%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL674+1.010 : 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 : n025.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 : Sun May 5 07:51:26 EDT 2024
% Result : Theorem 0.20s 0.42s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 50
% Syntax : Number of formulae : 147 ( 32 unt; 0 def)
% Number of atoms : 2236 ( 0 equ)
% Maximal formula atoms : 226 ( 15 avg)
% Number of connectives : 3675 (1586 ~;1089 |; 994 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 51 ( 8 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 67 ( 66 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 488 ( 406 !; 82 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3905,plain,
$false,
inference(subsumption_resolution,[],[f3881,f1378]) ).
fof(f1378,plain,
~ p5(sK49(sK46(sK44(sK42(sK62))))),
inference(resolution,[],[f1323,f284]) ).
fof(f284,plain,
! [X0] :
( ~ sP12(X0)
| ~ p5(sK49(X0)) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0] :
( ( p104(sK49(X0))
& ~ p105(sK49(X0))
& ~ p5(sK49(X0))
& r1(X0,sK49(X0)) )
| ~ sP12(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK49])],[f128,f129]) ).
fof(f129,plain,
! [X0] :
( ? [X1] :
( p104(X1)
& ~ p105(X1)
& ~ p5(X1)
& r1(X0,X1) )
=> ( p104(sK49(X0))
& ~ p105(sK49(X0))
& ~ p5(sK49(X0))
& r1(X0,sK49(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f128,plain,
! [X0] :
( ? [X1] :
( p104(X1)
& ~ p105(X1)
& ~ p5(X1)
& r1(X0,X1) )
| ~ sP12(X0) ),
inference(rectify,[],[f127]) ).
fof(f127,plain,
! [X1] :
( ? [X31] :
( p104(X31)
& ~ p105(X31)
& ~ p5(X31)
& r1(X1,X31) )
| ~ sP12(X1) ),
inference(nnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X1] :
( ? [X31] :
( p104(X31)
& ~ p105(X31)
& ~ p5(X31)
& r1(X1,X31) )
| ~ sP12(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f1323,plain,
sP12(sK46(sK44(sK42(sK62)))),
inference(subsumption_resolution,[],[f1322,f638]) ).
fof(f638,plain,
p103(sK46(sK44(sK42(sK62)))),
inference(resolution,[],[f605,f274]) ).
fof(f274,plain,
! [X0] :
( ~ sP15(X0)
| p103(sK46(X0)) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0] :
( ( p103(sK46(X0))
& ~ p104(sK46(X0))
& p4(sK46(X0))
& r1(X0,sK46(X0)) )
| ~ sP15(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK46])],[f116,f117]) ).
fof(f117,plain,
! [X0] :
( ? [X1] :
( p103(X1)
& ~ p104(X1)
& p4(X1)
& r1(X0,X1) )
=> ( p103(sK46(X0))
& ~ p104(sK46(X0))
& p4(sK46(X0))
& r1(X0,sK46(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f116,plain,
! [X0] :
( ? [X1] :
( p103(X1)
& ~ p104(X1)
& p4(X1)
& r1(X0,X1) )
| ~ sP15(X0) ),
inference(rectify,[],[f115]) ).
fof(f115,plain,
! [X1] :
( ? [X28] :
( p103(X28)
& ~ p104(X28)
& p4(X28)
& r1(X1,X28) )
| ~ sP15(X1) ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X1] :
( ? [X28] :
( p103(X28)
& ~ p104(X28)
& p4(X28)
& r1(X1,X28) )
| ~ sP15(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f605,plain,
sP15(sK44(sK42(sK62))),
inference(subsumption_resolution,[],[f604,f487]) ).
fof(f487,plain,
p102(sK44(sK42(sK62))),
inference(resolution,[],[f474,f266]) ).
fof(f266,plain,
! [X0] :
( ~ sP17(X0)
| p102(sK44(X0)) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0] :
( ( p102(sK44(X0))
& ~ p103(sK44(X0))
& p3(sK44(X0))
& r1(X0,sK44(X0)) )
| ~ sP17(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK44])],[f108,f109]) ).
fof(f109,plain,
! [X0] :
( ? [X1] :
( p102(X1)
& ~ p103(X1)
& p3(X1)
& r1(X0,X1) )
=> ( p102(sK44(X0))
& ~ p103(sK44(X0))
& p3(sK44(X0))
& r1(X0,sK44(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f108,plain,
! [X0] :
( ? [X1] :
( p102(X1)
& ~ p103(X1)
& p3(X1)
& r1(X0,X1) )
| ~ sP17(X0) ),
inference(rectify,[],[f107]) ).
fof(f107,plain,
! [X1] :
( ? [X26] :
( p102(X26)
& ~ p103(X26)
& p3(X26)
& r1(X1,X26) )
| ~ sP17(X1) ),
inference(nnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X1] :
( ? [X26] :
( p102(X26)
& ~ p103(X26)
& p3(X26)
& r1(X1,X26) )
| ~ sP17(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f474,plain,
sP17(sK42(sK62)),
inference(subsumption_resolution,[],[f473,f384]) ).
fof(f384,plain,
p101(sK42(sK62)),
inference(resolution,[],[f382,f258]) ).
fof(f258,plain,
! [X0] :
( ~ sP19(X0)
| p101(sK42(X0)) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0] :
( ( p101(sK42(X0))
& ~ p102(sK42(X0))
& p2(sK42(X0))
& r1(X0,sK42(X0)) )
| ~ sP19(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK42])],[f100,f101]) ).
fof(f101,plain,
! [X0] :
( ? [X1] :
( p101(X1)
& ~ p102(X1)
& p2(X1)
& r1(X0,X1) )
=> ( p101(sK42(X0))
& ~ p102(sK42(X0))
& p2(sK42(X0))
& r1(X0,sK42(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f100,plain,
! [X0] :
( ? [X1] :
( p101(X1)
& ~ p102(X1)
& p2(X1)
& r1(X0,X1) )
| ~ sP19(X0) ),
inference(rectify,[],[f99]) ).
fof(f99,plain,
! [X1] :
( ? [X24] :
( p101(X24)
& ~ p102(X24)
& p2(X24)
& r1(X1,X24) )
| ~ sP19(X1) ),
inference(nnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X1] :
( ? [X24] :
( p101(X24)
& ~ p102(X24)
& p2(X24)
& r1(X1,X24) )
| ~ sP19(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f382,plain,
sP19(sK62),
inference(subsumption_resolution,[],[f381,f336]) ).
fof(f336,plain,
p100(sK62),
inference(cnf_transformation,[],[f181]) ).
fof(f181,plain,
( p100(sK62)
& ~ p101(sK62)
& ! [X1] :
( sP41(X1)
| ~ r1(sK62,X1) )
& ! [X2] :
( p5(X2)
| ~ r1(sK62,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK62])],[f179,f180]) ).
fof(f180,plain,
( ? [X0] :
( p100(X0)
& ~ p101(X0)
& ! [X1] :
( sP41(X1)
| ~ r1(X0,X1) )
& ! [X2] :
( p5(X2)
| ~ r1(X0,X2) ) )
=> ( p100(sK62)
& ~ p101(sK62)
& ! [X1] :
( sP41(X1)
| ~ r1(sK62,X1) )
& ! [X2] :
( p5(X2)
| ~ r1(sK62,X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f179,plain,
? [X0] :
( p100(X0)
& ~ p101(X0)
& ! [X1] :
( sP41(X1)
| ~ r1(X0,X1) )
& ! [X2] :
( p5(X2)
| ~ r1(X0,X2) ) ),
inference(rectify,[],[f54]) ).
fof(f54,plain,
? [X0] :
( p100(X0)
& ~ p101(X0)
& ! [X1] :
( sP41(X1)
| ~ r1(X0,X1) )
& ! [X44] :
( p5(X44)
| ~ r1(X0,X44) ) ),
inference(definition_folding,[],[f9,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12]) ).
