%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL636+1.005 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n029.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 : Tue Apr 30 13:45:07 EDT 2024
% Result : Theorem 0.21s 0.51s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 54
% Number of leaves : 127
% Syntax : Number of formulae : 303 ( 45 unt; 0 def)
% Number of atoms : 7064 ( 0 equ)
% Maximal formula atoms : 719 ( 23 avg)
% Number of connectives : 11952 (5191 ~;3812 |;2943 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 65 ( 8 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 135 ( 134 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 1619 (1414 !; 205 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8797,plain,
$false,
inference(subsumption_resolution,[],[f8796,f8762]) ).
fof(f8762,plain,
p3(sK168(sK157(sK145(sK133(sK120(sK180)))))),
inference(subsumption_resolution,[],[f8761,f958]) ).
fof(f958,plain,
r1(sK180,sK120(sK180)),
inference(resolution,[],[f492,f949]) ).
fof(f949,plain,
sP119(sK180),
inference(subsumption_resolution,[],[f948,f943]) ).
fof(f943,plain,
~ p101(sK180),
inference(cnf_transformation,[],[f491]) ).
fof(f491,plain,
( p100(sK180)
& ~ p101(sK180)
& ( ~ p101(sK180)
| p100(sK180) )
& ( ~ p102(sK180)
| p101(sK180) )
& ( ~ p103(sK180)
| p102(sK180) )
& ( ~ p104(sK180)
| p103(sK180) )
& ( ~ p105(sK180)
| p104(sK180) )
& ( ~ p100(sK180)
| ( ( ~ p1(sK180)
| ! [X1] :
( ~ p100(X1)
| p1(X1)
| ~ r1(sK180,X1) ) )
& ( p1(sK180)
| ! [X2] :
( ~ p100(X2)
| ~ p1(X2)
| ~ r1(sK180,X2) ) ) ) )
& ( ~ p101(sK180)
| ( ( ~ p2(sK180)
| ! [X3] :
( ~ p101(X3)
| p2(X3)
| ~ r1(sK180,X3) ) )
& ( p2(sK180)
| ! [X4] :
( ~ p101(X4)
| ~ p2(X4)
| ~ r1(sK180,X4) ) ) ) )
& ( ~ p102(sK180)
| ( ( ~ p3(sK180)
| ! [X5] :
( ~ p102(X5)
| p3(X5)
| ~ r1(sK180,X5) ) )
& ( p3(sK180)
| ! [X6] :
( ~ p102(X6)
| ~ p3(X6)
| ~ r1(sK180,X6) ) ) ) )
& ( ~ p103(sK180)
| ( ( ~ p4(sK180)
| ! [X7] :
( ~ p103(X7)
| p4(X7)
| ~ r1(sK180,X7) ) )
& ( p4(sK180)
| ! [X8] :
( ~ p103(X8)
| ~ p4(X8)
| ~ r1(sK180,X8) ) ) ) )
& ( ~ p104(sK180)
| ( ( ~ p5(sK180)
| ! [X9] :
( ~ p104(X9)
| p5(X9)
| ~ r1(sK180,X9) ) )
& ( p5(sK180)
| ! [X10] :
( ~ p104(X10)
| ~ p5(X10)
| ~ r1(sK180,X10) ) ) ) )
& ( ~ p105(sK180)
| ( ( ~ p6(sK180)
| ! [X11] :
( ~ p105(X11)
| p6(X11)
| ~ r1(sK180,X11) ) )
& ( p6(sK180)
| ! [X12] :
( ~ p105(X12)
| ~ p6(X12)
| ~ r1(sK180,X12) ) ) ) )
& ( ~ p100(sK180)
| p101(sK180)
| ( sP119(sK180)
& sP118(sK180) ) )
& ( ~ p101(sK180)
| p102(sK180)
| ( sP117(sK180)
& sP116(sK180) ) )
& ( ~ p102(sK180)
| p103(sK180)
| ( sP115(sK180)
& sP114(sK180) ) )
& ( ~ p103(sK180)
| p104(sK180)
| ( sP113(sK180)
& sP112(sK180) ) )
& ( ~ p104(sK180)
| p105(sK180)
| ( sP111(sK180)
& sP110(sK180) ) )
& ! [X13] :
( sP109(X13)
| ~ r1(sK180,X13) )
& ! [X14] :
( ! [X15] :
( sP87(X15)
| ~ r1(X14,X15) )
| ~ r1(sK180,X14) )
& ! [X16] :
( ! [X17] :
( ! [X18] :
( sP65(X18)
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| ~ r1(sK180,X16) )
& ! [X19] :
( ! [X20] :
( ! [X21] :
( ! [X22] :
( sP43(X22)
| ~ r1(X21,X22) )
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
| ~ r1(sK180,X19) )
& ! [X23] :
( ! [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( sP21(X27)
| ~ r1(X26,X27) )
| ~ r1(X25,X26) )
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
| ~ r1(sK180,X23) )
& ! [X28] :
( ! [X29] :
( ! [X30] :
( ! [X31] :
( ! [X32] :
( p3(X32)
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| ~ r1(sK180,X28) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK180])],[f489,f490]) ).
fof(f490,plain,
( ? [X0] :
( p100(X0)
& ~ p101(X0)
& ( ~ p101(X0)
| p100(X0) )
& ( ~ p102(X0)
| p101(X0) )
& ( ~ p103(X0)
| p102(X0) )
& ( ~ p104(X0)
| p103(X0) )
& ( ~ p105(X0)
| p104(X0) )
& ( ~ p100(X0)
| ( ( ~ p1(X0)
| ! [X1] :
( ~ p100(X1)
| p1(X1)
| ~ r1(X0,X1) ) )
& ( p1(X0)
| ! [X2] :
( ~ p100(X2)
| ~ p1(X2)
| ~ r1(X0,X2) ) ) ) )
& ( ~ p101(X0)
| ( ( ~ p2(X0)
| ! [X3] :
( ~ p101(X3)
| p2(X3)
| ~ r1(X0,X3) ) )
& ( p2(X0)
| ! [X4] :
( ~ p101(X4)
| ~ p2(X4)
| ~ r1(X0,X4) ) ) ) )
& ( ~ p102(X0)
| ( ( ~ p3(X0)
| ! [X5] :
( ~ p102(X5)
| p3(X5)
| ~ r1(X0,X5) ) )
& ( p3(X0)
| ! [X6] :
( ~ p102(X6)
| ~ p3(X6)
| ~ r1(X0,X6) ) ) ) )
& ( ~ p103(X0)
| ( ( ~ p4(X0)
| ! [X7] :
( ~ p103(X7)
| p4(X7)
| ~ r1(X0,X7) ) )
& ( p4(X0)
| ! [X8] :
( ~ p103(X8)
| ~ p4(X8)
| ~ r1(X0,X8) ) ) ) )
& ( ~ p104(X0)
| ( ( ~ p5(X0)
| ! [X9] :
( ~ p104(X9)
| p5(X9)
| ~ r1(X0,X9) ) )
& ( p5(X0)
| ! [X10] :
( ~ p104(X10)
| ~ p5(X10)
| ~ r1(X0,X10) ) ) ) )
& ( ~ p105(X0)
| ( ( ~ p6(X0)
| ! [X11] :
( ~ p105(X11)
| p6(X11)
| ~ r1(X0,X11) ) )
& ( p6(X0)
| ! [X12] :
( ~ p105(X12)
| ~ p6(X12)
| ~ r1(X0,X12) ) ) ) )
& ( ~ p100(X0)
| p101(X0)
| ( sP119(X0)
& sP118(X0) ) )
& ( ~ p101(X0)
| p102(X0)
| ( sP117(X0)
& sP116(X0) ) )
& ( ~ p102(X0)
| p103(X0)
| ( sP115(X0)
& sP114(X0) ) )
& ( ~ p103(X0)
| p104(X0)
| ( sP113(X0)
& sP112(X0) ) )
& ( ~ p104(X0)
| p105(X0)
| ( sP111(X0)
& sP110(X0) ) )
& ! [X13] :
( sP109(X13)
| ~ r1(X0,X13) )
& ! [X14] :
( ! [X15] :
( sP87(X15)
| ~ r1(X14,X15) )
| ~ r1(X0,X14) )
& ! [X16] :
( ! [X17] :
( ! [X18] :
( sP65(X18)
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| ~ r1(X0,X16) )
& ! [X19] :
( ! [X20] :
( ! [X21] :
( ! [X22] :
( sP43(X22)
| ~ r1(X21,X22) )
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
| ~ r1(X0,X19) )
& ! [X23] :
( ! [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( sP21(X27)
| ~ r1(X26,X27) )
| ~ r1(X25,X26) )
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
| ~ r1(X0,X23) )
& ! [X28] :
( ! [X29] :
( ! [X30] :
( ! [X31] :
( ! [X32] :
( p3(X32)
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| ~ r1(X0,X28) ) )
=> ( p100(sK180)
& ~ p101(sK180)
& ( ~ p101(sK180)
| p100(sK180) )
& ( ~ p102(sK180)
| p101(sK180) )
& ( ~ p103(sK180)
| p102(sK180) )
& ( ~ p104(sK180)
| p103(sK180) )
& ( ~ p105(sK180)
| p104(sK180) )
& ( ~ p100(sK180)
| ( ( ~ p1(sK180)
| ! [X1] :
( ~ p100(X1)
| p1(X1)
| ~ r1(sK180,X1) ) )
& ( p1(sK180)
| ! [X2] :
( ~ p100(X2)
| ~ p1(X2)
| ~ r1(sK180,X2) ) ) ) )
& ( ~ p101(sK180)
| ( ( ~ p2(sK180)
| ! [X3] :
( ~ p101(X3)
| p2(X3)
| ~ r1(sK180,X3) ) )
& ( p2(sK180)
| ! [X4] :
( ~ p101(X4)
| ~ p2(X4)
| ~ r1(sK180,X4) ) ) ) )
& ( ~ p102(sK180)
| ( ( ~ p3(sK180)
| ! [X5] :
( ~ p102(X5)
| p3(X5)
| ~ r1(sK180,X5) ) )
& ( p3(sK180)
| ! [X6] :
( ~ p102(X6)
| ~ p3(X6)
| ~ r1(sK180,X6) ) ) ) )
& ( ~ p103(sK180)
| ( ( ~ p4(sK180)
| ! [X7] :
( ~ p103(X7)
| p4(X7)
| ~ r1(sK180,X7) ) )
& ( p4(sK180)
| ! [X8] :
( ~ p103(X8)
| ~ p4(X8)
| ~ r1(sK180,X8) ) ) ) )
& ( ~ p104(sK180)
| ( ( ~ p5(sK180)
| ! [X9] :
( ~ p104(X9)
| p5(X9)
| ~ r1(sK180,X9) ) )
& ( p5(sK180)
| ! [X10] :
( ~ p104(X10)
| ~ p5(X10)
| ~ r1(sK180,X10) ) ) ) )
& ( ~ p105(sK180)
| ( ( ~ p6(sK180)
| ! [X11] :
( ~ p105(X11)
| p6(X11)
| ~ r1(sK180,X11) ) )
& ( p6(sK180)
| ! [X12] :
( ~ p105(X12)
| ~ p6(X12)
| ~ r1(sK180,X12) ) ) ) )
& ( ~ p100(sK180)
| p101(sK180)
| ( sP119(sK180)
& sP118(sK180) ) )
& ( ~ p101(sK180)
| p102(sK180)
| ( sP117(sK180)
& sP116(sK180) ) )
& ( ~ p102(sK180)
| p103(sK180)
| ( sP115(sK180)
& sP114(sK180) ) )
& ( ~ p103(sK180)
| p104(sK180)
| ( sP113(sK180)
& sP112(sK180) ) )
& ( ~ p104(sK180)
| p105(sK180)
| ( sP111(sK180)
& sP110(sK180) ) )
& ! [X13] :
( sP109(X13)
| ~ r1(sK180,X13) )
& ! [X14] :
( ! [X15] :
( sP87(X15)
| ~ r1(X14,X15) )
| ~ r1(sK180,X14) )
& ! [X16] :
( ! [X17] :
( ! [X18] :
( sP65(X18)
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| ~ r1(sK180,X16) )
& ! [X19] :
( ! [X20] :
( ! [X21] :
( ! [X22] :
( sP43(X22)
| ~ r1(X21,X22) )
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
| ~ r1(sK180,X19) )
& ! [X23] :
( ! [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( sP21(X27)
| ~ r1(X26,X27) )
| ~ r1(X25,X26) )
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
| ~ r1(sK180,X23) )
& ! [X28] :
( ! [X29] :
( ! [X30] :
( ! [X31] :
( ! [X32] :
( p3(X32)
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| ~ r1(sK180,X28) ) ) ),
introduced(choice_axiom,[]) ).
fof(f489,plain,
? [X0] :
( p100(X0)
& ~ p101(X0)
& ( ~ p101(X0)
| p100(X0) )
& ( ~ p102(X0)
| p101(X0) )
& ( ~ p103(X0)
| p102(X0) )
& ( ~ p104(X0)
| p103(X0) )
& ( ~ p105(X0)
| p104(X0) )
& ( ~ p100(X0)
| ( ( ~ p1(X0)
| ! [X1] :
( ~ p100(X1)
| p1(X1)
| ~ r1(X0,X1) ) )
& ( p1(X0)
| ! [X2] :
( ~ p100(X2)
| ~ p1(X2)
| ~ r1(X0,X2) ) ) ) )
& ( ~ p101(X0)
| ( ( ~ p2(X0)
| ! [X3] :
( ~ p101(X3)
| p2(X3)
| ~ r1(X0,X3) ) )
& ( p2(X0)
| ! [X4] :
( ~ p101(X4)
| ~ p2(X4)
| ~ r1(X0,X4) ) ) ) )
& ( ~ p102(X0)
| ( ( ~ p3(X0)
| ! [X5] :
( ~ p102(X5)
| p3(X5)
| ~ r1(X0,X5) ) )
& ( p3(X0)
| ! [X6] :
( ~ p102(X6)
| ~ p3(X6)
| ~ r1(X0,X6) ) ) ) )
& ( ~ p103(X0)
| ( ( ~ p4(X0)
| ! [X7] :
( ~ p103(X7)
| p4(X7)
| ~ r1(X0,X7) ) )
& ( p4(X0)
| ! [X8] :
( ~ p103(X8)
| ~ p4(X8)
| ~ r1(X0,X8) ) ) ) )
& ( ~ p104(X0)
| ( ( ~ p5(X0)
| ! [X9] :
( ~ p104(X9)
| p5(X9)
| ~ r1(X0,X9) ) )
& ( p5(X0)
| ! [X10] :
( ~ p104(X10)
| ~ p5(X10)
| ~ r1(X0,X10) ) ) ) )
& ( ~ p105(X0)
| ( ( ~ p6(X0)
| ! [X11] :
( ~ p105(X11)
| p6(X11)
| ~ r1(X0,X11) ) )
& ( p6(X0)
| ! [X12] :
( ~ p105(X12)
| ~ p6(X12)
| ~ r1(X0,X12) ) ) ) )
& ( ~ p100(X0)
| p101(X0)
| ( sP119(X0)
& sP118(X0) ) )
& ( ~ p101(X0)
| p102(X0)
| ( sP117(X0)
& sP116(X0) ) )
& ( ~ p102(X0)
| p103(X0)
| ( sP115(X0)
& sP114(X0) ) )
& ( ~ p103(X0)
| p104(X0)
| ( sP113(X0)
& sP112(X0) ) )
& ( ~ p104(X0)
| p105(X0)
| ( sP111(X0)
& sP110(X0) ) )
& ! [X13] :
( sP109(X13)
| ~ r1(X0,X13) )
& ! [X14] :
( ! [X15] :
( sP87(X15)
| ~ r1(X14,X15) )
| ~ r1(X0,X14) )
& ! [X16] :
( ! [X17] :
( ! [X18] :
( sP65(X18)
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| ~ r1(X0,X16) )
& ! [X19] :
( ! [X20] :
( ! [X21] :
( ! [X22] :
( sP43(X22)
| ~ r1(X21,X22) )
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
| ~ r1(X0,X19) )
& ! [X23] :
( ! [X24] :
( ! [X25] :
( ! [X26] :
( ! [X27] :
( sP21(X27)
| ~ r1(X26,X27) )
| ~ r1(X25,X26) )
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
| ~ r1(X0,X23) )
& ! [X28] :
( ! [X29] :
( ! [X30] :
( ! [X31] :
( ! [X32] :
( p3(X32)
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| ~ r1(X0,X28) ) ),
inference(rectify,[],[f128]) ).
fof(f128,plain,
? [X0] :
( p100(X0)
& ~ p101(X0)
& ( ~ p101(X0)
| p100(X0) )
& ( ~ p102(X0)
| p101(X0) )
& ( ~ p103(X0)
| p102(X0) )
& ( ~ p104(X0)
| p103(X0) )
& ( ~ p105(X0)
| p104(X0) )
& ( ~ p100(X0)
| ( ( ~ p1(X0)
| ! [X1] :
( ~ p100(X1)
| p1(X1)
| ~ r1(X0,X1) ) )
& ( p1(X0)
| ! [X2] :
( ~ p100(X2)
| ~ p1(X2)
| ~ r1(X0,X2) ) ) ) )
& ( ~ p101(X0)
| ( ( ~ p2(X0)
| ! [X3] :
( ~ p101(X3)
| p2(X3)
| ~ r1(X0,X3) ) )
& ( p2(X0)
| ! [X4] :
( ~ p101(X4)
| ~ p2(X4)
| ~ r1(X0,X4) ) ) ) )
& ( ~ p102(X0)
| ( ( ~ p3(X0)
| ! [X5] :
( ~ p102(X5)
| p3(X5)
| ~ r1(X0,X5) ) )
& ( p3(X0)
| ! [X6] :
( ~ p102(X6)
| ~ p3(X6)
| ~ r1(X0,X6) ) ) ) )
& ( ~ p103(X0)
| ( ( ~ p4(X0)
| ! [X7] :
( ~ p103(X7)
| p4(X7)
| ~ r1(X0,X7) ) )
& ( p4(X0)
| ! [X8] :
( ~ p103(X8)
| ~ p4(X8)
| ~ r1(X0,X8) ) ) ) )
& ( ~ p104(X0)
| ( ( ~ p5(X0)
| ! [X9] :
( ~ p104(X9)
| p5(X9)
| ~ r1(X0,X9) ) )
& ( p5(X0)
| ! [X10] :
( ~ p104(X10)
| ~ p5(X10)
| ~ r1(X0,X10) ) ) ) )
& ( ~ p105(X0)
| ( ( ~ p6(X0)
| ! [X11] :
( ~ p105(X11)
| p6(X11)
| ~ r1(X0,X11) ) )
& ( p6(X0)
| ! [X12] :
( ~ p105(X12)
| ~ p6(X12)
| ~ r1(X0,X12) ) ) ) )
& ( ~ p100(X0)
| p101(X0)
| ( sP119(X0)
& sP118(X0) ) )
& ( ~ p101(X0)
| p102(X0)
| ( sP117(X0)
& sP116(X0) ) )
& ( ~ p102(X0)
| p103(X0)
| ( sP115(X0)
& sP114(X0) ) )
& ( ~ p103(X0)
| p104(X0)
| ( sP113(X0)
& sP112(X0) ) )
& ( ~ p104(X0)
| p105(X0)
| ( sP111(X0)
& sP110(X0) ) )
& ! [X23] :
( sP109(X23)
| ~ r1(X0,X23) )
& ! [X46] :
( ! [X47] :
( sP87(X47)
| ~ r1(X46,X47) )
| ~ r1(X0,X46) )
& ! [X70] :
( ! [X71] :
( ! [X72] :
( sP65(X72)
| ~ r1(X71,X72) )
| ~ r1(X70,X71) )
| ~ r1(X0,X70) )
& ! [X95] :
( ! [X96] :
( ! [X97] :
( ! [X98] :
( sP43(X98)
| ~ r1(X97,X98) )
| ~ r1(X96,X97) )
| ~ r1(X95,X96) )
| ~ r1(X0,X95) )
& ! [X121] :
( ! [X122] :
( ! [X123] :
( ! [X124] :
( ! [X125] :
( sP21(X125)
| ~ r1(X124,X125) )
| ~ r1(X123,X124) )
| ~ r1(X122,X123) )
| ~ r1(X121,X122) )
| ~ r1(X0,X121) )
& ! [X148] :
( ! [X149] :
( ! [X150] :
( ! [X151] :
( ! [X152] :
( p3(X152)
| ~ r1(X151,X152) )
| ~ r1(X150,X151) )
| ~ r1(X149,X150) )
| ~ r1(X148,X149) )
| ~ r1(X0,X148) ) ),
inference(definition_folding,[],[f7,f127,f126,f125,f124,f123,f122,f121,f120,f119,f118,f117,f116,f115,f114,f113,f112,f111,f110,f109,f108,f107,f106,f105,f104,f103,f102,f101,f100,f99,f98,f97,f96,f95,f94,f93,f92,f91,f90,f89,f88,f87,f86,f85,f84,f83,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9,f8]) ).
fof(f8,plain,
! [X125] :
( ? [X147] :
( p105(X147)
& ~ p6(X147)
& r1(X125,X147) )
| ~ sP0(X125) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f9,plain,
! [X125] :
( ? [X146] :
( p105(X146)
& p6(X146)
& r1(X125,X146) )
| ~ sP1(X125) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f10,plain,
! [X125] :
( ? [X145] :
( p104(X145)
& ~ p105(X145)
& ~ p5(X145)
& r1(X125,X145) )
| ~ sP2(X125) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f11,plain,
! [X125] :
( ? [X144] :
( p104(X144)
& ~ p105(X144)
& p5(X144)
& r1(X125,X144) )
| ~ sP3(X125) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f12,plain,
! [X125] :
( ? [X143] :
( p103(X143)
& ~ p104(X143)
& ~ p4(X143)
& r1(X125,X143) )
| ~ sP4(X125) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f13,plain,
! [X125] :
( ? [X142] :
( p103(X142)
& ~ p104(X142)
& p4(X142)
& r1(X125,X142) )
| ~ sP5(X125) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f14,plain,
! [X125] :
( ? [X141] :
( p102(X141)
& ~ p103(X141)
& ~ p3(X141)
& r1(X125,X141) )
| ~ sP6(X125) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f15,plain,
! [X125] :
( ? [X140] :
( p102(X140)
& ~ p103(X140)
& p3(X140)
& r1(X125,X140) )
| ~ sP7(X125) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f16,plain,
! [X125] :
( ? [X139] :
( p101(X139)
& ~ p102(X139)
& ~ p2(X139)
& r1(X125,X139) )
| ~ sP8(X125) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f17,plain,
! [X125] :
( ? [X138] :
( p101(X138)
& ~ p102(X138)
& p2(X138)
& r1(X125,X138) )
| ~ sP9(X125) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f18,plain,
! [X125] :
( ~ p104(X125)
| p105(X125)
| ( sP1(X125)
& sP0(X125) )
| ~ sP10(X125) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f19,plain,
! [X125] :
( ~ p103(X125)
| p104(X125)
| ( sP3(X125)
& sP2(X125) )
| ~ sP11(X125) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f20,plain,
! [X125] :
( ~ p102(X125)
| p103(X125)
| ( sP5(X125)
& sP4(X125) )
| ~ sP12(X125) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f21,plain,
! [X125] :
( ~ p101(X125)
| p102(X125)
| ( sP7(X125)
& sP6(X125) )
| ~ sP13(X125) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f22,plain,
! [X125] :
( ~ p100(X125)
| p101(X125)
| ( sP9(X125)
& sP8(X125) )
| ~ sP14(X125) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f23,plain,
! [X125] :
( ~ p105(X125)
| ( ( ~ p6(X125)
| ! [X136] :
( ~ p105(X136)
| p6(X136)
| ~ r1(X125,X136) ) )
& ( p6(X125)
| ! [X137] :
( ~ p105(X137)
| ~ p6(X137)
| ~ r1(X125,X137) ) ) )
| ~ sP15(X125) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f24,plain,
! [X125] :
( ~ p104(X125)
| ( ( ~ p5(X125)
| ! [X134] :
( ~ p104(X134)
| p5(X134)
| ~ r1(X125,X134) ) )
& ( p5(X125)
| ! [X135] :
( ~ p104(X135)
| ~ p5(X135)
| ~ r1(X125,X135) ) ) )
| ~ sP16(X125) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f25,plain,
! [X125] :
( ~ p103(X125)
| ( ( ~ p4(X125)
| ! [X132] :
( ~ p103(X132)
| p4(X132)
| ~ r1(X125,X132) ) )
& ( p4(X125)
| ! [X133] :
( ~ p103(X133)
| ~ p4(X133)
| ~ r1(X125,X133) ) ) )
| ~ sP17(X125) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f26,plain,
! [X125] :
( ~ p102(X125)
| ( ( ~ p3(X125)
| ! [X130] :
( ~ p102(X130)
| p3(X130)
| ~ r1(X125,X130) ) )
& ( p3(X125)
| ! [X131] :
( ~ p102(X131)
| ~ p3(X131)
| ~ r1(X125,X131) ) ) )
| ~ sP18(X125) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f27,plain,
! [X125] :
( ~ p101(X125)
| ( ( ~ p2(X125)
| ! [X128] :
( ~ p101(X128)
| p2(X128)
| ~ r1(X125,X128) ) )
& ( p2(X125)
| ! [X129] :
( ~ p101(X129)
| ~ p2(X129)
| ~ r1(X125,X129) ) ) )
| ~ sP19(X125) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f28,plain,
! [X125] :
( ~ p100(X125)
| ( ( ~ p1(X125)
| ! [X126] :
( ~ p100(X126)
| p1(X126)
| ~ r1(X125,X126) ) )
& ( p1(X125)
| ! [X127] :
( ~ p100(X127)
| ~ p1(X127)
| ~ r1(X125,X127) ) ) )
| ~ sP20(X125) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f29,plain,
! [X125] :
( ( ( ~ p101(X125)
| p100(X125) )
& ( ~ p102(X125)
| p101(X125) )
& ( ~ p103(X125)
| p102(X125) )
& ( ~ p104(X125)
| p103(X125) )
& ( ~ p105(X125)
| p104(X125) )
& sP20(X125)
& sP19(X125)
& sP18(X125)
& sP17(X125)
& sP16(X125)
& sP15(X125)
& sP14(X125)
& sP13(X125)
& sP12(X125)
& sP11(X125)
& sP10(X125) )
| ~ sP21(X125) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f30,plain,
! [X98] :
( ? [X120] :
( p105(X120)
& ~ p6(X120)
& r1(X98,X120) )
| ~ sP22(X98) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f31,plain,
! [X98] :
( ? [X119] :
( p105(X119)
& p6(X119)
& r1(X98,X119) )
| ~ sP23(X98) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f32,plain,
! [X98] :
( ? [X118] :
( p104(X118)
& ~ p105(X118)
& ~ p5(X118)
& r1(X98,X118) )
| ~ sP24(X98) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f33,plain,
! [X98] :
( ? [X117] :
( p104(X117)
& ~ p105(X117)
& p5(X117)
& r1(X98,X117) )
| ~ sP25(X98) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f34,plain,
! [X98] :
( ? [X116] :
( p103(X116)
& ~ p104(X116)
& ~ p4(X116)
& r1(X98,X116) )
| ~ sP26(X98) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f35,plain,
! [X98] :
( ? [X115] :
( p103(X115)
& ~ p104(X115)
& p4(X115)
& r1(X98,X115) )
| ~ sP27(X98) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f36,plain,
! [X98] :
( ? [X114] :
( p102(X114)
& ~ p103(X114)
& ~ p3(X114)
& r1(X98,X114) )
| ~ sP28(X98) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f37,plain,
! [X98] :
( ? [X113] :
( p102(X113)
& ~ p103(X113)
& p3(X113)
& r1(X98,X113) )
| ~ sP29(X98) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f38,plain,
! [X98] :
( ? [X112] :
( p101(X112)
& ~ p102(X112)
& ~ p2(X112)
& r1(X98,X112) )
| ~ sP30(X98) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f39,plain,
! [X98] :
( ? [X111] :
( p101(X111)
& ~ p102(X111)
& p2(X111)
& r1(X98,X111) )
| ~ sP31(X98) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f40,plain,
! [X98] :
( ~ p104(X98)
| p105(X98)
| ( sP23(X98)
& sP22(X98) )
| ~ sP32(X98) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f41,plain,
! [X98] :
( ~ p103(X98)
| p104(X98)
| ( sP25(X98)
& sP24(X98) )
| ~ sP33(X98) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f42,plain,
! [X98] :
( ~ p102(X98)
| p103(X98)
| ( sP27(X98)
& sP26(X98) )
| ~ sP34(X98) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f43,plain,
! [X98] :
( ~ p101(X98)
| p102(X98)
| ( sP29(X98)
& sP28(X98) )
| ~ sP35(X98) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f44,plain,
! [X98] :
( ~ p100(X98)
| p101(X98)
| ( sP31(X98)
& sP30(X98) )
| ~ sP36(X98) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f45,plain,
! [X98] :
( ~ p105(X98)
| ( ( ~ p6(X98)
| ! [X109] :
( ~ p105(X109)
| p6(X109)
| ~ r1(X98,X109) ) )
& ( p6(X98)
| ! [X110] :
( ~ p105(X110)
| ~ p6(X110)
| ~ r1(X98,X110) ) ) )
| ~ sP37(X98) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f46,plain,
! [X98] :
( ~ p104(X98)
| ( ( ~ p5(X98)
| ! [X107] :
( ~ p104(X107)
| p5(X107)
| ~ r1(X98,X107) ) )
& ( p5(X98)
| ! [X108] :
( ~ p104(X108)
| ~ p5(X108)
| ~ r1(X98,X108) ) ) )
| ~ sP38(X98) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f47,plain,
! [X98] :
( ~ p103(X98)
| ( ( ~ p4(X98)
| ! [X105] :
( ~ p103(X105)
| p4(X105)
| ~ r1(X98,X105) ) )
& ( p4(X98)
| ! [X106] :
( ~ p103(X106)
| ~ p4(X106)
| ~ r1(X98,X106) ) ) )
| ~ sP39(X98) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f48,plain,
! [X98] :
( ~ p102(X98)
| ( ( ~ p3(X98)
| ! [X103] :
( ~ p102(X103)
| p3(X103)
| ~ r1(X98,X103) ) )
& ( p3(X98)
| ! [X104] :
( ~ p102(X104)
| ~ p3(X104)
| ~ r1(X98,X104) ) ) )
| ~ sP40(X98) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f49,plain,
! [X98] :
( ~ p101(X98)
| ( ( ~ p2(X98)
| ! [X101] :
( ~ p101(X101)
| p2(X101)
| ~ r1(X98,X101) ) )
& ( p2(X98)
| ! [X102] :
( ~ p101(X102)
| ~ p2(X102)
| ~ r1(X98,X102) ) ) )
| ~ sP41(X98) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f50,plain,
! [X98] :
( ~ p100(X98)
| ( ( ~ p1(X98)
| ! [X99] :
( ~ p100(X99)
| p1(X99)
| ~ r1(X98,X99) ) )
& ( p1(X98)
| ! [X100] :
( ~ p100(X100)
| ~ p1(X100)
| ~ r1(X98,X100) ) ) )
| ~ sP42(X98) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).
