TSTP Solution File: LAT394-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LAT394-1 : TPTP v8.1.2. Released v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 17:18:39 EDT 2023
% Result : Unsatisfiable 8.21s 1.82s
% Output : Refutation 8.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 62
% Number of leaves : 5
% Syntax : Number of formulae : 165 ( 165 unt; 0 def)
% Number of atoms : 165 ( 164 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 347 (; 347 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f70700,plain,
$false,
inference(unit_resulting_resolution,[],[f12,f62103]) ).
fof(f62103,plain,
! [X44,X43] : f(X43,neg(X43)) = f(X44,neg(X44)),
inference(superposition,[],[f61800,f61601]) ).
fof(f61601,plain,
! [X3,X4] : and(X4,f(X3,neg(X3))) = X4,
inference(forward_demodulation,[],[f61479,f14966]) ).
fof(f14966,plain,
! [X0] : neg(X0) = f(X0,f(f(X0,f(neg(X0),X0)),X0)),
inference(forward_demodulation,[],[f14906,f205]) ).
fof(f205,plain,
! [X0,X1] : neg(X0) = and(or(neg(X0),X1),f(X0,f(f(X0,f(neg(X0),X0)),X0))),
inference(forward_demodulation,[],[f198,f4]) ).
fof(f4,axiom,
! [X0] : f(X0,X0) = neg(X0),
file('/export/starexec/sandbox2/tmp/tmp.V9NDvDzVCH/Vampire---4.8_14045',sos_003) ).
fof(f198,plain,
! [X0,X1] : f(X0,X0) = and(or(neg(X0),X1),f(X0,f(f(X0,f(neg(X0),X0)),X0))),
inference(superposition,[],[f3,f173]) ).
fof(f173,plain,
! [X0,X1] : f(or(neg(X0),X1),f(X0,f(f(X0,f(neg(X0),X0)),X0))) = X0,
inference(superposition,[],[f161,f7]) ).
fof(f7,plain,
! [X0,X1] : or(X0,X1) = f(neg(X0),neg(X1)),
inference(forward_demodulation,[],[f6,f4]) ).
fof(f6,plain,
! [X0,X1] : or(X0,X1) = f(f(X0,X0),neg(X1)),
inference(forward_demodulation,[],[f2,f4]) ).
fof(f2,axiom,
! [X0,X1] : or(X0,X1) = f(f(X0,X0),f(X1,X1)),
file('/export/starexec/sandbox2/tmp/tmp.V9NDvDzVCH/Vampire---4.8_14045',sos_001) ).
fof(f161,plain,
! [X0,X1] : f(f(neg(neg(X0)),X1),f(X0,f(f(X0,f(neg(X0),X0)),X0))) = X0,
inference(forward_demodulation,[],[f137,f18]) ).
fof(f18,plain,
! [X0] : neg(neg(X0)) = and(X0,X0),
inference(forward_demodulation,[],[f13,f4]) ).
fof(f13,plain,
! [X0] : f(neg(X0),neg(X0)) = and(X0,X0),
inference(superposition,[],[f3,f4]) ).
fof(f137,plain,
! [X0,X1] : f(f(and(X0,X0),X1),f(X0,f(f(X0,f(neg(X0),X0)),X0))) = X0,
inference(superposition,[],[f8,f3]) ).
fof(f8,plain,
! [X2,X3,X0,X1] : f(f(f(f(X0,X1),f(X1,X2)),X3),f(X1,f(f(X1,f(neg(X0),X0)),X2))) = X1,
inference(forward_demodulation,[],[f1,f4]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] : f(f(f(f(X0,X1),f(X1,X2)),X3),f(X1,f(f(X1,f(f(X0,X0),X0)),X2))) = X1,
file('/export/starexec/sandbox2/tmp/tmp.V9NDvDzVCH/Vampire---4.8_14045',sos) ).
fof(f3,axiom,
! [X0,X1] : and(X0,X1) = f(f(X0,X1),f(X0,X1)),
file('/export/starexec/sandbox2/tmp/tmp.V9NDvDzVCH/Vampire---4.8_14045',sos_002) ).
fof(f14906,plain,
! [X0] : f(X0,f(f(X0,f(neg(X0),X0)),X0)) = and(or(neg(X0),f(X0,f(f(X0,f(neg(X0),X0)),X0))),f(X0,f(f(X0,f(neg(X0),X0)),X0))),
inference(superposition,[],[f14716,f205]) ).
fof(f14716,plain,
! [X2,X3] : and(or(and(or(X2,X3),X3),X3),X3) = X3,
inference(forward_demodulation,[],[f14715,f6956]) ).