fof(f12,plain,
! [X1] :
( ? [X43] :
( p110(X43)
& ~ p11(X43)
& r1(X1,X43) )
| ~ sP0(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f13,plain,
! [X1] :
( ? [X42] :
( p110(X42)
& p11(X42)
& r1(X1,X42) )
| ~ sP1(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f14,plain,
! [X1] :
( ? [X41] :
( p109(X41)
& ~ p110(X41)
& ~ p10(X41)
& r1(X1,X41) )
| ~ sP2(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f15,plain,
! [X1] :
( ? [X40] :
( p109(X40)
& ~ p110(X40)
& p10(X40)
& r1(X1,X40) )
| ~ sP3(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f16,plain,
! [X1] :
( ? [X39] :
( p108(X39)
& ~ p109(X39)
& ~ p9(X39)
& r1(X1,X39) )
| ~ sP4(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f17,plain,
! [X1] :
( ? [X38] :
( p108(X38)
& ~ p109(X38)
& p9(X38)
& r1(X1,X38) )
| ~ sP5(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f18,plain,
! [X1] :
( ? [X37] :
( p107(X37)
& ~ p108(X37)
& ~ p8(X37)
& r1(X1,X37) )
| ~ sP6(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f19,plain,
! [X1] :
( ? [X36] :
( p107(X36)
& ~ p108(X36)
& p8(X36)
& r1(X1,X36) )
| ~ sP7(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f20,plain,
! [X1] :
( ? [X35] :
( p106(X35)
& ~ p107(X35)
& ~ p7(X35)
& r1(X1,X35) )
| ~ sP8(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f21,plain,
! [X1] :
( ? [X34] :
( p106(X34)
& ~ p107(X34)
& p7(X34)
& r1(X1,X34) )
| ~ sP9(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f22,plain,
! [X1] :
( ? [X33] :
( p105(X33)
& ~ p106(X33)
& ~ p6(X33)
& r1(X1,X33) )
| ~ sP10(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f23,plain,
! [X1] :
( ? [X32] :
( p105(X32)
& ~ p106(X32)
& p6(X32)
& r1(X1,X32) )
| ~ sP11(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f25,plain,
! [X1] :
( ? [X30] :
( p104(X30)
& ~ p105(X30)
& p5(X30)
& r1(X1,X30) )
| ~ sP13(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f26,plain,
! [X1] :
( ? [X29] :
( p103(X29)
& ~ p104(X29)
& ~ p4(X29)
& r1(X1,X29) )
| ~ sP14(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f28,plain,
! [X1] :
( ? [X27] :
( p102(X27)
& ~ p103(X27)
& ~ p3(X27)
& r1(X1,X27) )
| ~ sP16(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f30,plain,
! [X1] :
( ? [X25] :
( p101(X25)
& ~ p102(X25)
& ~ p2(X25)
& r1(X1,X25) )
| ~ sP18(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f32,plain,
! [X1] :
( ~ p109(X1)
| p110(X1)
| ( sP1(X1)
& sP0(X1) )
| ~ sP20(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f33,plain,
! [X1] :
( ~ p108(X1)
| p109(X1)
| ( sP3(X1)
& sP2(X1) )
| ~ sP21(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f34,plain,
! [X1] :
( ~ p107(X1)
| p108(X1)
| ( sP5(X1)
& sP4(X1) )
| ~ sP22(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f35,plain,
! [X1] :
( ~ p106(X1)
| p107(X1)
| ( sP7(X1)
& sP6(X1) )
| ~ sP23(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f36,plain,
! [X1] :
( ~ p105(X1)
| p106(X1)
| ( sP9(X1)
& sP8(X1) )
| ~ sP24(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f37,plain,
! [X1] :
( ~ p104(X1)
| p105(X1)
| ( sP11(X1)
& sP10(X1) )
| ~ sP25(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f38,plain,
! [X1] :
( ~ p103(X1)
| p104(X1)
| ( sP13(X1)
& sP12(X1) )
| ~ sP26(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f39,plain,
! [X1] :
( ~ p102(X1)
| p103(X1)
| ( sP15(X1)
& sP14(X1) )
| ~ sP27(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f40,plain,
! [X1] :
( ~ p101(X1)
| p102(X1)
| ( sP17(X1)
& sP16(X1) )
| ~ sP28(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f41,plain,
! [X1] :
( ~ p100(X1)
| p101(X1)
| ( sP19(X1)
& sP18(X1) )
| ~ sP29(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f42,plain,
! [X1] :
( ~ p110(X1)
| ( ( ~ p11(X1)
| ! [X22] :
( ~ p110(X22)
| p11(X22)
| ~ r1(X1,X22) ) )
& ( p11(X1)
| ! [X23] :
( ~ p110(X23)
| ~ p11(X23)
| ~ r1(X1,X23) ) ) )
| ~ sP30(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f43,plain,
! [X1] :
( ~ p109(X1)
| ( ( ~ p10(X1)
| ! [X20] :
( ~ p109(X20)
| p10(X20)
| ~ r1(X1,X20) ) )
& ( p10(X1)
| ! [X21] :
( ~ p109(X21)
| ~ p10(X21)
| ~ r1(X1,X21) ) ) )
| ~ sP31(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f44,plain,
! [X1] :
( ~ p108(X1)
| ( ( ~ p9(X1)
| ! [X18] :
( ~ p108(X18)
| p9(X18)
| ~ r1(X1,X18) ) )
& ( p9(X1)
| ! [X19] :
( ~ p108(X19)
| ~ p9(X19)
| ~ r1(X1,X19) ) ) )
| ~ sP32(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f45,plain,
! [X1] :
( ~ p107(X1)
| ( ( ~ p8(X1)
| ! [X16] :
( ~ p107(X16)
| p8(X16)
| ~ r1(X1,X16) ) )
& ( p8(X1)
| ! [X17] :
( ~ p107(X17)
| ~ p8(X17)
| ~ r1(X1,X17) ) ) )
| ~ sP33(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f46,plain,
! [X1] :
( ~ p106(X1)
| ( ( ~ p7(X1)
| ! [X14] :
( ~ p106(X14)
| p7(X14)
| ~ r1(X1,X14) ) )
& ( p7(X1)
| ! [X15] :
( ~ p106(X15)
| ~ p7(X15)
| ~ r1(X1,X15) ) ) )
| ~ sP34(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f47,plain,
! [X1] :
( ~ p105(X1)
| ( ( ~ p6(X1)
| ! [X12] :
( ~ p105(X12)
| p6(X12)
| ~ r1(X1,X12) ) )
& ( p6(X1)
| ! [X13] :
( ~ p105(X13)
| ~ p6(X13)
| ~ r1(X1,X13) ) ) )
| ~ sP35(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f48,plain,
! [X1] :
( ~ p104(X1)
| ( ( ~ p5(X1)
| ! [X10] :
( ~ p104(X10)
| p5(X10)
| ~ r1(X1,X10) ) )
& ( p5(X1)
| ! [X11] :
( ~ p104(X11)
| ~ p5(X11)
| ~ r1(X1,X11) ) ) )
| ~ sP36(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f49,plain,
! [X1] :
( ~ p103(X1)
| ( ( ~ p4(X1)
| ! [X8] :
( ~ p103(X8)
| p4(X8)
| ~ r1(X1,X8) ) )
& ( p4(X1)
| ! [X9] :
( ~ p103(X9)
| ~ p4(X9)
| ~ r1(X1,X9) ) ) )
| ~ sP37(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f50,plain,
! [X1] :
( ~ p102(X1)
| ( ( ~ p3(X1)
| ! [X6] :
( ~ p102(X6)
| p3(X6)
| ~ r1(X1,X6) ) )
& ( p3(X1)
| ! [X7] :
( ~ p102(X7)
| ~ p3(X7)
| ~ r1(X1,X7) ) ) )
| ~ sP38(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f51,plain,
! [X1] :
( ~ p101(X1)
| ( ( ~ p2(X1)
| ! [X4] :
( ~ p101(X4)
| p2(X4)
| ~ r1(X1,X4) ) )
& ( p2(X1)
| ! [X5] :
( ~ p101(X5)
| ~ p2(X5)
| ~ r1(X1,X5) ) ) )