fof(f51,plain,
! [X98] :
( ( ( ~ p101(X98)
| p100(X98) )
& ( ~ p102(X98)
| p101(X98) )
& ( ~ p103(X98)
| p102(X98) )
& ( ~ p104(X98)
| p103(X98) )
& ( ~ p105(X98)
| p104(X98) )
& sP42(X98)
& sP41(X98)
& sP40(X98)
& sP39(X98)
& sP38(X98)
& sP37(X98)
& sP36(X98)
& sP35(X98)
& sP34(X98)
& sP33(X98)
& sP32(X98) )
| ~ sP43(X98) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).
fof(f52,plain,
! [X72] :
( ? [X94] :
( p105(X94)
& ~ p6(X94)
& r1(X72,X94) )
| ~ sP44(X72) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).
fof(f53,plain,
! [X72] :
( ? [X93] :
( p105(X93)
& p6(X93)
& r1(X72,X93) )
| ~ sP45(X72) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])]) ).
fof(f54,plain,
! [X72] :
( ? [X92] :
( p104(X92)
& ~ p105(X92)
& ~ p5(X92)
& r1(X72,X92) )
| ~ sP46(X72) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])]) ).
fof(f55,plain,
! [X72] :
( ? [X91] :
( p104(X91)
& ~ p105(X91)
& p5(X91)
& r1(X72,X91) )
| ~ sP47(X72) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])]) ).
fof(f56,plain,
! [X72] :
( ? [X90] :
( p103(X90)
& ~ p104(X90)
& ~ p4(X90)
& r1(X72,X90) )
| ~ sP48(X72) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP48])]) ).
fof(f57,plain,
! [X72] :
( ? [X89] :
( p103(X89)
& ~ p104(X89)
& p4(X89)
& r1(X72,X89) )
| ~ sP49(X72) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP49])]) ).
fof(f58,plain,
! [X72] :
( ? [X88] :
( p102(X88)
& ~ p103(X88)
& ~ p3(X88)
& r1(X72,X88) )
| ~ sP50(X72) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP50])]) ).
fof(f59,plain,
! [X72] :
( ? [X87] :
( p102(X87)
& ~ p103(X87)
& p3(X87)
& r1(X72,X87) )
| ~ sP51(X72) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP51])]) ).
fof(f60,plain,
! [X72] :
( ? [X86] :
( p101(X86)
& ~ p102(X86)
& ~ p2(X86)
& r1(X72,X86) )
| ~ sP52(X72) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP52])]) ).
fof(f61,plain,
! [X72] :
( ? [X85] :
( p101(X85)
& ~ p102(X85)
& p2(X85)
& r1(X72,X85) )
| ~ sP53(X72) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP53])]) ).
fof(f62,plain,
! [X72] :
( ~ p104(X72)
| p105(X72)
| ( sP45(X72)
& sP44(X72) )
| ~ sP54(X72) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP54])]) ).
fof(f63,plain,
! [X72] :
( ~ p103(X72)
| p104(X72)
| ( sP47(X72)
& sP46(X72) )
| ~ sP55(X72) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP55])]) ).
fof(f64,plain,
! [X72] :
( ~ p102(X72)
| p103(X72)
| ( sP49(X72)
& sP48(X72) )
| ~ sP56(X72) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP56])]) ).
fof(f65,plain,
! [X72] :
( ~ p101(X72)
| p102(X72)
| ( sP51(X72)
& sP50(X72) )
| ~ sP57(X72) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP57])]) ).
fof(f66,plain,
! [X72] :
( ~ p100(X72)
| p101(X72)
| ( sP53(X72)
& sP52(X72) )
| ~ sP58(X72) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP58])]) ).
fof(f67,plain,
! [X72] :
( ~ p105(X72)
| ( ( ~ p6(X72)
| ! [X83] :
( ~ p105(X83)
| p6(X83)
| ~ r1(X72,X83) ) )
& ( p6(X72)
| ! [X84] :
( ~ p105(X84)
| ~ p6(X84)
| ~ r1(X72,X84) ) ) )
| ~ sP59(X72) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP59])]) ).
fof(f68,plain,
! [X72] :
( ~ p104(X72)
| ( ( ~ p5(X72)
| ! [X81] :
( ~ p104(X81)
| p5(X81)
| ~ r1(X72,X81) ) )
& ( p5(X72)
| ! [X82] :
( ~ p104(X82)
| ~ p5(X82)
| ~ r1(X72,X82) ) ) )
| ~ sP60(X72) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP60])]) ).
fof(f69,plain,
! [X72] :
( ~ p103(X72)
| ( ( ~ p4(X72)
| ! [X79] :
( ~ p103(X79)
| p4(X79)
| ~ r1(X72,X79) ) )
& ( p4(X72)
| ! [X80] :
( ~ p103(X80)
| ~ p4(X80)
| ~ r1(X72,X80) ) ) )
| ~ sP61(X72) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP61])]) ).
fof(f70,plain,
! [X72] :
( ~ p102(X72)
| ( ( ~ p3(X72)
| ! [X77] :
( ~ p102(X77)
| p3(X77)
| ~ r1(X72,X77) ) )
& ( p3(X72)
| ! [X78] :
( ~ p102(X78)
| ~ p3(X78)
| ~ r1(X72,X78) ) ) )
| ~ sP62(X72) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP62])]) ).
fof(f71,plain,
! [X72] :
( ~ p101(X72)
| ( ( ~ p2(X72)
| ! [X75] :
( ~ p101(X75)
| p2(X75)
| ~ r1(X72,X75) ) )
& ( p2(X72)
| ! [X76] :
( ~ p101(X76)
| ~ p2(X76)
| ~ r1(X72,X76) ) ) )
| ~ sP63(X72) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP63])]) ).
fof(f72,plain,
! [X72] :
( ~ p100(X72)
| ( ( ~ p1(X72)
| ! [X73] :
( ~ p100(X73)
| p1(X73)
| ~ r1(X72,X73) ) )
& ( p1(X72)
| ! [X74] :
( ~ p100(X74)
| ~ p1(X74)
| ~ r1(X72,X74) ) ) )
| ~ sP64(X72) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP64])]) ).
fof(f73,plain,
! [X72] :
( ( ( ~ p101(X72)
| p100(X72) )
& ( ~ p102(X72)
| p101(X72) )
& ( ~ p103(X72)
| p102(X72) )
& ( ~ p104(X72)
| p103(X72) )
& ( ~ p105(X72)
| p104(X72) )
& sP64(X72)
& sP63(X72)
& sP62(X72)
& sP61(X72)
& sP60(X72)
& sP59(X72)
& sP58(X72)
& sP57(X72)
& sP56(X72)
& sP55(X72)
& sP54(X72) )
| ~ sP65(X72) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP65])]) ).
fof(f74,plain,
! [X47] :
( ? [X69] :
( p105(X69)
& ~ p6(X69)
& r1(X47,X69) )
| ~ sP66(X47) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP66])]) ).
fof(f75,plain,
! [X47] :
( ? [X68] :
( p105(X68)
& p6(X68)
& r1(X47,X68) )
| ~ sP67(X47) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP67])]) ).
fof(f76,plain,
! [X47] :
( ? [X67] :
( p104(X67)
& ~ p105(X67)
& ~ p5(X67)
& r1(X47,X67) )
| ~ sP68(X47) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP68])]) ).
fof(f77,plain,
! [X47] :
( ? [X66] :
( p104(X66)
& ~ p105(X66)
& p5(X66)
& r1(X47,X66) )
| ~ sP69(X47) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP69])]) ).
fof(f78,plain,
! [X47] :
( ? [X65] :
( p103(X65)
& ~ p104(X65)
& ~ p4(X65)
& r1(X47,X65) )
| ~ sP70(X47) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP70])]) ).
fof(f79,plain,
! [X47] :
( ? [X64] :
( p103(X64)
& ~ p104(X64)
& p4(X64)
& r1(X47,X64) )
| ~ sP71(X47) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP71])]) ).
fof(f80,plain,
! [X47] :
( ? [X63] :
( p102(X63)
& ~ p103(X63)
& ~ p3(X63)
& r1(X47,X63) )
| ~ sP72(X47) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP72])]) ).
fof(f81,plain,
! [X47] :
( ? [X62] :
( p102(X62)
& ~ p103(X62)
& p3(X62)
& r1(X47,X62) )
| ~ sP73(X47) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP73])]) ).
fof(f82,plain,
! [X47] :
( ? [X61] :
( p101(X61)
& ~ p102(X61)
& ~ p2(X61)
& r1(X47,X61) )
| ~ sP74(X47) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP74])]) ).
fof(f83,plain,
! [X47] :
( ? [X60] :
( p101(X60)
& ~ p102(X60)
& p2(X60)
& r1(X47,X60) )
| ~ sP75(X47) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP75])]) ).
fof(f84,plain,
! [X47] :
( ~ p104(X47)
| p105(X47)
| ( sP67(X47)
& sP66(X47) )
| ~ sP76(X47) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP76])]) ).
fof(f85,plain,
! [X47] :
( ~ p103(X47)
| p104(X47)
| ( sP69(X47)
& sP68(X47) )
| ~ sP77(X47) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP77])]) ).
fof(f86,plain,
! [X47] :
( ~ p102(X47)
| p103(X47)
| ( sP71(X47)
& sP70(X47) )
| ~ sP78(X47) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP78])]) ).
fof(f87,plain,
! [X47] :
( ~ p101(X47)
| p102(X47)
| ( sP73(X47)
& sP72(X47) )
| ~ sP79(X47) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP79])]) ).
fof(f88,plain,
! [X47] :
( ~ p100(X47)
| p101(X47)
| ( sP75(X47)
& sP74(X47) )
| ~ sP80(X47) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP80])]) ).
fof(f89,plain,
! [X47] :
( ~ p105(X47)
| ( ( ~ p6(X47)
| ! [X58] :
( ~ p105(X58)
| p6(X58)
| ~ r1(X47,X58) ) )
& ( p6(X47)
| ! [X59] :
( ~ p105(X59)
| ~ p6(X59)
| ~ r1(X47,X59) ) ) )
| ~ sP81(X47) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP81])]) ).
fof(f90,plain,
! [X47] :
( ~ p104(X47)
| ( ( ~ p5(X47)
| ! [X56] :
( ~ p104(X56)
| p5(X56)
| ~ r1(X47,X56) ) )
& ( p5(X47)
| ! [X57] :
( ~ p104(X57)
| ~ p5(X57)
| ~ r1(X47,X57) ) ) )
| ~ sP82(X47) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP82])]) ).
fof(f91,plain,
! [X47] :
( ~ p103(X47)
| ( ( ~ p4(X47)
| ! [X54] :
( ~ p103(X54)
| p4(X54)
| ~ r1(X47,X54) ) )
& ( p4(X47)
| ! [X55] :
( ~ p103(X55)
| ~ p4(X55)
| ~ r1(X47,X55) ) ) )
| ~ sP83(X47) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP83])]) ).
fof(f92,plain,
! [X47] :
( ~ p102(X47)
| ( ( ~ p3(X47)
| ! [X52] :
( ~ p102(X52)
| p3(X52)
| ~ r1(X47,X52) ) )
& ( p3(X47)
| ! [X53] :
( ~ p102(X53)
| ~ p3(X53)
| ~ r1(X47,X53) ) ) )
| ~ sP84(X47) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP84])]) ).
fof(f93,plain,
! [X47] :
( ~ p101(X47)
| ( ( ~ p2(X47)
| ! [X50] :
( ~ p101(X50)
| p2(X50)
| ~ r1(X47,X50) ) )
& ( p2(X47)
| ! [X51] :
( ~ p101(X51)
| ~ p2(X51)
| ~ r1(X47,X51) ) ) )
| ~ sP85(X47) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP85])]) ).
fof(f94,plain,
! [X47] :
( ~ p100(X47)
| ( ( ~ p1(X47)
| ! [X48] :
( ~ p100(X48)
| p1(X48)
| ~ r1(X47,X48) ) )
& ( p1(X47)
| ! [X49] :
( ~ p100(X49)
| ~ p1(X49)
| ~ r1(X47,X49) ) ) )
| ~ sP86(X47) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP86])]) ).
fof(f95,plain,
! [X47] :
( ( ( ~ p101(X47)
| p100(X47) )
& ( ~ p102(X47)
| p101(X47) )
& ( ~ p103(X47)
| p102(X47) )
& ( ~ p104(X47)
| p103(X47) )
& ( ~ p105(X47)
| p104(X47) )
& sP86(X47)
& sP85(X47)
& sP84(X47)
& sP83(X47)
& sP82(X47)
& sP81(X47)
& sP80(X47)
& sP79(X47)
& sP78(X47)
& sP77(X47)
& sP76(X47) )
| ~ sP87(X47) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP87])]) ).
fof(f96,plain,
! [X23] :
( ? [X45] :
( p105(X45)
& ~ p6(X45)
& r1(X23,X45) )
| ~ sP88(X23) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP88])]) ).
fof(f97,plain,
! [X23] :
( ? [X44] :
( p105(X44)
& p6(X44)
& r1(X23,X44) )
| ~ sP89(X23) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP89])]) ).
fof(f98,plain,
! [X23] :
( ? [X43] :
( p104(X43)
& ~ p105(X43)
& ~ p5(X43)
& r1(X23,X43) )
| ~ sP90(X23) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP90])]) ).
fof(f99,plain,
! [X23] :
( ? [X42] :
( p104(X42)
& ~ p105(X42)
& p5(X42)
& r1(X23,X42) )
| ~ sP91(X23) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP91])]) ).
fof(f100,plain,
! [X23] :
( ? [X41] :
( p103(X41)
& ~ p104(X41)
& ~ p4(X41)
& r1(X23,X41) )
| ~ sP92(X23) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP92])]) ).
fof(f101,plain,
! [X23] :
( ? [X40] :
( p103(X40)
& ~ p104(X40)
& p4(X40)
& r1(X23,X40) )
| ~ sP93(X23) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP93])]) ).
fof(f102,plain,
! [X23] :
( ? [X39] :
( p102(X39)
& ~ p103(X39)
& ~ p3(X39)
& r1(X23,X39) )
| ~ sP94(X23) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP94])]) ).
fof(f103,plain,
! [X23] :
( ? [X38] :
( p102(X38)
& ~ p103(X38)
& p3(X38)
& r1(X23,X38) )
| ~ sP95(X23) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP95])]) ).
fof(f104,plain,
! [X23] :
( ? [X37] :
( p101(X37)
& ~ p102(X37)
& ~ p2(X37)
& r1(X23,X37) )
| ~ sP96(X23) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP96])]) ).
fof(f105,plain,
! [X23] :
( ? [X36] :
( p101(X36)
& ~ p102(X36)
& p2(X36)
& r1(X23,X36) )
| ~ sP97(X23) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP97])]) ).
fof(f106,plain,
! [X23] :
( ~ p104(X23)
| p105(X23)
| ( sP89(X23)
& sP88(X23) )
| ~ sP98(X23) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP98])]) ).
fof(f107,plain,
! [X23] :
( ~ p103(X23)
| p104(X23)
| ( sP91(X23)
& sP90(X23) )
| ~ sP99(X23) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP99])]) ).
fof(f108,plain,
! [X23] :
( ~ p102(X23)
| p103(X23)
| ( sP93(X23)
& sP92(X23) )
| ~ sP100(X23) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP100])]) ).
fof(f109,plain,
! [X23] :
( ~ p101(X23)
| p102(X23)
| ( sP95(X23)
& sP94(X23) )
| ~ sP101(X23) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP101])]) ).
fof(f110,plain,
! [X23] :
( ~ p100(X23)
| p101(X23)
| ( sP97(X23)
& sP96(X23) )
| ~ sP102(X23) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP102])]) ).
fof(f111,plain,
! [X23] :
( ~ p105(X23)
| ( ( ~ p6(X23)
| ! [X34] :
( ~ p105(X34)
| p6(X34)
| ~ r1(X23,X34) ) )
& ( p6(X23)
| ! [X35] :
( ~ p105(X35)
| ~ p6(X35)
| ~ r1(X23,X35) ) ) )
| ~ sP103(X23) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP103])]) ).
fof(f112,plain,
! [X23] :
( ~ p104(X23)
| ( ( ~ p5(X23)
| ! [X32] :
( ~ p104(X32)
| p5(X32)
| ~ r1(X23,X32) ) )
& ( p5(X23)
| ! [X33] :
( ~ p104(X33)
| ~ p5(X33)
| ~ r1(X23,X33) ) ) )
| ~ sP104(X23) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP104])]) ).
fof(f113,plain,
! [X23] :
( ~ p103(X23)
| ( ( ~ p4(X23)
| ! [X30] :
( ~ p103(X30)
| p4(X30)
| ~ r1(X23,X30) ) )
& ( p4(X23)
| ! [X31] :
( ~ p103(X31)
| ~ p4(X31)
| ~ r1(X23,X31) ) ) )
| ~ sP105(X23) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP105])]) ).
fof(f114,plain,
! [X23] :
( ~ p102(X23)
| ( ( ~ p3(X23)
| ! [X28] :
( ~ p102(X28)
| p3(X28)
| ~ r1(X23,X28) ) )
& ( p3(X23)
| ! [X29] :
( ~ p102(X29)
| ~ p3(X29)
| ~ r1(X23,X29) ) ) )
| ~ sP106(X23) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP106])]) ).
fof(f115,plain,
! [X23] :
( ~ p101(X23)
| ( ( ~ p2(X23)
| ! [X26] :
( ~ p101(X26)
| p2(X26)
| ~ r1(X23,X26) ) )
& ( p2(X23)
| ! [X27] :
( ~ p101(X27)
| ~ p2(X27)
| ~ r1(X23,X27) ) ) )
| ~ sP107(X23) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP107])]) ).
fof(f116,plain,
! [X23] :
( ~ p100(X23)
| ( ( ~ p1(X23)
| ! [X24] :
( ~ p100(X24)
| p1(X24)
| ~ r1(X23,X24) ) )
& ( p1(X23)
| ! [X25] :
( ~ p100(X25)
| ~ p1(X25)
| ~ r1(X23,X25) ) ) )
| ~ sP108(X23) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP108])]) ).
fof(f117,plain,
! [X23] :
( ( ( ~ p101(X23)
| p100(X23) )
& ( ~ p102(X23)
| p101(X23) )
& ( ~ p103(X23)
| p102(X23) )
& ( ~ p104(X23)
| p103(X23) )
& ( ~ p105(X23)
| p104(X23) )
& sP108(X23)
& sP107(X23)
& sP106(X23)
& sP105(X23)
& sP104(X23)
& sP103(X23)
& sP102(X23)
& sP101(X23)
& sP100(X23)
& sP99(X23)
& sP98(X23) )
| ~ sP109(X23) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP109])]) ).
fof(f118,plain,
! [X0] :
( ? [X22] :
( p105(X22)
& ~ p6(X22)
& r1(X0,X22) )
| ~ sP110(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP110])]) ).
fof(f119,plain,
! [X0] :
( ? [X21] :
( p105(X21)
& p6(X21)
& r1(X0,X21) )
| ~ sP111(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP111])]) ).
fof(f120,plain,
! [X0] :
( ? [X20] :
( p104(X20)
& ~ p105(X20)
& ~ p5(X20)
& r1(X0,X20) )
| ~ sP112(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP112])]) ).
fof(f121,plain,
! [X0] :
( ? [X19] :
( p104(X19)
& ~ p105(X19)
& p5(X19)
& r1(X0,X19) )
| ~ sP113(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP113])]) ).
fof(f122,plain,
! [X0] :
( ? [X18] :
( p103(X18)
& ~ p104(X18)
& ~ p4(X18)
& r1(X0,X18) )
| ~ sP114(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP114])]) ).
fof(f123,plain,
! [X0] :
( ? [X17] :
( p103(X17)
& ~ p104(X17)
& p4(X17)
& r1(X0,X17) )
| ~ sP115(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP115])]) ).
fof(f124,plain,
! [X0] :
( ? [X16] :
( p102(X16)
& ~ p103(X16)
& ~ p3(X16)
& r1(X0,X16) )
| ~ sP116(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP116])]) ).
fof(f125,plain,
! [X0] :
( ? [X15] :
( p102(X15)
& ~ p103(X15)
& p3(X15)
& r1(X0,X15) )
| ~ sP117(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP117])]) ).
fof(f126,plain,
! [X0] :
( ? [X14] :
( p101(X14)
& ~ p102(X14)
& ~ p2(X14)
& r1(X0,X14) )
| ~ sP118(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP118])]) ).
fof(f127,plain,
! [X0] :
( ? [X13] :
( p101(X13)
& ~ p102(X13)
& p2(X13)
& r1(X0,X13) )
| ~ sP119(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP119])]) ).