fof(f6956,plain,
! [X2] : neg(neg(X2)) = X2,
inference(superposition,[],[f6905,f4]) ).
fof(f6905,plain,
! [X0] : f(neg(X0),neg(X0)) = X0,
inference(forward_demodulation,[],[f6800,f4]) ).
fof(f6800,plain,
! [X0] : f(f(X0,X0),neg(X0)) = X0,
inference(superposition,[],[f6308,f6309]) ).
fof(f6309,plain,
! [X9] : f(f(neg(neg(X9)),X9),neg(X9)) = X9,
inference(forward_demodulation,[],[f6240,f4]) ).
fof(f6240,plain,
! [X9] : f(f(neg(neg(X9)),X9),f(X9,X9)) = X9,
inference(superposition,[],[f1245,f161]) ).
fof(f1245,plain,
! [X2,X0,X1] : f(f(X0,X1),f(X1,X2)) = f(f(X0,X1),f(f(f(X0,X1),f(X1,X2)),X1)),
inference(superposition,[],[f665,f8]) ).
fof(f665,plain,
! [X16,X14,X15] : f(X14,X15) = f(X14,f(f(X14,X15),f(f(f(X14,X15),or(neg(X14),X14)),X16))),
inference(forward_demodulation,[],[f626,f7]) ).
fof(f626,plain,
! [X16,X14,X15] : f(X14,X15) = f(X14,f(f(X14,X15),f(f(f(X14,X15),f(neg(neg(X14)),neg(X14))),X16))),
inference(superposition,[],[f8,f125]) ).
fof(f125,plain,
! [X2,X0,X1] : f(f(f(neg(X0),f(X0,X1)),X2),f(X0,f(f(X0,f(neg(X0),X0)),X1))) = X0,
inference(superposition,[],[f8,f4]) ).
fof(f6308,plain,
! [X8,X7] : f(f(f(f(X7,X8),neg(X8)),X8),neg(X8)) = X8,
inference(forward_demodulation,[],[f6239,f4]) ).
fof(f6239,plain,
! [X8,X7] : f(f(f(f(X7,X8),neg(X8)),X8),f(X8,X8)) = X8,
inference(superposition,[],[f1245,f131]) ).
fof(f131,plain,
! [X2,X0,X1] : f(f(f(f(X1,X0),neg(X0)),X2),f(X0,f(f(X0,f(neg(X1),X1)),X0))) = X0,
inference(superposition,[],[f8,f4]) ).
fof(f14715,plain,
! [X2,X3] : neg(neg(X3)) = and(or(and(or(X2,X3),X3),X3),X3),
inference(forward_demodulation,[],[f14611,f4]) ).
fof(f14611,plain,
! [X2,X3] : f(neg(X3),neg(X3)) = and(or(and(or(X2,X3),X3),X3),X3),
inference(superposition,[],[f3,f13239]) ).
fof(f13239,plain,
! [X48,X49] : neg(X49) = f(or(and(or(X48,X49),X49),X49),X49),
inference(forward_demodulation,[],[f13238,f6956]) ).
fof(f13238,plain,
! [X48,X49] : neg(X49) = f(or(and(neg(neg(or(X48,X49))),X49),X49),X49),
inference(forward_demodulation,[],[f13237,f7488]) ).
fof(f7488,plain,
! [X10,X8,X9] : or(and(X8,X9),X10) = f(f(X8,X9),neg(X10)),
inference(superposition,[],[f7,f7116]) ).
fof(f7116,plain,
! [X0,X1] : f(X0,X1) = neg(and(X0,X1)),
inference(superposition,[],[f6956,f16]) ).
fof(f16,plain,
! [X2,X3] : neg(f(X2,X3)) = and(X2,X3),
inference(superposition,[],[f3,f4]) ).
fof(f13237,plain,
! [X48,X49] : neg(X49) = f(f(f(neg(neg(or(X48,X49))),X49),neg(X49)),X49),
inference(forward_demodulation,[],[f13236,f7141]) ).
fof(f7141,plain,
! [X31,X32] : f(neg(X32),X31) = or(X32,neg(X31)),
inference(superposition,[],[f7,f6956]) ).
fof(f13236,plain,
! [X48,X49] : neg(X49) = f(f(or(neg(or(X48,X49)),neg(X49)),neg(X49)),X49),
inference(forward_demodulation,[],[f13032,f6956]) ).
fof(f13032,plain,
! [X48,X49] : neg(X49) = f(f(or(neg(or(X48,X49)),neg(X49)),neg(X49)),neg(neg(X49))),
inference(superposition,[],[f10601,f19]) ).
