(sK42))
| ~ sP21(sK25(sK42))
| p102(sK25(sK42)) ),
inference(instantiation,[status(thm)],[c_2148]) ).
cnf(c_4263,plain,
( ~ p101(sK25(sK42))
| ~ sP21(sK25(sK42))
| r1(sK25(sK42),sK27(sK25(sK42)))
| p102(sK25(sK42)) ),
inference(instantiation,[status(thm)],[c_2122]) ).
cnf(c_4273,plain,
( ~ sP21(sK27(sK25(sK42)))
| ~ p102(sK27(sK25(sK42)))
| r1(sK27(sK25(sK42)),sK28(sK27(sK25(sK42))))
| p103(sK27(sK25(sK42))) ),
inference(instantiation,[status(thm)],[c_2314]) ).
cnf(c_4275,plain,
( ~ sP21(sK27(sK25(sK42)))
| ~ p102(sK27(sK25(sK42)))
| p103(sK28(sK27(sK25(sK42))))
| p103(sK27(sK25(sK42))) ),
inference(instantiation,[status(thm)],[c_2356]) ).
cnf(c_4276,plain,
( ~ p104(sK28(sK27(sK25(sK42))))
| ~ sP21(sK27(sK25(sK42)))
| ~ p102(sK27(sK25(sK42)))
| p103(sK27(sK25(sK42))) ),
inference(instantiation,[status(thm)],[c_2342]) ).
cnf(c_4297,plain,
( ~ r1(X0,sK25(sK42))
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X8)
| ~ r1(X7,X0)
| ~ r1(X8,X7)
| ~ r1(sK42,X1)
| sP21(sK25(sK42)) ),
inference(instantiation,[status(thm)],[c_4249]) ).
cnf(c_4298,plain,
( ~ r1(sK42,sK25(sK42))
| ~ r1(sK42,sK42)
| sP21(sK25(sK42)) ),
inference(instantiation,[status(thm)],[c_4297]) ).
cnf(c_4343,plain,
( ~ r1(X0,sK27(sK25(sK42)))
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X8)
| ~ r1(X7,X0)
| ~ r1(X8,X7)
| ~ r1(sK42,X1)
| sP21(sK27(sK25(sK42))) ),
inference(instantiation,[status(thm)],[c_4249]) ).
cnf(c_4369,plain,
( ~ r1(sK25(sK42),sK27(sK25(sK42)))
| ~ r1(X0,sK25(sK42))
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X0)
| ~ r1(sK42,X1)
| sP21(sK27(sK25(sK42))) ),
inference(instantiation,[status(thm)],[c_4343]) ).
cnf(c_4370,plain,
( ~ r1(sK25(sK42),sK27(sK25(sK42)))
| ~ r1(sK42,sK25(sK42))
| ~ r1(sK42,sK42)
| sP21(sK27(sK25(sK42))) ),
inference(instantiation,[status(thm)],[c_4369]) ).
cnf(c_4410,plain,
( ~ sP21(sK28(sK27(sK25(sK42))))
| ~ p103(sK28(sK27(sK25(sK42))))
| r1(sK28(sK27(sK25(sK42))),sK31(sK28(sK27(sK25(sK42)))))
| p104(sK28(sK27(sK25(sK42)))) ),
inference(instantiation,[status(thm)],[c_2402]) ).
cnf(c_4416,plain,
( ~ p5(sK31(sK28(sK27(sK25(sK42)))))
| ~ sP21(sK28(sK27(sK25(sK42))))
| ~ p103(sK28(sK27(sK25(sK42))))
| p104(sK28(sK27(sK25(sK42)))) ),
inference(instantiation,[status(thm)],[c_2416]) ).
cnf(c_4577,plain,
( ~ r1(X0,sK28(sK27(sK25(sK42))))
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X8)
| ~ r1(X7,X0)
| ~ r1(X8,X7)
| ~ r1(sK42,X1)
| sP21(sK28(sK27(sK25(sK42)))) ),
inference(instantiation,[status(thm)],[c_4249]) ).
cnf(c_4879,plain,
( ~ r1(sK27(sK25(sK42)),sK28(sK27(sK25(sK42))))
| ~ r1(X0,sK27(sK25(sK42)))
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X0)
| ~ r1(sK42,X1)
| sP21(sK28(sK27(sK25(sK42)))) ),
inference(instantiation,[status(thm)],[c_4577]) ).
cnf(c_5215,plain,
( ~ r1(sK27(sK25(sK42)),sK28(sK27(sK25(sK42))))
| ~ r1(sK25(sK42),sK27(sK25(sK42)))
| ~ r1(X0,sK25(sK42))
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X0)
| ~ r1(sK42,X1)
| sP21(sK28(sK27(sK25(sK42)))) ),
inference(instantiation,[status(thm)],[c_4879]) ).
cnf(c_5216,plain,
( ~ r1(sK27(sK25(sK42)),sK28(sK27(sK25(sK42))))
| ~ r1(sK25(sK42),sK27(sK25(sK42)))
| ~ r1(sK42,sK25(sK42))
| ~ r1(sK42,sK42)
| sP21(sK28(sK27(sK25(sK42)))) ),
inference(instantiation,[status(thm)],[c_5215]) ).