fof(f7,plain,
? [X0] :
( p100(X0)
& ~ p101(X0)
& ( ~ p101(X0)
| p100(X0) )
& ( ~ p102(X0)
| p101(X0) )
& ( ~ p103(X0)
| p102(X0) )
& ( ~ p104(X0)
| p103(X0) )
& ( ~ p105(X0)
| p104(X0) )
& ( ~ p100(X0)
| ( ( ~ p1(X0)
| ! [X1] :
( ~ p100(X1)
| p1(X1)
| ~ r1(X0,X1) ) )
& ( p1(X0)
| ! [X2] :
( ~ p100(X2)
| ~ p1(X2)
| ~ r1(X0,X2) ) ) ) )
& ( ~ p101(X0)
| ( ( ~ p2(X0)
| ! [X3] :
( ~ p101(X3)
| p2(X3)
| ~ r1(X0,X3) ) )
& ( p2(X0)
| ! [X4] :
( ~ p101(X4)
| ~ p2(X4)
| ~ r1(X0,X4) ) ) ) )
& ( ~ p102(X0)
| ( ( ~ p3(X0)
| ! [X5] :
( ~ p102(X5)
| p3(X5)
| ~ r1(X0,X5) ) )
& ( p3(X0)
| ! [X6] :
( ~ p102(X6)
| ~ p3(X6)
| ~ r1(X0,X6) ) ) ) )
& ( ~ p103(X0)
| ( ( ~ p4(X0)
| ! [X7] :
( ~ p103(X7)
| p4(X7)
| ~ r1(X0,X7) ) )
& ( p4(X0)
| ! [X8] :
( ~ p103(X8)
| ~ p4(X8)
| ~ r1(X0,X8) ) ) ) )
& ( ~ p104(X0)
| ( ( ~ p5(X0)
| ! [X9] :
( ~ p104(X9)
| p5(X9)
| ~ r1(X0,X9) ) )
& ( p5(X0)
| ! [X10] :
( ~ p104(X10)
| ~ p5(X10)
| ~ r1(X0,X10) ) ) ) )
& ( ~ p105(X0)
| ( ( ~ p6(X0)
| ! [X11] :
( ~ p105(X11)
| p6(X11)
| ~ r1(X0,X11) ) )
& ( p6(X0)
| ! [X12] :
( ~ p105(X12)
| ~ p6(X12)
| ~ r1(X0,X12) ) ) ) )
& ( ~ p100(X0)
| p101(X0)
| ( ? [X13] :
( p101(X13)
& ~ p102(X13)
& p2(X13)
& r1(X0,X13) )
& ? [X14] :
( p101(X14)
& ~ p102(X14)
& ~ p2(X14)
& r1(X0,X14) ) ) )
& ( ~ p101(X0)
| p102(X0)
| ( ? [X15] :
( p102(X15)
& ~ p103(X15)
& p3(X15)
& r1(X0,X15) )
& ? [X16] :
( p102(X16)
& ~ p103(X16)
& ~ p3(X16)
& r1(X0,X16) ) ) )
& ( ~ p102(X0)
| p103(X0)
| ( ? [X17] :
( p103(X17)
& ~ p104(X17)
& p4(X17)
& r1(X0,X17) )
& ? [X18] :
( p103(X18)
& ~ p104(X18)
& ~ p4(X18)
& r1(X0,X18) ) ) )
& ( ~ p103(X0)
| p104(X0)
| ( ? [X19] :
( p104(X19)
& ~ p105(X19)
& p5(X19)
& r1(X0,X19) )
& ? [X20] :
( p104(X20)
& ~ p105(X20)
& ~ p5(X20)
& r1(X0,X20) ) ) )
& ( ~ p104(X0)
| p105(X0)
| ( ? [X21] :
( p105(X21)
& p6(X21)
& r1(X0,X21) )
& ? [X22] :
( p105(X22)
& ~ p6(X22)
& r1(X0,X22) ) ) )
& ! [X23] :
( ( ( ~ p101(X23)
| p100(X23) )
& ( ~ p102(X23)
| p101(X23) )
& ( ~ p103(X23)
| p102(X23) )
& ( ~ p104(X23)
| p103(X23) )
& ( ~ p105(X23)
| p104(X23) )
& ( ~ p100(X23)
| ( ( ~ p1(X23)
| ! [X24] :
( ~ p100(X24)
| p1(X24)
| ~ r1(X23,X24) ) )
& ( p1(X23)
| ! [X25] :
( ~ p100(X25)
| ~ p1(X25)
| ~ r1(X23,X25) ) ) ) )
& ( ~ p101(X23)
| ( ( ~ p2(X23)
| ! [X26] :
( ~ p101(X26)
| p2(X26)
| ~ r1(X23,X26) ) )
& ( p2(X23)
| ! [X27] :
( ~ p101(X27)
| ~ p2(X27)
| ~ r1(X23,X27) ) ) ) )
& ( ~ p102(X23)
| ( ( ~ p3(X23)
| ! [X28] :
( ~ p102(X28)
| p3(X28)
| ~ r1(X23,X28) ) )
& ( p3(X23)
| ! [X29] :
( ~ p102(X29)
| ~ p3(X29)
| ~ r1(X23,X29) ) ) ) )
& ( ~ p103(X23)
| ( ( ~ p4(X23)
| ! [X30] :
( ~ p103(X30)
| p4(X30)
| ~ r1(X23,X30) ) )
& ( p4(X23)
| ! [X31] :
( ~ p103(X31)
| ~ p4(X31)
| ~ r1(X23,X31) ) ) ) )
& ( ~ p104(X23)
| ( ( ~ p5(X23)
| ! [X32] :
( ~ p104(X32)
| p5(X32)
| ~ r1(X23,X32) ) )
& ( p5(X23)
| ! [X33] :
( ~ p104(X33)
| ~ p5(X33)
| ~ r1(X23,X33) ) ) ) )
& ( ~ p105(X23)
| ( ( ~ p6(X23)
| ! [X34] :
( ~ p105(X34)
| p6(X34)
| ~ r1(X23,X34) ) )
& ( p6(X23)
| ! [X35] :
( ~ p105(X35)
| ~ p6(X35)
| ~ r1(X23,X35) ) ) ) )
& ( ~ p100(X23)
| p101(X23)
| ( ? [X36] :
( p101(X36)
& ~ p102(X36)
& p2(X36)
& r1(X23,X36) )
& ? [X37] :
( p101(X37)
& ~ p102(X37)
& ~ p2(X37)
& r1(X23,X37) ) ) )
& ( ~ p101(X23)
| p102(X23)
| ( ? [X38] :
( p102(X38)
& ~ p103(X38)
& p3(X38)
& r1(X23,X38) )
& ? [X39] :
( p102(X39)
& ~ p103(X39)
& ~ p3(X39)
& r1(X23,X39) ) ) )
& ( ~ p102(X23)
| p103(X23)
| ( ? [X40] :
( p103(X40)
& ~ p104(X40)
& p4(X40)
& r1(X23,X40) )
& ? [X41] :
( p103(X41)
& ~ p104(X41)
& ~ p4(X41)
& r1(X23,X41) ) ) )
& ( ~ p103(X23)
| p104(X23)
| ( ? [X42] :
( p104(X42)
& ~ p105(X42)
& p5(X42)
& r1(X23,X42) )
& ? [X43] :
( p104(X43)
& ~ p105(X43)
& ~ p5(X43)
& r1(X23,X43) ) ) )
& ( ~ p104(X23)
| p105(X23)
| ( ? [X44] :
( p105(X44)
& p6(X44)
& r1(X23,X44) )
& ? [X45] :
( p105(X45)
& ~ p6(X45)
& r1(X23,X45) ) ) ) )
| ~ r1(X0,X23) )
& ! [X46] :
( ! [X47] :
( ( ( ~ p101(X47)
| p100(X47) )
& ( ~ p102(X47)
| p101(X47) )
& ( ~ p103(X47)
| p102(X47) )
& ( ~ p104(X47)
| p103(X47) )
& ( ~ p105(X47)
| p104(X47) )
& ( ~ p100(X47)
| ( ( ~ p1(X47)
| ! [X48] :
( ~ p100(X48)
| p1(X48)
| ~ r1(X47,X48) ) )
& ( p1(X47)
| ! [X49] :
( ~ p100(X49)
| ~ p1(X49)
| ~ r1(X47,X49) ) ) ) )
& ( ~ p101(X47)
| ( ( ~ p2(X47)
| ! [X50] :
( ~ p101(X50)
| p2(X50)
| ~ r1(X47,X50) ) )
& ( p2(X47)
| ! [X51] :
( ~ p101(X51)
| ~ p2(X51)
| ~ r1(X47,X51) ) ) ) )
& ( ~ p102(X47)
| ( ( ~ p3(X47)
| ! [X52] :
( ~ p102(X52)
| p3(X52)
| ~ r1(X47,X52) ) )
& ( p3(X47)
| ! [X53] :
( ~ p102(X53)
| ~ p3(X53)
| ~ r1(X47,X53) ) ) ) )
& ( ~ p103(X47)
| ( ( ~ p4(X47)
| ! [X54] :
( ~ p103(X54)
| p4(X54)
| ~ r1(X47,X54) ) )
& ( p4(X47)
| ! [X55] :
( ~ p103(X55)
| ~ p4(X55)
| ~ r1(X47,X55) ) ) ) )
& ( ~ p104(X47)
| ( ( ~ p5(X47)
| ! [X56] :
( ~ p104(X56)
| p5(X56)
| ~ r1(X47,X56) ) )
& ( p5(X47)
| ! [X57] :
( ~ p104(X57)
| ~ p5(X57)
| ~ r1(X47,X57) ) ) ) )
& ( ~ p105(X47)
| ( ( ~ p6(X47)
| ! [X58] :
( ~ p105(X58)
| p6(X58)
| ~ r1(X47,X58) ) )
& ( p6(X47)
| ! [X59] :
( ~ p105(X59)
| ~ p6(X59)
| ~ r1(X47,X59) ) ) ) )
& ( ~ p100(X47)
| p101(X47)
| ( ? [X60] :
( p101(X60)
& ~ p102(X60)
& p2(X60)
& r1(X47,X60) )
& ? [X61] :
( p101(X61)
& ~ p102(X61)
& ~ p2(X61)
& r1(X47,X61) ) ) )
& ( ~ p101(X47)
| p102(X47)
| ( ? [X62] :
( p102(X62)
& ~ p103(X62)
& p3(X62)
& r1(X47,X62) )
& ? [X63] :
( p102(X63)
& ~ p103(X63)
& ~ p3(X63)
& r1(X47,X63) ) ) )
& ( ~ p102(X47)
| p103(X47)
| ( ? [X64] :
( p103(X64)
& ~ p104(X64)
& p4(X64)
& r1(X47,X64) )
& ? [X65] :
( p103(X65)
& ~ p104(X65)
& ~ p4(X65)
& r1(X47,X65) ) ) )
& ( ~ p103(X47)
| p104(X47)
| ( ? [X66] :
( p104(X66)
& ~ p105(X66)
& p5(X66)
& r1(X47,X66) )
& ? [X67] :
( p104(X67)
& ~ p105(X67)
& ~ p5(X67)
& r1(X47,X67) ) ) )
& ( ~ p104(X47)
| p105(X47)
| ( ? [X68] :
( p105(X68)
& p6(X68)
& r1(X47,X68) )
& ? [X69] :
( p105(X69)
& ~ p6(X69)
& r1(X47,X69) ) ) ) )
| ~ r1(X46,X47) )
| ~ r1(X0,X46) )
& ! [X70] :
( ! [X71] :
( ! [X72] :
( ( ( ~ p101(X72)
| p100(X72) )
& ( ~ p102(X72)
| p101(X72) )
& ( ~ p103(X72)
| p102(X72) )
& ( ~ p104(X72)
| p103(X72) )
& ( ~ p105(X72)
| p104(X72) )
& ( ~ p100(X72)
| ( ( ~ p1(X72)
| ! [X73] :
( ~ p100(X73)
| p1(X73)
| ~ r1(X72,X73) ) )
& ( p1(X72)
| ! [X74] :
( ~ p100(X74)
| ~ p1(X74)
| ~ r1(X72,X74) ) ) ) )
& ( ~ p101(X72)
| ( ( ~ p2(X72)
| ! [X75] :
( ~ p101(X75)
| p2(X75)
| ~ r1(X72,X75) ) )
& ( p2(X72)
| ! [X76] :
( ~ p101(X76)
| ~ p2(X76)
| ~ r1(X72,X76) ) ) ) )
& ( ~ p102(X72)
| ( ( ~ p3(X72)
| ! [X77] :
( ~ p102(X77)
| p3(X77)
| ~ r1(X72,X77) ) )
& ( p3(X72)
| ! [X78] :
( ~ p102(X78)
| ~ p3(X78)
| ~ r1(X72,X78) ) ) ) )
& ( ~ p103(X72)
| ( ( ~ p4(X72)
| ! [X79] :
( ~ p103(X79)
| p4(X79)
| ~ r1(X72,X79) ) )
& ( p4(X72)
| ! [X80] :
( ~ p103(X80)
| ~ p4(X80)
| ~ r1(X72,X80) ) ) ) )
& ( ~ p104(X72)
| ( ( ~ p5(X72)
| ! [X81] :
( ~ p104(X81)
| p5(X81)
| ~ r1(X72,X81) ) )
& ( p5(X72)
| ! [X82] :
( ~ p104(X82)
| ~ p5(X82)
| ~ r1(X72,X82) ) ) ) )
& ( ~ p105(X72)
| ( ( ~ p6(X72)
| ! [X83] :
( ~ p105(X83)
| p6(X83)
| ~ r1(X72,X83) ) )
& ( p6(X72)
| ! [X84] :
( ~ p105(X84)
| ~ p6(X84)
| ~ r1(X72,X84) ) ) ) )
& ( ~ p100(X72)
| p101(X72)
| ( ? [X85] :
( p101(X85)
& ~ p102(X85)
& p2(X85)
& r1(X72,X85) )
& ? [X86] :
( p101(X86)
& ~ p102(X86)
& ~ p2(X86)
& r1(X72,X86) ) ) )
& ( ~ p101(X72)
| p102(X72)
| ( ? [X87] :
( p102(X87)
& ~ p103(X87)
& p3(X87)
& r1(X72,X87) )
& ? [X88] :
( p102(X88)
& ~ p103(X88)
& ~ p3(X88)
& r1(X72,X88) ) ) )
& ( ~ p102(X72)
| p103(X72)
| ( ? [X89] :
( p103(X89)
& ~ p104(X89)
& p4(X89)
& r1(X72,X89) )
& ? [X90] :
( p103(X90)
& ~ p104(X90)
& ~ p4(X90)
& r1(X72,X90) ) ) )
& ( ~ p103(X72)
| p104(X72)
| ( ? [X91] :
( p104(X91)
& ~ p105(X91)
& p5(X91)
& r1(X72,X91) )
& ? [X92] :
( p104(X92)
& ~ p105(X92)
& ~ p5(X92)
& r1(X72,X92) ) ) )
& ( ~ p104(X72)
| p105(X72)
| ( ? [X93] :
( p105(X93)
& p6(X93)
& r1(X72,X93) )
& ? [X94] :
( p105(X94)
& ~ p6(X94)
& r1(X72,X94) ) ) ) )
| ~ r1(X71,X72) )
| ~ r1(X70,X71) )
| ~ r1(X0,X70) )
& ! [X95] :
( ! [X96] :
( ! [X97] :
( ! [X98] :
( ( ( ~ p101(X98)
| p100(X98) )
& ( ~ p102(X98)
| p101(X98) )
& ( ~ p103(X98)
| p102(X98) )
& ( ~ p104(X98)
| p103(X98) )
& ( ~ p105(X98)
| p104(X98) )
& ( ~ p100(X98)
| ( ( ~ p1(X98)
| ! [X99] :
( ~ p100(X99)
| p1(X99)
| ~ r1(X98,X99) ) )
& ( p1(X98)
| ! [X100] :
( ~ p100(X100)
| ~ p1(X100)
| ~ r1(X98,X100) ) ) ) )
& ( ~ p101(X98)
| ( ( ~ p2(X98)
| ! [X101] :
( ~ p101(X101)
| p2(X101)
| ~ r1(X98,X101) ) )
& ( p2(X98)
| ! [X102] :
( ~ p101(X102)
| ~ p2(X102)
| ~ r1(X98,X102) ) ) ) )
& ( ~ p102(X98)
| ( ( ~ p3(X98)
| ! [X103] :
( ~ p102(X103)
| p3(X103)
| ~ r1(X98,X103) ) )
& ( p3(X98)
| ! [X104] :
( ~ p102(X104)
| ~ p3(X104)
| ~ r1(X98,X104) ) ) ) )
& ( ~ p103(X98)
| ( ( ~ p4(X98)
| ! [X105] :
( ~ p103(X105)
| p4(X105)
| ~ r1(X98,X105) ) )
& ( p4(X98)
| ! [X106] :
( ~ p103(X106)
| ~ p4(X106)
| ~ r1(X98,X106) ) ) ) )
& ( ~ p104(X98)
| ( ( ~ p5(X98)
| ! [X107] :
( ~ p104(X107)
| p5(X107)
| ~ r1(X98,X107) ) )
& ( p5(X98)
| ! [X108] :
( ~ p104(X108)
| ~ p5(X108)
| ~ r1(X98,X108) ) ) ) )
& ( ~ p105(X98)
| ( ( ~ p6(X98)
| ! [X109] :
( ~ p105(X109)
| p6(X109)
| ~ r1(X98,X109) ) )
& ( p6(X98)
| ! [X110] :
( ~ p105(X110)
| ~ p6(X110)
| ~ r1(X98,X110) ) ) ) )
& ( ~ p100(X98)
| p101(X98)
| ( ? [X111] :
( p101(X111)
& ~ p102(X111)
& p2(X111)
& r1(X98,X111) )
& ? [X112] :
( p101(X112)
& ~ p102(X112)
& ~ p2(X112)
& r1(X98,X112) ) ) )
& ( ~ p101(X98)
| p102(X98)
| ( ? [X113] :
( p102(X113)
& ~ p103(X113)
& p3(X113)
& r1(X98,X113) )
& ? [X114] :
( p102(X114)
& ~ p103(X114)
& ~ p3(X114)
& r1(X98,X114) ) ) )
& ( ~ p102(X98)
| p103(X98)
| ( ? [X115] :
( p103(X115)
& ~ p104(X115)
& p4(X115)
& r1(X98,X115) )
& ? [X116] :
( p103(X116)
& ~ p104(X116)
& ~ p4(X116)
& r1(X98,X116) ) ) )
& ( ~ p103(X98)
| p104(X98)
| ( ? [X117] :
( p104(X117)
& ~ p105(X117)
& p5(X117)
& r1(X98,X117) )
& ? [X118] :
( p104(X118)
& ~ p105(X118)
& ~ p5(X118)
& r1(X98,X118) ) ) )
& ( ~ p104(X98)
| p105(X98)
| ( ? [X119] :
( p105(X119)
& p6(X119)
& r1(X98,X119) )
& ? [X120] :
( p105(X120)
& ~ p6(X120)
& r1(X98,X120) ) ) ) )
| ~ r1(X97,X98) )
| ~ r1(X96,X97) )
| ~ r1(X95,X96) )
| ~ r1(X0,X95) )
& ! [X121] :
( ! [X122] :
( ! [X123] :
( ! [X124] :
( ! [X125] :
( ( ( ~ p101(X125)
| p100(X125) )
& ( ~ p102(X125)
| p101(X125) )
& ( ~ p103(X125)
| p102(X125) )
& ( ~ p104(X125)
| p103(X125) )
& ( ~ p105(X125)
| p104(X125) )
& ( ~ p100(X125)
| ( ( ~ p1(X125)
| ! [X126] :
( ~ p100(X126)
| p1(X126)
| ~ r1(X125,X126) ) )
& ( p1(X125)
| ! [X127] :
( ~ p100(X127)
| ~ p1(X127)
| ~ r1(X125,X127) ) ) ) )
& ( ~ p101(X125)
| ( ( ~ p2(X125)
| ! [X128] :
( ~ p101(X128)
| p2(X128)
| ~ r1(X125,X128) ) )
& ( p2(X125)
| ! [X129] :
( ~ p101(X129)
| ~ p2(X129)
| ~ r1(X125,X129) ) ) ) )
& ( ~ p102(X125)
| ( ( ~ p3(X125)
| ! [X130] :
( ~ p102(X130)
| p3(X130)
| ~ r1(X125,X130) ) )
& ( p3(X125)
| ! [X131] :
( ~ p102(X131)
| ~ p3(X131)
| ~ r1(X125,X131) ) ) ) )
& ( ~ p103(X125)
| ( ( ~ p4(X125)
| ! [X132] :
( ~ p103(X132)
| p4(X132)
| ~ r1(X125,X132) ) )
& ( p4(X125)
| ! [X133] :
( ~ p103(X133)
| ~ p4(X133)
| ~ r1(X125,X133) ) ) ) )
& ( ~ p104(X125)
| ( ( ~ p5(X125)
| ! [X134] :
( ~ p104(X134)
| p5(X134)
| ~ r1(X125,X134) ) )
& ( p5(X125)
| ! [X135] :
( ~ p104(X135)
| ~ p5(X135)
| ~ r1(X125,X135) ) ) ) )
& ( ~ p105(X125)
| ( ( ~ p6(X125)
| ! [X136] :
( ~ p105(X136)
| p6(X136)
| ~ r1(X125,X136) ) )
& ( p6(X125)
| ! [X137] :
( ~ p105(X137)
| ~ p6(X137)
| ~ r1(X125,X137) ) ) ) )
& ( ~ p100(X125)
| p101(X125)
| ( ? [X138] :
( p101(X138)
& ~ p102(X138)
& p2(X138)
& r1(X125,X138) )
& ? [X139] :
( p101(X139)
& ~ p102(X139)
& ~ p2(X139)
& r1(X125,X139) ) ) )
& ( ~ p101(X125)
| p102(X125)
| ( ? [X140] :
( p102(X140)
& ~ p103(X140)
& p3(X140)
& r1(X125,X140) )
& ? [X141] :
( p102(X141)
& ~ p103(X141)
& ~ p3(X141)
& r1(X125,X141) ) ) )
& ( ~ p102(X125)
| p103(X125)
| ( ? [X142] :
( p103(X142)
& ~ p104(X142)
& p4(X142)
& r1(X125,X142) )
& ? [X143] :
( p103(X143)
& ~ p104(X143)
& ~ p4(X143)
& r1(X125,X143) ) ) )
& ( ~ p103(X125)
| p104(X125)
| ( ? [X144] :
( p104(X144)
& ~ p105(X144)
& p5(X144)
& r1(X125,X144) )
& ? [X145] :
( p104(X145)
& ~ p105(X145)
& ~ p5(X145)
& r1(X125,X145) ) ) )
& ( ~ p104(X125)
| p105(X125)
| ( ? [X146] :
( p105(X146)
& p6(X146)
& r1(X125,X146) )
& ? [X147] :
( p105(X147)
& ~ p6(X147)
& r1(X125,X147) ) ) ) )
| ~ r1(X124,X125) )
| ~ r1(X123,X124) )
| ~ r1(X122,X123) )
| ~ r1(X121,X122) )
| ~ r1(X0,X121) )
& ! [X148] :
( ! [X149] :
( ! [X150] :
( ! [X151] :
( ! [X152] :
( p3(X152)
| ~ r1(X151,X152) )
| ~ r1(X150,X151) )
| ~ r1(X149,X150) )
| ~ r1(X148,X149) )
| ~ r1(X0,X148) ) ),
inference(flattening,[],[f6]) ).
fof(f6,plain,
? [X0] :
( p100(X0)
& ~ p101(X0)
& ( ~ p101(X0)
| p100(X0) )
& ( ~ p102(X0)
| p101(X0) )
& ( ~ p103(X0)
| p102(X0) )
& ( ~ p104(X0)
| p103(X0) )
& ( ~ p105(X0)
| p104(X0) )
& ( ~ p100(X0)
| ( ( ~ p1(X0)
| ! [X1] :
( ~ p100(X1)
| p1(X1)
| ~ r1(X0,X1) ) )
& ( p1(X0)
| ! [X2] :
( ~ p100(X2)
| ~ p1(X2)
| ~ r1(X0,X2) ) ) ) )
& ( ~ p101(X0)
| ( ( ~ p2(X0)
| ! [X3] :
( ~ p101(X3)
| p2(X3)
| ~ r1(X0,X3) ) )
& ( p2(X0)
| ! [X4] :
( ~ p101(X4)
| ~ p2(X4)
| ~ r1(X0,X4) ) ) ) )
& ( ~ p102(X0)
| ( ( ~ p3(X0)
| ! [X5] :
( ~ p102(X5)
| p3(X5)
| ~ r1(X0,X5) ) )
& ( p3(X0)
| ! [X6] :
( ~ p102(X6)
| ~ p3(X6)
| ~ r1(X0,X6) ) ) ) )
& ( ~ p103(X0)
| ( ( ~ p4(X0)
| ! [X7] :
( ~ p103(X7)
| p4(X7)
| ~ r1(X0,X7) ) )
& ( p4(X0)
| ! [X8] :
( ~ p103(X8)
| ~ p4(X8)
| ~ r1(X0,X8) ) ) ) )
& ( ~ p104(X0)
| ( ( ~ p5(X0)
| ! [X9] :
( ~ p104(X9)
| p5(X9)
| ~ r1(X0,X9) ) )
& ( p5(X0)
| ! [X10] :
( ~ p104(X10)
| ~ p5(X10)
| ~ r1(X0,X10) ) ) ) )
& ( ~ p105(X0)
| ( ( ~ p6(X0)
| ! [X11] :
( ~ p105(X11)
| p6(X11)
| ~ r1(X0,X11) ) )
& ( p6(X0)
| ! [X12] :
( ~ p105(X12)
| ~ p6(X12)
| ~ r1(X0,X12) ) ) ) )
& ( ~ p100(X0)
| p101(X0)
| ( ? [X13] :
( p101(X13)
& ~ p102(X13)
& p2(X13)
& r1(X0,X13) )
& ? [X14] :
( p101(X14)
& ~ p102(X14)
& ~ p2(X14)
& r1(X0,X14) ) ) )
& ( ~ p101(X0)
| p102(X0)
| ( ? [X15] :
( p102(X15)
& ~ p103(X15)
& p3(X15)
& r1(X0,X15) )
& ? [X16] :
( p102(X16)
& ~ p103(X16)
& ~ p3(X16)
& r1(X0,X16) ) ) )
& ( ~ p102(X0)
| p103(X0)
| ( ? [X17] :
( p103(X17)
& ~ p104(X17)
& p4(X17)
& r1(X0,X17) )
& ? [X18] :
( p103(X18)
& ~ p104(X18)
& ~ p4(X18)
& r1(X0,X18) ) ) )
& ( ~ p103(X0)
| p104(X0)
| ( ? [X19] :
( p104(X19)
& ~ p105(X19)
& p5(X19)
& r1(X0,X19) )
& ? [X20] :
( p104(X20)
& ~ p105(X20)
& ~ p5(X20)
& r1(X0,X20) ) ) )
& ( ~ p104(X0)
| p105(X0)
| ( ? [X21] :
( p105(X21)
& p6(X21)
& r1(X0,X21) )
& ? [X22] :
( p105(X22)
& ~ p6(X22)
& r1(X0,X22) ) ) )
& ! [X23] :
( ( ( ~ p101(X23)
| p100(X23) )
& ( ~ p102(X23)
| p101(X23) )
& ( ~ p103(X23)
| p102(X23) )
& ( ~ p104(X23)
| p103(X23) )
& ( ~ p105(X23)
| p104(X23) )
& ( ~ p100(X23)
| ( ( ~ p1(X23)
| ! [X24] :
( ~ p100(X24)
| p1(X24)
| ~ r1(X23,X24) ) )
& ( p1(X23)
| ! [X25] :
( ~ p100(X25)
| ~ p1(X25)
| ~ r1(X23,X25) ) ) ) )
& ( ~ p101(X23)
| ( ( ~ p2(X23)
| ! [X26] :
( ~ p101(X26)
| p2(X26)
| ~ r1(X23,X26) ) )
& ( p2(X23)
| ! [X27] :
( ~ p101(X27)
| ~ p2(X27)
| ~ r1(X23,X27) ) ) ) )
& ( ~ p102(X23)
| ( ( ~ p3(X23)
| ! [X28] :
( ~ p102(X28)
| p3(X28)
| ~ r1(X23,X28) ) )
& ( p3(X23)
| ! [X29] :
( ~ p102(X29)
| ~ p3(X29)
| ~ r1(X23,X29) ) ) ) )
& ( ~ p103(X23)
| ( ( ~ p4(X23)
| ! [X30] :
( ~ p103(X30)
| p4(X30)
| ~ r1(X23,X30) ) )
& ( p4(X23)
| ! [X31] :
( ~ p103(X31)
| ~ p4(X31)
| ~ r1(X23,X31) ) ) ) )
& ( ~ p104(X23)
| ( ( ~ p5(X23)
| ! [X32] :
( ~ p104(X32)
| p5(X32)
| ~ r1(X23,X32) ) )
& ( p5(X23)
| ! [X33] :
( ~ p104(X33)
| ~ p5(X33)
| ~ r1(X23,X33) ) ) ) )
& ( ~ p105(X23)
| ( ( ~ p6(X23)
| ! [X34] :
( ~ p105(X34)
| p6(X34)
| ~ r1(X23,X34) ) )
& ( p6(X23)
| ! [X35] :
( ~ p105(X35)
| ~ p6(X35)
| ~ r1(X23,X35) ) ) ) )
& ( ~ p100(X23)
| p101(X23)
| ( ? [X36] :
( p101(X36)
& ~ p102(X36)
& p2(X36)
& r1(X23,X36) )
& ? [X37] :
( p101(X37)
& ~ p102(X37)
& ~ p2(X37)
& r1(X23,X37) ) ) )
& ( ~ p101(X23)
| p102(X23)
| ( ? [X38] :
( p102(X38)
& ~ p103(X38)
& p3(X38)
& r1(X23,X38) )
& ? [X39] :
( p102(X39)
& ~ p103(X39)
& ~ p3(X39)
& r1(X23,X39) ) ) )
& ( ~ p102(X23)
| p103(X23)
| ( ? [X40] :
( p103(X40)
& ~ p104(X40)
& p4(X40)
& r1(X23,X40) )
& ? [X41] :
( p103(X41)
& ~ p104(X41)
& ~ p4(X41)
& r1(X23,X41) ) ) )
& ( ~ p103(X23)
| p104(X23)
| ( ? [X42] :
( p104(X42)
& ~ p105(X42)
& p5(X42)
& r1(X23,X42) )
& ? [X43] :
( p104(X43)
& ~ p105(X43)
& ~ p5(X43)
& r1(X23,X43) ) ) )
& ( ~ p104(X23)
| p105(X23)
| ( ? [X44] :
( p105(X44)
& p6(X44)
& r1(X23,X44) )
& ? [X45] :
( p105(X45)
& ~ p6(X45)
& r1(X23,X45) ) ) ) )
| ~ r1(X0,X23) )
& ! [X46] :
( ! [X47] :
( ( ( ~ p101(X47)
| p100(X47) )
& ( ~ p102(X47)
| p101(X47) )
& ( ~ p103(X47)
| p102(X47) )
& ( ~ p104(X47)
| p103(X47) )
& ( ~ p105(X47)
| p104(X47) )
& ( ~ p100(X47)
| ( ( ~ p1(X47)
| ! [X48] :
( ~ p100(X48)
| p1(X48)
| ~ r1(X47,X48) ) )
& ( p1(X47)
| ! [X49] :
( ~ p100(X49)
| ~ p1(X49)
| ~ r1(X47,X49) ) ) ) )
& ( ~ p101(X47)
| ( ( ~ p2(X47)
| ! [X50] :
( ~ p101(X50)
| p2(X50)
| ~ r1(X47,X50) ) )
& ( p2(X47)
| ! [X51] :
( ~ p101(X51)
| ~ p2(X51)
| ~ r1(X47,X51) ) ) ) )
& ( ~ p102(X47)
| ( ( ~ p3(X47)
| ! [X52] :
( ~ p102(X52)
| p3(X52)
| ~ r1(X47,X52) ) )
& ( p3(X47)
| ! [X53] :
( ~ p102(X53)
| ~ p3(X53)
| ~ r1(X47,X53) ) ) ) )
& ( ~ p103(X47)
| ( ( ~ p4(X47)
| ! [X54] :
( ~ p103(X54)
| p4(X54)
| ~ r1(X47,X54) ) )
& ( p4(X47)
| ! [X55] :
( ~ p103(X55)
| ~ p4(X55)
| ~ r1(X47,X55) ) ) ) )
& ( ~ p104(X47)
| ( ( ~ p5(X47)
| ! [X56] :
( ~ p104(X56)
| p5(X56)
| ~ r1(X47,X56) ) )
& ( p5(X47)
| ! [X57] :
( ~ p104(X57)
| ~ p5(X57)
| ~ r1(X47,X57) ) ) ) )
& ( ~ p105(X47)
| ( ( ~ p6(X47)
| ! [X58] :
( ~ p105(X58)
| p6(X58)
| ~ r1(X47,X58) ) )
& ( p6(X47)
| ! [X59] :
( ~ p105(X59)
| ~ p6(X59)
| ~ r1(X47,X59) ) ) ) )
& ( ~ p100(X47)
| p101(X47)
| ( ? [X60] :
( p101(X60)
& ~ p102(X60)
& p2(X60)
& r1(X47,X60) )
& ? [X61] :
( p101(X61)
& ~ p102(X61)
& ~ p2(X61)
& r1(X47,X61) ) ) )
& ( ~ p101(X47)
| p102(X47)
| ( ? [X62] :
( p102(X62)
& ~ p103(X62)
& p3(X62)
& r1(X47,X62) )
& ? [X63] :
( p102(X63)
& ~ p103(X63)
& ~ p3(X63)
& r1(X47,X63) ) ) )
& ( ~ p102(X47)
| p103(X47)
| ( ? [X64] :
( p103(X64)
& ~ p104(X64)
& p4(X64)
& r1(X47,X64) )
& ? [X65] :
( p103(X65)
& ~ p104(X65)
& ~ p4(X65)
& r1(X47,X65) ) ) )
& ( ~ p103(X47)
| p104(X47)
| ( ? [X66] :
( p104(X66)
& ~ p105(X66)
& p5(X66)
& r1(X47,X66) )
& ? [X67] :
( p104(X67)
& ~ p105(X67)
& ~ p5(X67)
& r1(X47,X67) ) ) )
& ( ~ p104(X47)
| p105(X47)
| ( ? [X68] :
( p105(X68)
& p6(X68)
& r1(X47,X68) )
& ? [X69] :
( p105(X69)
& ~ p6(X69)
& r1(X47,X69) ) ) ) )
| ~ r1(X46,X47) )
| ~ r1(X0,X46) )
& ! [X70] :
( ! [X71] :
( ! [X72] :
( ( ( ~ p101(X72)
| p100(X72) )
& ( ~ p102(X72)
| p101(X72) )
& ( ~ p103(X72)
| p102(X72) )
& ( ~ p104(X72)
| p103(X72) )
& ( ~ p105(X72)
| p104(X72) )
& ( ~ p100(X72)
| ( ( ~ p1(X72)
| ! [X73] :
( ~ p100(X73)
| p1(X73)
| ~ r1(X72,X73) ) )
& ( p1(X72)
| ! [X74] :
( ~ p100(X74)
| ~ p1(X74)
| ~ r1(X72,X74) ) ) ) )
& ( ~ p101(X72)
| ( ( ~ p2(X72)
| ! [X75] :
( ~ p101(X75)
| p2(X75)
| ~ r1(X72,X75) ) )
& ( p2(X72)
| ! [X76] :
( ~ p101(X76)
| ~ p2(X76)
| ~ r1(X72,X76) ) ) ) )
& ( ~ p102(X72)
| ( ( ~ p3(X72)
| ! [X77] :
( ~ p102(X77)
| p3(X77)
| ~ r1(X72,X77) ) )
& ( p3(X72)
| ! [X78] :
( ~ p102(X78)
| ~ p3(X78)
| ~ r1(X72,X78) ) ) ) )
& ( ~ p103(X72)
| ( ( ~ p4(X72)
| ! [X79] :
( ~ p103(X79)
| p4(X79)
| ~ r1(X72,X79) ) )
& ( p4(X72)
| ! [X80] :
( ~ p103(X80)
| ~ p4(X80)