| ~ sP39(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f52,plain,
! [X1] :
( ~ p100(X1)
| ( ( ~ p1(X1)
| ! [X2] :
( ~ p100(X2)
| p1(X2)
| ~ r1(X1,X2) ) )
& ( p1(X1)
| ! [X3] :
( ~ p100(X3)
| ~ p1(X3)
| ~ r1(X1,X3) ) ) )
| ~ sP40(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f53,plain,
! [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) )
& ( ~ p107(X1)
| p106(X1) )
& ( ~ p108(X1)
| p107(X1) )
& ( ~ p109(X1)
| p108(X1) )
& ( ~ p110(X1)
| p109(X1) )
& sP40(X1)
& sP39(X1)
& sP38(X1)
& sP37(X1)
& sP36(X1)
& sP35(X1)
& sP34(X1)
& sP33(X1)
& sP32(X1)
& sP31(X1)
& sP30(X1)
& sP29(X1)
& sP28(X1)
& sP27(X1)
& sP26(X1)
& sP25(X1)
& sP24(X1)
& sP23(X1)
& sP22(X1)
& sP21(X1)
& sP20(X1) )
| ~ sP41(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f9,plain,
? [X0] :
( p100(X0)
& ~ p101(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) )
& ( ~ p107(X1)
| p106(X1) )
& ( ~ p108(X1)
| p107(X1) )
& ( ~ p109(X1)
| p108(X1) )
& ( ~ p110(X1)
| p109(X1) )
& ( ~ p100(X1)
| ( ( ~ p1(X1)
| ! [X2] :
( ~ p100(X2)
| p1(X2)
| ~ r1(X1,X2) ) )
& ( p1(X1)
| ! [X3] :
( ~ p100(X3)
| ~ p1(X3)
| ~ r1(X1,X3) ) ) ) )
& ( ~ p101(X1)
| ( ( ~ p2(X1)
| ! [X4] :
( ~ p101(X4)
| p2(X4)
| ~ r1(X1,X4) ) )
& ( p2(X1)
| ! [X5] :
( ~ p101(X5)
| ~ p2(X5)
| ~ r1(X1,X5) ) ) ) )
& ( ~ p102(X1)
| ( ( ~ p3(X1)
| ! [X6] :
( ~ p102(X6)
| p3(X6)
| ~ r1(X1,X6) ) )
& ( p3(X1)
| ! [X7] :
( ~ p102(X7)
| ~ p3(X7)
| ~ r1(X1,X7) ) ) ) )
& ( ~ p103(X1)
| ( ( ~ p4(X1)
| ! [X8] :
( ~ p103(X8)
| p4(X8)
| ~ r1(X1,X8) ) )
& ( p4(X1)
| ! [X9] :
( ~ p103(X9)
| ~ p4(X9)
| ~ r1(X1,X9) ) ) ) )
& ( ~ p104(X1)
| ( ( ~ p5(X1)
| ! [X10] :
( ~ p104(X10)
| p5(X10)
| ~ r1(X1,X10) ) )
& ( p5(X1)
| ! [X11] :
( ~ p104(X11)
| ~ p5(X11)
| ~ r1(X1,X11) ) ) ) )
& ( ~ p105(X1)
| ( ( ~ p6(X1)
| ! [X12] :
( ~ p105(X12)
| p6(X12)
| ~ r1(X1,X12) ) )
& ( p6(X1)
| ! [X13] :
( ~ p105(X13)
| ~ p6(X13)
| ~ r1(X1,X13) ) ) ) )
& ( ~ p106(X1)
| ( ( ~ p7(X1)
| ! [X14] :
( ~ p106(X14)
| p7(X14)
| ~ r1(X1,X14) ) )
& ( p7(X1)
| ! [X15] :
( ~ p106(X15)
| ~ p7(X15)
| ~ r1(X1,X15) ) ) ) )
& ( ~ p107(X1)
| ( ( ~ p8(X1)
| ! [X16] :
( ~ p107(X16)
| p8(X16)
| ~ r1(X1,X16) ) )
& ( p8(X1)
| ! [X17] :
( ~ p107(X17)
| ~ p8(X17)
| ~ r1(X1,X17) ) ) ) )
& ( ~ p108(X1)
| ( ( ~ p9(X1)
| ! [X18] :
( ~ p108(X18)
| p9(X18)
| ~ r1(X1,X18) ) )
& ( p9(X1)
| ! [X19] :
( ~ p108(X19)
| ~ p9(X19)
| ~ r1(X1,X19) ) ) ) )
& ( ~ p109(X1)
| ( ( ~ p10(X1)
| ! [X20] :
( ~ p109(X20)
| p10(X20)
| ~ r1(X1,X20) ) )
& ( p10(X1)
| ! [X21] :
( ~ p109(X21)
| ~ p10(X21)
| ~ r1(X1,X21) ) ) ) )
& ( ~ p110(X1)
| ( ( ~ p11(X1)
| ! [X22] :
( ~ p110(X22)
| p11(X22)
| ~ r1(X1,X22) ) )
& ( p11(X1)
| ! [X23] :
( ~ p110(X23)
| ~ p11(X23)
| ~ r1(X1,X23) ) ) ) )
& ( ~ p100(X1)
| p101(X1)
| ( ? [X24] :
( p101(X24)
& ~ p102(X24)
& p2(X24)
& r1(X1,X24) )
& ? [X25] :
( p101(X25)
& ~ p102(X25)
& ~ p2(X25)
& r1(X1,X25) ) ) )
& ( ~ p101(X1)
| p102(X1)
| ( ? [X26] :
( p102(X26)
& ~ p103(X26)
& p3(X26)
& r1(X1,X26) )
& ? [X27] :
( p102(X27)
& ~ p103(X27)
& ~ p3(X27)
& r1(X1,X27) ) ) )
& ( ~ p102(X1)
| p103(X1)
| ( ? [X28] :
( p103(X28)
& ~ p104(X28)
& p4(X28)
& r1(X1,X28) )
& ? [X29] :
( p103(X29)
& ~ p104(X29)
& ~ p4(X29)
& r1(X1,X29) ) ) )
& ( ~ p103(X1)
| p104(X1)
| ( ? [X30] :
( p104(X30)
& ~ p105(X30)
& p5(X30)
& r1(X1,X30) )
& ? [X31] :
( p104(X31)
& ~ p105(X31)
& ~ p5(X31)
& r1(X1,X31) ) ) )
& ( ~ p104(X1)
| p105(X1)
| ( ? [X32] :
( p105(X32)
& ~ p106(X32)
& p6(X32)
& r1(X1,X32) )
& ? [X33] :
( p105(X33)
& ~ p106(X33)
& ~ p6(X33)
& r1(X1,X33) ) ) )
& ( ~ p105(X1)
| p106(X1)
| ( ? [X34] :
( p106(X34)
& ~ p107(X34)
& p7(X34)
& r1(X1,X34) )
& ? [X35] :
( p106(X35)
& ~ p107(X35)
& ~ p7(X35)
& r1(X1,X35) ) ) )
& ( ~ p106(X1)
| p107(X1)
| ( ? [X36] :
( p107(X36)
& ~ p108(X36)
& p8(X36)
& r1(X1,X36) )
& ? [X37] :
( p107(X37)
& ~ p108(X37)
& ~ p8(X37)
& r1(X1,X37) ) ) )
& ( ~ p107(X1)
| p108(X1)
| ( ? [X38] :
( p108(X38)
& ~ p109(X38)
& p9(X38)
& r1(X1,X38) )
& ? [X39] :
( p108(X39)
& ~ p109(X39)
& ~ p9(X39)
& r1(X1,X39) ) ) )
& ( ~ p108(X1)
| p109(X1)
| ( ? [X40] :
( p109(X40)
& ~ p110(X40)
& p10(X40)
& r1(X1,X40) )
& ? [X41] :
( p109(X41)
& ~ p110(X41)
& ~ p10(X41)
& r1(X1,X41) ) ) )
& ( ~ p109(X1)
| p110(X1)
| ( ? [X42] :
( p110(X42)
& p11(X42)
& r1(X1,X42) )
& ? [X43] :
( p110(X43)
& ~ p11(X43)
& r1(X1,X43) ) ) ) )
| ~ r1(X0,X1) )
& ! [X44] :
( p5(X44)
| ~ r1(X0,X44) ) ),
inference(flattening,[],[f8]) ).
fof(f8,plain,
? [X0] :
( p100(X0)
& ~ p101(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) )
& ( ~ p107(X1)
| p106(X1) )
& ( ~ p108(X1)
| p107(X1) )
& ( ~ p109(X1)
| p108(X1) )
& ( ~ p110(X1)
| p109(X1) )
& ( ~ p100(X1)
| ( ( ~ p1(X1)
| ! [X2] :
( ~ p100(X2)
| p1(X2)
| ~ r1(X1,X2) ) )
& ( p1(X1)
| ! [X3] :
( ~ p100(X3)
| ~ p1(X3)
| ~ r1(X1,X3) ) ) ) )
& ( ~ p101(X1)
| ( ( ~ p2(X1)
| ! [X4] :
( ~ p101(X4)
| p2(X4)
| ~ r1(X1,X4) ) )
& ( p2(X1)
| ! [X5] :
( ~ p101(X5)
| ~ p2(X5)
| ~ r1(X1,X5) ) ) ) )
& ( ~ p102(X1)
| ( ( ~ p3(X1)
| ! [X6] :
( ~ p102(X6)
| p3(X6)
| ~ r1(X1,X6) ) )
& ( p3(X1)
| ! [X7] :
( ~ p102(X7)
| ~ p3(X7)
| ~ r1(X1,X7) ) ) ) )
& ( ~ p103(X1)
| ( ( ~ p4(X1)
| ! [X8] :
( ~ p103(X8)
| p4(X8)
| ~ r1(X1,X8) ) )
& ( p4(X1)
| ! [X9] :
( ~ p103(X9)
| ~ p4(X9)
| ~ r1(X1,X9) ) ) ) )
& ( ~ p104(X1)
| ( ( ~ p5(X1)
| ! [X10] :
( ~ p104(X10)
| p5(X10)
| ~ r1(X1,X10) ) )
& ( p5(X1)
| ! [X11] :
( ~ p104(X11)
| ~ p5(X11)
| ~ r1(X1,X11) ) ) ) )
& ( ~ p105(X1)
| ( ( ~ p6(X1)
| ! [X12] :
( ~ p105(X12)
| p6(X12)
| ~ r1(X1,X12) ) )
& ( p6(X1)
| ! [X13] :
( ~ p105(X13)
| ~ p6(X13)
| ~ r1(X1,X13) ) ) ) )
& ( ~ p106(X1)
| ( ( ~ p7(X1)
| ! [X14] :
( ~ p106(X14)
| p7(X14)
| ~ r1(X1,X14) ) )
& ( p7(X1)
| ! [X15] :
( ~ p106(X15)
| ~ p7(X15)
| ~ r1(X1,X15) ) ) ) )
& ( ~ p107(X1)
| ( ( ~ p8(X1)
| ! [X16] :
( ~ p107(X16)
| p8(X16)
| ~ r1(X1,X16) ) )
& ( p8(X1)
| ! [X17] :
( ~ p107(X17)
| ~ p8(X17)
| ~ r1(X1,X17) ) ) ) )
& ( ~ p108(X1)
| ( ( ~ p9(X1)
| ! [X18] :
( ~ p108(X18)
| p9(X18)
| ~ r1(X1,X18) ) )
& ( p9(X1)
| ! [X19] :
( ~ p108(X19)
| ~ p9(X19)