fof(f19,plain,
! [X2,X1] : and(neg(X1),neg(X2)) = neg(or(X1,X2)),
inference(forward_demodulation,[],[f14,f4]) ).
fof(f14,plain,
! [X2,X1] : and(neg(X1),neg(X2)) = f(or(X1,X2),or(X1,X2)),
inference(superposition,[],[f3,f7]) ).
fof(f10601,plain,
! [X6,X5] : f(f(or(and(X5,X6),X6),X6),neg(X6)) = X6,
inference(superposition,[],[f6308,f7488]) ).
fof(f61479,plain,
! [X3,X4] : and(X4,f(X3,f(X3,f(f(X3,f(neg(X3),X3)),X3)))) = X4,
inference(superposition,[],[f61293,f14709]) ).
fof(f14709,plain,
! [X0] : neg(f(X0,f(f(X0,f(neg(X0),X0)),X0))) = X0,
inference(forward_demodulation,[],[f14606,f173]) ).
fof(f14606,plain,
! [X0] : neg(f(X0,f(f(X0,f(neg(X0),X0)),X0))) = f(or(neg(X0),f(X0,f(f(X0,f(neg(X0),X0)),X0))),f(X0,f(f(X0,f(neg(X0),X0)),X0))),
inference(superposition,[],[f13239,f205]) ).
fof(f61293,plain,
! [X40,X39] : and(X39,f(neg(X40),X40)) = X39,
inference(superposition,[],[f56162,f31778]) ).
fof(f31778,plain,
! [X48,X49] : f(f(X48,X49),neg(X49)) = X49,
inference(forward_demodulation,[],[f31677,f6956]) ).
fof(f31677,plain,
! [X48,X49] : neg(neg(X49)) = f(f(X48,X49),neg(X49)),
inference(superposition,[],[f31393,f13733]) ).
fof(f13733,plain,
! [X66,X67] : f(X67,X66) = or(neg(X67),neg(X66)),
inference(forward_demodulation,[],[f13610,f1418]) ).
fof(f1418,plain,
! [X8] : f(and(neg(X8),f(X8,or(neg(X8),X8))),f(X8,f(neg(X8),X8))) = X8,
inference(superposition,[],[f292,f1253]) ).
fof(f1253,plain,
! [X0,X1] : f(X0,X1) = f(X0,f(f(X0,X1),or(neg(X0),X0))),
inference(superposition,[],[f665,f665]) ).
fof(f292,plain,
! [X0,X1] : f(and(neg(X0),f(X0,X1)),f(X0,f(f(X0,f(neg(X0),X0)),X1))) = X0,
inference(superposition,[],[f141,f4]) ).
fof(f141,plain,
! [X6,X4,X5] : f(and(f(X4,X5),f(X5,X6)),f(X5,f(f(X5,f(neg(X4),X4)),X6))) = X5,
inference(superposition,[],[f8,f3]) ).
fof(f13610,plain,
! [X66,X67] : or(neg(X67),neg(X66)) = f(X67,f(and(neg(X66),f(X66,or(neg(X66),X66))),f(X66,f(neg(X66),X66)))),
inference(superposition,[],[f11684,f1417]) ).
fof(f1417,plain,
! [X7] : neg(X7) = and(and(neg(X7),f(X7,or(neg(X7),X7))),f(X7,f(neg(X7),X7))),
inference(superposition,[],[f398,f1253]) ).
fof(f398,plain,
! [X0,X1] : neg(X0) = and(and(neg(X0),f(X0,X1)),f(X0,f(f(X0,f(neg(X0),X0)),X1))),
inference(forward_demodulation,[],[f374,f4]) ).
fof(f374,plain,
! [X0,X1] : f(X0,X0) = and(and(neg(X0),f(X0,X1)),f(X0,f(f(X0,f(neg(X0),X0)),X1))),
inference(superposition,[],[f3,f292]) ).
fof(f11684,plain,
! [X6,X4,X5] : or(neg(X4),and(X5,X6)) = f(X4,f(X5,X6)),
inference(superposition,[],[f7489,f6956]) ).
fof(f7489,plain,
! [X11,X12,X13] : or(X13,and(X11,X12)) = f(neg(X13),f(X11,X12)),
inference(superposition,[],[f7,f7116]) ).
fof(f31393,plain,
! [X235,X234] : neg(X235) = f(or(X234,X235),X235),
inference(forward_demodulation,[],[f31217,f22553]) ).
fof(f22553,plain,
! [X2,X0] : neg(X0) = f(f(neg(X0),X2),X0),
inference(forward_demodulation,[],[f22552,f22549]) ).
fof(f22549,plain,
! [X28,X29] : f(neg(X28),f(X28,X29)) = X28,
inference(forward_demodulation,[],[f22441,f6956]) ).