| ~ r1(X72,X80) ) ) ) )
& ( ~ p104(X72)
| ( ( ~ p5(X72)
| ! [X81] :
( ~ p104(X81)
| p5(X81)
| ~ r1(X72,X81) ) )
& ( p5(X72)
| ! [X82] :
( ~ p104(X82)
| ~ p5(X82)
| ~ r1(X72,X82) ) ) ) )
& ( ~ p105(X72)
| ( ( ~ p6(X72)
| ! [X83] :
( ~ p105(X83)
| p6(X83)
| ~ r1(X72,X83) ) )
& ( p6(X72)
| ! [X84] :
( ~ p105(X84)
| ~ p6(X84)
| ~ r1(X72,X84) ) ) ) )
& ( ~ p100(X72)
| p101(X72)
| ( ? [X85] :
( p101(X85)
& ~ p102(X85)
& p2(X85)
& r1(X72,X85) )
& ? [X86] :
( p101(X86)
& ~ p102(X86)
& ~ p2(X86)
& r1(X72,X86) ) ) )
& ( ~ p101(X72)
| p102(X72)
| ( ? [X87] :
( p102(X87)
& ~ p103(X87)
& p3(X87)
& r1(X72,X87) )
& ? [X88] :
( p102(X88)
& ~ p103(X88)
& ~ p3(X88)
& r1(X72,X88) ) ) )
& ( ~ p102(X72)
| p103(X72)
| ( ? [X89] :
( p103(X89)
& ~ p104(X89)
& p4(X89)
& r1(X72,X89) )
& ? [X90] :
( p103(X90)
& ~ p104(X90)
& ~ p4(X90)
& r1(X72,X90) ) ) )
& ( ~ p103(X72)
| p104(X72)
| ( ? [X91] :
( p104(X91)
& ~ p105(X91)
& p5(X91)
& r1(X72,X91) )
& ? [X92] :
( p104(X92)
& ~ p105(X92)
& ~ p5(X92)
& r1(X72,X92) ) ) )
& ( ~ p104(X72)
| p105(X72)
| ( ? [X93] :
( p105(X93)
& p6(X93)
& r1(X72,X93) )
& ? [X94] :
( p105(X94)
& ~ p6(X94)
& r1(X72,X94) ) ) ) )
| ~ r1(X71,X72) )
| ~ r1(X70,X71) )
| ~ r1(X0,X70) )
& ! [X95] :
( ! [X96] :
( ! [X97] :
( ! [X98] :
( ( ( ~ p101(X98)
| p100(X98) )
& ( ~ p102(X98)
| p101(X98) )
& ( ~ p103(X98)
| p102(X98) )
& ( ~ p104(X98)
| p103(X98) )
& ( ~ p105(X98)
| p104(X98) )
& ( ~ p100(X98)
| ( ( ~ p1(X98)
| ! [X99] :
( ~ p100(X99)
| p1(X99)
| ~ r1(X98,X99) ) )
& ( p1(X98)
| ! [X100] :
( ~ p100(X100)
| ~ p1(X100)
| ~ r1(X98,X100) ) ) ) )
& ( ~ p101(X98)
| ( ( ~ p2(X98)
| ! [X101] :
( ~ p101(X101)
| p2(X101)
| ~ r1(X98,X101) ) )
& ( p2(X98)
| ! [X102] :
( ~ p101(X102)
| ~ p2(X102)
| ~ r1(X98,X102) ) ) ) )
& ( ~ p102(X98)
| ( ( ~ p3(X98)
| ! [X103] :
( ~ p102(X103)
| p3(X103)
| ~ r1(X98,X103) ) )
& ( p3(X98)
| ! [X104] :
( ~ p102(X104)
| ~ p3(X104)
| ~ r1(X98,X104) ) ) ) )
& ( ~ p103(X98)
| ( ( ~ p4(X98)
| ! [X105] :
( ~ p103(X105)
| p4(X105)
| ~ r1(X98,X105) ) )
& ( p4(X98)
| ! [X106] :
( ~ p103(X106)
| ~ p4(X106)
| ~ r1(X98,X106) ) ) ) )
& ( ~ p104(X98)
| ( ( ~ p5(X98)
| ! [X107] :
( ~ p104(X107)
| p5(X107)
| ~ r1(X98,X107) ) )
& ( p5(X98)
| ! [X108] :
( ~ p104(X108)
| ~ p5(X108)
| ~ r1(X98,X108) ) ) ) )
& ( ~ p105(X98)
| ( ( ~ p6(X98)
| ! [X109] :
( ~ p105(X109)
| p6(X109)
| ~ r1(X98,X109) ) )
& ( p6(X98)
| ! [X110] :
( ~ p105(X110)
| ~ p6(X110)
| ~ r1(X98,X110) ) ) ) )
& ( ~ p100(X98)
| p101(X98)
| ( ? [X111] :
( p101(X111)
& ~ p102(X111)
& p2(X111)
& r1(X98,X111) )
& ? [X112] :
( p101(X112)
& ~ p102(X112)
& ~ p2(X112)
& r1(X98,X112) ) ) )
& ( ~ p101(X98)
| p102(X98)
| ( ? [X113] :
( p102(X113)
& ~ p103(X113)
& p3(X113)
& r1(X98,X113) )
& ? [X114] :
( p102(X114)
& ~ p103(X114)
& ~ p3(X114)
& r1(X98,X114) ) ) )
& ( ~ p102(X98)
| p103(X98)
| ( ? [X115] :
( p103(X115)
& ~ p104(X115)
& p4(X115)
& r1(X98,X115) )
& ? [X116] :
( p103(X116)
& ~ p104(X116)
& ~ p4(X116)
& r1(X98,X116) ) ) )
& ( ~ p103(X98)
| p104(X98)
| ( ? [X117] :
( p104(X117)
& ~ p105(X117)
& p5(X117)
& r1(X98,X117) )
& ? [X118] :
( p104(X118)
& ~ p105(X118)
& ~ p5(X118)
& r1(X98,X118) ) ) )
& ( ~ p104(X98)
| p105(X98)
| ( ? [X119] :
( p105(X119)
& p6(X119)
& r1(X98,X119) )
& ? [X120] :
( p105(X120)
& ~ p6(X120)
& r1(X98,X120) ) ) ) )
| ~ r1(X97,X98) )
| ~ r1(X96,X97) )
| ~ r1(X95,X96) )
| ~ r1(X0,X95) )
& ! [X121] :
( ! [X122] :
( ! [X123] :
( ! [X124] :
( ! [X125] :
( ( ( ~ p101(X125)
| p100(X125) )
& ( ~ p102(X125)
| p101(X125) )
& ( ~ p103(X125)
| p102(X125) )
& ( ~ p104(X125)
| p103(X125) )
& ( ~ p105(X125)
| p104(X125) )
& ( ~ p100(X125)
| ( ( ~ p1(X125)
| ! [X126] :
( ~ p100(X126)
| p1(X126)
| ~ r1(X125,X126) ) )
& ( p1(X125)
| ! [X127] :
( ~ p100(X127)
| ~ p1(X127)
| ~ r1(X125,X127) ) ) ) )
& ( ~ p101(X125)
| ( ( ~ p2(X125)
| ! [X128] :
( ~ p101(X128)
| p2(X128)
| ~ r1(X125,X128) ) )
& ( p2(X125)
| ! [X129] :
( ~ p101(X129)
| ~ p2(X129)
| ~ r1(X125,X129) ) ) ) )
& ( ~ p102(X125)
| ( ( ~ p3(X125)
| ! [X130] :
( ~ p102(X130)
| p3(X130)
| ~ r1(X125,X130) ) )
& ( p3(X125)
| ! [X131] :
( ~ p102(X131)
| ~ p3(X131)
| ~ r1(X125,X131) ) ) ) )
& ( ~ p103(X125)
| ( ( ~ p4(X125)
| ! [X132] :
( ~ p103(X132)
| p4(X132)
| ~ r1(X125,X132) ) )
& ( p4(X125)
| ! [X133] :
( ~ p103(X133)
| ~ p4(X133)
| ~ r1(X125,X133) ) ) ) )
& ( ~ p104(X125)
| ( ( ~ p5(X125)
| ! [X134] :
( ~ p104(X134)
| p5(X134)
| ~ r1(X125,X134) ) )
& ( p5(X125)
| ! [X135] :
( ~ p104(X135)
| ~ p5(X135)
| ~ r1(X125,X135) ) ) ) )
& ( ~ p105(X125)
| ( ( ~ p6(X125)
| ! [X136] :
( ~ p105(X136)
| p6(X136)
| ~ r1(X125,X136) ) )
& ( p6(X125)
| ! [X137] :
( ~ p105(X137)
| ~ p6(X137)
| ~ r1(X125,X137) ) ) ) )
& ( ~ p100(X125)
| p101(X125)
| ( ? [X138] :
( p101(X138)
& ~ p102(X138)
& p2(X138)
& r1(X125,X138) )
& ? [X139] :
( p101(X139)
& ~ p102(X139)
& ~ p2(X139)
& r1(X125,X139) ) ) )
& ( ~ p101(X125)
| p102(X125)
| ( ? [X140] :
( p102(X140)
& ~ p103(X140)
& p3(X140)
& r1(X125,X140) )
& ? [X141] :
( p102(X141)
& ~ p103(X141)
& ~ p3(X141)
& r1(X125,X141) ) ) )
& ( ~ p102(X125)
| p103(X125)
| ( ? [X142] :
( p103(X142)
& ~ p104(X142)
& p4(X142)
& r1(X125,X142) )
& ? [X143] :
( p103(X143)
& ~ p104(X143)
& ~ p4(X143)
& r1(X125,X143) ) ) )
& ( ~ p103(X125)
| p104(X125)
| ( ? [X144] :
( p104(X144)
& ~ p105(X144)
& p5(X144)
& r1(X125,X144) )
& ? [X145] :
( p104(X145)
& ~ p105(X145)
& ~ p5(X145)
& r1(X125,X145) ) ) )
& ( ~ p104(X125)
| p105(X125)
| ( ? [X146] :
( p105(X146)
& p6(X146)
& r1(X125,X146) )
& ? [X147] :
( p105(X147)
& ~ p6(X147)
& r1(X125,X147) ) ) ) )
| ~ r1(X124,X125) )
| ~ r1(X123,X124) )
| ~ r1(X122,X123) )
| ~ r1(X121,X122) )
| ~ r1(X0,X121) )
& ! [X148] :
( ! [X149] :
( ! [X150] :
( ! [X151] :
( ! [X152] :
( p3(X152)
| ~ r1(X151,X152) )
| ~ r1(X150,X151) )
| ~ r1(X149,X150) )
| ~ r1(X148,X149) )
| ~ r1(X0,X148) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,plain,
? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(X0)
& ( ~ p101(X0)
| p100(X0) )
& ( ~ p102(X0)
| p101(X0) )
& ( ~ p103(X0)
| p102(X0) )
& ( ~ p104(X0)
| p103(X0) )
& ( ~ p105(X0)
| p104(X0) )
& ( ~ p100(X0)
| ( ( ~ p1(X0)
| ! [X1] :
( ~ p100(X1)
| p1(X1)
| ~ r1(X0,X1) ) )
& ( p1(X0)
| ! [X2] :
( ~ p100(X2)
| ~ p1(X2)
| ~ r1(X0,X2) ) ) ) )
& ( ~ p101(X0)
| ( ( ~ p2(X0)
| ! [X3] :
( ~ p101(X3)
| p2(X3)
| ~ r1(X0,X3) ) )
& ( p2(X0)
| ! [X4] :
( ~ p101(X4)
| ~ p2(X4)
| ~ r1(X0,X4) ) ) ) )
& ( ~ p102(X0)
| ( ( ~ p3(X0)
| ! [X5] :
( ~ p102(X5)
| p3(X5)
| ~ r1(X0,X5) ) )
& ( p3(X0)
| ! [X6] :
( ~ p102(X6)
| ~ p3(X6)
| ~ r1(X0,X6) ) ) ) )
& ( ~ p103(X0)
| ( ( ~ p4(X0)
| ! [X7] :
( ~ p103(X7)
| p4(X7)
| ~ r1(X0,X7) ) )
& ( p4(X0)
| ! [X8] :
( ~ p103(X8)
| ~ p4(X8)
| ~ r1(X0,X8) ) ) ) )
& ( ~ p104(X0)
| ( ( ~ p5(X0)
| ! [X9] :
( ~ p104(X9)
| p5(X9)
| ~ r1(X0,X9) ) )
& ( p5(X0)
| ! [X10] :
( ~ p104(X10)
| ~ p5(X10)
| ~ r1(X0,X10) ) ) ) )
& ( ~ p105(X0)
| ( ( ~ p6(X0)
| ! [X11] :
( ~ p105(X11)
| p6(X11)
| ~ r1(X0,X11) ) )
& ( p6(X0)
| ! [X12] :
( ~ p105(X12)
| ~ p6(X12)
| ~ r1(X0,X12) ) ) ) )
& ( ~ ( p100(X0)
& ~ p101(X0) )
| ( ~ ! [X13] :
( ~ ( p101(X13)
& ~ p102(X13)
& p2(X13) )
| ~ r1(X0,X13) )
& ~ ! [X14] :
( ~ ( p101(X14)
& ~ p102(X14)
& ~ p2(X14) )
| ~ r1(X0,X14) ) ) )
& ( ~ ( p101(X0)
& ~ p102(X0) )
| ( ~ ! [X15] :
( ~ ( p102(X15)
& ~ p103(X15)
& p3(X15) )
| ~ r1(X0,X15) )
& ~ ! [X16] :
( ~ ( p102(X16)
& ~ p103(X16)
& ~ p3(X16) )
| ~ r1(X0,X16) ) ) )
& ( ~ ( p102(X0)
& ~ p103(X0) )
| ( ~ ! [X17] :
( ~ ( p103(X17)
& ~ p104(X17)
& p4(X17) )
| ~ r1(X0,X17) )
& ~ ! [X18] :
( ~ ( p103(X18)
& ~ p104(X18)
& ~ p4(X18) )
| ~ r1(X0,X18) ) ) )
& ( ~ ( p103(X0)
& ~ p104(X0) )
| ( ~ ! [X19] :
( ~ ( p104(X19)
& ~ p105(X19)
& p5(X19) )
| ~ r1(X0,X19) )
& ~ ! [X20] :
( ~ ( p104(X20)
& ~ p105(X20)
& ~ p5(X20) )
| ~ r1(X0,X20) ) ) )
& ( ~ ( p104(X0)
& ~ p105(X0) )
| ( ~ ! [X21] :
( ~ ( p105(X21)
& p6(X21) )
| ~ r1(X0,X21) )
& ~ ! [X22] :
( ~ ( p105(X22)
& ~ p6(X22) )
| ~ r1(X0,X22) ) ) )
& ! [X23] :
( ( ( ~ p101(X23)
| p100(X23) )
& ( ~ p102(X23)
| p101(X23) )
& ( ~ p103(X23)
| p102(X23) )
& ( ~ p104(X23)
| p103(X23) )
& ( ~ p105(X23)
| p104(X23) )
& ( ~ p100(X23)
| ( ( ~ p1(X23)
| ! [X24] :
( ~ p100(X24)
| p1(X24)
| ~ r1(X23,X24) ) )
& ( p1(X23)
| ! [X25] :
( ~ p100(X25)
| ~ p1(X25)
| ~ r1(X23,X25) ) ) ) )
& ( ~ p101(X23)
| ( ( ~ p2(X23)
| ! [X26] :
( ~ p101(X26)
| p2(X26)
| ~ r1(X23,X26) ) )
& ( p2(X23)
| ! [X27] :
( ~ p101(X27)
| ~ p2(X27)
| ~ r1(X23,X27) ) ) ) )
& ( ~ p102(X23)
| ( ( ~ p3(X23)
| ! [X28] :
( ~ p102(X28)
| p3(X28)
| ~ r1(X23,X28) ) )
& ( p3(X23)
| ! [X29] :
( ~ p102(X29)
| ~ p3(X29)
| ~ r1(X23,X29) ) ) ) )
& ( ~ p103(X23)
| ( ( ~ p4(X23)
| ! [X30] :
( ~ p103(X30)
| p4(X30)
| ~ r1(X23,X30) ) )
& ( p4(X23)
| ! [X31] :
( ~ p103(X31)
| ~ p4(X31)
| ~ r1(X23,X31) ) ) ) )
& ( ~ p104(X23)
| ( ( ~ p5(X23)
| ! [X32] :
( ~ p104(X32)
| p5(X32)
| ~ r1(X23,X32) ) )
& ( p5(X23)
| ! [X33] :
( ~ p104(X33)
| ~ p5(X33)
| ~ r1(X23,X33) ) ) ) )
& ( ~ p105(X23)
| ( ( ~ p6(X23)
| ! [X34] :
( ~ p105(X34)
| p6(X34)
| ~ r1(X23,X34) ) )
& ( p6(X23)
| ! [X35] :
( ~ p105(X35)
| ~ p6(X35)
| ~ r1(X23,X35) ) ) ) )
& ( ~ ( p100(X23)
& ~ p101(X23) )
| ( ~ ! [X36] :
( ~ ( p101(X36)
& ~ p102(X36)
& p2(X36) )
| ~ r1(X23,X36) )
& ~ ! [X37] :
( ~ ( p101(X37)
& ~ p102(X37)
& ~ p2(X37) )
| ~ r1(X23,X37) ) ) )
& ( ~ ( p101(X23)
& ~ p102(X23) )
| ( ~ ! [X38] :
( ~ ( p102(X38)
& ~ p103(X38)
& p3(X38) )
| ~ r1(X23,X38) )
& ~ ! [X39] :
( ~ ( p102(X39)
& ~ p103(X39)
& ~ p3(X39) )
| ~ r1(X23,X39) ) ) )
& ( ~ ( p102(X23)
& ~ p103(X23) )
| ( ~ ! [X40] :
( ~ ( p103(X40)
& ~ p104(X40)
& p4(X40) )
| ~ r1(X23,X40) )
& ~ ! [X41] :
( ~ ( p103(X41)
& ~ p104(X41)
& ~ p4(X41) )
| ~ r1(X23,X41) ) ) )
& ( ~ ( p103(X23)
& ~ p104(X23) )
| ( ~ ! [X42] :
( ~ ( p104(X42)
& ~ p105(X42)
& p5(X42) )
| ~ r1(X23,X42) )
& ~ ! [X43] :
( ~ ( p104(X43)
& ~ p105(X43)
& ~ p5(X43) )
| ~ r1(X23,X43) ) ) )
& ( ~ ( p104(X23)
& ~ p105(X23) )
| ( ~ ! [X44] :
( ~ ( p105(X44)
& p6(X44) )
| ~ r1(X23,X44) )
& ~ ! [X45] :
( ~ ( p105(X45)
& ~ p6(X45) )
| ~ r1(X23,X45) ) ) ) )
| ~ r1(X0,X23) )
& ! [X46] :
( ! [X47] :
( ( ( ~ p101(X47)
| p100(X47) )
& ( ~ p102(X47)
| p101(X47) )
& ( ~ p103(X47)
| p102(X47) )
& ( ~ p104(X47)
| p103(X47) )
& ( ~ p105(X47)
| p104(X47) )
& ( ~ p100(X47)
| ( ( ~ p1(X47)
| ! [X48] :
( ~ p100(X48)
| p1(X48)
| ~ r1(X47,X48) ) )
& ( p1(X47)
| ! [X49] :
( ~ p100(X49)
| ~ p1(X49)
| ~ r1(X47,X49) ) ) ) )
& ( ~ p101(X47)
| ( ( ~ p2(X47)
| ! [X50] :
( ~ p101(X50)
| p2(X50)
| ~ r1(X47,X50) ) )
& ( p2(X47)
| ! [X51] :
( ~ p101(X51)
| ~ p2(X51)
| ~ r1(X47,X51) ) ) ) )
& ( ~ p102(X47)
| ( ( ~ p3(X47)
| ! [X52] :
( ~ p102(X52)
| p3(X52)
| ~ r1(X47,X52) ) )
& ( p3(X47)
| ! [X53] :
( ~ p102(X53)
| ~ p3(X53)
| ~ r1(X47,X53) ) ) ) )
& ( ~ p103(X47)
| ( ( ~ p4(X47)
| ! [X54] :
( ~ p103(X54)
| p4(X54)
| ~ r1(X47,X54) ) )
& ( p4(X47)
| ! [X55] :
( ~ p103(X55)
| ~ p4(X55)
| ~ r1(X47,X55) ) ) ) )
& ( ~ p104(X47)
| ( ( ~ p5(X47)
| ! [X56] :
( ~ p104(X56)
| p5(X56)
| ~ r1(X47,X56) ) )
& ( p5(X47)
| ! [X57] :
( ~ p104(X57)
| ~ p5(X57)
| ~ r1(X47,X57) ) ) ) )
& ( ~ p105(X47)
| ( ( ~ p6(X47)
| ! [X58] :
( ~ p105(X58)
| p6(X58)
| ~ r1(X47,X58) ) )
& ( p6(X47)
| ! [X59] :
( ~ p105(X59)
| ~ p6(X59)
| ~ r1(X47,X59) ) ) ) )
& ( ~ ( p100(X47)
& ~ p101(X47) )
| ( ~ ! [X60] :
( ~ ( p101(X60)
& ~ p102(X60)
& p2(X60) )
| ~ r1(X47,X60) )
& ~ ! [X61] :
( ~ ( p101(X61)
& ~ p102(X61)
& ~ p2(X61) )
| ~ r1(X47,X61) ) ) )
& ( ~ ( p101(X47)
& ~ p102(X47) )
| ( ~ ! [X62] :
( ~ ( p102(X62)
& ~ p103(X62)
& p3(X62) )
| ~ r1(X47,X62) )
& ~ ! [X63] :
( ~ ( p102(X63)
& ~ p103(X63)
& ~ p3(X63) )
| ~ r1(X47,X63) ) ) )
& ( ~ ( p102(X47)
& ~ p103(X47) )
| ( ~ ! [X64] :
( ~ ( p103(X64)
& ~ p104(X64)
& p4(X64) )
| ~ r1(X47,X64) )
& ~ ! [X65] :
( ~ ( p103(X65)
& ~ p104(X65)
& ~ p4(X65) )
| ~ r1(X47,X65) ) ) )
& ( ~ ( p103(X47)
& ~ p104(X47) )
| ( ~ ! [X66] :
( ~ ( p104(X66)
& ~ p105(X66)
& p5(X66) )
| ~ r1(X47,X66) )
& ~ ! [X67] :
( ~ ( p104(X67)
& ~ p105(X67)
& ~ p5(X67) )
| ~ r1(X47,X67) ) ) )
& ( ~ ( p104(X47)
& ~ p105(X47) )
| ( ~ ! [X68] :
( ~ ( p105(X68)
& p6(X68) )
| ~ r1(X47,X68) )
& ~ ! [X69] :
( ~ ( p105(X69)
& ~ p6(X69) )
| ~ r1(X47,X69) ) ) ) )
| ~ r1(X46,X47) )
| ~ r1(X0,X46) )
& ! [X70] :
( ! [X71] :
( ! [X72] :
( ( ( ~ p101(X72)
| p100(X72) )
& ( ~ p102(X72)
| p101(X72) )
& ( ~ p103(X72)
| p102(X72) )
& ( ~ p104(X72)
| p103(X72) )
& ( ~ p105(X72)
| p104(X72) )
& ( ~ p100(X72)
| ( ( ~ p1(X72)
| ! [X73] :
( ~ p100(X73)
| p1(X73)
| ~ r1(X72,X73) ) )
& ( p1(X72)
| ! [X74] :
( ~ p100(X74)
| ~ p1(X74)
| ~ r1(X72,X74) ) ) ) )
& ( ~ p101(X72)
| ( ( ~ p2(X72)
| ! [X75] :
( ~ p101(X75)
| p2(X75)
| ~ r1(X72,X75) ) )
& ( p2(X72)
| ! [X76] :
( ~ p101(X76)
| ~ p2(X76)
| ~ r1(X72,X76) ) ) ) )
& ( ~ p102(X72)
| ( ( ~ p3(X72)
| ! [X77] :
( ~ p102(X77)
| p3(X77)
| ~ r1(X72,X77) ) )
& ( p3(X72)
| ! [X78] :
( ~ p102(X78)
| ~ p3(X78)
| ~ r1(X72,X78) ) ) ) )
& ( ~ p103(X72)
| ( ( ~ p4(X72)
| ! [X79] :
( ~ p103(X79)
| p4(X79)
| ~ r1(X72,X79) ) )
& ( p4(X72)
| ! [X80] :
( ~ p103(X80)
| ~ p4(X80)
| ~ r1(X72,X80) ) ) ) )
& ( ~ p104(X72)
| ( ( ~ p5(X72)
| ! [X81] :
( ~ p104(X81)
| p5(X81)
| ~ r1(X72,X81) ) )
& ( p5(X72)
| ! [X82] :
( ~ p104(X82)
| ~ p5(X82)
| ~ r1(X72,X82) ) ) ) )
& ( ~ p105(X72)
| ( ( ~ p6(X72)
| ! [X83] :
( ~ p105(X83)
| p6(X83)
| ~ r1(X72,X83) ) )
& ( p6(X72)
| ! [X84] :
( ~ p105(X84)
| ~ p6(X84)
| ~ r1(X72,X84) ) ) ) )
& ( ~ ( p100(X72)
& ~ p101(X72) )
| ( ~ ! [X85] :
( ~ ( p101(X85)
& ~ p102(X85)
& p2(X85) )
| ~ r1(X72,X85) )
& ~ ! [X86] :
( ~ ( p101(X86)
& ~ p102(X86)
& ~ p2(X86) )
| ~ r1(X72,X86) ) ) )
& ( ~ ( p101(X72)
& ~ p102(X72) )
| ( ~ ! [X87] :
( ~ ( p102(X87)
& ~ p103(X87)
& p3(X87) )
| ~ r1(X72,X87) )
& ~ ! [X88] :
( ~ ( p102(X88)
& ~ p103(X88)
& ~ p3(X88) )
| ~ r1(X72,X88) ) ) )
& ( ~ ( p102(X72)
& ~ p103(X72) )
| ( ~ ! [X89] :
( ~ ( p103(X89)
& ~ p104(X89)
& p4(X89) )
| ~ r1(X72,X89) )
& ~ ! [X90] :
( ~ ( p103(X90)
& ~ p104(X90)
& ~ p4(X90) )
| ~ r1(X72,X90) ) ) )
& ( ~ ( p103(X72)
& ~ p104(X72) )
| ( ~ ! [X91] :
( ~ ( p104(X91)
& ~ p105(X91)
& p5(X91) )
| ~ r1(X72,X91) )
& ~ ! [X92] :
( ~ ( p104(X92)
& ~ p105(X92)
& ~ p5(X92) )
| ~ r1(X72,X92) ) ) )
& ( ~ ( p104(X72)
& ~ p105(X72) )
| ( ~ ! [X93] :
( ~ ( p105(X93)
& p6(X93) )
| ~ r1(X72,X93) )
& ~ ! [X94] :
( ~ ( p105(X94)
& ~ p6(X94) )
| ~ r1(X72,X94) ) ) ) )
| ~ r1(X71,X72) )
| ~ r1(X70,X71) )
| ~ r1(X0,X70) )
& ! [X95] :
( ! [X96] :
( ! [X97] :
( ! [X98] :
( ( ( ~ p101(X98)
| p100(X98) )
& ( ~ p102(X98)
| p101(X98) )
& ( ~ p103(X98)
| p102(X98) )
& ( ~ p104(X98)
| p103(X98) )
& ( ~ p105(X98)
| p104(X98) )
& ( ~ p100(X98)
| ( ( ~ p1(X98)
| ! [X99] :
( ~ p100(X99)
| p1(X99)
| ~ r1(X98,X99) ) )
& ( p1(X98)
| ! [X100] :
( ~ p100(X100)
| ~ p1(X100)
| ~ r1(X98,X100) ) ) ) )
& ( ~ p101(X98)
| ( ( ~ p2(X98)
| ! [X101] :
( ~ p101(X101)
| p2(X101)
| ~ r1(X98,X101) ) )
& ( p2(X98)
| ! [X102] :
( ~ p101(X102)
| ~ p2(X102)
| ~ r1(X98,X102) ) ) ) )
& ( ~ p102(X98)
| ( ( ~ p3(X98)
| ! [X103] :
( ~ p102(X103)
| p3(X103)
| ~ r1(X98,X103) ) )
& ( p3(X98)
| ! [X104] :
( ~ p102(X104)
| ~ p3(X104)
| ~ r1(X98,X104) ) ) ) )
& ( ~ p103(X98)
| ( ( ~ p4(X98)
| ! [X105] :
( ~ p103(X105)
| p4(X105)
| ~ r1(X98,X105) ) )
& ( p4(X98)
| ! [X106] :
( ~ p103(X106)
| ~ p4(X106)
| ~ r1(X98,X106) ) ) ) )
& ( ~ p104(X98)
| ( ( ~ p5(X98)
| ! [X107] :
( ~ p104(X107)
| p5(X107)
| ~ r1(X98,X107) ) )
& ( p5(X98)
| ! [X108] :
( ~ p104(X108)
| ~ p5(X108)
| ~ r1(X98,X108) ) ) ) )
& ( ~ p105(X98)
| ( ( ~ p6(X98)
| ! [X109] :
( ~ p105(X109)
| p6(X109)
| ~ r1(X98,X109) ) )
& ( p6(X98)
| ! [X110] :
( ~ p105(X110)
| ~ p6(X110)
| ~ r1(X98,X110) ) ) ) )
& ( ~ ( p100(X98)
& ~ p101(X98) )
| ( ~ ! [X111] :
( ~ ( p101(X111)
& ~ p102(X111)
& p2(X111) )
| ~ r1(X98,X111) )
& ~ ! [X112] :
( ~ ( p101(X112)
& ~ p102(X112)
& ~ p2(X112) )
| ~ r1(X98,X112) ) ) )
& ( ~ ( p101(X98)
& ~ p102(X98) )
| ( ~ ! [X113] :
( ~ ( p102(X113)
& ~ p103(X113)
& p3(X113) )
| ~ r1(X98,X113) )
& ~ ! [X114] :
( ~ ( p102(X114)
& ~ p103(X114)
& ~ p3(X114) )
| ~ r1(X98,X114) ) ) )
& ( ~ ( p102(X98)
& ~ p103(X98) )
| ( ~ ! [X115] :
( ~ ( p103(X115)
& ~ p104(X115)
& p4(X115) )
| ~ r1(X98,X115) )
& ~ ! [X116] :
( ~ ( p103(X116)
& ~ p104(X116)
& ~ p4(X116) )
| ~ r1(X98,X116) ) ) )
& ( ~ ( p103(X98)
& ~ p104(X98) )
| ( ~ ! [X117] :
( ~ ( p104(X117)
& ~ p105(X117)
& p5(X117) )
| ~ r1(X98,X117) )
& ~ ! [X118] :
( ~ ( p104(X118)
& ~ p105(X118)
& ~ p5(X118) )
| ~ r1(X98,X118) ) ) )
& ( ~ ( p104(X98)
& ~ p105(X98) )
| ( ~ ! [X119] :
( ~ ( p105(X119)
& p6(X119) )
| ~ r1(X98,X119) )
& ~ ! [X120] :
( ~ ( p105(X120)
& ~ p6(X120) )
| ~ r1(X98,X120) ) ) ) )
| ~ r1(X97,X98) )
| ~ r1(X96,X97) )
| ~ r1(X95,X96) )
| ~ r1(X0,X95) )
& ! [X121] :
( ! [X122] :
( ! [X123] :
( ! [X124] :
( ! [X125] :
( ( ( ~ p101(X125)
| p100(X125) )
& ( ~ p102(X125)
| p101(X125) )
& ( ~ p103(X125)
| p102(X125) )
& ( ~ p104(X125)
| p103(X125) )
& ( ~ p105(X125)
| p104(X125) )
& ( ~ p100(X125)
| ( ( ~ p1(X125)
| ! [X126] :
( ~ p100(X126)
| p1(X126)
| ~ r1(X125,X126) ) )
& ( p1(X125)
| ! [X127] :
( ~ p100(X127)
| ~ p1(X127)
| ~ r1(X125,X127) ) ) ) )
& ( ~ p101(X125)
| ( ( ~ p2(X125)
| ! [X128] :
( ~ p101(X128)
| p2(X128)
| ~ r1(X125,X128) ) )
& ( p2(X125)
| ! [X129] :
( ~ p101(X129)
| ~ p2(X129)
| ~ r1(X125,X129) ) ) ) )
& ( ~ p102(X125)
| ( ( ~ p3(X125)
| ! [X130] :
( ~ p102(X130)
| p3(X130)
| ~ r1(X125,X130) ) )
& ( p3(X125)
| ! [X131] :
( ~ p102(X131)
| ~ p3(X131)
| ~ r1(X125,X131) ) ) ) )
& ( ~ p103(X125)
| ( ( ~ p4(X125)
| ! [X132] :
( ~ p103(X132)
| p4(X132)
| ~ r1(X125,X132) ) )
& ( p4(X125)
| ! [X133] :
( ~ p103(X133)
| ~ p4(X133)
| ~ r1(X125,X133) ) ) ) )
& ( ~ p104(X125)
| ( ( ~ p5(X125)
| ! [X134] :
( ~ p104(X134)
| p5(X134)
| ~ r1(X125,X134) ) )
& ( p5(X125)
| ! [X135] :
( ~ p104(X135)
| ~ p5(X135)
| ~ r1(X125,X135) ) ) ) )
& ( ~ p105(X125)
| ( ( ~ p6(X125)
| ! [X136] :
( ~ p105(X136)
| p6(X136)
| ~ r1(X125,X136) ) )
& ( p6(X125)
| ! [X137] :
( ~ p105(X137)
| ~ p6(X137)
| ~ r1(X125,X137) ) ) ) )
& ( ~ ( p100(X125)
& ~ p101(X125) )
| ( ~ ! [X138] :
( ~ ( p101(X138)
& ~ p102(X138)
& p2(X138) )
| ~ r1(X125,X138) )
& ~ ! [X139] :
( ~ ( p101(X139)
& ~ p102(X139)
& ~ p2(X139) )
| ~ r1(X125,X139) ) ) )
& ( ~ ( p101(X125)
& ~ p102(X125) )
| ( ~ ! [X140] :
( ~ ( p102(X140)
& ~ p103(X140)
& p3(X140) )
| ~ r1(X125,X140) )
& ~ ! [X141] :
( ~ ( p102(X141)
& ~ p103(X141)
& ~ p3(X141) )
| ~ r1(X125,X141) ) ) )
& ( ~ ( p102(X125)
& ~ p103(X125) )
| ( ~ ! [X142] :
( ~ ( p103(X142)
& ~ p104(X142)
& p4(X142) )
| ~ r1(X125,X142) )
& ~ ! [X143] :
( ~ ( p103(X143)
& ~ p104(X143)
& ~ p4(X143) )
| ~ r1(X125,X143) ) ) )
& ( ~ ( p103(X125)
& ~ p104(X125) )
| ( ~ ! [X144] :
( ~ ( p104(X144)
& ~ p105(X144)
& p5(X144) )
| ~ r1(X125,X144) )
& ~ ! [X145] :
( ~ ( p104(X145)
& ~ p105(X145)
& ~ p5(X145) )
| ~ r1(X125,X145) ) ) )
& ( ~ ( p104(X125)
& ~ p105(X125) )
| ( ~ ! [X146] :
( ~ ( p105(X146)
& p6(X146) )
| ~ r1(X125,X146) )
& ~ ! [X147] :
( ~ ( p105(X147)
& ~ p6(X147) )
| ~ r1(X125,X147) ) ) ) )
| ~ r1(X124,X125) )
| ~ r1(X123,X124) )
| ~ r1(X122,X123) )
| ~ r1(X121,X122) )
| ~ r1(X0,X121) ) )
| ~ ! [X148] :
( ! [X149] :
( ! [X150] :
( ! [X151] :
( ! [X152] :
( p3(X152)
| ~ r1(X151,X152) )
| ~ r1(X150,X151) )
| ~ r1(X149,X150) )
| ~ r1(X148,X149) )
| ~ r1(X0,X148) ) ),
inference(pure_predicate_removal,[],[f4]) ).