| ~ r1(X1,X19) ) ) ) )
& ( ~ p109(X1)
| ( ( ~ p10(X1)
| ! [X20] :
( ~ p109(X20)
| p10(X20)
| ~ r1(X1,X20) ) )
& ( p10(X1)
| ! [X21] :
( ~ p109(X21)
| ~ p10(X21)
| ~ r1(X1,X21) ) ) ) )
& ( ~ p110(X1)
| ( ( ~ p11(X1)
| ! [X22] :
( ~ p110(X22)
| p11(X22)
| ~ r1(X1,X22) ) )
& ( p11(X1)
| ! [X23] :
( ~ p110(X23)
| ~ p11(X23)
| ~ r1(X1,X23) ) ) ) )
& ( ~ p100(X1)
| p101(X1)
| ( ? [X24] :
( p101(X24)
& ~ p102(X24)
& p2(X24)
& r1(X1,X24) )
& ? [X25] :
( p101(X25)
& ~ p102(X25)
& ~ p2(X25)
& r1(X1,X25) ) ) )
& ( ~ p101(X1)
| p102(X1)
| ( ? [X26] :
( p102(X26)
& ~ p103(X26)
& p3(X26)
& r1(X1,X26) )
& ? [X27] :
( p102(X27)
& ~ p103(X27)
& ~ p3(X27)
& r1(X1,X27) ) ) )
& ( ~ p102(X1)
| p103(X1)
| ( ? [X28] :
( p103(X28)
& ~ p104(X28)
& p4(X28)
& r1(X1,X28) )
& ? [X29] :
( p103(X29)
& ~ p104(X29)
& ~ p4(X29)
& r1(X1,X29) ) ) )
& ( ~ p103(X1)
| p104(X1)
| ( ? [X30] :
( p104(X30)
& ~ p105(X30)
& p5(X30)
& r1(X1,X30) )
& ? [X31] :
( p104(X31)
& ~ p105(X31)
& ~ p5(X31)
& r1(X1,X31) ) ) )
& ( ~ p104(X1)
| p105(X1)
| ( ? [X32] :
( p105(X32)
& ~ p106(X32)
& p6(X32)
& r1(X1,X32) )
& ? [X33] :
( p105(X33)
& ~ p106(X33)
& ~ p6(X33)
& r1(X1,X33) ) ) )
& ( ~ p105(X1)
| p106(X1)
| ( ? [X34] :
( p106(X34)
& ~ p107(X34)
& p7(X34)
& r1(X1,X34) )
& ? [X35] :
( p106(X35)
& ~ p107(X35)
& ~ p7(X35)
& r1(X1,X35) ) ) )
& ( ~ p106(X1)
| p107(X1)
| ( ? [X36] :
( p107(X36)
& ~ p108(X36)
& p8(X36)
& r1(X1,X36) )
& ? [X37] :
( p107(X37)
& ~ p108(X37)
& ~ p8(X37)
& r1(X1,X37) ) ) )
& ( ~ p107(X1)
| p108(X1)
| ( ? [X38] :
( p108(X38)
& ~ p109(X38)
& p9(X38)
& r1(X1,X38) )
& ? [X39] :
( p108(X39)
& ~ p109(X39)
& ~ p9(X39)
& r1(X1,X39) ) ) )
& ( ~ p108(X1)
| p109(X1)
| ( ? [X40] :
( p109(X40)
& ~ p110(X40)
& p10(X40)
& r1(X1,X40) )
& ? [X41] :
( p109(X41)
& ~ p110(X41)
& ~ p10(X41)
& r1(X1,X41) ) ) )
& ( ~ p109(X1)
| p110(X1)
| ( ? [X42] :
( p110(X42)
& p11(X42)
& r1(X1,X42) )
& ? [X43] :
( p110(X43)
& ~ p11(X43)
& r1(X1,X43) ) ) ) )
| ~ r1(X0,X1) )
& ! [X44] :
( p5(X44)
| ~ r1(X0,X44) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,plain,
? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(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) )
& ( ~ p107(X1)
| p106(X1) )
& ( ~ p108(X1)
| p107(X1) )
& ( ~ p109(X1)
| p108(X1) )
& ( ~ p110(X1)
| p109(X1) )
& ( ~ p100(X1)
| ( ( ~ p1(X1)
| ! [X2] :
( ~ p100(X2)
| p1(X2)
| ~ r1(X1,X2) ) )
& ( p1(X1)
| ! [X3] :
( ~ p100(X3)
| ~ p1(X3)
| ~ r1(X1,X3) ) ) ) )
& ( ~ p101(X1)
| ( ( ~ p2(X1)
| ! [X4] :
( ~ p101(X4)
| p2(X4)
| ~ r1(X1,X4) ) )
& ( p2(X1)
| ! [X5] :
( ~ p101(X5)
| ~ p2(X5)
| ~ r1(X1,X5) ) ) ) )
& ( ~ p102(X1)
| ( ( ~ p3(X1)
| ! [X6] :
( ~ p102(X6)
| p3(X6)
| ~ r1(X1,X6) ) )
& ( p3(X1)
| ! [X7] :
( ~ p102(X7)
| ~ p3(X7)
| ~ r1(X1,X7) ) ) ) )
& ( ~ p103(X1)
| ( ( ~ p4(X1)
| ! [X8] :
( ~ p103(X8)
| p4(X8)
| ~ r1(X1,X8) ) )
& ( p4(X1)
| ! [X9] :
( ~ p103(X9)
| ~ p4(X9)
| ~ r1(X1,X9) ) ) ) )
& ( ~ p104(X1)
| ( ( ~ p5(X1)
| ! [X10] :
( ~ p104(X10)
| p5(X10)
| ~ r1(X1,X10) ) )
& ( p5(X1)
| ! [X11] :
( ~ p104(X11)
| ~ p5(X11)
| ~ r1(X1,X11) ) ) ) )
& ( ~ p105(X1)
| ( ( ~ p6(X1)
| ! [X12] :
( ~ p105(X12)
| p6(X12)
| ~ r1(X1,X12) ) )
& ( p6(X1)
| ! [X13] :
( ~ p105(X13)
| ~ p6(X13)
| ~ r1(X1,X13) ) ) ) )
& ( ~ p106(X1)
| ( ( ~ p7(X1)
| ! [X14] :
( ~ p106(X14)
| p7(X14)
| ~ r1(X1,X14) ) )
& ( p7(X1)
| ! [X15] :
( ~ p106(X15)
| ~ p7(X15)
| ~ r1(X1,X15) ) ) ) )
& ( ~ p107(X1)
| ( ( ~ p8(X1)
| ! [X16] :
( ~ p107(X16)
| p8(X16)
| ~ r1(X1,X16) ) )
& ( p8(X1)
| ! [X17] :
( ~ p107(X17)
| ~ p8(X17)
| ~ r1(X1,X17) ) ) ) )
& ( ~ p108(X1)
| ( ( ~ p9(X1)
| ! [X18] :
( ~ p108(X18)
| p9(X18)
| ~ r1(X1,X18) ) )
& ( p9(X1)
| ! [X19] :
( ~ p108(X19)
| ~ p9(X19)
| ~ r1(X1,X19) ) ) ) )
& ( ~ p109(X1)
| ( ( ~ p10(X1)
| ! [X20] :
( ~ p109(X20)
| p10(X20)
| ~ r1(X1,X20) ) )
& ( p10(X1)
| ! [X21] :
( ~ p109(X21)
| ~ p10(X21)
| ~ r1(X1,X21) ) ) ) )
& ( ~ p110(X1)
| ( ( ~ p11(X1)
| ! [X22] :
( ~ p110(X22)
| p11(X22)
| ~ r1(X1,X22) ) )
& ( p11(X1)
| ! [X23] :
( ~ p110(X23)
| ~ p11(X23)
| ~ r1(X1,X23) ) ) ) )
& ( ~ ( p100(X1)
& ~ p101(X1) )
| ( ~ ! [X24] :
( ~ ( p101(X24)
& ~ p102(X24)
& p2(X24) )
| ~ r1(X1,X24) )
& ~ ! [X25] :
( ~ ( p101(X25)
& ~ p102(X25)
& ~ p2(X25) )
| ~ r1(X1,X25) ) ) )
& ( ~ ( p101(X1)
& ~ p102(X1) )
| ( ~ ! [X26] :
( ~ ( p102(X26)
& ~ p103(X26)
& p3(X26) )
| ~ r1(X1,X26) )
& ~ ! [X27] :
( ~ ( p102(X27)
& ~ p103(X27)
& ~ p3(X27) )
| ~ r1(X1,X27) ) ) )
& ( ~ ( p102(X1)
& ~ p103(X1) )
| ( ~ ! [X28] :
( ~ ( p103(X28)
& ~ p104(X28)
& p4(X28) )
| ~ r1(X1,X28) )
& ~ ! [X29] :
( ~ ( p103(X29)
& ~ p104(X29)
& ~ p4(X29) )
| ~ r1(X1,X29) ) ) )
& ( ~ ( p103(X1)
& ~ p104(X1) )
| ( ~ ! [X30] :
( ~ ( p104(X30)
& ~ p105(X30)
& p5(X30) )
| ~ r1(X1,X30) )
& ~ ! [X31] :
( ~ ( p104(X31)
& ~ p105(X31)
& ~ p5(X31) )
| ~ r1(X1,X31) ) ) )
& ( ~ ( p104(X1)
& ~ p105(X1) )
| ( ~ ! [X32] :
( ~ ( p105(X32)
& ~ p106(X32)
& p6(X32) )
| ~ r1(X1,X32) )
& ~ ! [X33] :
( ~ ( p105(X33)
& ~ p106(X33)
& ~ p6(X33) )
| ~ r1(X1,X33) ) ) )
& ( ~ ( p105(X1)
& ~ p106(X1) )
| ( ~ ! [X34] :
( ~ ( p106(X34)
& ~ p107(X34)
& p7(X34) )
| ~ r1(X1,X34) )
& ~ ! [X35] :
( ~ ( p106(X35)
& ~ p107(X35)
& ~ p7(X35) )
| ~ r1(X1,X35) ) ) )
& ( ~ ( p106(X1)
& ~ p107(X1) )
| ( ~ ! [X36] :
( ~ ( p107(X36)
& ~ p108(X36)
& p8(X36) )
| ~ r1(X1,X36) )
& ~ ! [X37] :
( ~ ( p107(X37)
& ~ p108(X37)
& ~ p8(X37) )
| ~ r1(X1,X37) ) ) )
& ( ~ ( p107(X1)
& ~ p108(X1) )
| ( ~ ! [X38] :
( ~ ( p108(X38)
& ~ p109(X38)
& p9(X38) )
| ~ r1(X1,X38) )
& ~ ! [X39] :
( ~ ( p108(X39)
& ~ p109(X39)
& ~ p9(X39) )
| ~ r1(X1,X39) ) ) )
& ( ~ ( p108(X1)
& ~ p109(X1) )
| ( ~ ! [X40] :
( ~ ( p109(X40)
& ~ p110(X40)
& p10(X40) )
| ~ r1(X1,X40) )
& ~ ! [X41] :
( ~ ( p109(X41)
& ~ p110(X41)
& ~ p10(X41) )
| ~ r1(X1,X41) ) ) )
& ( ~ ( p109(X1)
& ~ p110(X1) )
| ( ~ ! [X42] :
( ~ ( p110(X42)
& p11(X42) )
| ~ r1(X1,X42) )
& ~ ! [X43] :
( ~ ( p110(X43)
& ~ p11(X43) )
| ~ r1(X1,X43) ) ) ) )
| ~ r1(X0,X1) ) )
| ~ ! [X44] :
( p5(X44)
| ~ r1(X0,X44) ) ),
inference(pure_predicate_removal,[],[f6]) ).