fof(f22441,plain,
! [X28,X29] : neg(neg(X28)) = f(neg(X28),f(X28,X29)),
inference(superposition,[],[f22419,f13733]) ).
fof(f22419,plain,
! [X50,X51] : neg(X50) = f(X50,or(X50,X51)),
inference(forward_demodulation,[],[f22388,f4]) ).
fof(f22388,plain,
! [X50,X51] : f(X50,X50) = f(X50,or(X50,X51)),
inference(superposition,[],[f6954,f22198]) ).
fof(f22198,plain,
! [X0,X1] : and(X0,or(X0,X1)) = X0,
inference(superposition,[],[f22068,f7]) ).
fof(f22068,plain,
! [X120,X119] : and(X119,f(neg(X119),X120)) = X119,
inference(forward_demodulation,[],[f22067,f6956]) ).
fof(f22067,plain,
! [X120,X119] : neg(neg(X119)) = and(X119,f(neg(X119),X120)),
inference(forward_demodulation,[],[f22066,f14966]) ).
fof(f22066,plain,
! [X120,X119] : neg(neg(X119)) = and(X119,f(f(X119,f(f(X119,f(neg(X119),X119)),X119)),X120)),
inference(forward_demodulation,[],[f22065,f18]) ).
fof(f22065,plain,
! [X120,X119] : and(X119,f(f(X119,f(f(X119,f(neg(X119),X119)),X119)),X120)) = and(X119,X119),
inference(forward_demodulation,[],[f21812,f7117]) ).
fof(f7117,plain,
! [X0,X1] : f(f(X0,X1),f(X0,f(f(X0,f(neg(X0),X0)),X0))) = X0,
inference(superposition,[],[f161,f6956]) ).
fof(f21812,plain,
! [X120,X119] : and(X119,f(f(X119,f(f(X119,f(neg(X119),X119)),X119)),X120)) = and(X119,f(f(X119,f(f(X119,f(f(X119,f(neg(X119),X119)),X119)),X120)),f(X119,f(f(X119,f(neg(X119),X119)),X119)))),
inference(superposition,[],[f1651,f14709]) ).
fof(f1651,plain,
! [X10,X9] : and(neg(X9),f(X9,X10)) = and(neg(X9),f(f(neg(X9),f(X9,X10)),X9)),
inference(forward_demodulation,[],[f1650,f16]) ).
fof(f1650,plain,
! [X10,X9] : and(neg(X9),f(f(neg(X9),f(X9,X10)),X9)) = neg(f(neg(X9),f(X9,X10))),
inference(forward_demodulation,[],[f1613,f4]) ).
fof(f1613,plain,
! [X10,X9] : and(neg(X9),f(f(neg(X9),f(X9,X10)),X9)) = f(f(neg(X9),f(X9,X10)),f(neg(X9),f(X9,X10))),
inference(superposition,[],[f3,f1246]) ).
fof(f1246,plain,
! [X3,X4] : f(neg(X3),f(X3,X4)) = f(neg(X3),f(f(neg(X3),f(X3,X4)),X3)),
inference(superposition,[],[f665,f125]) ).
fof(f6954,plain,
! [X0,X1] : f(X0,X1) = f(and(X0,X1),and(X0,X1)),
inference(superposition,[],[f6905,f16]) ).
fof(f22552,plain,
! [X2,X0,X1] : neg(X0) = f(f(f(neg(neg(X0)),f(neg(X0),X1)),X2),X0),
inference(forward_demodulation,[],[f22551,f4]) ).
fof(f22551,plain,
! [X2,X0,X1] : neg(X0) = f(f(f(f(neg(X0),neg(X0)),f(neg(X0),X1)),X2),X0),
inference(forward_demodulation,[],[f22550,f6956]) ).
fof(f22550,plain,
! [X2,X0,X1] : neg(X0) = f(f(f(f(neg(X0),neg(X0)),f(neg(X0),X1)),X2),neg(neg(X0))),
inference(forward_demodulation,[],[f22443,f22336]) ).
fof(f22336,plain,
! [X51,X52] : neg(X51) = f(X51,f(neg(X51),X52)),
inference(forward_demodulation,[],[f22261,f4]) ).
fof(f22261,plain,
! [X51,X52] : f(X51,X51) = f(X51,f(neg(X51),X52)),
inference(superposition,[],[f6954,f22068]) ).
fof(f22443,plain,
! [X2,X0,X1] : neg(X0) = f(f(f(f(neg(X0),neg(X0)),f(neg(X0),X1)),X2),f(neg(X0),f(neg(neg(X0)),X1))),
inference(superposition,[],[f144,f22419]) ).