fof(f4,plain,
? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(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) )
& ( ~ p100(X0)
| ( ( ~ p1(X0)
| ! [X1] :
( ~ p100(X1)
| p1(X1)
| ~ r1(X0,X1) ) )
& ( p1(X0)
| ! [X2] :
( ~ p100(X2)
| ~ p1(X2)
| ~ r1(X0,X2) ) ) ) )
& ( ~ p101(X0)
| ( ( ~ p2(X0)
| ! [X3] :
( ~ p101(X3)
| p2(X3)
| ~ r1(X0,X3) ) )
& ( p2(X0)
| ! [X4] :
( ~ p101(X4)
| ~ p2(X4)
| ~ r1(X0,X4) ) ) ) )
& ( ~ p102(X0)
| ( ( ~ p3(X0)
| ! [X5] :
( ~ p102(X5)
| p3(X5)
| ~ r1(X0,X5) ) )
& ( p3(X0)
| ! [X6] :
( ~ p102(X6)
| ~ p3(X6)
| ~ r1(X0,X6) ) ) ) )
& ( ~ p103(X0)
| ( ( ~ p4(X0)
| ! [X7] :
( ~ p103(X7)
| p4(X7)
| ~ r1(X0,X7) ) )
& ( p4(X0)
| ! [X8] :
( ~ p103(X8)
| ~ p4(X8)
| ~ r1(X0,X8) ) ) ) )
& ( ~ p104(X0)
| ( ( ~ p5(X0)
| ! [X9] :
( ~ p104(X9)
| p5(X9)
| ~ r1(X0,X9) ) )
& ( p5(X0)
| ! [X10] :
( ~ p104(X10)
| ~ p5(X10)
| ~ r1(X0,X10) ) ) ) )
& ( ~ p105(X0)
| ( ( ~ p6(X0)
| ! [X11] :
( ~ p105(X11)
| p6(X11)
| ~ r1(X0,X11) ) )
& ( p6(X0)
| ! [X12] :
( ~ p105(X12)
| ~ p6(X12)
| ~ r1(X0,X12) ) ) ) )
& ( ~ ( p100(X0)
& ~ p101(X0) )
| ( ~ ! [X13] :
( ~ ( p101(X13)
& ~ p102(X13)
& p2(X13) )
| ~ r1(X0,X13) )
& ~ ! [X14] :
( ~ ( p101(X14)
& ~ p102(X14)
& ~ p2(X14) )
| ~ r1(X0,X14) ) ) )
& ( ~ ( p101(X0)
& ~ p102(X0) )
| ( ~ ! [X15] :
( ~ ( p102(X15)
& ~ p103(X15)
& p3(X15) )
| ~ r1(X0,X15) )
& ~ ! [X16] :
( ~ ( p102(X16)
& ~ p103(X16)
& ~ p3(X16) )
| ~ r1(X0,X16) ) ) )
& ( ~ ( p102(X0)
& ~ p103(X0) )
| ( ~ ! [X17] :
( ~ ( p103(X17)
& ~ p104(X17)
& p4(X17) )
| ~ r1(X0,X17) )
& ~ ! [X18] :
( ~ ( p103(X18)
& ~ p104(X18)
& ~ p4(X18) )
| ~ r1(X0,X18) ) ) )
& ( ~ ( p103(X0)
& ~ p104(X0) )
| ( ~ ! [X19] :
( ~ ( p104(X19)
& ~ p105(X19)
& p5(X19) )
| ~ r1(X0,X19) )
& ~ ! [X20] :
( ~ ( p104(X20)
& ~ p105(X20)
& ~ p5(X20) )
| ~ r1(X0,X20) ) ) )
& ( ~ ( p104(X0)
& ~ p105(X0) )
| ( ~ ! [X21] :
( ~ ( p105(X21)
& ~ p106(X21)
& p6(X21) )
| ~ r1(X0,X21) )
& ~ ! [X22] :
( ~ ( p105(X22)
& ~ p106(X22)
& ~ p6(X22) )
| ~ r1(X0,X22) ) ) )
& ! [X23] :
( ( ( ~ p101(X23)
| p100(X23) )
& ( ~ p102(X23)
| p101(X23) )
& ( ~ p103(X23)
| p102(X23) )
& ( ~ p104(X23)
| p103(X23) )
& ( ~ p105(X23)
| p104(X23) )
& ( ~ p106(X23)
| p105(X23) )
& ( ~ p100(X23)
| ( ( ~ p1(X23)
| ! [X24] :
( ~ p100(X24)
| p1(X24)
| ~ r1(X23,X24) ) )
& ( p1(X23)
| ! [X25] :
( ~ p100(X25)
| ~ p1(X25)
| ~ r1(X23,X25) ) ) ) )
& ( ~ p101(X23)
| ( ( ~ p2(X23)
| ! [X26] :
( ~ p101(X26)
| p2(X26)
| ~ r1(X23,X26) ) )
& ( p2(X23)
| ! [X27] :
( ~ p101(X27)
| ~ p2(X27)
| ~ r1(X23,X27) ) ) ) )
& ( ~ p102(X23)
| ( ( ~ p3(X23)
| ! [X28] :
( ~ p102(X28)
| p3(X28)
| ~ r1(X23,X28) ) )
& ( p3(X23)
| ! [X29] :
( ~ p102(X29)
| ~ p3(X29)
| ~ r1(X23,X29) ) ) ) )
& ( ~ p103(X23)
| ( ( ~ p4(X23)
| ! [X30] :
( ~ p103(X30)
| p4(X30)
| ~ r1(X23,X30) ) )
& ( p4(X23)
| ! [X31] :
( ~ p103(X31)
| ~ p4(X31)
| ~ r1(X23,X31) ) ) ) )
& ( ~ p104(X23)
| ( ( ~ p5(X23)
| ! [X32] :
( ~ p104(X32)
| p5(X32)
| ~ r1(X23,X32) ) )
& ( p5(X23)
| ! [X33] :
( ~ p104(X33)
| ~ p5(X33)
| ~ r1(X23,X33) ) ) ) )
& ( ~ p105(X23)
| ( ( ~ p6(X23)
| ! [X34] :
( ~ p105(X34)
| p6(X34)
| ~ r1(X23,X34) ) )
& ( p6(X23)
| ! [X35] :
( ~ p105(X35)
| ~ p6(X35)
| ~ r1(X23,X35) ) ) ) )
& ( ~ ( p100(X23)
& ~ p101(X23) )
| ( ~ ! [X36] :
( ~ ( p101(X36)
& ~ p102(X36)
& p2(X36) )
| ~ r1(X23,X36) )
& ~ ! [X37] :
( ~ ( p101(X37)
& ~ p102(X37)
& ~ p2(X37) )
| ~ r1(X23,X37) ) ) )
& ( ~ ( p101(X23)
& ~ p102(X23) )
| ( ~ ! [X38] :
( ~ ( p102(X38)
& ~ p103(X38)
& p3(X38) )
| ~ r1(X23,X38) )
& ~ ! [X39] :
( ~ ( p102(X39)
& ~ p103(X39)
& ~ p3(X39) )
| ~ r1(X23,X39) ) ) )
& ( ~ ( p102(X23)
& ~ p103(X23) )
| ( ~ ! [X40] :
( ~ ( p103(X40)
& ~ p104(X40)
& p4(X40) )
| ~ r1(X23,X40) )
& ~ ! [X41] :
( ~ ( p103(X41)
& ~ p104(X41)
& ~ p4(X41) )
| ~ r1(X23,X41) ) ) )
& ( ~ ( p103(X23)
& ~ p104(X23) )
| ( ~ ! [X42] :
( ~ ( p104(X42)
& ~ p105(X42)
& p5(X42) )
| ~ r1(X23,X42) )
& ~ ! [X43] :
( ~ ( p104(X43)
& ~ p105(X43)
& ~ p5(X43) )
| ~ r1(X23,X43) ) ) )
& ( ~ ( p104(X23)
& ~ p105(X23) )
| ( ~ ! [X44] :
( ~ ( p105(X44)
& ~ p106(X44)
& p6(X44) )
| ~ r1(X23,X44) )
& ~ ! [X45] :
( ~ ( p105(X45)
& ~ p106(X45)
& ~ p6(X45) )
| ~ r1(X23,X45) ) ) ) )
| ~ r1(X0,X23) )
& ! [X46] :
( ! [X47] :
( ( ( ~ p101(X47)
| p100(X47) )
& ( ~ p102(X47)
| p101(X47) )
& ( ~ p103(X47)
| p102(X47) )
& ( ~ p104(X47)
| p103(X47) )
& ( ~ p105(X47)
| p104(X47) )
& ( ~ p106(X47)
| p105(X47) )
& ( ~ p100(X47)
| ( ( ~ p1(X47)
| ! [X48] :
( ~ p100(X48)
| p1(X48)
| ~ r1(X47,X48) ) )
& ( p1(X47)
| ! [X49] :
( ~ p100(X49)
| ~ p1(X49)
| ~ r1(X47,X49) ) ) ) )
& ( ~ p101(X47)
| ( ( ~ p2(X47)
| ! [X50] :
( ~ p101(X50)
| p2(X50)
| ~ r1(X47,X50) ) )
& ( p2(X47)
| ! [X51] :
( ~ p101(X51)
| ~ p2(X51)
| ~ r1(X47,X51) ) ) ) )
& ( ~ p102(X47)
| ( ( ~ p3(X47)
| ! [X52] :
( ~ p102(X52)
| p3(X52)
| ~ r1(X47,X52) ) )
& ( p3(X47)
| ! [X53] :
( ~ p102(X53)
| ~ p3(X53)
| ~ r1(X47,X53) ) ) ) )
& ( ~ p103(X47)
| ( ( ~ p4(X47)
| ! [X54] :
( ~ p103(X54)
| p4(X54)
| ~ r1(X47,X54) ) )
& ( p4(X47)
| ! [X55] :
( ~ p103(X55)
| ~ p4(X55)
| ~ r1(X47,X55) ) ) ) )
& ( ~ p104(X47)
| ( ( ~ p5(X47)
| ! [X56] :
( ~ p104(X56)
| p5(X56)
| ~ r1(X47,X56) ) )
& ( p5(X47)
| ! [X57] :
( ~ p104(X57)
| ~ p5(X57)
| ~ r1(X47,X57) ) ) ) )
& ( ~ p105(X47)
| ( ( ~ p6(X47)
| ! [X58] :
( ~ p105(X58)
| p6(X58)
| ~ r1(X47,X58) ) )
& ( p6(X47)
| ! [X59] :
( ~ p105(X59)
| ~ p6(X59)
| ~ r1(X47,X59) ) ) ) )
& ( ~ ( p100(X47)
& ~ p101(X47) )
| ( ~ ! [X60] :
( ~ ( p101(X60)
& ~ p102(X60)
& p2(X60) )
| ~ r1(X47,X60) )
& ~ ! [X61] :
( ~ ( p101(X61)
& ~ p102(X61)
& ~ p2(X61) )
| ~ r1(X47,X61) ) ) )
& ( ~ ( p101(X47)
& ~ p102(X47) )
| ( ~ ! [X62] :
( ~ ( p102(X62)
& ~ p103(X62)
& p3(X62) )
| ~ r1(X47,X62) )
& ~ ! [X63] :
( ~ ( p102(X63)
& ~ p103(X63)
& ~ p3(X63) )
| ~ r1(X47,X63) ) ) )
& ( ~ ( p102(X47)
& ~ p103(X47) )
| ( ~ ! [X64] :
( ~ ( p103(X64)
& ~ p104(X64)
& p4(X64) )
| ~ r1(X47,X64) )
& ~ ! [X65] :
( ~ ( p103(X65)
& ~ p104(X65)
& ~ p4(X65) )
| ~ r1(X47,X65) ) ) )
& ( ~ ( p103(X47)
& ~ p104(X47) )
| ( ~ ! [X66] :
( ~ ( p104(X66)
& ~ p105(X66)
& p5(X66) )
| ~ r1(X47,X66) )
& ~ ! [X67] :
( ~ ( p104(X67)
& ~ p105(X67)
& ~ p5(X67) )
| ~ r1(X47,X67) ) ) )
& ( ~ ( p104(X47)
& ~ p105(X47) )
| ( ~ ! [X68] :
( ~ ( p105(X68)
& ~ p106(X68)
& p6(X68) )
| ~ r1(X47,X68) )
& ~ ! [X69] :
( ~ ( p105(X69)
& ~ p106(X69)
& ~ p6(X69) )
| ~ r1(X47,X69) ) ) ) )
| ~ r1(X46,X47) )
| ~ r1(X0,X46) )
& ! [X70] :
( ! [X71] :
( ! [X72] :
( ( ( ~ p101(X72)
| p100(X72) )
& ( ~ p102(X72)
| p101(X72) )
& ( ~ p103(X72)
| p102(X72) )
& ( ~ p104(X72)
| p103(X72) )
& ( ~ p105(X72)
| p104(X72) )
& ( ~ p106(X72)
| p105(X72) )
& ( ~ p100(X72)
| ( ( ~ p1(X72)
| ! [X73] :
( ~ p100(X73)
| p1(X73)
| ~ r1(X72,X73) ) )
& ( p1(X72)
| ! [X74] :
( ~ p100(X74)
| ~ p1(X74)
| ~ r1(X72,X74) ) ) ) )
& ( ~ p101(X72)
| ( ( ~ p2(X72)
| ! [X75] :
( ~ p101(X75)
| p2(X75)
| ~ r1(X72,X75) ) )
& ( p2(X72)
| ! [X76] :
( ~ p101(X76)
| ~ p2(X76)
| ~ r1(X72,X76) ) ) ) )
& ( ~ p102(X72)
| ( ( ~ p3(X72)
| ! [X77] :
( ~ p102(X77)
| p3(X77)
| ~ r1(X72,X77) ) )
& ( p3(X72)
| ! [X78] :
( ~ p102(X78)
| ~ p3(X78)
| ~ r1(X72,X78) ) ) ) )
& ( ~ p103(X72)
| ( ( ~ p4(X72)
| ! [X79] :
( ~ p103(X79)
| p4(X79)
| ~ r1(X72,X79) ) )
& ( p4(X72)
| ! [X80] :
( ~ p103(X80)
| ~ p4(X80)
| ~ r1(X72,X80) ) ) ) )
& ( ~ p104(X72)
| ( ( ~ p5(X72)
| ! [X81] :
( ~ p104(X81)
| p5(X81)
| ~ r1(X72,X81) ) )
& ( p5(X72)
| ! [X82] :
( ~ p104(X82)
| ~ p5(X82)
| ~ r1(X72,X82) ) ) ) )
& ( ~ p105(X72)
| ( ( ~ p6(X72)
| ! [X83] :
( ~ p105(X83)
| p6(X83)
| ~ r1(X72,X83) ) )
& ( p6(X72)
| ! [X84] :
( ~ p105(X84)
| ~ p6(X84)
| ~ r1(X72,X84) ) ) ) )
& ( ~ ( p100(X72)
& ~ p101(X72) )
| ( ~ ! [X85] :
( ~ ( p101(X85)
& ~ p102(X85)
& p2(X85) )
| ~ r1(X72,X85) )
& ~ ! [X86] :
( ~ ( p101(X86)
& ~ p102(X86)
& ~ p2(X86) )
| ~ r1(X72,X86) ) ) )
& ( ~ ( p101(X72)
& ~ p102(X72) )
| ( ~ ! [X87] :
( ~ ( p102(X87)
& ~ p103(X87)
& p3(X87) )
| ~ r1(X72,X87) )
& ~ ! [X88] :
( ~ ( p102(X88)
& ~ p103(X88)
& ~ p3(X88) )
| ~ r1(X72,X88) ) ) )
& ( ~ ( p102(X72)
& ~ p103(X72) )
| ( ~ ! [X89] :
( ~ ( p103(X89)
& ~ p104(X89)
& p4(X89) )
| ~ r1(X72,X89) )
& ~ ! [X90] :
( ~ ( p103(X90)
& ~ p104(X90)
& ~ p4(X90) )
| ~ r1(X72,X90) ) ) )
& ( ~ ( p103(X72)
& ~ p104(X72) )
| ( ~ ! [X91] :
( ~ ( p104(X91)
& ~ p105(X91)
& p5(X91) )
| ~ r1(X72,X91) )
& ~ ! [X92] :
( ~ ( p104(X92)
& ~ p105(X92)
& ~ p5(X92) )
| ~ r1(X72,X92) ) ) )
& ( ~ ( p104(X72)
& ~ p105(X72) )
| ( ~ ! [X93] :
( ~ ( p105(X93)
& ~ p106(X93)
& p6(X93) )
| ~ r1(X72,X93) )
& ~ ! [X94] :
( ~ ( p105(X94)
& ~ p106(X94)
& ~ p6(X94) )
| ~ r1(X72,X94) ) ) ) )
| ~ r1(X71,X72) )
| ~ r1(X70,X71) )
| ~ r1(X0,X70) )
& ! [X95] :
( ! [X96] :
( ! [X97] :
( ! [X98] :
( ( ( ~ p101(X98)
| p100(X98) )
& ( ~ p102(X98)
| p101(X98) )
& ( ~ p103(X98)
| p102(X98) )
& ( ~ p104(X98)
| p103(X98) )
& ( ~ p105(X98)
| p104(X98) )
& ( ~ p106(X98)
| p105(X98) )
& ( ~ p100(X98)
| ( ( ~ p1(X98)
| ! [X99] :
( ~ p100(X99)
| p1(X99)
| ~ r1(X98,X99) ) )
& ( p1(X98)
| ! [X100] :
( ~ p100(X100)
| ~ p1(X100)
| ~ r1(X98,X100) ) ) ) )
& ( ~ p101(X98)
| ( ( ~ p2(X98)
| ! [X101] :
( ~ p101(X101)
| p2(X101)
| ~ r1(X98,X101) ) )
& ( p2(X98)
| ! [X102] :
( ~ p101(X102)
| ~ p2(X102)
| ~ r1(X98,X102) ) ) ) )
& ( ~ p102(X98)
| ( ( ~ p3(X98)
| ! [X103] :
( ~ p102(X103)
| p3(X103)
| ~ r1(X98,X103) ) )
& ( p3(X98)
| ! [X104] :
( ~ p102(X104)
| ~ p3(X104)
| ~ r1(X98,X104) ) ) ) )
& ( ~ p103(X98)
| ( ( ~ p4(X98)
| ! [X105] :
( ~ p103(X105)
| p4(X105)
| ~ r1(X98,X105) ) )
& ( p4(X98)
| ! [X106] :
( ~ p103(X106)
| ~ p4(X106)
| ~ r1(X98,X106) ) ) ) )
& ( ~ p104(X98)
| ( ( ~ p5(X98)
| ! [X107] :
( ~ p104(X107)
| p5(X107)
| ~ r1(X98,X107) ) )
& ( p5(X98)
| ! [X108] :
( ~ p104(X108)
| ~ p5(X108)
| ~ r1(X98,X108) ) ) ) )
& ( ~ p105(X98)
| ( ( ~ p6(X98)
| ! [X109] :
( ~ p105(X109)
| p6(X109)
| ~ r1(X98,X109) ) )
& ( p6(X98)
| ! [X110] :
( ~ p105(X110)
| ~ p6(X110)
| ~ r1(X98,X110) ) ) ) )
& ( ~ ( p100(X98)
& ~ p101(X98) )
| ( ~ ! [X111] :
( ~ ( p101(X111)
& ~ p102(X111)
& p2(X111) )
| ~ r1(X98,X111) )
& ~ ! [X112] :
( ~ ( p101(X112)
& ~ p102(X112)
& ~ p2(X112) )
| ~ r1(X98,X112) ) ) )
& ( ~ ( p101(X98)
& ~ p102(X98) )
| ( ~ ! [X113] :
( ~ ( p102(X113)
& ~ p103(X113)
& p3(X113) )
| ~ r1(X98,X113) )
& ~ ! [X114] :
( ~ ( p102(X114)
& ~ p103(X114)
& ~ p3(X114) )
| ~ r1(X98,X114) ) ) )
& ( ~ ( p102(X98)
& ~ p103(X98) )
| ( ~ ! [X115] :
( ~ ( p103(X115)
& ~ p104(X115)
& p4(X115) )
| ~ r1(X98,X115) )
& ~ ! [X116] :
( ~ ( p103(X116)
& ~ p104(X116)
& ~ p4(X116) )
| ~ r1(X98,X116) ) ) )
& ( ~ ( p103(X98)
& ~ p104(X98) )
| ( ~ ! [X117] :
( ~ ( p104(X117)
& ~ p105(X117)
& p5(X117) )
| ~ r1(X98,X117) )
& ~ ! [X118] :
( ~ ( p104(X118)
& ~ p105(X118)
& ~ p5(X118) )
| ~ r1(X98,X118) ) ) )
& ( ~ ( p104(X98)
& ~ p105(X98) )
| ( ~ ! [X119] :
( ~ ( p105(X119)
& ~ p106(X119)
& p6(X119) )
| ~ r1(X98,X119) )
& ~ ! [X120] :
( ~ ( p105(X120)
& ~ p106(X120)
& ~ p6(X120) )
| ~ r1(X98,X120) ) ) ) )
| ~ r1(X97,X98) )
| ~ r1(X96,X97) )
| ~ r1(X95,X96) )
| ~ r1(X0,X95) )
& ! [X121] :
( ! [X122] :
( ! [X123] :
( ! [X124] :
( ! [X125] :
( ( ( ~ p101(X125)
| p100(X125) )
& ( ~ p102(X125)
| p101(X125) )
& ( ~ p103(X125)
| p102(X125) )
& ( ~ p104(X125)
| p103(X125) )
& ( ~ p105(X125)
| p104(X125) )
& ( ~ p106(X125)
| p105(X125) )
& ( ~ p100(X125)
| ( ( ~ p1(X125)
| ! [X126] :
( ~ p100(X126)
| p1(X126)
| ~ r1(X125,X126) ) )
& ( p1(X125)
| ! [X127] :
( ~ p100(X127)
| ~ p1(X127)
| ~ r1(X125,X127) ) ) ) )
& ( ~ p101(X125)
| ( ( ~ p2(X125)
| ! [X128] :
( ~ p101(X128)
| p2(X128)
| ~ r1(X125,X128) ) )
& ( p2(X125)
| ! [X129] :
( ~ p101(X129)
| ~ p2(X129)
| ~ r1(X125,X129) ) ) ) )
& ( ~ p102(X125)
| ( ( ~ p3(X125)
| ! [X130] :
( ~ p102(X130)
| p3(X130)
| ~ r1(X125,X130) ) )
& ( p3(X125)
| ! [X131] :
( ~ p102(X131)
| ~ p3(X131)
| ~ r1(X125,X131) ) ) ) )
& ( ~ p103(X125)
| ( ( ~ p4(X125)
| ! [X132] :
( ~ p103(X132)
| p4(X132)
| ~ r1(X125,X132) ) )
& ( p4(X125)
| ! [X133] :
( ~ p103(X133)
| ~ p4(X133)
| ~ r1(X125,X133) ) ) ) )
& ( ~ p104(X125)
| ( ( ~ p5(X125)
| ! [X134] :
( ~ p104(X134)
| p5(X134)
| ~ r1(X125,X134) ) )
& ( p5(X125)
| ! [X135] :
( ~ p104(X135)
| ~ p5(X135)
| ~ r1(X125,X135) ) ) ) )
& ( ~ p105(X125)
| ( ( ~ p6(X125)
| ! [X136] :
( ~ p105(X136)
| p6(X136)
| ~ r1(X125,X136) ) )
& ( p6(X125)
| ! [X137] :
( ~ p105(X137)
| ~ p6(X137)
| ~ r1(X125,X137) ) ) ) )
& ( ~ ( p100(X125)
& ~ p101(X125) )
| ( ~ ! [X138] :
( ~ ( p101(X138)
& ~ p102(X138)
& p2(X138) )
| ~ r1(X125,X138) )
& ~ ! [X139] :
( ~ ( p101(X139)
& ~ p102(X139)
& ~ p2(X139) )
| ~ r1(X125,X139) ) ) )
& ( ~ ( p101(X125)
& ~ p102(X125) )
| ( ~ ! [X140] :
( ~ ( p102(X140)
& ~ p103(X140)
& p3(X140) )
| ~ r1(X125,X140) )
& ~ ! [X141] :
( ~ ( p102(X141)
& ~ p103(X141)
& ~ p3(X141) )
| ~ r1(X125,X141) ) ) )
& ( ~ ( p102(X125)
& ~ p103(X125) )
| ( ~ ! [X142] :
( ~ ( p103(X142)
& ~ p104(X142)
& p4(X142) )
| ~ r1(X125,X142) )
& ~ ! [X143] :
( ~ ( p103(X143)
& ~ p104(X143)
& ~ p4(X143) )
| ~ r1(X125,X143) ) ) )
& ( ~ ( p103(X125)
& ~ p104(X125) )
| ( ~ ! [X144] :
( ~ ( p104(X144)
& ~ p105(X144)
& p5(X144) )
| ~ r1(X125,X144) )
& ~ ! [X145] :
( ~ ( p104(X145)
& ~ p105(X145)
& ~ p5(X145) )
| ~ r1(X125,X145) ) ) )
& ( ~ ( p104(X125)
& ~ p105(X125) )
| ( ~ ! [X146] :
( ~ ( p105(X146)
& ~ p106(X146)
& p6(X146) )
| ~ r1(X125,X146) )
& ~ ! [X147] :
( ~ ( p105(X147)
& ~ p106(X147)
& ~ p6(X147) )
| ~ r1(X125,X147) ) ) ) )
| ~ r1(X124,X125) )
| ~ r1(X123,X124) )
| ~ r1(X122,X123) )
| ~ r1(X121,X122) )
| ~ r1(X0,X121) ) )
| ~ ! [X148] :
( ! [X149] :
( ! [X150] :
( ! [X151] :
( ! [X152] :
( p3(X152)
| ~ r1(X151,X152) )
| ~ r1(X150,X151) )
| ~ r1(X149,X150) )
| ~ r1(X148,X149) )
| ~ r1(X0,X148) ) ),
inference(flattening,[],[f3]) ).