fof(f6,plain,
? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(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) )
& ( ~ p107(X1)
| p106(X1) )
& ( ~ p108(X1)
| p107(X1) )
& ( ~ p109(X1)
| p108(X1) )
& ( ~ p110(X1)
| p109(X1) )
& ( ~ p111(X1)
| p110(X1) )
& ( ~ p100(X1)
| ( ( ~ p1(X1)
| ! [X2] :
( ~ p100(X2)
| p1(X2)
| ~ r1(X1,X2) ) )
& ( p1(X1)
| ! [X3] :
( ~ p100(X3)
| ~ p1(X3)
| ~ r1(X1,X3) ) ) ) )
& ( ~ p101(X1)
| ( ( ~ p2(X1)
| ! [X4] :
( ~ p101(X4)
| p2(X4)
| ~ r1(X1,X4) ) )
& ( p2(X1)
| ! [X5] :
( ~ p101(X5)
| ~ p2(X5)
| ~ r1(X1,X5) ) ) ) )
& ( ~ p102(X1)
| ( ( ~ p3(X1)
| ! [X6] :
( ~ p102(X6)
| p3(X6)
| ~ r1(X1,X6) ) )
& ( p3(X1)
| ! [X7] :
( ~ p102(X7)
| ~ p3(X7)
| ~ r1(X1,X7) ) ) ) )
& ( ~ p103(X1)
| ( ( ~ p4(X1)
| ! [X8] :
( ~ p103(X8)
| p4(X8)
| ~ r1(X1,X8) ) )
& ( p4(X1)
| ! [X9] :
( ~ p103(X9)
| ~ p4(X9)
| ~ r1(X1,X9) ) ) ) )
& ( ~ p104(X1)
| ( ( ~ p5(X1)
| ! [X10] :
( ~ p104(X10)
| p5(X10)
| ~ r1(X1,X10) ) )
& ( p5(X1)
| ! [X11] :
( ~ p104(X11)
| ~ p5(X11)
| ~ r1(X1,X11) ) ) ) )
& ( ~ p105(X1)
| ( ( ~ p6(X1)
| ! [X12] :
( ~ p105(X12)
| p6(X12)
| ~ r1(X1,X12) ) )
& ( p6(X1)
| ! [X13] :
( ~ p105(X13)
| ~ p6(X13)
| ~ r1(X1,X13) ) ) ) )
& ( ~ p106(X1)
| ( ( ~ p7(X1)
| ! [X14] :
( ~ p106(X14)
| p7(X14)
| ~ r1(X1,X14) ) )
& ( p7(X1)
| ! [X15] :
( ~ p106(X15)
| ~ p7(X15)
| ~ r1(X1,X15) ) ) ) )
& ( ~ p107(X1)
| ( ( ~ p8(X1)
| ! [X16] :
( ~ p107(X16)
| p8(X16)
| ~ r1(X1,X16) ) )
& ( p8(X1)
| ! [X17] :
( ~ p107(X17)
| ~ p8(X17)
| ~ r1(X1,X17) ) ) ) )
& ( ~ p108(X1)
| ( ( ~ p9(X1)
| ! [X18] :
( ~ p108(X18)
| p9(X18)
| ~ r1(X1,X18) ) )
& ( p9(X1)
| ! [X19] :
( ~ p108(X19)
| ~ p9(X19)
| ~ r1(X1,X19) ) ) ) )
& ( ~ p109(X1)
| ( ( ~ p10(X1)
| ! [X20] :
( ~ p109(X20)
| p10(X20)
| ~ r1(X1,X20) ) )
& ( p10(X1)
| ! [X21] :
( ~ p109(X21)
| ~ p10(X21)
| ~ r1(X1,X21) ) ) ) )
& ( ~ p110(X1)
| ( ( ~ p11(X1)
| ! [X22] :
( ~ p110(X22)
| p11(X22)
| ~ r1(X1,X22) ) )
& ( p11(X1)
| ! [X23] :
( ~ p110(X23)
| ~ p11(X23)
| ~ r1(X1,X23) ) ) ) )
& ( ~ ( p100(X1)
& ~ p101(X1) )
| ( ~ ! [X24] :
( ~ ( p101(X24)
& ~ p102(X24)
& p2(X24) )
| ~ r1(X1,X24) )
& ~ ! [X25] :
( ~ ( p101(X25)
& ~ p102(X25)
& ~ p2(X25) )
| ~ r1(X1,X25) ) ) )
& ( ~ ( p101(X1)
& ~ p102(X1) )
| ( ~ ! [X26] :
( ~ ( p102(X26)
& ~ p103(X26)
& p3(X26) )
| ~ r1(X1,X26) )
& ~ ! [X27] :
( ~ ( p102(X27)
& ~ p103(X27)
& ~ p3(X27) )
| ~ r1(X1,X27) ) ) )
& ( ~ ( p102(X1)
& ~ p103(X1) )
| ( ~ ! [X28] :
( ~ ( p103(X28)
& ~ p104(X28)
& p4(X28) )
| ~ r1(X1,X28) )
& ~ ! [X29] :
( ~ ( p103(X29)
& ~ p104(X29)
& ~ p4(X29) )
| ~ r1(X1,X29) ) ) )
& ( ~ ( p103(X1)
& ~ p104(X1) )
| ( ~ ! [X30] :
( ~ ( p104(X30)
& ~ p105(X30)
& p5(X30) )
| ~ r1(X1,X30) )
& ~ ! [X31] :
( ~ ( p104(X31)
& ~ p105(X31)
& ~ p5(X31) )
| ~ r1(X1,X31) ) ) )
& ( ~ ( p104(X1)
& ~ p105(X1) )
| ( ~ ! [X32] :
( ~ ( p105(X32)
& ~ p106(X32)
& p6(X32) )
| ~ r1(X1,X32) )
& ~ ! [X33] :
( ~ ( p105(X33)
& ~ p106(X33)
& ~ p6(X33) )
| ~ r1(X1,X33) ) ) )
& ( ~ ( p105(X1)
& ~ p106(X1) )
| ( ~ ! [X34] :
( ~ ( p106(X34)
& ~ p107(X34)
& p7(X34) )
| ~ r1(X1,X34) )
& ~ ! [X35] :
( ~ ( p106(X35)
& ~ p107(X35)
& ~ p7(X35) )
| ~ r1(X1,X35) ) ) )
& ( ~ ( p106(X1)
& ~ p107(X1) )
| ( ~ ! [X36] :
( ~ ( p107(X36)
& ~ p108(X36)
& p8(X36) )
| ~ r1(X1,X36) )
& ~ ! [X37] :
( ~ ( p107(X37)
& ~ p108(X37)
& ~ p8(X37) )
| ~ r1(X1,X37) ) ) )
& ( ~ ( p107(X1)
& ~ p108(X1) )
| ( ~ ! [X38] :
( ~ ( p108(X38)
& ~ p109(X38)
& p9(X38) )
| ~ r1(X1,X38) )
& ~ ! [X39] :
( ~ ( p108(X39)
& ~ p109(X39)
& ~ p9(X39) )
| ~ r1(X1,X39) ) ) )
& ( ~ ( p108(X1)
& ~ p109(X1) )
| ( ~ ! [X40] :
( ~ ( p109(X40)
& ~ p110(X40)
& p10(X40) )
| ~ r1(X1,X40) )
& ~ ! [X41] :
( ~ ( p109(X41)
& ~ p110(X41)
& ~ p10(X41) )
| ~ r1(X1,X41) ) ) )
& ( ~ ( p109(X1)
& ~ p110(X1) )
| ( ~ ! [X42] :
( ~ ( p110(X42)
& ~ p111(X42)
& p11(X42) )
| ~ r1(X1,X42) )
& ~ ! [X43] :
( ~ ( p110(X43)
& ~ p111(X43)
& ~ p11(X43) )
| ~ r1(X1,X43) ) ) ) )
| ~ r1(X0,X1) ) )
| ~ ! [X44] :
( p5(X44)
| ~ r1(X0,X44) ) ),
inference(flattening,[],[f5]) ).