fof(f144,plain,
! [X2,X3,X0,X1] : f(f(f(f(neg(X0),X1),f(X1,X2)),X3),f(X1,f(f(X1,or(neg(X0),X0)),X2))) = X1,
inference(superposition,[],[f8,f7]) ).
fof(f31217,plain,
! [X235,X234] : f(or(X234,X235),X235) = f(f(neg(X235),f(or(X234,X235),X235)),X235),
inference(superposition,[],[f6309,f30837]) ).
fof(f30837,plain,
! [X84,X85] : neg(f(or(X84,X85),X85)) = X85,
inference(forward_demodulation,[],[f30836,f6956]) ).
fof(f30836,plain,
! [X84,X85] : neg(neg(X85)) = neg(f(or(X84,X85),X85)),
inference(forward_demodulation,[],[f30835,f6956]) ).
fof(f30835,plain,
! [X84,X85] : neg(neg(X85)) = neg(f(neg(neg(or(X84,X85))),X85)),
inference(forward_demodulation,[],[f30593,f7141]) ).
fof(f30593,plain,
! [X84,X85] : neg(neg(X85)) = neg(or(neg(or(X84,X85)),neg(X85))),
inference(superposition,[],[f29893,f19]) ).
fof(f29893,plain,
! [X21,X20] : neg(X21) = neg(or(and(X20,X21),X21)),
inference(forward_demodulation,[],[f29892,f6956]) ).
fof(f29892,plain,
! [X21,X20] : neg(neg(neg(X21))) = neg(or(and(X20,X21),X21)),
inference(forward_demodulation,[],[f29891,f18]) ).
fof(f29891,plain,
! [X21,X20] : and(neg(X21),neg(X21)) = neg(or(and(X20,X21),X21)),
inference(forward_demodulation,[],[f29669,f24360]) ).
fof(f24360,plain,
! [X90,X91] : or(and(X90,X91),X91) = and(or(and(X90,X91),X91),X91),
inference(forward_demodulation,[],[f24359,f7488]) ).
fof(f24359,plain,
! [X90,X91] : f(f(X90,X91),neg(X91)) = and(f(f(X90,X91),neg(X91)),X91),
inference(forward_demodulation,[],[f24264,f7116]) ).
fof(f24264,plain,
! [X90,X91] : neg(and(f(X90,X91),neg(X91))) = and(neg(and(f(X90,X91),neg(X91))),X91),
inference(superposition,[],[f22276,f303]) ).
fof(f303,plain,
! [X0,X1] : f(and(f(X1,X0),neg(X0)),f(X0,f(f(X0,f(neg(X1),X1)),X0))) = X0,
inference(superposition,[],[f141,f4]) ).
fof(f22276,plain,
! [X3,X4] : neg(X3) = and(neg(X3),f(X3,X4)),
inference(forward_demodulation,[],[f22195,f14966]) ).
fof(f22195,plain,
! [X3,X4] : f(X3,f(f(X3,f(neg(X3),X3)),X3)) = and(f(X3,f(f(X3,f(neg(X3),X3)),X3)),f(X3,X4)),
inference(superposition,[],[f22068,f14709]) ).
fof(f29669,plain,
! [X21,X20] : and(neg(X21),neg(X21)) = neg(and(or(and(X20,X21),X21),X21)),
inference(superposition,[],[f20,f29067]) ).
fof(f29067,plain,
! [X26,X25] : neg(X26) = f(or(and(X25,X26),X26),X26),
inference(forward_demodulation,[],[f29066,f27580]) ).
fof(f27580,plain,
! [X40,X41,X39] : neg(X41) = or(f(or(and(X39,X40),X41),X41),neg(X41)),
inference(forward_demodulation,[],[f27579,f6956]) ).
fof(f27579,plain,
! [X40,X41,X39] : neg(X41) = or(f(neg(neg(or(and(X39,X40),X41))),X41),neg(X41)),
inference(forward_demodulation,[],[f27439,f7141]) ).
fof(f27439,plain,
! [X40,X41,X39] : neg(X41) = or(or(neg(or(and(X39,X40),X41)),neg(X41)),neg(X41)),
inference(superposition,[],[f26517,f7491]) ).
fof(f7491,plain,
! [X21,X19,X20] : neg(or(and(X19,X20),X21)) = and(f(X19,X20),neg(X21)),
inference(superposition,[],[f19,f7116]) ).
fof(f26517,plain,
! [X66,X67] : or(or(and(X66,X67),X67),X67) = X67,
inference(forward_demodulation,[],[f26516,f303]) ).