fof(f3,plain,
~ ~ ? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(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) )
& ( ~ p100(X0)
| ( ( ~ p1(X0)
| ! [X1] :
( ~ p100(X1)
| p1(X1)
| ~ r1(X0,X1) ) )
& ( p1(X0)
| ! [X2] :
( ~ p100(X2)
| ~ p1(X2)
| ~ r1(X0,X2) ) ) ) )
& ( ~ p101(X0)
| ( ( ~ p2(X0)
| ! [X3] :
( ~ p101(X3)
| p2(X3)
| ~ r1(X0,X3) ) )
& ( p2(X0)
| ! [X4] :
( ~ p101(X4)
| ~ p2(X4)
| ~ r1(X0,X4) ) ) ) )
& ( ~ p102(X0)
| ( ( ~ p3(X0)
| ! [X5] :
( ~ p102(X5)
| p3(X5)
| ~ r1(X0,X5) ) )
& ( p3(X0)
| ! [X6] :
( ~ p102(X6)
| ~ p3(X6)
| ~ r1(X0,X6) ) ) ) )
& ( ~ p103(X0)
| ( ( ~ p4(X0)
| ! [X7] :
( ~ p103(X7)
| p4(X7)
| ~ r1(X0,X7) ) )
& ( p4(X0)
| ! [X8] :
( ~ p103(X8)
| ~ p4(X8)
| ~ r1(X0,X8) ) ) ) )
& ( ~ p104(X0)
| ( ( ~ p5(X0)
| ! [X9] :
( ~ p104(X9)
| p5(X9)
| ~ r1(X0,X9) ) )
& ( p5(X0)
| ! [X10] :
( ~ p104(X10)
| ~ p5(X10)
| ~ r1(X0,X10) ) ) ) )
& ( ~ p105(X0)
| ( ( ~ p6(X0)
| ! [X11] :
( ~ p105(X11)
| p6(X11)
| ~ r1(X0,X11) ) )
& ( p6(X0)
| ! [X12] :
( ~ p105(X12)
| ~ p6(X12)
| ~ r1(X0,X12) ) ) ) )
& ( ~ ( p100(X0)
& ~ p101(X0) )
| ( ~ ! [X13] :
( ~ ( p101(X13)
& ~ p102(X13)
& p2(X13) )
| ~ r1(X0,X13) )
& ~ ! [X14] :
( ~ ( p101(X14)
& ~ p102(X14)
& ~ p2(X14) )
| ~ r1(X0,X14) ) ) )
& ( ~ ( p101(X0)
& ~ p102(X0) )
| ( ~ ! [X15] :
( ~ ( p102(X15)
& ~ p103(X15)
& p3(X15) )
| ~ r1(X0,X15) )
& ~ ! [X16] :
( ~ ( p102(X16)
& ~ p103(X16)
& ~ p3(X16) )
| ~ r1(X0,X16) ) ) )
& ( ~ ( p102(X0)
& ~ p103(X0) )
| ( ~ ! [X17] :
( ~ ( p103(X17)
& ~ p104(X17)
& p4(X17) )
| ~ r1(X0,X17) )
& ~ ! [X18] :
( ~ ( p103(X18)
& ~ p104(X18)
& ~ p4(X18) )
| ~ r1(X0,X18) ) ) )
& ( ~ ( p103(X0)
& ~ p104(X0) )
| ( ~ ! [X19] :
( ~ ( p104(X19)
& ~ p105(X19)
& p5(X19) )
| ~ r1(X0,X19) )
& ~ ! [X20] :
( ~ ( p104(X20)
& ~ p105(X20)
& ~ p5(X20) )
| ~ r1(X0,X20) ) ) )
& ( ~ ( p104(X0)
& ~ p105(X0) )
| ( ~ ! [X21] :
( ~ ( p105(X21)
& ~ p106(X21)
& p6(X21) )
| ~ r1(X0,X21) )
& ~ ! [X22] :
( ~ ( p105(X22)
& ~ p106(X22)
& ~ p6(X22) )
| ~ r1(X0,X22) ) ) )
& ! [X23] :
( ( ( ~ p101(X23)
| p100(X23) )
& ( ~ p102(X23)
| p101(X23) )
& ( ~ p103(X23)
| p102(X23) )
& ( ~ p104(X23)
| p103(X23) )
& ( ~ p105(X23)
| p104(X23) )
& ( ~ p106(X23)
| p105(X23) )
& ( ~ p100(X23)
| ( ( ~ p1(X23)
| ! [X24] :
( ~ p100(X24)
| p1(X24)
| ~ r1(X23,X24) ) )
& ( p1(X23)
| ! [X25] :
( ~ p100(X25)
| ~ p1(X25)
| ~ r1(X23,X25) ) ) ) )
& ( ~ p101(X23)
| ( ( ~ p2(X23)
| ! [X26] :
( ~ p101(X26)
| p2(X26)
| ~ r1(X23,X26) ) )
& ( p2(X23)
| ! [X27] :
( ~ p101(X27)
| ~ p2(X27)
| ~ r1(X23,X27) ) ) ) )
& ( ~ p102(X23)
| ( ( ~ p3(X23)
| ! [X28] :
( ~ p102(X28)
| p3(X28)
| ~ r1(X23,X28) ) )
& ( p3(X23)
| ! [X29] :
( ~ p102(X29)
| ~ p3(X29)
| ~ r1(X23,X29) ) ) ) )
& ( ~ p103(X23)
| ( ( ~ p4(X23)
| ! [X30] :
( ~ p103(X30)
| p4(X30)
| ~ r1(X23,X30) ) )
& ( p4(X23)
| ! [X31] :
( ~ p103(X31)
| ~ p4(X31)
| ~ r1(X23,X31) ) ) ) )
& ( ~ p104(X23)
| ( ( ~ p5(X23)
| ! [X32] :
( ~ p104(X32)
| p5(X32)
| ~ r1(X23,X32) ) )
& ( p5(X23)
| ! [X33] :
( ~ p104(X33)
| ~ p5(X33)
| ~ r1(X23,X33) ) ) ) )
& ( ~ p105(X23)
| ( ( ~ p6(X23)
| ! [X34] :
( ~ p105(X34)
| p6(X34)
| ~ r1(X23,X34) ) )
& ( p6(X23)
| ! [X35] :
( ~ p105(X35)
| ~ p6(X35)
| ~ r1(X23,X35) ) ) ) )
& ( ~ ( p100(X23)
& ~ p101(X23) )
| ( ~ ! [X36] :
( ~ ( p101(X36)
& ~ p102(X36)
& p2(X36) )
| ~ r1(X23,X36) )
& ~ ! [X37] :
( ~ ( p101(X37)
& ~ p102(X37)
& ~ p2(X37) )
| ~ r1(X23,X37) ) ) )
& ( ~ ( p101(X23)
& ~ p102(X23) )
| ( ~ ! [X38] :
( ~ ( p102(X38)
& ~ p103(X38)
& p3(X38) )
| ~ r1(X23,X38) )
& ~ ! [X39] :
( ~ ( p102(X39)
& ~ p103(X39)
& ~ p3(X39) )
| ~ r1(X23,X39) ) ) )
& ( ~ ( p102(X23)
& ~ p103(X23) )
| ( ~ ! [X40] :
( ~ ( p103(X40)
& ~ p104(X40)
& p4(X40) )
| ~ r1(X23,X40) )
& ~ ! [X41] :
( ~ ( p103(X41)
& ~ p104(X41)
& ~ p4(X41) )
| ~ r1(X23,X41) ) ) )
& ( ~ ( p103(X23)
& ~ p104(X23) )
| ( ~ ! [X42] :
( ~ ( p104(X42)
& ~ p105(X42)
& p5(X42) )
| ~ r1(X23,X42) )
& ~ ! [X43] :
( ~ ( p104(X43)
& ~ p105(X43)
& ~ p5(X43) )
| ~ r1(X23,X43) ) ) )
& ( ~ ( p104(X23)
& ~ p105(X23) )
| ( ~ ! [X44] :
( ~ ( p105(X44)
& ~ p106(X44)
& p6(X44) )
| ~ r1(X23,X44) )
& ~ ! [X45] :
( ~ ( p105(X45)
& ~ p106(X45)
& ~ p6(X45) )
| ~ r1(X23,X45) ) ) ) )
| ~ r1(X0,X23) )
& ! [X46] :
( ! [X47] :
( ( ( ~ p101(X47)
| p100(X47) )
& ( ~ p102(X47)
| p101(X47) )
& ( ~ p103(X47)
| p102(X47) )
& ( ~ p104(X47)
| p103(X47) )
& ( ~ p105(X47)
| p104(X47) )
& ( ~ p106(X47)
| p105(X47) )
& ( ~ p100(X47)
| ( ( ~ p1(X47)
| ! [X48] :
( ~ p100(X48)
| p1(X48)
| ~ r1(X47,X48) ) )
& ( p1(X47)
| ! [X49] :
( ~ p100(X49)
| ~ p1(X49)
| ~ r1(X47,X49) ) ) ) )
& ( ~ p101(X47)
| ( ( ~ p2(X47)
| ! [X50] :
( ~ p101(X50)
| p2(X50)
| ~ r1(X47,X50) ) )
& ( p2(X47)
| ! [X51] :
( ~ p101(X51)
| ~ p2(X51)
| ~ r1(X47,X51) ) ) ) )
& ( ~ p102(X47)
| ( ( ~ p3(X47)
| ! [X52] :
( ~ p102(X52)
| p3(X52)
| ~ r1(X47,X52) ) )
& ( p3(X47)
| ! [X53] :
( ~ p102(X53)
| ~ p3(X53)
| ~ r1(X47,X53) ) ) ) )
& ( ~ p103(X47)
| ( ( ~ p4(X47)
| ! [X54] :
( ~ p103(X54)
| p4(X54)
| ~ r1(X47,X54) ) )
& ( p4(X47)
| ! [X55] :
( ~ p103(X55)
| ~ p4(X55)
| ~ r1(X47,X55) ) ) ) )
& ( ~ p104(X47)
| ( ( ~ p5(X47)
| ! [X56] :
( ~ p104(X56)
| p5(X56)
| ~ r1(X47,X56) ) )
& ( p5(X47)
| ! [X57] :
( ~ p104(X57)
| ~ p5(X57)
| ~ r1(X47,X57) ) ) ) )
& ( ~ p105(X47)
| ( ( ~ p6(X47)
| ! [X58] :
( ~ p105(X58)
| p6(X58)
| ~ r1(X47,X58) ) )
& ( p6(X47)
| ! [X59] :
( ~ p105(X59)
| ~ p6(X59)
| ~ r1(X47,X59) ) ) ) )
& ( ~ ( p100(X47)
& ~ p101(X47) )
| ( ~ ! [X60] :
( ~ ( p101(X60)
& ~ p102(X60)
& p2(X60) )
| ~ r1(X47,X60) )
& ~ ! [X61] :
( ~ ( p101(X61)
& ~ p102(X61)
& ~ p2(X61) )
| ~ r1(X47,X61) ) ) )
& ( ~ ( p101(X47)
& ~ p102(X47) )
| ( ~ ! [X62] :
( ~ ( p102(X62)
& ~ p103(X62)
& p3(X62) )
| ~ r1(X47,X62) )
& ~ ! [X63] :
( ~ ( p102(X63)
& ~ p103(X63)
& ~ p3(X63) )
| ~ r1(X47,X63) ) ) )
& ( ~ ( p102(X47)
& ~ p103(X47) )
| ( ~ ! [X64] :
( ~ ( p103(X64)
& ~ p104(X64)
& p4(X64) )
| ~ r1(X47,X64) )
& ~ ! [X65] :
( ~ ( p103(X65)
& ~ p104(X65)
& ~ p4(X65) )
| ~ r1(X47,X65) ) ) )
& ( ~ ( p103(X47)
& ~ p104(X47) )
| ( ~ ! [X66] :
( ~ ( p104(X66)
& ~ p105(X66)
& p5(X66) )
| ~ r1(X47,X66) )
& ~ ! [X67] :
( ~ ( p104(X67)
& ~ p105(X67)
& ~ p5(X67) )
| ~ r1(X47,X67) ) ) )
& ( ~ ( p104(X47)
& ~ p105(X47) )
| ( ~ ! [X68] :
( ~ ( p105(X68)
& ~ p106(X68)
& p6(X68) )
| ~ r1(X47,X68) )
& ~ ! [X69] :
( ~ ( p105(X69)
& ~ p106(X69)
& ~ p6(X69) )
| ~ r1(X47,X69) ) ) ) )
| ~ r1(X46,X47) )
| ~ r1(X0,X46) )
& ! [X70] :
( ! [X71] :
( ! [X72] :
( ( ( ~ p101(X72)
| p100(X72) )
& ( ~ p102(X72)
| p101(X72) )
& ( ~ p103(X72)
| p102(X72) )
& ( ~ p104(X72)
| p103(X72) )
& ( ~ p105(X72)
| p104(X72) )
& ( ~ p106(X72)
| p105(X72) )
& ( ~ p100(X72)
| ( ( ~ p1(X72)
| ! [X73] :
( ~ p100(X73)
| p1(X73)
| ~ r1(X72,X73) ) )
& ( p1(X72)
| ! [X74] :
( ~ p100(X74)
| ~ p1(X74)
| ~ r1(X72,X74) ) ) ) )
& ( ~ p101(X72)
| ( ( ~ p2(X72)
| ! [X75] :
( ~ p101(X75)
| p2(X75)
| ~ r1(X72,X75) ) )
& ( p2(X72)
| ! [X76] :
( ~ p101(X76)
| ~ p2(X76)
| ~ r1(X72,X76) ) ) ) )
& ( ~ p102(X72)
| ( ( ~ p3(X72)
| ! [X77] :
( ~ p102(X77)
| p3(X77)
| ~ r1(X72,X77) ) )
& ( p3(X72)
| ! [X78] :
( ~ p102(X78)
| ~ p3(X78)
| ~ r1(X72,X78) ) ) ) )
& ( ~ p103(X72)
| ( ( ~ p4(X72)
| ! [X79] :
( ~ p103(X79)
| p4(X79)
| ~ r1(X72,X79) ) )
& ( p4(X72)
| ! [X80] :
( ~ p103(X80)
| ~ p4(X80)
| ~ r1(X72,X80) ) ) ) )
& ( ~ p104(X72)
| ( ( ~ p5(X72)
| ! [X81] :
( ~ p104(X81)
| p5(X81)
| ~ r1(X72,X81) ) )
& ( p5(X72)
| ! [X82] :
( ~ p104(X82)
| ~ p5(X82)
| ~ r1(X72,X82) ) ) ) )
& ( ~ p105(X72)
| ( ( ~ p6(X72)
| ! [X83] :
( ~ p105(X83)
| p6(X83)
| ~ r1(X72,X83) ) )
& ( p6(X72)
| ! [X84] :
( ~ p105(X84)
| ~ p6(X84)
| ~ r1(X72,X84) ) ) ) )
& ( ~ ( p100(X72)
& ~ p101(X72) )
| ( ~ ! [X85] :
( ~ ( p101(X85)
& ~ p102(X85)
& p2(X85) )
| ~ r1(X72,X85) )
& ~ ! [X86] :
( ~ ( p101(X86)
& ~ p102(X86)
& ~ p2(X86) )
| ~ r1(X72,X86) ) ) )
& ( ~ ( p101(X72)
& ~ p102(X72) )
| ( ~ ! [X87] :
( ~ ( p102(X87)
& ~ p103(X87)
& p3(X87) )
| ~ r1(X72,X87) )
& ~ ! [X88] :
( ~ ( p102(X88)
& ~ p103(X88)
& ~ p3(X88) )
| ~ r1(X72,X88) ) ) )
& ( ~ ( p102(X72)
& ~ p103(X72) )
| ( ~ ! [X89] :
( ~ ( p103(X89)
& ~ p104(X89)
& p4(X89) )
| ~ r1(X72,X89) )
& ~ ! [X90] :
( ~ ( p103(X90)
& ~ p104(X90)
& ~ p4(X90) )
| ~ r1(X72,X90) ) ) )
& ( ~ ( p103(X72)
& ~ p104(X72) )
| ( ~ ! [X91] :
( ~ ( p104(X91)
& ~ p105(X91)
& p5(X91) )
| ~ r1(X72,X91) )
& ~ ! [X92] :
( ~ ( p104(X92)
& ~ p105(X92)
& ~ p5(X92) )
| ~ r1(X72,X92) ) ) )
& ( ~ ( p104(X72)
& ~ p105(X72) )
| ( ~ ! [X93] :
( ~ ( p105(X93)
& ~ p106(X93)
& p6(X93) )
| ~ r1(X72,X93) )
& ~ ! [X94] :
( ~ ( p105(X94)
& ~ p106(X94)
& ~ p6(X94) )
| ~ r1(X72,X94) ) ) ) )
| ~ r1(X71,X72) )
| ~ r1(X70,X71) )
| ~ r1(X0,X70) )
& ! [X95] :
( ! [X96] :
( ! [X97] :
( ! [X98] :
( ( ( ~ p101(X98)
| p100(X98) )
& ( ~ p102(X98)
| p101(X98) )
& ( ~ p103(X98)
| p102(X98) )
& ( ~ p104(X98)
| p103(X98) )
& ( ~ p105(X98)
| p104(X98) )
& ( ~ p106(X98)
| p105(X98) )
& ( ~ p100(X98)
| ( ( ~ p1(X98)
| ! [X99] :
( ~ p100(X99)
| p1(X99)
| ~ r1(X98,X99) ) )
& ( p1(X98)
| ! [X100] :
( ~ p100(X100)
| ~ p1(X100)
| ~ r1(X98,X100) ) ) ) )
& ( ~ p101(X98)
| ( ( ~ p2(X98)
| ! [X101] :
( ~ p101(X101)
| p2(X101)
| ~ r1(X98,X101) ) )
& ( p2(X98)
| ! [X102] :
( ~ p101(X102)
| ~ p2(X102)
| ~ r1(X98,X102) ) ) ) )
& ( ~ p102(X98)
| ( ( ~ p3(X98)
| ! [X103] :
( ~ p102(X103)
| p3(X103)
| ~ r1(X98,X103) ) )
& ( p3(X98)
| ! [X104] :
( ~ p102(X104)
| ~ p3(X104)
| ~ r1(X98,X104) ) ) ) )
& ( ~ p103(X98)
| ( ( ~ p4(X98)
| ! [X105] :
( ~ p103(X105)
| p4(X105)
| ~ r1(X98,X105) ) )
& ( p4(X98)
| ! [X106] :
( ~ p103(X106)
| ~ p4(X106)
| ~ r1(X98,X106) ) ) ) )
& ( ~ p104(X98)
| ( ( ~ p5(X98)
| ! [X107] :
( ~ p104(X107)
| p5(X107)
| ~ r1(X98,X107) ) )
& ( p5(X98)
| ! [X108] :
( ~ p104(X108)
| ~ p5(X108)
| ~ r1(X98,X108) ) ) ) )
& ( ~ p105(X98)
| ( ( ~ p6(X98)
| ! [X109] :
( ~ p105(X109)
| p6(X109)
| ~ r1(X98,X109) ) )
& ( p6(X98)
| ! [X110] :
( ~ p105(X110)
| ~ p6(X110)
| ~ r1(X98,X110) ) ) ) )
& ( ~ ( p100(X98)
& ~ p101(X98) )
| ( ~ ! [X111] :
( ~ ( p101(X111)
& ~ p102(X111)
& p2(X111) )
| ~ r1(X98,X111) )
& ~ ! [X112] :
( ~ ( p101(X112)
& ~ p102(X112)
& ~ p2(X112) )
| ~ r1(X98,X112) ) ) )
& ( ~ ( p101(X98)
& ~ p102(X98) )
| ( ~ ! [X113] :
( ~ ( p102(X113)
& ~ p103(X113)
& p3(X113) )
| ~ r1(X98,X113) )
& ~ ! [X114] :
( ~ ( p102(X114)
& ~ p103(X114)
& ~ p3(X114) )
| ~ r1(X98,X114) ) ) )
& ( ~ ( p102(X98)
& ~ p103(X98) )
| ( ~ ! [X115] :
( ~ ( p103(X115)
& ~ p104(X115)
& p4(X115) )
| ~ r1(X98,X115) )
& ~ ! [X116] :
( ~ ( p103(X116)
& ~ p104(X116)
& ~ p4(X116) )
| ~ r1(X98,X116) ) ) )
& ( ~ ( p103(X98)
& ~ p104(X98) )
| ( ~ ! [X117] :
( ~ ( p104(X117)
& ~ p105(X117)
& p5(X117) )
| ~ r1(X98,X117) )
& ~ ! [X118] :
( ~ ( p104(X118)
& ~ p105(X118)
& ~ p5(X118) )
| ~ r1(X98,X118) ) ) )
& ( ~ ( p104(X98)
& ~ p105(X98) )
| ( ~ ! [X119] :
( ~ ( p105(X119)
& ~ p106(X119)
& p6(X119) )
| ~ r1(X98,X119) )
& ~ ! [X120] :
( ~ ( p105(X120)
& ~ p106(X120)
& ~ p6(X120) )
| ~ r1(X98,X120) ) ) ) )
| ~ r1(X97,X98) )
| ~ r1(X96,X97) )
| ~ r1(X95,X96) )
| ~ r1(X0,X95) )
& ! [X121] :
( ! [X122] :
( ! [X123] :
( ! [X124] :
( ! [X125] :
( ( ( ~ p101(X125)
| p100(X125) )
& ( ~ p102(X125)
| p101(X125) )
& ( ~ p103(X125)
| p102(X125) )
& ( ~ p104(X125)
| p103(X125) )
& ( ~ p105(X125)
| p104(X125) )
& ( ~ p106(X125)
| p105(X125) )
& ( ~ p100(X125)
| ( ( ~ p1(X125)
| ! [X126] :
( ~ p100(X126)
| p1(X126)
| ~ r1(X125,X126) ) )
& ( p1(X125)
| ! [X127] :
( ~ p100(X127)
| ~ p1(X127)
| ~ r1(X125,X127) ) ) ) )
& ( ~ p101(X125)
| ( ( ~ p2(X125)
| ! [X128] :
( ~ p101(X128)
| p2(X128)
| ~ r1(X125,X128) ) )
& ( p2(X125)
| ! [X129] :
( ~ p101(X129)
| ~ p2(X129)
| ~ r1(X125,X129) ) ) ) )
& ( ~ p102(X125)
| ( ( ~ p3(X125)
| ! [X130] :
( ~ p102(X130)
| p3(X130)
| ~ r1(X125,X130) ) )
& ( p3(X125)
| ! [X131] :
( ~ p102(X131)
| ~ p3(X131)
| ~ r1(X125,X131) ) ) ) )
& ( ~ p103(X125)
| ( ( ~ p4(X125)
| ! [X132] :
( ~ p103(X132)
| p4(X132)
| ~ r1(X125,X132) ) )
& ( p4(X125)
| ! [X133] :
( ~ p103(X133)
| ~ p4(X133)
| ~ r1(X125,X133) ) ) ) )
& ( ~ p104(X125)
| ( ( ~ p5(X125)
| ! [X134] :
( ~ p104(X134)
| p5(X134)
| ~ r1(X125,X134) ) )
& ( p5(X125)
| ! [X135] :
( ~ p104(X135)
| ~ p5(X135)
| ~ r1(X125,X135) ) ) ) )
& ( ~ p105(X125)
| ( ( ~ p6(X125)
| ! [X136] :
( ~ p105(X136)
| p6(X136)
| ~ r1(X125,X136) ) )
& ( p6(X125)
| ! [X137] :
( ~ p105(X137)
| ~ p6(X137)
| ~ r1(X125,X137) ) ) ) )
& ( ~ ( p100(X125)
& ~ p101(X125) )
| ( ~ ! [X138] :
( ~ ( p101(X138)
& ~ p102(X138)
& p2(X138) )
| ~ r1(X125,X138) )
& ~ ! [X139] :
( ~ ( p101(X139)
& ~ p102(X139)
& ~ p2(X139) )
| ~ r1(X125,X139) ) ) )
& ( ~ ( p101(X125)
& ~ p102(X125) )
| ( ~ ! [X140] :
( ~ ( p102(X140)
& ~ p103(X140)
& p3(X140) )
| ~ r1(X125,X140) )
& ~ ! [X141] :
( ~ ( p102(X141)
& ~ p103(X141)
& ~ p3(X141) )
| ~ r1(X125,X141) ) ) )
& ( ~ ( p102(X125)
& ~ p103(X125) )
| ( ~ ! [X142] :
( ~ ( p103(X142)
& ~ p104(X142)
& p4(X142) )
| ~ r1(X125,X142) )
& ~ ! [X143] :
( ~ ( p103(X143)
& ~ p104(X143)
& ~ p4(X143) )
| ~ r1(X125,X143) ) ) )
& ( ~ ( p103(X125)
& ~ p104(X125) )
| ( ~ ! [X144] :
( ~ ( p104(X144)
& ~ p105(X144)
& p5(X144) )
| ~ r1(X125,X144) )
& ~ ! [X145] :
( ~ ( p104(X145)
& ~ p105(X145)
& ~ p5(X145) )
| ~ r1(X125,X145) ) ) )
& ( ~ ( p104(X125)
& ~ p105(X125) )
| ( ~ ! [X146] :
( ~ ( p105(X146)
& ~ p106(X146)
& p6(X146) )
| ~ r1(X125,X146) )
& ~ ! [X147] :
( ~ ( p105(X147)
& ~ p106(X147)
& ~ p6(X147) )
| ~ r1(X125,X147) ) ) ) )
| ~ r1(X124,X125) )
| ~ r1(X123,X124) )
| ~ r1(X122,X123) )
| ~ r1(X121,X122) )
| ~ r1(X0,X121) ) )
| ~ ! [X148] :
( ! [X149] :
( ! [X150] :
( ! [X151] :
( ! [X152] :
( p3(X152)
| ~ r1(X151,X152) )
| ~ r1(X150,X151) )
| ~ r1(X149,X150) )
| ~ r1(X148,X149) )
| ~ r1(X0,X148) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(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) )
& ( ~ 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) ) ) ) )
& ( ~ ( 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) ) ) )
& ! [X1] :
( ( ( ~ p101(X1)
| p100(X1) )
& ( ~ p102(X1)
| p101(X1) )
& ( ~ p103(X1)
| p102(X1) )
& ( ~ p104(X1)
| p103(X1) )
& ( ~ p105(X1)
| p104(X1) )
& ( ~ p106(X1)
| p105(X1) )
& ( ~ p100(X1)
| ( ( ~ p1(X1)
| ! [X0] :
( ~ p100(X0)
| p1(X0)
| ~ r1(X1,X0) ) )
& ( p1(X1)
| ! [X0] :
( ~ p100(X0)
| ~ p1(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p101(X1)
| ( ( ~ p2(X1)
| ! [X0] :
( ~ p101(X0)
| p2(X0)
| ~ r1(X1,X0) ) )
& ( p2(X1)
| ! [X0] :
( ~ p101(X0)
| ~ p2(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p102(X1)
| ( ( ~ p3(X1)
| ! [X0] :
( ~ p102(X0)
| p3(X0)
| ~ r1(X1,X0) ) )
& ( p3(X1)
| ! [X0] :
( ~ p102(X0)
| ~ p3(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p103(X1)
| ( ( ~ p4(X1)
| ! [X0] :
( ~ p103(X0)
| p4(X0)
| ~ r1(X1,X0) ) )
& ( p4(X1)
| ! [X0] :
( ~ p103(X0)
| ~ p4(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p104(X1)
| ( ( ~ p5(X1)
| ! [X0] :
( ~ p104(X0)
| p5(X0)
| ~ r1(X1,X0) ) )
& ( p5(X1)
| ! [X0] :
( ~ p104(X0)
| ~ p5(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p105(X1)
| ( ( ~ p6(X1)
| ! [X0] :
( ~ p105(X0)
| p6(X0)
| ~ r1(X1,X0) ) )
& ( p6(X1)
| ! [X0] :
( ~ p105(X0)
| ~ p6(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ ( p100(X1)
& ~ p101(X1) )
| ( ~ ! [X0] :
( ~ ( p101(X0)
& ~ p102(X0)
& p2(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p101(X0)
& ~ p102(X0)
& ~ p2(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p101(X1)
& ~ p102(X1) )
| ( ~ ! [X0] :
( ~ ( p102(X0)
& ~ p103(X0)
& p3(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p102(X0)
& ~ p103(X0)
& ~ p3(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p102(X1)
& ~ p103(X1) )
| ( ~ ! [X0] :
( ~ ( p103(X0)
& ~ p104(X0)
& p4(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p103(X0)
& ~ p104(X0)
& ~ p4(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p103(X1)
& ~ p104(X1) )
| ( ~ ! [X0] :
( ~ ( p104(X0)
& ~ p105(X0)
& p5(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p104(X0)
& ~ p105(X0)
& ~ p5(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p104(X1)
& ~ p105(X1) )
| ( ~ ! [X0] :
( ~ ( p105(X0)
& ~ p106(X0)
& p6(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p105(X0)
& ~ p106(X0)
& ~ p6(X0) )
| ~ r1(X1,X0) ) ) ) )
| ~ r1(X0,X1) )
& ! [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) )
& ( ~ 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) ) ) ) )
& ( ~ ( 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) ) ) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ! [X1] :
( ! [X0] :
( ! [X1] :
( ( ( ~ p101(X1)
| p100(X1) )
& ( ~ p102(X1)
| p101(X1) )
& ( ~ p103(X1)
| p102(X1) )
& ( ~ p104(X1)
| p103(X1) )
& ( ~ p105(X1)
| p104(X1) )
& ( ~ p106(X1)
| p105(X1) )
& ( ~ p100(X1)
| ( ( ~ p1(X1)
| ! [X0] :
( ~ p100(X0)
| p1(X0)
| ~ r1(X1,X0) ) )
& ( p1(X1)
| ! [X0] :
( ~ p100(X0)
| ~ p1(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p101(X1)
| ( ( ~ p2(X1)
| ! [X0] :
( ~ p101(X0)
| p2(X0)
| ~ r1(X1,X0) ) )
& ( p2(X1)
| ! [X0] :
( ~ p101(X0)
| ~ p2(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p102(X1)
| ( ( ~ p3(X1)
| ! [X0] :
( ~ p102(X0)
| p3(X0)
| ~ r1(X1,X0) ) )
& ( p3(X1)
| ! [X0] :
( ~ p102(X0)
| ~ p3(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p103(X1)
| ( ( ~ p4(X1)
| ! [X0] :
( ~ p103(X0)
| p4(X0)
| ~ r1(X1,X0) ) )
& ( p4(X1)
| ! [X0] :
( ~ p103(X0)
| ~ p4(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p104(X1)
| ( ( ~ p5(X1)
| ! [X0] :
( ~ p104(X0)
| p5(X0)
| ~ r1(X1,X0) ) )
& ( p5(X1)
| ! [X0] :
( ~ p104(X0)
| ~ p5(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p105(X1)
| ( ( ~ p6(X1)
| ! [X0] :
( ~ p105(X0)
| p6(X0)
| ~ r1(X1,X0) ) )
& ( p6(X1)
| ! [X0] :
( ~ p105(X0)
| ~ p6(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ ( p100(X1)
& ~ p101(X1) )
| ( ~ ! [X0] :
( ~ ( p101(X0)
& ~ p102(X0)
& p2(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p101(X0)
& ~ p102(X0)
& ~ p2(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p101(X1)
& ~ p102(X1) )
| ( ~ ! [X0] :
( ~ ( p102(X0)
& ~ p103(X0)
& p3(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p102(X0)
& ~ p103(X0)
& ~ p3(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p102(X1)
& ~ p103(X1) )
| ( ~ ! [X0] :
( ~ ( p103(X0)
& ~ p104(X0)
& p4(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p103(X0)
& ~ p104(X0)
& ~ p4(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p103(X1)
& ~ p104(X1) )
| ( ~ ! [X0] :
( ~ ( p104(X0)
& ~ p105(X0)
& p5(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p104(X0)
& ~ p105(X0)