fof(f5,plain,
~ ~ ? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(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) )
& ( ~ p107(X1)
| p106(X1) )
& ( ~ p108(X1)
| p107(X1) )
& ( ~ p109(X1)
| p108(X1) )
& ( ~ p110(X1)
| p109(X1) )
& ( ~ p111(X1)
| p110(X1) )
& ( ~ p100(X1)
| ( ( ~ p1(X1)
| ! [X2] :
( ~ p100(X2)
| p1(X2)
| ~ r1(X1,X2) ) )
& ( p1(X1)
| ! [X3] :
( ~ p100(X3)
| ~ p1(X3)
| ~ r1(X1,X3) ) ) ) )
& ( ~ p101(X1)
| ( ( ~ p2(X1)
| ! [X4] :
( ~ p101(X4)
| p2(X4)
| ~ r1(X1,X4) ) )
& ( p2(X1)
| ! [X5] :
( ~ p101(X5)
| ~ p2(X5)
| ~ r1(X1,X5) ) ) ) )
& ( ~ p102(X1)
| ( ( ~ p3(X1)
| ! [X6] :
( ~ p102(X6)
| p3(X6)
| ~ r1(X1,X6) ) )
& ( p3(X1)
| ! [X7] :
( ~ p102(X7)
| ~ p3(X7)
| ~ r1(X1,X7) ) ) ) )
& ( ~ p103(X1)
| ( ( ~ p4(X1)
| ! [X8] :
( ~ p103(X8)
| p4(X8)
| ~ r1(X1,X8) ) )
& ( p4(X1)
| ! [X9] :
( ~ p103(X9)
| ~ p4(X9)
| ~ r1(X1,X9) ) ) ) )
& ( ~ p104(X1)
| ( ( ~ p5(X1)
| ! [X10] :
( ~ p104(X10)
| p5(X10)
| ~ r1(X1,X10) ) )
& ( p5(X1)
| ! [X11] :
( ~ p104(X11)
| ~ p5(X11)
| ~ r1(X1,X11) ) ) ) )
& ( ~ p105(X1)
| ( ( ~ p6(X1)
| ! [X12] :
( ~ p105(X12)
| p6(X12)
| ~ r1(X1,X12) ) )
& ( p6(X1)
| ! [X13] :
( ~ p105(X13)
| ~ p6(X13)
| ~ r1(X1,X13) ) ) ) )
& ( ~ p106(X1)
| ( ( ~ p7(X1)
| ! [X14] :
( ~ p106(X14)
| p7(X14)
| ~ r1(X1,X14) ) )
& ( p7(X1)
| ! [X15] :
( ~ p106(X15)
| ~ p7(X15)
| ~ r1(X1,X15) ) ) ) )
& ( ~ p107(X1)
| ( ( ~ p8(X1)
| ! [X16] :
( ~ p107(X16)
| p8(X16)
| ~ r1(X1,X16) ) )
& ( p8(X1)
| ! [X17] :
( ~ p107(X17)
| ~ p8(X17)
| ~ r1(X1,X17) ) ) ) )
& ( ~ p108(X1)
| ( ( ~ p9(X1)
| ! [X18] :
( ~ p108(X18)
| p9(X18)
| ~ r1(X1,X18) ) )
& ( p9(X1)
| ! [X19] :
( ~ p108(X19)
| ~ p9(X19)
| ~ r1(X1,X19) ) ) ) )
& ( ~ p109(X1)
| ( ( ~ p10(X1)
| ! [X20] :
( ~ p109(X20)
| p10(X20)
| ~ r1(X1,X20) ) )
& ( p10(X1)
| ! [X21] :
( ~ p109(X21)
| ~ p10(X21)
| ~ r1(X1,X21) ) ) ) )
& ( ~ p110(X1)
| ( ( ~ p11(X1)
| ! [X22] :
( ~ p110(X22)
| p11(X22)
| ~ r1(X1,X22) ) )
& ( p11(X1)
| ! [X23] :
( ~ p110(X23)
| ~ p11(X23)
| ~ r1(X1,X23) ) ) ) )
& ( ~ ( p100(X1)
& ~ p101(X1) )
| ( ~ ! [X24] :
( ~ ( p101(X24)
& ~ p102(X24)
& p2(X24) )
| ~ r1(X1,X24) )
& ~ ! [X25] :
( ~ ( p101(X25)
& ~ p102(X25)
& ~ p2(X25) )
| ~ r1(X1,X25) ) ) )
& ( ~ ( p101(X1)
& ~ p102(X1) )
| ( ~ ! [X26] :
( ~ ( p102(X26)
& ~ p103(X26)
& p3(X26) )
| ~ r1(X1,X26) )
& ~ ! [X27] :
( ~ ( p102(X27)
& ~ p103(X27)
& ~ p3(X27) )
| ~ r1(X1,X27) ) ) )
& ( ~ ( p102(X1)
& ~ p103(X1) )
| ( ~ ! [X28] :
( ~ ( p103(X28)
& ~ p104(X28)
& p4(X28) )
| ~ r1(X1,X28) )
& ~ ! [X29] :
( ~ ( p103(X29)
& ~ p104(X29)
& ~ p4(X29) )
| ~ r1(X1,X29) ) ) )
& ( ~ ( p103(X1)
& ~ p104(X1) )
| ( ~ ! [X30] :
( ~ ( p104(X30)
& ~ p105(X30)
& p5(X30) )
| ~ r1(X1,X30) )
& ~ ! [X31] :
( ~ ( p104(X31)
& ~ p105(X31)
& ~ p5(X31) )
| ~ r1(X1,X31) ) ) )
& ( ~ ( p104(X1)
& ~ p105(X1) )
| ( ~ ! [X32] :
( ~ ( p105(X32)
& ~ p106(X32)
& p6(X32) )
| ~ r1(X1,X32) )
& ~ ! [X33] :
( ~ ( p105(X33)
& ~ p106(X33)
& ~ p6(X33) )
| ~ r1(X1,X33) ) ) )
& ( ~ ( p105(X1)
& ~ p106(X1) )
| ( ~ ! [X34] :
( ~ ( p106(X34)
& ~ p107(X34)
& p7(X34) )
| ~ r1(X1,X34) )
& ~ ! [X35] :
( ~ ( p106(X35)
& ~ p107(X35)
& ~ p7(X35) )
| ~ r1(X1,X35) ) ) )
& ( ~ ( p106(X1)
& ~ p107(X1) )
| ( ~ ! [X36] :
( ~ ( p107(X36)
& ~ p108(X36)
& p8(X36) )
| ~ r1(X1,X36) )
& ~ ! [X37] :
( ~ ( p107(X37)
& ~ p108(X37)
& ~ p8(X37) )
| ~ r1(X1,X37) ) ) )
& ( ~ ( p107(X1)
& ~ p108(X1) )
| ( ~ ! [X38] :
( ~ ( p108(X38)
& ~ p109(X38)
& p9(X38) )
| ~ r1(X1,X38) )
& ~ ! [X39] :
( ~ ( p108(X39)
& ~ p109(X39)
& ~ p9(X39) )
| ~ r1(X1,X39) ) ) )
& ( ~ ( p108(X1)
& ~ p109(X1) )
| ( ~ ! [X40] :
( ~ ( p109(X40)
& ~ p110(X40)
& p10(X40) )
| ~ r1(X1,X40) )
& ~ ! [X41] :
( ~ ( p109(X41)
& ~ p110(X41)
& ~ p10(X41) )
| ~ r1(X1,X41) ) ) )
& ( ~ ( p109(X1)
& ~ p110(X1) )
| ( ~ ! [X42] :
( ~ ( p110(X42)
& ~ p111(X42)
& p11(X42) )
| ~ r1(X1,X42) )
& ~ ! [X43] :
( ~ ( p110(X43)
& ~ p111(X43)
& ~ p11(X43) )
| ~ r1(X1,X43) ) ) ) )
| ~ r1(X0,X1) ) )
| ~ ! [X44] :
( p5(X44)
| ~ r1(X0,X44) ) ),
inference(rectify,[],[f4]) ).