fof(f26516,plain,
! [X66,X67] : f(and(f(X66,X67),neg(X67)),f(X67,f(f(X67,f(neg(X66),X66)),X67))) = or(or(and(X66,X67),X67),X67),
inference(forward_demodulation,[],[f26515,f7488]) ).
fof(f26515,plain,
! [X66,X67] : f(and(f(X66,X67),neg(X67)),f(X67,f(f(X67,f(neg(X66),X66)),X67))) = or(f(f(X66,X67),neg(X67)),X67),
inference(forward_demodulation,[],[f26363,f25]) ).
fof(f25,plain,
! [X3,X4,X5] : or(f(X3,X4),X5) = f(and(X3,X4),neg(X5)),
inference(superposition,[],[f7,f16]) ).
fof(f26363,plain,
! [X66,X67] : f(and(f(X66,X67),neg(X67)),f(X67,f(f(X67,f(neg(X66),X66)),X67))) = f(and(f(X66,X67),neg(X67)),neg(X67)),
inference(superposition,[],[f23403,f455]) ).
fof(f455,plain,
! [X0,X1] : neg(X1) = and(and(f(X0,X1),neg(X1)),f(X1,f(f(X1,f(neg(X0),X0)),X1))),
inference(forward_demodulation,[],[f423,f4]) ).
fof(f423,plain,
! [X0,X1] : f(X1,X1) = and(and(f(X0,X1),neg(X1)),f(X1,f(f(X1,f(neg(X0),X0)),X1))),
inference(superposition,[],[f3,f303]) ).
fof(f23403,plain,
! [X41,X39] : f(X39,X41) = f(X39,and(X39,X41)),
inference(forward_demodulation,[],[f23402,f22549]) ).
fof(f23402,plain,
! [X40,X41,X39] : f(f(neg(X39),f(X39,X40)),X41) = f(X39,and(f(neg(X39),f(X39,X40)),X41)),
inference(forward_demodulation,[],[f23267,f16]) ).
fof(f23267,plain,
! [X40,X41,X39] : f(f(neg(X39),f(X39,X40)),X41) = f(X39,neg(f(f(neg(X39),f(X39,X40)),X41))),
inference(superposition,[],[f22583,f125]) ).
fof(f22583,plain,
! [X37,X35] : f(f(X35,X37),neg(X35)) = X35,
inference(forward_demodulation,[],[f22582,f6956]) ).
fof(f22582,plain,
! [X37,X35] : f(f(neg(neg(X35)),X37),neg(X35)) = X35,
inference(forward_demodulation,[],[f22581,f4]) ).
fof(f22581,plain,
! [X37,X35] : f(f(f(neg(X35),neg(X35)),X37),neg(X35)) = X35,
inference(forward_demodulation,[],[f22580,f22336]) ).
fof(f22580,plain,
! [X36,X37,X35] : f(f(f(neg(X35),neg(X35)),X37),f(X35,f(neg(X35),or(X35,X36)))) = X35,
inference(forward_demodulation,[],[f22456,f22336]) ).
fof(f22456,plain,
! [X36,X37,X35] : f(f(f(neg(X35),neg(X35)),X37),f(X35,f(f(X35,f(neg(X35),X35)),or(X35,X36)))) = X35,
inference(superposition,[],[f125,f22419]) ).
fof(f29066,plain,
! [X26,X25] : f(or(and(X25,X26),X26),X26) = or(f(or(and(X25,X26),X26),X26),neg(X26)),
inference(forward_demodulation,[],[f29017,f7116]) ).
fof(f29017,plain,
! [X26,X25] : neg(and(or(and(X25,X26),X26),X26)) = or(neg(and(or(and(X25,X26),X26),X26)),neg(X26)),
inference(superposition,[],[f23158,f10801]) ).
fof(f10801,plain,
! [X3,X4] : or(and(or(and(X3,X4),X4),X4),X4) = X4,
inference(forward_demodulation,[],[f10596,f7488]) ).
fof(f10596,plain,
! [X3,X4] : or(and(f(f(X3,X4),neg(X4)),X4),X4) = X4,
inference(superposition,[],[f7488,f6308]) ).
fof(f23158,plain,
! [X72,X73] : neg(X72) = or(neg(X72),neg(or(X72,X73))),
inference(superposition,[],[f22783,f19]) ).
fof(f22783,plain,
! [X6,X7] : or(X6,and(X6,X7)) = X6,
inference(superposition,[],[f22549,f7489]) ).
fof(f20,plain,
! [X3,X4] : and(f(X3,X4),f(X3,X4)) = neg(and(X3,X4)),
inference(forward_demodulation,[],[f15,f4]) ).