& ~ p5(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p104(X1)
& ~ p105(X1) )
| ( ~ ! [X0] :
( ~ ( p105(X0)
& ~ p106(X0)
& p6(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p105(X0)
& ~ p106(X0)
& ~ p6(X0) )
| ~ r1(X1,X0) ) ) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ! [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) )
& ( ~ 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) ) ) ) )
& ( ~ ( 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) ) ) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ( ( ~ p101(X1)
| p100(X1) )
& ( ~ p102(X1)
| p101(X1) )
& ( ~ p103(X1)
| p102(X1) )
& ( ~ p104(X1)
| p103(X1) )
& ( ~ p105(X1)
| p104(X1) )
& ( ~ p106(X1)
| p105(X1) )
& ( ~ p100(X1)
| ( ( ~ p1(X1)
| ! [X0] :
( ~ p100(X0)
| p1(X0)
| ~ r1(X1,X0) ) )
& ( p1(X1)
| ! [X0] :
( ~ p100(X0)
| ~ p1(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p101(X1)
| ( ( ~ p2(X1)
| ! [X0] :
( ~ p101(X0)
| p2(X0)
| ~ r1(X1,X0) ) )
& ( p2(X1)
| ! [X0] :
( ~ p101(X0)
| ~ p2(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p102(X1)
| ( ( ~ p3(X1)
| ! [X0] :
( ~ p102(X0)
| p3(X0)
| ~ r1(X1,X0) ) )
& ( p3(X1)
| ! [X0] :
( ~ p102(X0)
| ~ p3(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p103(X1)
| ( ( ~ p4(X1)
| ! [X0] :
( ~ p103(X0)
| p4(X0)
| ~ r1(X1,X0) ) )
& ( p4(X1)
| ! [X0] :
( ~ p103(X0)
| ~ p4(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p104(X1)
| ( ( ~ p5(X1)
| ! [X0] :
( ~ p104(X0)
| p5(X0)
| ~ r1(X1,X0) ) )
& ( p5(X1)
| ! [X0] :
( ~ p104(X0)
| ~ p5(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p105(X1)
| ( ( ~ p6(X1)
| ! [X0] :
( ~ p105(X0)
| p6(X0)
| ~ r1(X1,X0) ) )
& ( p6(X1)
| ! [X0] :
( ~ p105(X0)
| ~ p6(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ ( p100(X1)
& ~ p101(X1) )
| ( ~ ! [X0] :
( ~ ( p101(X0)
& ~ p102(X0)
& p2(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p101(X0)
& ~ p102(X0)
& ~ p2(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p101(X1)
& ~ p102(X1) )
| ( ~ ! [X0] :
( ~ ( p102(X0)
& ~ p103(X0)
& p3(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p102(X0)
& ~ p103(X0)
& ~ p3(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p102(X1)
& ~ p103(X1) )
| ( ~ ! [X0] :
( ~ ( p103(X0)
& ~ p104(X0)
& p4(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p103(X0)
& ~ p104(X0)
& ~ p4(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p103(X1)
& ~ p104(X1) )
| ( ~ ! [X0] :
( ~ ( p104(X0)
& ~ p105(X0)
& p5(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p104(X0)
& ~ p105(X0)
& ~ p5(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p104(X1)
& ~ p105(X1) )
| ( ~ ! [X0] :
( ~ ( p105(X0)
& ~ p106(X0)
& p6(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p105(X0)
& ~ p106(X0)
& ~ p6(X0) )
| ~ r1(X1,X0) ) ) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
~ ? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(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) )
& ( ~ 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) ) ) ) )
& ( ~ ( 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) ) ) )
& ! [X1] :
( ( ( ~ p101(X1)
| p100(X1) )
& ( ~ p102(X1)
| p101(X1) )
& ( ~ p103(X1)
| p102(X1) )
& ( ~ p104(X1)
| p103(X1) )
& ( ~ p105(X1)
| p104(X1) )
& ( ~ p106(X1)
| p105(X1) )
& ( ~ p100(X1)
| ( ( ~ p1(X1)
| ! [X0] :
( ~ p100(X0)
| p1(X0)
| ~ r1(X1,X0) ) )
& ( p1(X1)
| ! [X0] :
( ~ p100(X0)
| ~ p1(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p101(X1)
| ( ( ~ p2(X1)
| ! [X0] :
( ~ p101(X0)
| p2(X0)
| ~ r1(X1,X0) ) )
& ( p2(X1)
| ! [X0] :
( ~ p101(X0)
| ~ p2(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p102(X1)
| ( ( ~ p3(X1)
| ! [X0] :
( ~ p102(X0)
| p3(X0)
| ~ r1(X1,X0) ) )
& ( p3(X1)
| ! [X0] :
( ~ p102(X0)
| ~ p3(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p103(X1)
| ( ( ~ p4(X1)
| ! [X0] :
( ~ p103(X0)
| p4(X0)
| ~ r1(X1,X0) ) )
& ( p4(X1)
| ! [X0] :
( ~ p103(X0)
| ~ p4(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p104(X1)
| ( ( ~ p5(X1)
| ! [X0] :
( ~ p104(X0)
| p5(X0)
| ~ r1(X1,X0) ) )
& ( p5(X1)
| ! [X0] :
( ~ p104(X0)
| ~ p5(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p105(X1)
| ( ( ~ p6(X1)
| ! [X0] :
( ~ p105(X0)
| p6(X0)
| ~ r1(X1,X0) ) )
& ( p6(X1)
| ! [X0] :
( ~ p105(X0)
| ~ p6(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ ( p100(X1)
& ~ p101(X1) )
| ( ~ ! [X0] :
( ~ ( p101(X0)
& ~ p102(X0)
& p2(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p101(X0)
& ~ p102(X0)
& ~ p2(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p101(X1)
& ~ p102(X1) )
| ( ~ ! [X0] :
( ~ ( p102(X0)
& ~ p103(X0)
& p3(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p102(X0)
& ~ p103(X0)
& ~ p3(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p102(X1)
& ~ p103(X1) )
| ( ~ ! [X0] :
( ~ ( p103(X0)
& ~ p104(X0)
& p4(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p103(X0)
& ~ p104(X0)
& ~ p4(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p103(X1)
& ~ p104(X1) )
| ( ~ ! [X0] :
( ~ ( p104(X0)
& ~ p105(X0)
& p5(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p104(X0)
& ~ p105(X0)
& ~ p5(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p104(X1)
& ~ p105(X1) )
| ( ~ ! [X0] :
( ~ ( p105(X0)
& ~ p106(X0)
& p6(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p105(X0)
& ~ p106(X0)
& ~ p6(X0) )
| ~ r1(X1,X0) ) ) ) )
| ~ r1(X0,X1) )
& ! [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) )
& ( ~ 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) ) ) ) )
& ( ~ ( 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) ) ) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ! [X1] :
( ! [X0] :
( ! [X1] :
( ( ( ~ p101(X1)
| p100(X1) )
& ( ~ p102(X1)
| p101(X1) )
& ( ~ p103(X1)
| p102(X1) )
& ( ~ p104(X1)
| p103(X1) )
& ( ~ p105(X1)
| p104(X1) )
& ( ~ p106(X1)
| p105(X1) )
& ( ~ p100(X1)
| ( ( ~ p1(X1)
| ! [X0] :
( ~ p100(X0)
| p1(X0)
| ~ r1(X1,X0) ) )
& ( p1(X1)
| ! [X0] :
( ~ p100(X0)
| ~ p1(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p101(X1)
| ( ( ~ p2(X1)
| ! [X0] :
( ~ p101(X0)
| p2(X0)
| ~ r1(X1,X0) ) )
& ( p2(X1)
| ! [X0] :
( ~ p101(X0)
| ~ p2(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p102(X1)
| ( ( ~ p3(X1)
| ! [X0] :
( ~ p102(X0)
| p3(X0)
| ~ r1(X1,X0) ) )
& ( p3(X1)
| ! [X0] :
( ~ p102(X0)
| ~ p3(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p103(X1)
| ( ( ~ p4(X1)
| ! [X0] :
( ~ p103(X0)
| p4(X0)
| ~ r1(X1,X0) ) )
& ( p4(X1)
| ! [X0] :
( ~ p103(X0)
| ~ p4(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p104(X1)
| ( ( ~ p5(X1)
| ! [X0] :
( ~ p104(X0)
| p5(X0)
| ~ r1(X1,X0) ) )
& ( p5(X1)
| ! [X0] :
( ~ p104(X0)
| ~ p5(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p105(X1)
| ( ( ~ p6(X1)
| ! [X0] :
( ~ p105(X0)
| p6(X0)
| ~ r1(X1,X0) ) )
& ( p6(X1)
| ! [X0] :
( ~ p105(X0)
| ~ p6(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ ( p100(X1)
& ~ p101(X1) )
| ( ~ ! [X0] :
( ~ ( p101(X0)
& ~ p102(X0)
& p2(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p101(X0)
& ~ p102(X0)
& ~ p2(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p101(X1)
& ~ p102(X1) )
| ( ~ ! [X0] :
( ~ ( p102(X0)
& ~ p103(X0)
& p3(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p102(X0)
& ~ p103(X0)
& ~ p3(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p102(X1)
& ~ p103(X1) )
| ( ~ ! [X0] :
( ~ ( p103(X0)
& ~ p104(X0)
& p4(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p103(X0)
& ~ p104(X0)
& ~ p4(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p103(X1)
& ~ p104(X1) )
| ( ~ ! [X0] :
( ~ ( p104(X0)
& ~ p105(X0)
& p5(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p104(X0)
& ~ p105(X0)
& ~ p5(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p104(X1)
& ~ p105(X1) )
| ( ~ ! [X0] :
( ~ ( p105(X0)
& ~ p106(X0)
& p6(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p105(X0)
& ~ p106(X0)
& ~ p6(X0) )
| ~ r1(X1,X0) ) ) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ! [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) )
& ( ~ 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) ) ) ) )
& ( ~ ( 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) ) ) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ( ( ~ p101(X1)
| p100(X1) )
& ( ~ p102(X1)
| p101(X1) )
& ( ~ p103(X1)
| p102(X1) )
& ( ~ p104(X1)
| p103(X1) )
& ( ~ p105(X1)
| p104(X1) )
& ( ~ p106(X1)
| p105(X1) )
& ( ~ p100(X1)
| ( ( ~ p1(X1)
| ! [X0] :
( ~ p100(X0)
| p1(X0)
| ~ r1(X1,X0) ) )
& ( p1(X1)
| ! [X0] :
( ~ p100(X0)
| ~ p1(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p101(X1)
| ( ( ~ p2(X1)
| ! [X0] :
( ~ p101(X0)
| p2(X0)
| ~ r1(X1,X0) ) )
& ( p2(X1)
| ! [X0] :
( ~ p101(X0)
| ~ p2(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p102(X1)
| ( ( ~ p3(X1)
| ! [X0] :
( ~ p102(X0)
| p3(X0)
| ~ r1(X1,X0) ) )
& ( p3(X1)
| ! [X0] :
( ~ p102(X0)
| ~ p3(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p103(X1)
| ( ( ~ p4(X1)
| ! [X0] :
( ~ p103(X0)
| p4(X0)
| ~ r1(X1,X0) ) )
& ( p4(X1)
| ! [X0] :
( ~ p103(X0)
| ~ p4(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p104(X1)
| ( ( ~ p5(X1)
| ! [X0] :
( ~ p104(X0)
| p5(X0)
| ~ r1(X1,X0) ) )
& ( p5(X1)
| ! [X0] :
( ~ p104(X0)
| ~ p5(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p105(X1)
| ( ( ~ p6(X1)
| ! [X0] :
( ~ p105(X0)
| p6(X0)
| ~ r1(X1,X0) ) )
& ( p6(X1)
| ! [X0] :
( ~ p105(X0)
| ~ p6(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ ( p100(X1)
& ~ p101(X1) )
| ( ~ ! [X0] :
( ~ ( p101(X0)
& ~ p102(X0)
& p2(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p101(X0)
& ~ p102(X0)
& ~ p2(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p101(X1)
& ~ p102(X1) )
| ( ~ ! [X0] :
( ~ ( p102(X0)
& ~ p103(X0)
& p3(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p102(X0)
& ~ p103(X0)
& ~ p3(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p102(X1)
& ~ p103(X1) )
| ( ~ ! [X0] :
( ~ ( p103(X0)
& ~ p104(X0)
& p4(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p103(X0)
& ~ p104(X0)
& ~ p4(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p103(X1)
& ~ p104(X1) )
| ( ~ ! [X0] :
( ~ ( p104(X0)
& ~ p105(X0)
& p5(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p104(X0)
& ~ p105(X0)
& ~ p5(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p104(X1)
& ~ p105(X1) )
| ( ~ ! [X0] :
( ~ ( p105(X0)
& ~ p106(X0)
& p6(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p105(X0)
& ~ p106(X0)
& ~ p6(X0) )
| ~ r1(X1,X0) ) ) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(f948,plain,
( p101(sK180)
| sP119(sK180) ),
inference(subsumption_resolution,[],[f925,f944]) ).
fof(f944,plain,
p100(sK180),
inference(cnf_transformation,[],[f491]) ).
fof(f925,plain,
( ~ p100(sK180)
| p101(sK180)
| sP119(sK180) ),
inference(cnf_transformation,[],[f491]) ).
fof(f492,plain,
! [X0] :
( ~ sP119(X0)
| r1(X0,sK120(X0)) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0] :
( ( p101(sK120(X0))
& ~ p102(sK120(X0))
& p2(sK120(X0))
& r1(X0,sK120(X0)) )
| ~ sP119(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK120])],[f130,f131]) ).
fof(f131,plain,
! [X0] :
( ? [X1] :
( p101(X1)
& ~ p102(X1)
& p2(X1)
& r1(X0,X1) )
=> ( p101(sK120(X0))
& ~ p102(sK120(X0))
& p2(sK120(X0))
& r1(X0,sK120(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f130,plain,
! [X0] :
( ? [X1] :
( p101(X1)
& ~ p102(X1)
& p2(X1)
& r1(X0,X1) )
| ~ sP119(X0) ),
inference(rectify,[],[f129]) ).
fof(f129,plain,
! [X0] :
( ? [X13] :
( p101(X13)
& ~ p102(X13)
& p2(X13)
& r1(X0,X13) )
| ~ sP119(X0) ),
inference(nnf_transformation,[],[f127]) ).
fof(f8761,plain,
( p3(sK168(sK157(sK145(sK133(sK120(sK180))))))
| ~ r1(sK180,sK120(sK180)) ),
inference(resolution,[],[f8760,f1030]) ).
fof(f1030,plain,
r1(sK120(sK180),sK133(sK120(sK180))),
inference(resolution,[],[f1027,f580]) ).
fof(f580,plain,
! [X0] :
( ~ sP94(X0)
| r1(X0,sK133(X0)) ),
inference(cnf_transformation,[],[f208]) ).
fof(f208,plain,
! [X0] :
( ( p102(sK133(X0))
& ~ p103(sK133(X0))
& ~ p3(sK133(X0))
& r1(X0,sK133(X0)) )
| ~ sP94(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK133])],[f206,f207]) ).
fof(f207,plain,
! [X0] :
( ? [X1] :
( p102(X1)
& ~ p103(X1)
& ~ p3(X1)
& r1(X0,X1) )
=> ( p102(sK133(X0))
& ~ p103(sK133(X0))
& ~ p3(sK133(X0))
& r1(X0,sK133(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f206,plain,
! [X0] :
( ? [X1] :
( p102(X1)
& ~ p103(X1)
& ~ p3(X1)
& r1(X0,X1) )
| ~ sP94(X0) ),
inference(rectify,[],[f205]) ).
fof(f205,plain,
! [X23] :
( ? [X39] :
( p102(X39)
& ~ p103(X39)
& ~ p3(X39)
& r1(X23,X39) )
| ~ sP94(X23) ),
inference(nnf_transformation,[],[f102]) ).
fof(f1027,plain,
sP94(sK120(sK180)),
inference(subsumption_resolution,[],[f1026,f952]) ).
fof(f952,plain,
p101(sK120(sK180)),
inference(resolution,[],[f495,f949]) ).
fof(f495,plain,
! [X0] :
( ~ sP119(X0)
| p101(sK120(X0)) ),
inference(cnf_transformation,[],[f132]) ).
fof(f1026,plain,
( sP94(sK120(sK180))
| ~ p101(sK120(sK180)) ),
inference(subsumption_resolution,[],[f1024,f951]) ).
fof(f951,plain,
~ p102(sK120(sK180)),
inference(resolution,[],[f494,f949]) ).
fof(f494,plain,
! [X0] :
( ~ sP119(X0)
| ~ p102(sK120(X0)) ),
inference(cnf_transformation,[],[f132]) ).
fof(f1024,plain,
( p102(sK120(sK180))
| sP94(sK120(sK180))
| ~ p101(sK120(sK180)) ),
inference(resolution,[],[f560,f973]) ).
fof(f973,plain,
sP101(sK120(sK180)),
inference(resolution,[],[f959,f533]) ).
fof(f533,plain,
! [X0] :
( ~ sP109(X0)
| sP101(X0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
! [X0] :
( ( ( ~ p101(X0)
| p100(X0) )
& ( ~ p102(X0)
| p101(X0) )
& ( ~ p103(X0)
| p102(X0) )
& ( ~ p104(X0)
| p103(X0) )
& ( ~ p105(X0)
| p104(X0) )
& sP108(X0)
& sP107(X0)
& sP106(X0)
& sP105(X0)
& sP104(X0)
& sP103(X0)
& sP102(X0)
& sP101(X0)
& sP100(X0)
& sP99(X0)
& sP98(X0) )
| ~ sP109(X0) ),
inference(rectify,[],[f169]) ).
fof(f169,plain,
! [X23] :
( ( ( ~ p101(X23)
| p100(X23) )
& ( ~ p102(X23)
| p101(X23) )
& ( ~ p103(X23)
| p102(X23) )
& ( ~ p104(X23)
| p103(X23) )
& ( ~ p105(X23)
| p104(X23) )
& sP108(X23)
& sP107(X23)
& sP106(X23)
& sP105(X23)
& sP104(X23)
& sP103(X23)
& sP102(X23)
& sP101(X23)
& sP100(X23)
& sP99(X23)
& sP98(X23) )
| ~ sP109(X23) ),
inference(nnf_transformation,[],[f117]) ).
fof(f959,plain,
sP109(sK120(sK180)),
inference(resolution,[],[f958,f915]) ).
fof(f915,plain,
! [X13] :
( ~ r1(sK180,X13)
| sP109(X13) ),
inference(cnf_transformation,[],[f491]) ).
fof(f560,plain,
! [X0] :
( ~ sP101(X0)
| p102(X0)
| sP94(X0)
| ~ p101(X0) ),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
! [X0] :
( ~ p101(X0)
| p102(X0)
| ( sP95(X0)
& sP94(X0) )
| ~ sP101(X0) ),
inference(rectify,[],[f185]) ).
fof(f185,plain,
! [X23] :
( ~ p101(X23)
| p102(X23)
| ( sP95(X23)
& sP94(X23) )
| ~ sP101(X23) ),
inference(nnf_transformation,[],[f109]) ).
fof(f8760,plain,
! [X0] :
( ~ r1(X0,sK133(sK120(sK180)))
| p3(sK168(sK157(sK145(sK133(sK120(sK180))))))
| ~ r1(sK180,X0) ),
inference(resolution,[],[f8758,f1196]) ).
fof(f1196,plain,
r1(sK133(sK120(sK180)),sK145(sK133(sK120(sK180)))),
inference(resolution,[],[f1189,f664]) ).
fof(f664,plain,
! [X0] :
( ~ sP70(X0)
| r1(X0,sK145(X0)) ),
inference(cnf_transformation,[],[f280]) ).
fof(f280,plain,
! [X0] :
( ( p103(sK145(X0))
& ~ p104(sK145(X0))
& ~ p4(sK145(X0))
& r1(X0,sK145(X0)) )
| ~ sP70(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK145])],[f278,f279]) ).
fof(f279,plain,
! [X0] :
( ? [X1] :
( p103(X1)
& ~ p104(X1)
& ~ p4(X1)
& r1(X0,X1) )
=> ( p103(sK145(X0))
& ~ p104(sK145(X0))
& ~ p4(sK145(X0))
& r1(X0,sK145(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f278,plain,
! [X0] :
( ? [X1] :
( p103(X1)
& ~ p104(X1)
& ~ p4(X1)
& r1(X0,X1) )
| ~ sP70(X0) ),
inference(rectify,[],[f277]) ).
fof(f277,plain,
! [X47] :
( ? [X65] :
( p103(X65)
& ~ p104(X65)
& ~ p4(X65)
& r1(X47,X65) )
| ~ sP70(X47) ),
inference(nnf_transformation,[],[f78]) ).
fof(f1189,plain,
sP70(sK133(sK120(sK180))),
inference(subsumption_resolution,[],[f1188,f1031]) ).
fof(f1031,plain,
p102(sK133(sK120(sK180))),
inference(resolution,[],[f1027,f583]) ).
fof(f583,plain,
! [X0] :
( ~ sP94(X0)
| p102(sK133(X0)) ),
inference(cnf_transformation,[],[f208]) ).
fof(f1188,plain,
( sP70(sK133(sK120(sK180)))
| ~ p102(sK133(sK120(sK180))) ),
inference(subsumption_resolution,[],[f1184,f1032]) ).
fof(f1032,plain,
~ p103(sK133(sK120(sK180))),
inference(resolution,[],[f1027,f582]) ).
fof(f582,plain,
! [X0] :
( ~ sP94(X0)
| ~ p103(sK133(X0)) ),
inference(cnf_transformation,[],[f208]) ).
fof(f1184,plain,
( p103(sK133(sK120(sK180)))
| sP70(sK133(sK120(sK180)))
| ~ p102(sK133(sK120(sK180))) ),
inference(resolution,[],[f638,f1044]) ).
fof(f1044,plain,
sP78(sK133(sK120(sK180))),
inference(resolution,[],[f1041,f608]) ).
fof(f608,plain,
! [X0] :
( ~ sP87(X0)
| sP78(X0) ),
inference(cnf_transformation,[],[f234]) ).
fof(f234,plain,
! [X0] :
( ( ( ~ p101(X0)
| p100(X0) )
& ( ~ p102(X0)
| p101(X0) )
& ( ~ p103(X0)
| p102(X0) )
& ( ~ p104(X0)
| p103(X0) )
& ( ~ p105(X0)
| p104(X0) )
& sP86(X0)
& sP85(X0)
& sP84(X0)
& sP83(X0)
& sP82(X0)
& sP81(X0)
& sP80(X0)
& sP79(X0)
& sP78(X0)
& sP77(X0)
& sP76(X0) )
| ~ sP87(X0) ),
inference(rectify,[],[f233]) ).
fof(f233,plain,
! [X47] :
( ( ( ~ p101(X47)
| p100(X47) )
& ( ~ p102(X47)
| p101(X47) )
& ( ~ p103(X47)
| p102(X47) )
& ( ~ p104(X47)
| p103(X47) )
& ( ~ p105(X47)
| p104(X47) )
& sP86(X47)
& sP85(X47)
& sP84(X47)
& sP83(X47)
& sP82(X47)
& sP81(X47)
& sP80(X47)
& sP79(X47)
& sP78(X47)
& sP77(X47)
& sP76(X47) )
| ~ sP87(X47) ),
inference(nnf_transformation,[],[f95]) ).
fof(f1041,plain,
sP87(sK133(sK120(sK180))),
inference(subsumption_resolution,[],[f1040,f958]) ).
fof(f1040,plain,
( sP87(sK133(sK120(sK180)))
| ~ r1(sK180,sK120(sK180)) ),
inference(resolution,[],[f1030,f914]) ).
fof(f914,plain,
! [X14,X15] :
( ~ r1(X14,X15)
| sP87(X15)
| ~ r1(sK180,X14) ),
inference(cnf_transformation,[],[f491]) ).
fof(f638,plain,
! [X0] :
( ~ sP78(X0)
| p103(X0)
| sP70(X0)
| ~ p102(X0) ),
inference(cnf_transformation,[],[f252]) ).
fof(f252,plain,
! [X0] :
( ~ p102(X0)
| p103(X0)
| ( sP71(X0)
& sP70(X0) )
| ~ sP78(X0) ),
inference(rectify,[],[f251]) ).
fof(f251,plain,
! [X47] :
( ~ p102(X47)
| p103(X47)
| ( sP71(X47)
& sP70(X47) )
| ~ sP78(X47) ),
inference(nnf_transformation,[],[f86]) ).
fof(f8758,plain,
! [X0,X1] :
( ~ r1(X0,sK145(sK133(sK120(sK180))))
| p3(sK168(sK157(sK145(sK133(sK120(sK180))))))
| ~ r1(X1,X0)
| ~ r1(sK180,X1) ),
inference(resolution,[],[f2041,f1528]) ).