fof(f4,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(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) )
& ( ~ p107(X1)
| p106(X1) )
& ( ~ p108(X1)
| p107(X1) )
& ( ~ p109(X1)
| p108(X1) )
& ( ~ p110(X1)
| p109(X1) )
& ( ~ p111(X1)
| p110(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) ) ) ) )
& ( ~ p106(X1)
| ( ( ~ p7(X1)
| ! [X0] :
( ~ p106(X0)
| p7(X0)
| ~ r1(X1,X0) ) )
& ( p7(X1)
| ! [X0] :
( ~ p106(X0)
| ~ p7(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p107(X1)
| ( ( ~ p8(X1)
| ! [X0] :
( ~ p107(X0)
| p8(X0)
| ~ r1(X1,X0) ) )
& ( p8(X1)
| ! [X0] :
( ~ p107(X0)
| ~ p8(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p108(X1)
| ( ( ~ p9(X1)
| ! [X0] :
( ~ p108(X0)
| p9(X0)
| ~ r1(X1,X0) ) )
& ( p9(X1)
| ! [X0] :
( ~ p108(X0)
| ~ p9(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p109(X1)
| ( ( ~ p10(X1)
| ! [X0] :
( ~ p109(X0)
| p10(X0)
| ~ r1(X1,X0) ) )
& ( p10(X1)
| ! [X0] :
( ~ p109(X0)
| ~ p10(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p110(X1)
| ( ( ~ p11(X1)
| ! [X0] :
( ~ p110(X0)
| p11(X0)
| ~ r1(X1,X0) ) )
& ( p11(X1)
| ! [X0] :
( ~ p110(X0)
| ~ p11(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) ) ) )
& ( ~ ( p105(X1)
& ~ p106(X1) )
| ( ~ ! [X0] :
( ~ ( p106(X0)
& ~ p107(X0)
& p7(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p106(X0)
& ~ p107(X0)
& ~ p7(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p106(X1)
& ~ p107(X1) )
| ( ~ ! [X0] :
( ~ ( p107(X0)
& ~ p108(X0)
& p8(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p107(X0)
& ~ p108(X0)
& ~ p8(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p107(X1)
& ~ p108(X1) )
| ( ~ ! [X0] :
( ~ ( p108(X0)
& ~ p109(X0)
& p9(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p108(X0)
& ~ p109(X0)
& ~ p9(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p108(X1)
& ~ p109(X1) )
| ( ~ ! [X0] :
( ~ ( p109(X0)
& ~ p110(X0)
& p10(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p109(X0)
& ~ p110(X0)
& ~ p10(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p109(X1)
& ~ p110(X1) )
| ( ~ ! [X0] :
( ~ ( p110(X0)
& ~ p111(X0)
& p11(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p110(X0)
& ~ p111(X0)
& ~ p11(X0) )
| ~ r1(X1,X0) ) ) ) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( p5(X1)
| ~ r1(X0,X1) ) ),
inference(negated_conjecture,[],[f3]) ).
fof(f3,conjecture,
~ ? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(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) )
& ( ~ p107(X1)
| p106(X1) )
& ( ~ p108(X1)
| p107(X1) )
& ( ~ p109(X1)
| p108(X1) )
& ( ~ p110(X1)
| p109(X1) )
& ( ~ p111(X1)
| p110(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) ) ) ) )
& ( ~ p106(X1)
| ( ( ~ p7(X1)
| ! [X0] :
( ~ p106(X0)
| p7(X0)
| ~ r1(X1,X0) ) )
& ( p7(X1)
| ! [X0] :
( ~ p106(X0)
| ~ p7(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p107(X1)
| ( ( ~ p8(X1)
| ! [X0] :
( ~ p107(X0)
| p8(X0)
| ~ r1(X1,X0) ) )
& ( p8(X1)
| ! [X0] :
( ~ p107(X0)
| ~ p8(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p108(X1)
| ( ( ~ p9(X1)
| ! [X0] :
( ~ p108(X0)
| p9(X0)
| ~ r1(X1,X0) ) )
& ( p9(X1)
| ! [X0] :
( ~ p108(X0)
| ~ p9(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p109(X1)
| ( ( ~ p10(X1)
| ! [X0] :
( ~ p109(X0)
| p10(X0)
| ~ r1(X1,X0) ) )
& ( p10(X1)
| ! [X0] :
( ~ p109(X0)
| ~ p10(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p110(X1)
| ( ( ~ p11(X1)
| ! [X0] :
( ~ p110(X0)
| p11(X0)
| ~ r1(X1,X0) ) )
& ( p11(X1)
| ! [X0] :
( ~ p110(X0)
| ~ p11(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) ) ) )
& ( ~ ( p105(X1)
& ~ p106(X1) )
| ( ~ ! [X0] :
( ~ ( p106(X0)
& ~ p107(X0)
& p7(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p106(X0)
& ~ p107(X0)
& ~ p7(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p106(X1)
& ~ p107(X1) )
| ( ~ ! [X0] :
( ~ ( p107(X0)
& ~ p108(X0)
& p8(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p107(X0)
& ~ p108(X0)
& ~ p8(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p107(X1)
& ~ p108(X1) )
| ( ~ ! [X0] :
( ~ ( p108(X0)
& ~ p109(X0)
& p9(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p108(X0)
& ~ p109(X0)
& ~ p9(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p108(X1)
& ~ p109(X1) )
| ( ~ ! [X0] :
( ~ ( p109(X0)
& ~ p110(X0)
& p10(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p109(X0)
& ~ p110(X0)
& ~ p10(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p109(X1)
& ~ p110(X1) )
| ( ~ ! [X0] :
( ~ ( p110(X0)
& ~ p111(X0)
& p11(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p110(X0)
& ~ p111(X0)
& ~ p11(X0) )
| ~ r1(X1,X0) ) ) ) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( p5(X1)
| ~ r1(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(f381,plain,
( sP19(sK62)
| ~ p100(sK62) ),
inference(subsumption_resolution,[],[f380,f335]) ).
fof(f335,plain,
~ p101(sK62),
inference(cnf_transformation,[],[f181]) ).
fof(f380,plain,
( p101(sK62)
| sP19(sK62)
| ~ p100(sK62) ),
inference(resolution,[],[f236,f350]) ).
fof(f350,plain,
sP29(sK62),
inference(resolution,[],[f191,f339]) ).
fof(f339,plain,
sP41(sK62),
inference(resolution,[],[f337,f334]) ).
fof(f334,plain,
! [X1] :
( ~ r1(sK62,X1)
| sP41(X1) ),
inference(cnf_transformation,[],[f181]) ).
fof(f337,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
fof(f191,plain,
! [X0] :
( ~ sP41(X0)
| sP29(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0] :
( ( ( ~ p101(X0)
| p100(X0) )
& ( ~ p102(X0)
| p101(X0) )
& ( ~ p103(X0)
| p102(X0) )
& ( ~ p104(X0)
| p103(X0) )
& ( ~ p105(X0)
| p104(X0) )
& ( ~ p106(X0)
| p105(X0) )
& ( ~ p107(X0)
| p106(X0) )
& ( ~ p108(X0)
| p107(X0) )
& ( ~ p109(X0)
| p108(X0) )
& ( ~ p110(X0)
| p109(X0) )
& sP40(X0)
& sP39(X0)
& sP38(X0)
& sP37(X0)
& sP36(X0)
& sP35(X0)
& sP34(X0)
& sP33(X0)
& sP32(X0)
& sP31(X0)
& sP30(X0)
& sP29(X0)
& sP28(X0)
& sP27(X0)
& sP26(X0)
& sP25(X0)
& sP24(X0)
& sP23(X0)
& sP22(X0)
& sP21(X0)
& sP20(X0) )
| ~ sP41(X0) ),
inference(rectify,[],[f55]) ).
fof(f55,plain,
! [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) )
& ( ~ p107(X1)
| p106(X1) )
& ( ~ p108(X1)
| p107(X1) )
& ( ~ p109(X1)
| p108(X1) )
& ( ~ p110(X1)
| p109(X1) )
& sP40(X1)
& sP39(X1)
& sP38(X1)
& sP37(X1)
& sP36(X1)
& sP35(X1)
& sP34(X1)
& sP33(X1)
& sP32(X1)
& sP31(X1)
& sP30(X1)
& sP29(X1)
& sP28(X1)
& sP27(X1)
& sP26(X1)
& sP25(X1)
& sP24(X1)
& sP23(X1)
& sP22(X1)
& sP21(X1)
& sP20(X1) )
| ~ sP41(X1) ),
inference(nnf_transformation,[],[f53]) ).
fof(f236,plain,
! [X0] :
( ~ sP29(X0)
| p101(X0)
| sP19(X0)
| ~ p100(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0] :
( ~ p100(X0)
| p101(X0)
| ( sP19(X0)
& sP18(X0) )
| ~ sP29(X0) ),
inference(rectify,[],[f79]) ).
fof(f79,plain,
! [X1] :
( ~ p100(X1)
| p101(X1)
| ( sP19(X1)
& sP18(X1) )
| ~ sP29(X1) ),
inference(nnf_transformation,[],[f41]) ).