fof(f15,plain,
! [X3,X4] : and(f(X3,X4),f(X3,X4)) = f(and(X3,X4),and(X3,X4)),
inference(superposition,[],[f3,f3]) ).
fof(f56162,plain,
! [X3,X4,X5] : and(X4,f(f(X4,f(neg(X3),X3)),X5)) = X4,
inference(forward_demodulation,[],[f56161,f23318]) ).
fof(f23318,plain,
! [X0,X1] : or(and(X0,X1),X0) = X0,
inference(superposition,[],[f22583,f7488]) ).
fof(f56161,plain,
! [X3,X4,X5] : and(X4,f(f(X4,f(neg(X3),X3)),X5)) = or(and(X4,f(f(X4,f(neg(X3),X3)),X5)),X4),
inference(forward_demodulation,[],[f56057,f16]) ).
fof(f56057,plain,
! [X3,X4,X5] : neg(f(X4,f(f(X4,f(neg(X3),X3)),X5))) = or(neg(f(X4,f(f(X4,f(neg(X3),X3)),X5))),X4),
inference(superposition,[],[f27224,f8]) ).
fof(f27224,plain,
! [X4,X5] : neg(X5) = or(neg(X5),f(f(X4,neg(X5)),X5)),
inference(superposition,[],[f26150,f10592]) ).
fof(f10592,plain,
! [X6,X4,X5] : or(and(X5,X6),neg(X4)) = f(f(X5,X6),X4),
inference(superposition,[],[f7488,f6956]) ).
fof(f26150,plain,
! [X40,X41] : or(X41,or(and(X40,X41),X41)) = X41,
inference(forward_demodulation,[],[f26149,f10601]) ).
fof(f26149,plain,
! [X40,X41] : f(f(or(and(X40,X41),X41),X41),neg(X41)) = or(X41,or(and(X40,X41),X41)),
inference(forward_demodulation,[],[f26148,f24360]) ).
fof(f26148,plain,
! [X40,X41] : f(f(or(and(X40,X41),X41),X41),neg(X41)) = or(X41,and(or(and(X40,X41),X41),X41)),
inference(forward_demodulation,[],[f26007,f7489]) ).
fof(f26007,plain,
! [X40,X41] : f(f(or(and(X40,X41),X41),X41),neg(X41)) = f(neg(X41),f(or(and(X40,X41),X41),X41)),
inference(superposition,[],[f22869,f13347]) ).
fof(f13347,plain,
! [X21,X20] : neg(X21) = and(f(or(and(X20,X21),X21),X21),neg(X21)),
inference(forward_demodulation,[],[f13062,f4]) ).
fof(f13062,plain,
! [X21,X20] : f(X21,X21) = and(f(or(and(X20,X21),X21),X21),neg(X21)),
inference(superposition,[],[f3,f10601]) ).
fof(f22869,plain,
! [X41,X39] : f(X39,X41) = f(and(X39,X41),X39),
inference(forward_demodulation,[],[f22868,f22549]) ).
fof(f22868,plain,
! [X40,X41,X39] : f(f(neg(X39),f(X39,X40)),X41) = f(and(f(neg(X39),f(X39,X40)),X41),X39),
inference(forward_demodulation,[],[f22737,f16]) ).
fof(f22737,plain,
! [X40,X41,X39] : f(f(neg(X39),f(X39,X40)),X41) = f(neg(f(f(neg(X39),f(X39,X40)),X41)),X39),
inference(superposition,[],[f22549,f125]) ).
fof(f61800,plain,
! [X3,X4] : and(f(X3,neg(X3)),X4) = X4,
inference(forward_demodulation,[],[f61640,f14966]) ).
fof(f61640,plain,
! [X3,X4] : and(f(X3,f(X3,f(f(X3,f(neg(X3),X3)),X3))),X4) = X4,
inference(superposition,[],[f61559,f14709]) ).
fof(f61559,plain,
! [X120,X121] : and(f(neg(X121),X121),X120) = X120,
inference(superposition,[],[f30146,f61293]) ).
fof(f30146,plain,
! [X56,X55] : and(X55,X56) = and(X56,and(X55,X56)),
inference(superposition,[],[f23894,f29905]) ).
fof(f29905,plain,
! [X31,X30] : or(and(X30,X31),X31) = X31,
inference(forward_demodulation,[],[f29904,f6956]) ).
fof(f29904,plain,
! [X31,X30] : neg(neg(X31)) = or(and(X30,X31),X31),
inference(forward_demodulation,[],[f29903,f22553]) ).
fof(f29903,plain,
! [X31,X32,X30] : or(and(X30,X31),X31) = f(f(neg(neg(X31)),X32),neg(X31)),
inference(forward_demodulation,[],[f29902,f4]) ).