cnf(c_5356,plain,
( ~ r1(X0,sK31(sK28(sK27(sK25(sK42)))))
| ~ r1(X1,X0)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(sK42,X8)
| p5(sK31(sK28(sK27(sK25(sK42))))) ),
inference(instantiation,[status(thm)],[c_4248]) ).
cnf(c_5859,plain,
( ~ r1(sK28(sK27(sK25(sK42))),sK31(sK28(sK27(sK25(sK42)))))
| ~ r1(X0,sK28(sK27(sK25(sK42))))
| ~ r1(X1,X0)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(sK42,X7)
| p5(sK31(sK28(sK27(sK25(sK42))))) ),
inference(instantiation,[status(thm)],[c_5356]) ).
cnf(c_9747,plain,
( ~ r1(sK28(sK27(sK25(sK42))),sK31(sK28(sK27(sK25(sK42)))))
| ~ r1(sK27(sK25(sK42)),sK28(sK27(sK25(sK42))))
| ~ r1(X0,sK27(sK25(sK42)))
| ~ r1(X1,X0)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(sK42,X6)
| p5(sK31(sK28(sK27(sK25(sK42))))) ),
inference(instantiation,[status(thm)],[c_5859]) ).
cnf(c_13397,plain,
( ~ r1(sK28(sK27(sK25(sK42))),sK31(sK28(sK27(sK25(sK42)))))
| ~ r1(sK27(sK25(sK42)),sK28(sK27(sK25(sK42))))
| ~ r1(sK25(sK42),sK27(sK25(sK42)))
| ~ r1(X0,sK25(sK42))
| ~ r1(X1,X0)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(sK42,X5)
| p5(sK31(sK28(sK27(sK25(sK42))))) ),
inference(instantiation,[status(thm)],[c_9747]) ).
cnf(c_13398,plain,
( ~ r1(sK28(sK27(sK25(sK42))),sK31(sK28(sK27(sK25(sK42)))))
| ~ r1(sK27(sK25(sK42)),sK28(sK27(sK25(sK42))))
| ~ r1(sK25(sK42),sK27(sK25(sK42)))
| ~ r1(sK42,sK25(sK42))
| ~ r1(sK42,sK42)
| p5(sK31(sK28(sK27(sK25(sK42))))) ),
inference(instantiation,[status(thm)],[c_13397]) ).
cnf(c_13399,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_13398,c_5216,c_4410,c_4416,c_4370,c_4298,c_4273,c_4275,c_4276,c_4263,c_4257,c_4251,c_287,c_280,c_278,c_237,c_195,c_185,c_182,c_181]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : LCL656+1.010 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.11 % Command : run_iprover %s %d THM
% 0.10/0.32 % Computer : n021.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Thu May 2 19:21:12 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.17/0.42 Running first-order theorem proving
% 0.17/0.42 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 6.72/1.62 % SZS status Started for theBenchmark.p
% 6.72/1.62 % SZS status Theorem for theBenchmark.p
% 6.72/1.62
% 6.72/1.62 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 6.72/1.62
% 6.72/1.62 ------ iProver source info
% 6.72/1.62
% 6.72/1.62 git: date: 2024-05-02 19:28:25 +0000
% 6.72/1.62 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 6.72/1.62 git: non_committed_changes: false
% 6.72/1.62
% 6.72/1.62 ------ Parsing...
% 6.72/1.62 ------ Clausification by vclausify_rel & Parsing by iProver...
% 6.72/1.62
% 6.72/1.62 ------ Preprocessing... sf_s rm: 3 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 6.72/1.62
% 6.72/1.62 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 6.72/1.62 ------ Proving...
% 6.72/1.62 ------ Problem Properties
% 6.72/1.62
% 6.72/1.62
% 6.72/1.62 clauses 111
% 6.72/1.62 conjectures 3
% 6.72/1.62 EPR 33
% 6.72/1.62 Horn 66
% 6.72/1.62 unary 10
% 6.72/1.62 binary 0
% 6.72/1.62 lits 459
% 6.72/1.62 lits eq 0
% 6.72/1.62 fd_pure 0
% 6.72/1.62 fd_pseudo 0
% 6.72/1.62 fd_cond 0
% 6.72/1.62 fd_pseudo_cond 0
% 6.72/1.62 AC symbols 0
% 6.72/1.62
% 6.72/1.62 ------ Schedule dynamic 5 is on
% 6.72/1.62
% 6.72/1.62 ------ no equalities: superposition off
% 6.72/1.62
% 6.72/1.62 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 6.72/1.62
% 6.72/1.62
% 6.72/1.62 ------
% 6.72/1.62 Current options:
% 6.72/1.62 ------
% 6.72/1.62
% 6.72/1.62
% 6.72/1.62
% 6.72/1.62
% 6.72/1.62 ------ Proving...
% 6.72/1.62
% 6.72/1.62
% 6.72/1.62 % SZS status Theorem for theBenchmark.p
% 6.72/1.62
% 6.72/1.62 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.72/1.62
% 6.72/1.62
%------------------------------------------------------------------------------