fof(f1528,plain,
r1(sK145(sK133(sK120(sK180))),sK157(sK145(sK133(sK120(sK180))))),
inference(resolution,[],[f1513,f748]) ).
fof(f748,plain,
! [X0] :
( ~ sP46(X0)
| r1(X0,sK157(X0)) ),
inference(cnf_transformation,[],[f352]) ).
fof(f352,plain,
! [X0] :
( ( p104(sK157(X0))
& ~ p105(sK157(X0))
& ~ p5(sK157(X0))
& r1(X0,sK157(X0)) )
| ~ sP46(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK157])],[f350,f351]) ).
fof(f351,plain,
! [X0] :
( ? [X1] :
( p104(X1)
& ~ p105(X1)
& ~ p5(X1)
& r1(X0,X1) )
=> ( p104(sK157(X0))
& ~ p105(sK157(X0))
& ~ p5(sK157(X0))
& r1(X0,sK157(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f350,plain,
! [X0] :
( ? [X1] :
( p104(X1)
& ~ p105(X1)
& ~ p5(X1)
& r1(X0,X1) )
| ~ sP46(X0) ),
inference(rectify,[],[f349]) ).
fof(f349,plain,
! [X72] :
( ? [X92] :
( p104(X92)
& ~ p105(X92)
& ~ p5(X92)
& r1(X72,X92) )
| ~ sP46(X72) ),
inference(nnf_transformation,[],[f54]) ).
fof(f1513,plain,
sP46(sK145(sK133(sK120(sK180)))),
inference(subsumption_resolution,[],[f1512,f1197]) ).
fof(f1197,plain,
p103(sK145(sK133(sK120(sK180)))),
inference(resolution,[],[f1189,f667]) ).
fof(f667,plain,
! [X0] :
( ~ sP70(X0)
| p103(sK145(X0)) ),
inference(cnf_transformation,[],[f280]) ).
fof(f1512,plain,
( sP46(sK145(sK133(sK120(sK180))))
| ~ p103(sK145(sK133(sK120(sK180)))) ),
inference(subsumption_resolution,[],[f1504,f1198]) ).
fof(f1198,plain,
~ p104(sK145(sK133(sK120(sK180)))),
inference(resolution,[],[f1189,f666]) ).
fof(f666,plain,
! [X0] :
( ~ sP70(X0)
| ~ p104(sK145(X0)) ),
inference(cnf_transformation,[],[f280]) ).
fof(f1504,plain,
( p104(sK145(sK133(sK120(sK180))))
| sP46(sK145(sK133(sK120(sK180))))
| ~ p103(sK145(sK133(sK120(sK180)))) ),
inference(resolution,[],[f716,f1271]) ).
fof(f1271,plain,
sP55(sK145(sK133(sK120(sK180)))),
inference(resolution,[],[f1269,f683]) ).
fof(f683,plain,
! [X0] :
( ~ sP65(X0)
| sP55(X0) ),
inference(cnf_transformation,[],[f298]) ).
fof(f298,plain,
! [X0] :
( ( ( ~ p101(X0)
| p100(X0) )
& ( ~ p102(X0)
| p101(X0) )
& ( ~ p103(X0)
| p102(X0) )
& ( ~ p104(X0)
| p103(X0) )
& ( ~ p105(X0)
| p104(X0) )
& sP64(X0)
& sP63(X0)
& sP62(X0)
& sP61(X0)
& sP60(X0)
& sP59(X0)
& sP58(X0)
& sP57(X0)
& sP56(X0)
& sP55(X0)
& sP54(X0) )
| ~ sP65(X0) ),
inference(rectify,[],[f297]) ).
fof(f297,plain,
! [X72] :
( ( ( ~ p101(X72)
| p100(X72) )
& ( ~ p102(X72)
| p101(X72) )
& ( ~ p103(X72)
| p102(X72) )
& ( ~ p104(X72)
| p103(X72) )
& ( ~ p105(X72)
| p104(X72) )
& sP64(X72)
& sP63(X72)
& sP62(X72)
& sP61(X72)
& sP60(X72)
& sP59(X72)
& sP58(X72)
& sP57(X72)
& sP56(X72)
& sP55(X72)
& sP54(X72) )
| ~ sP65(X72) ),
inference(nnf_transformation,[],[f73]) ).
fof(f1269,plain,
sP65(sK145(sK133(sK120(sK180)))),
inference(subsumption_resolution,[],[f1268,f958]) ).
fof(f1268,plain,
( sP65(sK145(sK133(sK120(sK180))))
| ~ r1(sK180,sK120(sK180)) ),
inference(resolution,[],[f1245,f1030]) ).
fof(f1245,plain,
! [X0] :
( ~ r1(X0,sK133(sK120(sK180)))
| sP65(sK145(sK133(sK120(sK180))))
| ~ r1(sK180,X0) ),
inference(resolution,[],[f1196,f913]) ).
fof(f913,plain,
! [X18,X16,X17] :
( ~ r1(X17,X18)
| sP65(X18)
| ~ r1(X16,X17)
| ~ r1(sK180,X16) ),
inference(cnf_transformation,[],[f491]) ).
fof(f716,plain,
! [X0] :
( ~ sP55(X0)
| p104(X0)
| sP46(X0)
| ~ p103(X0) ),
inference(cnf_transformation,[],[f318]) ).
fof(f318,plain,
! [X0] :
( ~ p103(X0)
| p104(X0)
| ( sP47(X0)
& sP46(X0) )
| ~ sP55(X0) ),
inference(rectify,[],[f317]) ).
fof(f317,plain,
! [X72] :
( ~ p103(X72)
| p104(X72)
| ( sP47(X72)
& sP46(X72) )
| ~ sP55(X72) ),
inference(nnf_transformation,[],[f63]) ).
fof(f2041,plain,
! [X2,X0,X1] :
( ~ r1(X0,sK157(sK145(sK133(sK120(sK180)))))
| p3(sK168(sK157(sK145(sK133(sK120(sK180))))))
| ~ r1(X1,X0)
| ~ r1(X2,X1)
| ~ r1(sK180,X2) ),
inference(resolution,[],[f1958,f910]) ).
fof(f910,plain,
! [X31,X28,X29,X32,X30] :
( ~ r1(X31,X32)
| p3(X32)
| ~ r1(X30,X31)
| ~ r1(X29,X30)
| ~ r1(X28,X29)
| ~ r1(sK180,X28) ),
inference(cnf_transformation,[],[f491]) ).
fof(f1958,plain,
r1(sK157(sK145(sK133(sK120(sK180)))),sK168(sK157(sK145(sK133(sK120(sK180)))))),
inference(resolution,[],[f1873,f828]) ).
fof(f828,plain,
! [X0] :
( ~ sP23(X0)
| r1(X0,sK168(X0)) ),
inference(cnf_transformation,[],[f420]) ).
fof(f420,plain,
! [X0] :
( ( p105(sK168(X0))
& p6(sK168(X0))
& r1(X0,sK168(X0)) )
| ~ sP23(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK168])],[f418,f419]) ).
fof(f419,plain,
! [X0] :
( ? [X1] :
( p105(X1)
& p6(X1)
& r1(X0,X1) )
=> ( p105(sK168(X0))
& p6(sK168(X0))
& r1(X0,sK168(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f418,plain,
! [X0] :
( ? [X1] :
( p105(X1)
& p6(X1)
& r1(X0,X1) )
| ~ sP23(X0) ),
inference(rectify,[],[f417]) ).
fof(f417,plain,
! [X98] :
( ? [X119] :
( p105(X119)
& p6(X119)
& r1(X98,X119) )
| ~ sP23(X98) ),
inference(nnf_transformation,[],[f31]) ).
fof(f1873,plain,
sP23(sK157(sK145(sK133(sK120(sK180))))),
inference(subsumption_resolution,[],[f1872,f1529]) ).
fof(f1529,plain,
p104(sK157(sK145(sK133(sK120(sK180))))),
inference(resolution,[],[f1513,f751]) ).
fof(f751,plain,
! [X0] :
( ~ sP46(X0)
| p104(sK157(X0)) ),
inference(cnf_transformation,[],[f352]) ).
fof(f1872,plain,
( sP23(sK157(sK145(sK133(sK120(sK180)))))
| ~ p104(sK157(sK145(sK133(sK120(sK180))))) ),
inference(subsumption_resolution,[],[f1870,f1530]) ).
fof(f1530,plain,
~ p105(sK157(sK145(sK133(sK120(sK180))))),
inference(resolution,[],[f1513,f750]) ).
fof(f750,plain,
! [X0] :
( ~ sP46(X0)
| ~ p105(sK157(X0)) ),
inference(cnf_transformation,[],[f352]) ).
fof(f1870,plain,
( p105(sK157(sK145(sK133(sK120(sK180)))))
| sP23(sK157(sK145(sK133(sK120(sK180)))))
| ~ p104(sK157(sK145(sK133(sK120(sK180))))) ),
inference(resolution,[],[f1853,f795]) ).
fof(f795,plain,
! [X0] :
( ~ sP32(X0)
| p105(X0)
| sP23(X0)
| ~ p104(X0) ),
inference(cnf_transformation,[],[f384]) ).
fof(f384,plain,
! [X0] :
( ~ p104(X0)
| p105(X0)
| ( sP23(X0)
& sP22(X0) )
| ~ sP32(X0) ),
inference(rectify,[],[f383]) ).
fof(f383,plain,
! [X98] :
( ~ p104(X98)
| p105(X98)
| ( sP23(X98)
& sP22(X98) )
| ~ sP32(X98) ),
inference(nnf_transformation,[],[f40]) ).
fof(f1853,plain,
sP32(sK157(sK145(sK133(sK120(sK180))))),
inference(resolution,[],[f1852,f758]) ).
fof(f758,plain,
! [X0] :
( ~ sP43(X0)
| sP32(X0) ),
inference(cnf_transformation,[],[f362]) ).
fof(f362,plain,
! [X0] :
( ( ( ~ p101(X0)
| p100(X0) )
& ( ~ p102(X0)
| p101(X0) )
& ( ~ p103(X0)
| p102(X0) )
& ( ~ p104(X0)
| p103(X0) )
& ( ~ p105(X0)
| p104(X0) )
& sP42(X0)
& sP41(X0)
& sP40(X0)
& sP39(X0)
& sP38(X0)
& sP37(X0)
& sP36(X0)
& sP35(X0)
& sP34(X0)
& sP33(X0)
& sP32(X0) )
| ~ sP43(X0) ),
inference(rectify,[],[f361]) ).
fof(f361,plain,
! [X98] :
( ( ( ~ p101(X98)
| p100(X98) )
& ( ~ p102(X98)
| p101(X98) )
& ( ~ p103(X98)
| p102(X98) )
& ( ~ p104(X98)
| p103(X98) )
& ( ~ p105(X98)
| p104(X98) )
& sP42(X98)
& sP41(X98)
& sP40(X98)
& sP39(X98)
& sP38(X98)
& sP37(X98)
& sP36(X98)
& sP35(X98)
& sP34(X98)
& sP33(X98)
& sP32(X98) )
| ~ sP43(X98) ),
inference(nnf_transformation,[],[f51]) ).
fof(f1852,plain,
sP43(sK157(sK145(sK133(sK120(sK180))))),
inference(subsumption_resolution,[],[f1851,f958]) ).
fof(f1851,plain,
( sP43(sK157(sK145(sK133(sK120(sK180)))))
| ~ r1(sK180,sK120(sK180)) ),
inference(resolution,[],[f1776,f1030]) ).
fof(f1776,plain,
! [X0] :
( ~ r1(X0,sK133(sK120(sK180)))
| sP43(sK157(sK145(sK133(sK120(sK180)))))
| ~ r1(sK180,X0) ),
inference(resolution,[],[f1632,f1196]) ).
fof(f1632,plain,
! [X0,X1] :
( ~ r1(X0,sK145(sK133(sK120(sK180))))
| sP43(sK157(sK145(sK133(sK120(sK180)))))
| ~ r1(X1,X0)
| ~ r1(sK180,X1) ),
inference(resolution,[],[f1528,f912]) ).
fof(f912,plain,
! [X21,X19,X22,X20] :
( ~ r1(X21,X22)
| sP43(X22)
| ~ r1(X20,X21)
| ~ r1(X19,X20)
| ~ r1(sK180,X19) ),
inference(cnf_transformation,[],[f491]) ).
fof(f8796,plain,
~ p3(sK168(sK157(sK145(sK133(sK120(sK180)))))),
inference(resolution,[],[f8795,f6940]) ).
fof(f6940,plain,
( ~ p102(sK168(sK157(sK145(sK133(sK120(sK180))))))
| ~ p3(sK168(sK157(sK145(sK133(sK120(sK180)))))) ),
inference(subsumption_resolution,[],[f6939,f1861]) ).
fof(f1861,plain,
sP40(sK157(sK145(sK133(sK120(sK180))))),
inference(resolution,[],[f1852,f766]) ).
fof(f766,plain,
! [X0] :
( ~ sP43(X0)
| sP40(X0) ),
inference(cnf_transformation,[],[f362]) ).
fof(f6939,plain,
( ~ p102(sK168(sK157(sK145(sK133(sK120(sK180))))))
| ~ p3(sK168(sK157(sK145(sK133(sK120(sK180))))))
| ~ sP40(sK157(sK145(sK133(sK120(sK180))))) ),
inference(subsumption_resolution,[],[f6938,f1964]) ).
fof(f1964,plain,
p102(sK157(sK145(sK133(sK120(sK180))))),
inference(subsumption_resolution,[],[f1866,f1869]) ).
fof(f1869,plain,
p103(sK157(sK145(sK133(sK120(sK180))))),
inference(subsumption_resolution,[],[f1865,f1529]) ).
fof(f1865,plain,
( p103(sK157(sK145(sK133(sK120(sK180)))))
| ~ p104(sK157(sK145(sK133(sK120(sK180))))) ),
inference(resolution,[],[f1852,f770]) ).
fof(f770,plain,
! [X0] :
( ~ sP43(X0)
| p103(X0)
| ~ p104(X0) ),
inference(cnf_transformation,[],[f362]) ).
fof(f1866,plain,
( p102(sK157(sK145(sK133(sK120(sK180)))))
| ~ p103(sK157(sK145(sK133(sK120(sK180))))) ),
inference(resolution,[],[f1852,f771]) ).
fof(f771,plain,
! [X0] :
( ~ sP43(X0)
| p102(X0)
| ~ p103(X0) ),
inference(cnf_transformation,[],[f362]) ).
fof(f6938,plain,
( ~ p102(sK168(sK157(sK145(sK133(sK120(sK180))))))
| ~ p3(sK168(sK157(sK145(sK133(sK120(sK180))))))
| ~ p102(sK157(sK145(sK133(sK120(sK180)))))
| ~ sP40(sK157(sK145(sK133(sK120(sK180))))) ),
inference(subsumption_resolution,[],[f6896,f4936]) ).
fof(f4936,plain,
~ p3(sK157(sK145(sK133(sK120(sK180))))),
inference(subsumption_resolution,[],[f4935,f1278]) ).
fof(f1278,plain,
sP62(sK145(sK133(sK120(sK180)))),
inference(resolution,[],[f1269,f690]) ).
fof(f690,plain,
! [X0] :
( ~ sP65(X0)
| sP62(X0) ),
inference(cnf_transformation,[],[f298]) ).
fof(f4935,plain,
( ~ p3(sK157(sK145(sK133(sK120(sK180)))))
| ~ sP62(sK145(sK133(sK120(sK180)))) ),
inference(subsumption_resolution,[],[f4934,f1287]) ).
fof(f1287,plain,
p102(sK145(sK133(sK120(sK180)))),
inference(subsumption_resolution,[],[f1283,f1197]) ).
fof(f1283,plain,
( p102(sK145(sK133(sK120(sK180))))
| ~ p103(sK145(sK133(sK120(sK180)))) ),
inference(resolution,[],[f1269,f695]) ).
fof(f695,plain,
! [X0] :
( ~ sP65(X0)
| p102(X0)
| ~ p103(X0) ),
inference(cnf_transformation,[],[f298]) ).
fof(f4934,plain,
( ~ p3(sK157(sK145(sK133(sK120(sK180)))))
| ~ p102(sK145(sK133(sK120(sK180))))
| ~ sP62(sK145(sK133(sK120(sK180)))) ),
inference(subsumption_resolution,[],[f4933,f1964]) ).
fof(f4933,plain,
( ~ p102(sK157(sK145(sK133(sK120(sK180)))))
| ~ p3(sK157(sK145(sK133(sK120(sK180)))))
| ~ p102(sK145(sK133(sK120(sK180))))
| ~ sP62(sK145(sK133(sK120(sK180)))) ),
inference(subsumption_resolution,[],[f4889,f3406]) ).
fof(f3406,plain,
~ p3(sK145(sK133(sK120(sK180)))),
inference(subsumption_resolution,[],[f3405,f1050]) ).
fof(f1050,plain,
sP84(sK133(sK120(sK180))),
inference(resolution,[],[f1041,f614]) ).
fof(f614,plain,
! [X0] :
( ~ sP87(X0)
| sP84(X0) ),
inference(cnf_transformation,[],[f234]) ).
fof(f3405,plain,
( ~ p3(sK145(sK133(sK120(sK180))))
| ~ sP84(sK133(sK120(sK180))) ),
inference(subsumption_resolution,[],[f3404,f1031]) ).
fof(f3404,plain,
( ~ p3(sK145(sK133(sK120(sK180))))
| ~ p102(sK133(sK120(sK180)))
| ~ sP84(sK133(sK120(sK180))) ),
inference(subsumption_resolution,[],[f3403,f1287]) ).
fof(f3403,plain,
( ~ p102(sK145(sK133(sK120(sK180))))
| ~ p3(sK145(sK133(sK120(sK180))))
| ~ p102(sK133(sK120(sK180)))
| ~ sP84(sK133(sK120(sK180))) ),
inference(subsumption_resolution,[],[f3369,f1033]) ).
fof(f1033,plain,
~ p3(sK133(sK120(sK180))),
inference(resolution,[],[f1027,f581]) ).
fof(f581,plain,
! [X0] :
( ~ sP94(X0)
| ~ p3(sK133(X0)) ),
inference(cnf_transformation,[],[f208]) ).
fof(f3369,plain,
( p3(sK133(sK120(sK180)))
| ~ p102(sK145(sK133(sK120(sK180))))
| ~ p3(sK145(sK133(sK120(sK180))))
| ~ p102(sK133(sK120(sK180)))
| ~ sP84(sK133(sK120(sK180))) ),
inference(resolution,[],[f626,f1196]) ).
fof(f626,plain,
! [X2,X0] :
( ~ r1(X0,X2)
| p3(X0)
| ~ p102(X2)
| ~ p3(X2)
| ~ p102(X0)
| ~ sP84(X0) ),
inference(cnf_transformation,[],[f240]) ).
fof(f240,plain,
! [X0] :
( ~ p102(X0)
| ( ( ~ p3(X0)
| ! [X1] :
( ~ p102(X1)
| p3(X1)
| ~ r1(X0,X1) ) )
& ( p3(X0)
| ! [X2] :
( ~ p102(X2)
| ~ p3(X2)
| ~ r1(X0,X2) ) ) )
| ~ sP84(X0) ),
inference(rectify,[],[f239]) ).
fof(f239,plain,
! [X47] :
( ~ p102(X47)
| ( ( ~ p3(X47)
| ! [X52] :
( ~ p102(X52)
| p3(X52)
| ~ r1(X47,X52) ) )
& ( p3(X47)
| ! [X53] :
( ~ p102(X53)
| ~ p3(X53)
| ~ r1(X47,X53) ) ) )
| ~ sP84(X47) ),
inference(nnf_transformation,[],[f92]) ).
fof(f4889,plain,
( p3(sK145(sK133(sK120(sK180))))
| ~ p102(sK157(sK145(sK133(sK120(sK180)))))
| ~ p3(sK157(sK145(sK133(sK120(sK180)))))
| ~ p102(sK145(sK133(sK120(sK180))))
| ~ sP62(sK145(sK133(sK120(sK180)))) ),
inference(resolution,[],[f702,f1528]) ).
fof(f702,plain,
! [X2,X0] :
( ~ r1(X0,X2)
| p3(X0)
| ~ p102(X2)
| ~ p3(X2)
| ~ p102(X0)
| ~ sP62(X0) ),
inference(cnf_transformation,[],[f304]) ).
fof(f304,plain,
! [X0] :
( ~ p102(X0)
| ( ( ~ p3(X0)
| ! [X1] :
( ~ p102(X1)
| p3(X1)
| ~ r1(X0,X1) ) )
& ( p3(X0)
| ! [X2] :
( ~ p102(X2)
| ~ p3(X2)
| ~ r1(X0,X2) ) ) )
| ~ sP62(X0) ),
inference(rectify,[],[f303]) ).
fof(f303,plain,
! [X72] :
( ~ p102(X72)
| ( ( ~ p3(X72)
| ! [X77] :
( ~ p102(X77)
| p3(X77)
| ~ r1(X72,X77) ) )
& ( p3(X72)
| ! [X78] :
( ~ p102(X78)
| ~ p3(X78)
| ~ r1(X72,X78) ) ) )
| ~ sP62(X72) ),
inference(nnf_transformation,[],[f70]) ).
fof(f6896,plain,
( p3(sK157(sK145(sK133(sK120(sK180)))))
| ~ p102(sK168(sK157(sK145(sK133(sK120(sK180))))))
| ~ p3(sK168(sK157(sK145(sK133(sK120(sK180))))))
| ~ p102(sK157(sK145(sK133(sK120(sK180)))))
| ~ sP40(sK157(sK145(sK133(sK120(sK180))))) ),
inference(resolution,[],[f778,f1958]) ).
fof(f778,plain,
! [X2,X0] :
( ~ r1(X0,X2)
| p3(X0)
| ~ p102(X2)
| ~ p3(X2)
| ~ p102(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f368]) ).
fof(f368,plain,
! [X0] :
( ~ p102(X0)
| ( ( ~ p3(X0)
| ! [X1] :
( ~ p102(X1)
| p3(X1)
| ~ r1(X0,X1) ) )
& ( p3(X0)
| ! [X2] :
( ~ p102(X2)
| ~ p3(X2)
| ~ r1(X0,X2) ) ) )
| ~ sP40(X0) ),
inference(rectify,[],[f367]) ).
fof(f367,plain,
! [X98] :
( ~ p102(X98)
| ( ( ~ p3(X98)
| ! [X103] :
( ~ p102(X103)
| p3(X103)
| ~ r1(X98,X103) ) )
& ( p3(X98)
| ! [X104] :
( ~ p102(X104)
| ~ p3(X104)
| ~ r1(X98,X104) ) ) )
| ~ sP40(X98) ),
inference(nnf_transformation,[],[f48]) ).
fof(f8795,plain,
p102(sK168(sK157(sK145(sK133(sK120(sK180)))))),
inference(subsumption_resolution,[],[f8779,f8793]) ).
fof(f8793,plain,
p103(sK168(sK157(sK145(sK133(sK120(sK180)))))),
inference(subsumption_resolution,[],[f8778,f8782]) ).
fof(f8782,plain,
p104(sK168(sK157(sK145(sK133(sK120(sK180)))))),
inference(subsumption_resolution,[],[f8777,f1959]) ).
fof(f1959,plain,
p105(sK168(sK157(sK145(sK133(sK120(sK180)))))),
inference(resolution,[],[f1873,f830]) ).
fof(f830,plain,
! [X0] :
( ~ sP23(X0)
| p105(sK168(X0)) ),
inference(cnf_transformation,[],[f420]) ).
fof(f8777,plain,
( p104(sK168(sK157(sK145(sK133(sK120(sK180))))))
| ~ p105(sK168(sK157(sK145(sK133(sK120(sK180)))))) ),
inference(resolution,[],[f8765,f845]) ).
fof(f845,plain,
! [X0] :
( ~ sP21(X0)
| p104(X0)
| ~ p105(X0) ),
inference(cnf_transformation,[],[f426]) ).
fof(f426,plain,
! [X0] :
( ( ( ~ p101(X0)
| p100(X0) )
& ( ~ p102(X0)
| p101(X0) )
& ( ~ p103(X0)
| p102(X0) )
& ( ~ p104(X0)
| p103(X0) )
& ( ~ p105(X0)
| p104(X0) )
& sP20(X0)
& sP19(X0)
& sP18(X0)
& sP17(X0)
& sP16(X0)
& sP15(X0)
& sP14(X0)
& sP13(X0)
& sP12(X0)
& sP11(X0)
& sP10(X0) )
| ~ sP21(X0) ),
inference(rectify,[],[f425]) ).
fof(f425,plain,
! [X125] :
( ( ( ~ p101(X125)
| p100(X125) )
& ( ~ p102(X125)
| p101(X125) )
& ( ~ p103(X125)
| p102(X125) )
& ( ~ p104(X125)
| p103(X125) )
& ( ~ p105(X125)
| p104(X125) )
& sP20(X125)
& sP19(X125)
& sP18(X125)
& sP17(X125)
& sP16(X125)
& sP15(X125)
& sP14(X125)
& sP13(X125)
& sP12(X125)
& sP11(X125)
& sP10(X125) )
| ~ sP21(X125) ),
inference(nnf_transformation,[],[f29]) ).
fof(f8765,plain,
sP21(sK168(sK157(sK145(sK133(sK120(sK180)))))),
inference(subsumption_resolution,[],[f8764,f958]) ).
fof(f8764,plain,
( sP21(sK168(sK157(sK145(sK133(sK120(sK180))))))
| ~ r1(sK180,sK120(sK180)) ),
inference(resolution,[],[f8763,f1030]) ).
fof(f8763,plain,
! [X0] :
( ~ r1(X0,sK133(sK120(sK180)))
| sP21(sK168(sK157(sK145(sK133(sK120(sK180))))))
| ~ r1(sK180,X0) ),
inference(resolution,[],[f8759,f1196]) ).
fof(f8759,plain,
! [X0,X1] :
( ~ r1(X0,sK145(sK133(sK120(sK180))))
| sP21(sK168(sK157(sK145(sK133(sK120(sK180))))))
| ~ r1(X1,X0)
| ~ r1(sK180,X1) ),
inference(resolution,[],[f2042,f1528]) ).
fof(f2042,plain,
! [X2,X0,X1] :
( ~ r1(X0,sK157(sK145(sK133(sK120(sK180)))))
| sP21(sK168(sK157(sK145(sK133(sK120(sK180))))))
| ~ r1(X1,X0)
| ~ r1(X2,X1)
| ~ r1(sK180,X2) ),
inference(resolution,[],[f1958,f911]) ).
fof(f911,plain,
! [X26,X27,X24,X25,X23] :
( ~ r1(X26,X27)
| sP21(X27)
| ~ r1(X25,X26)
| ~ r1(X24,X25)
| ~ r1(X23,X24)
| ~ r1(sK180,X23) ),
inference(cnf_transformation,[],[f491]) ).
fof(f8778,plain,
( p103(sK168(sK157(sK145(sK133(sK120(sK180))))))
| ~ p104(sK168(sK157(sK145(sK133(sK120(sK180)))))) ),
inference(resolution,[],[f8765,f846]) ).
fof(f846,plain,
! [X0] :
( ~ sP21(X0)
| p103(X0)
| ~ p104(X0) ),
inference(cnf_transformation,[],[f426]) ).
fof(f8779,plain,
( p102(sK168(sK157(sK145(sK133(sK120(sK180))))))
| ~ p103(sK168(sK157(sK145(sK133(sK120(sK180)))))) ),
inference(resolution,[],[f8765,f847]) ).
fof(f847,plain,
! [X0] :
( ~ sP21(X0)
| p102(X0)
| ~ p103(X0) ),
inference(cnf_transformation,[],[f426]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL636+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n029.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Apr 29 22:57:04 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (26864)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (26866)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (26865)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 % (26867)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.38 % (26869)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38 % (26871)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38 % (26868)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38 % (26872)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [1]
% 0.15/0.40 TRYING [2]
% 0.15/0.40 TRYING [3]
% 0.15/0.40 TRYING [3]
% 0.15/0.40 TRYING [1]
% 0.15/0.40 TRYING [2]
% 0.15/0.40 TRYING [1]
% 0.15/0.41 TRYING [2]
% 0.15/0.41 TRYING [4]
% 0.15/0.41 TRYING [3]
% 0.15/0.41 TRYING [3]
% 0.21/0.41 TRYING [4]
% 0.21/0.42 TRYING [4]
% 0.21/0.42 TRYING [4]
% 0.21/0.42 TRYING [5]
% 0.21/0.43 TRYING [5]
% 0.21/0.43 TRYING [5]
% 0.21/0.44 TRYING [5]
% 0.21/0.45 TRYING [6]
% 0.21/0.45 TRYING [6]
% 0.21/0.47 TRYING [6]
% 0.21/0.47 TRYING [6]
% 0.21/0.49 TRYING [7]
% 0.21/0.49 TRYING [7]
% 0.21/0.50 % (26869)First to succeed.
% 0.21/0.51 % (26869)Refutation found. Thanks to Tanya!
% 0.21/0.51 % SZS status Theorem for theBenchmark
% 0.21/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.51 % (26869)------------------------------
% 0.21/0.51 % (26869)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.51 % (26869)Termination reason: Refutation
% 0.21/0.51
% 0.21/0.51 % (26869)Memory used [KB]: 3037
% 0.21/0.51 % (26869)Time elapsed: 0.125 s
% 0.21/0.51 % (26869)Instructions burned: 286 (million)
% 0.21/0.51 % (26869)------------------------------
% 0.21/0.51 % (26869)------------------------------
% 0.21/0.51 % (26864)Success in time 0.146 s
%------------------------------------------------------------------------------