fof(f29902,plain,
! [X31,X32,X30] : or(and(X30,X31),X31) = f(f(f(neg(X31),neg(X31)),X32),neg(X31)),
inference(forward_demodulation,[],[f29901,f29893]) ).
fof(f29901,plain,
! [X31,X32,X30] : or(and(X30,X31),X31) = f(f(f(neg(or(and(X30,X31),X31)),neg(X31)),X32),neg(or(and(X30,X31),X31))),
inference(forward_demodulation,[],[f29900,f22336]) ).
fof(f29900,plain,
! [X31,X32,X30] : or(and(X30,X31),X31) = f(f(f(neg(or(and(X30,X31),X31)),neg(X31)),X32),f(or(and(X30,X31),X31),f(neg(or(and(X30,X31),X31)),X31))),
inference(forward_demodulation,[],[f29672,f22336]) ).
fof(f29672,plain,
! [X31,X32,X30] : or(and(X30,X31),X31) = f(f(f(neg(or(and(X30,X31),X31)),neg(X31)),X32),f(or(and(X30,X31),X31),f(f(or(and(X30,X31),X31),f(neg(or(and(X30,X31),X31)),or(and(X30,X31),X31))),X31))),
inference(superposition,[],[f125,f29067]) ).
fof(f23894,plain,
! [X6,X5] : and(or(X5,X6),X5) = X5,
inference(forward_demodulation,[],[f23893,f6956]) ).
fof(f23893,plain,
! [X6,X5] : neg(neg(X5)) = and(or(X5,X6),X5),
inference(forward_demodulation,[],[f23811,f4]) ).
fof(f23811,plain,
! [X6,X5] : f(neg(X5),neg(X5)) = and(or(X5,X6),X5),
inference(superposition,[],[f3,f23450]) ).
fof(f23450,plain,
! [X104,X105] : neg(X104) = f(or(X104,X105),X104),
inference(forward_demodulation,[],[f23297,f6956]) ).
fof(f23297,plain,
! [X104,X105] : neg(X104) = f(or(X104,X105),neg(neg(X104))),
inference(superposition,[],[f22583,f7]) ).
fof(f12,plain,
f(x1,neg(x1)) != f(x0,neg(x0)),
inference(forward_demodulation,[],[f11,f4]) ).
fof(f11,plain,
f(x0,f(x0,x0)) != f(x1,neg(x1)),
inference(superposition,[],[f5,f4]) ).
fof(f5,axiom,
f(x0,f(x0,x0)) != f(x1,f(x1,x1)),
file('/export/starexec/sandbox2/tmp/tmp.V9NDvDzVCH/Vampire---4.8_14045',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.10 % Problem : LAT394-1 : TPTP v8.1.2. Released v5.4.0.
% 0.04/0.11 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.09/0.31 % Computer : n010.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Wed Aug 30 14:13:33 EDT 2023
% 0.09/0.31 % CPUTime :
% 0.14/0.39 % (14153)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.39 % (14154)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.14/0.39 % (14155)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.14/0.39 % (14157)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.14/0.39 % (14158)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.14/0.39 % (14156)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.14/0.39 % (14160)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.14/0.39 % (14159)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [3]
% 0.14/0.40 TRYING [3]
% 0.14/0.40 TRYING [4]
% 0.14/0.41 TRYING [4]
% 0.14/0.49 TRYING [5]
% 3.14/0.91 TRYING [5]
% 6.85/1.50 TRYING [1]
% 6.85/1.50 TRYING [2]
% 6.85/1.50 TRYING [3]
% 6.85/1.51 TRYING [4]
% 7.70/1.69 TRYING [5]
% 8.21/1.82 % (14160)First to succeed.
% 8.21/1.82 % (14160)Refutation found. Thanks to Tanya!
% 8.21/1.82 % SZS status Unsatisfiable for Vampire---4
% 8.21/1.82 % SZS output start Proof for Vampire---4
% See solution above
% 8.21/1.82 % (14160)------------------------------
% 8.21/1.82 % (14160)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 8.21/1.82 % (14160)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 8.21/1.82 % (14160)Termination reason: Refutation
% 8.21/1.82
% 8.21/1.82 % (14160)Memory used [KB]: 44135
% 8.21/1.82 % (14160)Time elapsed: 1.428 s
% 8.21/1.82 % (14160)------------------------------
% 8.21/1.82 % (14160)------------------------------
% 8.21/1.82 % (14153)Success in time 1.508 s
% 8.21/1.82 % Vampire---4.8 exiting
%------------------------------------------------------------------------------