fof(f473,plain,
( sP17(sK42(sK62))
| ~ p101(sK42(sK62)) ),
inference(subsumption_resolution,[],[f471,f385]) ).
fof(f385,plain,
~ p102(sK42(sK62)),
inference(resolution,[],[f382,f257]) ).
fof(f257,plain,
! [X0] :
( ~ sP19(X0)
| ~ p102(sK42(X0)) ),
inference(cnf_transformation,[],[f102]) ).
fof(f471,plain,
( p102(sK42(sK62))
| sP17(sK42(sK62))
| ~ p101(sK42(sK62)) ),
inference(resolution,[],[f442,f238]) ).
fof(f238,plain,
! [X0] :
( ~ sP28(X0)
| p102(X0)
| sP17(X0)
| ~ p101(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0] :
( ~ p101(X0)
| p102(X0)
| ( sP17(X0)
& sP16(X0) )
| ~ sP28(X0) ),
inference(rectify,[],[f81]) ).
fof(f81,plain,
! [X1] :
( ~ p101(X1)
| p102(X1)
| ( sP17(X1)
& sP16(X1) )
| ~ sP28(X1) ),
inference(nnf_transformation,[],[f40]) ).
fof(f442,plain,
sP28(sK42(sK62)),
inference(resolution,[],[f432,f190]) ).
fof(f190,plain,
! [X0] :
( ~ sP41(X0)
| sP28(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f432,plain,
sP41(sK42(sK62)),
inference(resolution,[],[f383,f334]) ).
fof(f383,plain,
r1(sK62,sK42(sK62)),
inference(resolution,[],[f382,f255]) ).
fof(f255,plain,
! [X0] :
( ~ sP19(X0)
| r1(X0,sK42(X0)) ),
inference(cnf_transformation,[],[f102]) ).
fof(f604,plain,
( sP15(sK44(sK42(sK62)))
| ~ p102(sK44(sK42(sK62))) ),
inference(subsumption_resolution,[],[f602,f488]) ).
fof(f488,plain,
~ p103(sK44(sK42(sK62))),
inference(resolution,[],[f474,f265]) ).
fof(f265,plain,
! [X0] :
( ~ sP17(X0)
| ~ p103(sK44(X0)) ),
inference(cnf_transformation,[],[f110]) ).
fof(f602,plain,
( p103(sK44(sK42(sK62)))
| sP15(sK44(sK42(sK62)))
| ~ p102(sK44(sK42(sK62))) ),
inference(resolution,[],[f562,f240]) ).
fof(f240,plain,
! [X0] :
( ~ sP27(X0)
| p103(X0)
| sP15(X0)
| ~ p102(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0] :
( ~ p102(X0)
| p103(X0)
| ( sP15(X0)
& sP14(X0) )
| ~ sP27(X0) ),
inference(rectify,[],[f83]) ).
fof(f83,plain,
! [X1] :
( ~ p102(X1)
| p103(X1)
| ( sP15(X1)
& sP14(X1) )
| ~ sP27(X1) ),
inference(nnf_transformation,[],[f39]) ).
fof(f562,plain,
sP27(sK44(sK42(sK62))),
inference(resolution,[],[f552,f189]) ).
fof(f189,plain,
! [X0] :
( ~ sP41(X0)
| sP27(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f552,plain,
sP41(sK44(sK42(sK62))),
inference(resolution,[],[f551,f334]) ).
fof(f551,plain,
r1(sK62,sK44(sK42(sK62))),
inference(resolution,[],[f542,f383]) ).
fof(f542,plain,
! [X0] :
( ~ r1(X0,sK42(sK62))
| r1(X0,sK44(sK42(sK62))) ),
inference(resolution,[],[f338,f486]) ).
fof(f486,plain,
r1(sK42(sK62),sK44(sK42(sK62))),
inference(resolution,[],[f474,f263]) ).
fof(f263,plain,
! [X0] :
( ~ sP17(X0)
| r1(X0,sK44(X0)) ),
inference(cnf_transformation,[],[f110]) ).
fof(f338,plain,
! [X2,X0,X1] :
( ~ r1(X1,X2)
| r1(X0,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0,X1,X2] :
( r1(X0,X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(flattening,[],[f10]) ).
fof(f10,plain,
! [X0,X1,X2] :
( r1(X0,X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2] :
( ( r1(X1,X2)
& r1(X0,X1) )
=> r1(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity) ).
fof(f1322,plain,
( sP12(sK46(sK44(sK42(sK62))))
| ~ p103(sK46(sK44(sK42(sK62)))) ),
inference(subsumption_resolution,[],[f1319,f639]) ).
fof(f639,plain,
~ p104(sK46(sK44(sK42(sK62)))),
inference(resolution,[],[f605,f273]) ).
fof(f273,plain,
! [X0] :
( ~ sP15(X0)
| ~ p104(sK46(X0)) ),
inference(cnf_transformation,[],[f118]) ).
fof(f1319,plain,
( p104(sK46(sK44(sK42(sK62))))
| sP12(sK46(sK44(sK42(sK62))))
| ~ p103(sK46(sK44(sK42(sK62)))) ),
inference(resolution,[],[f1279,f241]) ).
fof(f241,plain,
! [X0] :
( ~ sP26(X0)
| p104(X0)
| sP12(X0)
| ~ p103(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0] :
( ~ p103(X0)
| p104(X0)
| ( sP13(X0)
& sP12(X0) )
| ~ sP26(X0) ),
inference(rectify,[],[f85]) ).
fof(f85,plain,
! [X1] :
( ~ p103(X1)
| p104(X1)
| ( sP13(X1)
& sP12(X1) )
| ~ sP26(X1) ),
inference(nnf_transformation,[],[f38]) ).
fof(f1279,plain,
sP26(sK46(sK44(sK42(sK62)))),
inference(resolution,[],[f1249,f188]) ).
fof(f188,plain,
! [X0] :
( ~ sP41(X0)
| sP26(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f1249,plain,
sP41(sK46(sK44(sK42(sK62)))),
inference(resolution,[],[f1248,f334]) ).
fof(f1248,plain,
r1(sK62,sK46(sK44(sK42(sK62)))),
inference(resolution,[],[f675,f551]) ).
fof(f675,plain,
! [X0] :
( ~ r1(X0,sK44(sK42(sK62)))
| r1(X0,sK46(sK44(sK42(sK62)))) ),
inference(resolution,[],[f637,f338]) ).
fof(f637,plain,
r1(sK44(sK42(sK62)),sK46(sK44(sK42(sK62)))),
inference(resolution,[],[f605,f271]) ).
fof(f271,plain,
! [X0] :
( ~ sP15(X0)
| r1(X0,sK46(X0)) ),
inference(cnf_transformation,[],[f118]) ).
fof(f3881,plain,
p5(sK49(sK46(sK44(sK42(sK62))))),
inference(resolution,[],[f3879,f333]) ).
fof(f333,plain,
! [X2] :
( ~ r1(sK62,X2)
| p5(X2) ),
inference(cnf_transformation,[],[f181]) ).
fof(f3879,plain,
r1(sK62,sK49(sK46(sK44(sK42(sK62))))),
inference(resolution,[],[f1537,f1248]) ).
fof(f1537,plain,
! [X0] :
( ~ r1(X0,sK46(sK44(sK42(sK62))))
| r1(X0,sK49(sK46(sK44(sK42(sK62))))) ),
inference(resolution,[],[f1375,f338]) ).
fof(f1375,plain,
r1(sK46(sK44(sK42(sK62))),sK49(sK46(sK44(sK42(sK62))))),
inference(resolution,[],[f1323,f283]) ).
fof(f283,plain,
! [X0] :
( ~ sP12(X0)
| r1(X0,sK49(X0)) ),
inference(cnf_transformation,[],[f130]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL674+1.010 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 13:57:13 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (16160)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (16162)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (16161)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 % (16164)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37 % (16163)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)
% 0.14/0.37 % (16165)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37 % (16166)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37 % (16167)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)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [4]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [3]
% 0.20/0.38 TRYING [4]
% 0.20/0.38 TRYING [4]
% 0.20/0.38 TRYING [4]
% 0.20/0.39 TRYING [5]
% 0.20/0.39 TRYING [5]
% 0.20/0.39 TRYING [5]
% 0.20/0.39 TRYING [5]
% 0.20/0.40 TRYING [6]
% 0.20/0.41 TRYING [6]
% 0.20/0.41 TRYING [6]
% 0.20/0.41 TRYING [6]
% 0.20/0.41 % (16165)First to succeed.
% 0.20/0.41 TRYING [7]
% 0.20/0.42 % (16165)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16160"
% 0.20/0.42 % (16165)Refutation found. Thanks to Tanya!
% 0.20/0.42 % SZS status Theorem for theBenchmark
% 0.20/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.42 % (16165)------------------------------
% 0.20/0.42 % (16165)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.42 % (16165)Termination reason: Refutation
% 0.20/0.42
% 0.20/0.42 % (16165)Memory used [KB]: 1824
% 0.20/0.42 % (16165)Time elapsed: 0.046 s
% 0.20/0.42 % (16165)Instructions burned: 93 (million)
% 0.20/0.42 % (16160)Success in time 0.05 s
%------------------------------------------------------------------------------