TSTP Solution File: LCL002-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LCL002-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n027.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 Aug 22 10:47:08 EDT 2023
% Result : Unsatisfiable 61.09s 44.90s
% Output : CNFRefutation 61.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 73
% Number of leaves : 9
% Syntax : Number of formulae : 448 ( 295 unt; 6 typ; 0 def)
% Number of atoms : 624 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 431 ( 249 ~; 182 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 3 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 1156 (;1156 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ is_a_theorem > or > #nlpp > not > c > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(is_a_theorem,type,
is_a_theorem: $i > $o ).
tff(b,type,
b: $i ).
tff(or,type,
or: ( $i * $i ) > $i ).
tff(not,type,
not: $i > $i ).
tff(c,type,
c: $i ).
tff(f_35,axiom,
! [U,Z,X,Y,V] : is_a_theorem(or(not(or(not(or(not(X),Y)),or(Z,or(U,V)))),or(not(or(not(U),X)),or(Z,or(V,X))))),
file(unknown,unknown) ).
tff(f_33,axiom,
! [X,Y] :
( ~ is_a_theorem(or(not(X),Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ),
file(unknown,unknown) ).
tff(f_37,axiom,
~ is_a_theorem(or(not(or(not(b),c)),or(not(or(a,b)),or(a,c)))),
file(unknown,unknown) ).
tff(c_4,plain,
! [V_7,Z_4,Y_6,U_3,X_5] : is_a_theorem(or(not(or(not(or(not(X_5),Y_6)),or(Z_4,or(U_3,V_7)))),or(not(or(not(U_3),X_5)),or(Z_4,or(V_7,X_5))))),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_8,plain,
! [U_13,X_14,Y_12,V_10,Z_11] : is_a_theorem(or(not(or(not(or(not(X_14),Y_12)),or(Z_11,or(U_13,V_10)))),or(not(or(not(U_13),X_14)),or(Z_11,or(V_10,X_14))))),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_2,plain,
! [Y_2,X_1] :
( is_a_theorem(Y_2)
| ~ is_a_theorem(X_1)
| ~ is_a_theorem(or(not(X_1),Y_2)) ),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_13,plain,
! [Y_16,V_18,U_15,Z_19,X_17] :
( is_a_theorem(or(not(or(not(U_15),X_17)),or(Z_19,or(V_18,X_17))))
| ~ is_a_theorem(or(not(or(not(X_17),Y_16)),or(Z_19,or(U_15,V_18)))) ),
inference(resolution,[status(thm)],[c_8,c_2]) ).
tff(c_17,plain,
! [Z_21,Y_22,V_20,U_23,X_24] : is_a_theorem(or(not(or(not(Z_21),or(not(X_24),Y_22))),or(not(or(not(U_23),X_24)),or(or(V_20,X_24),or(not(X_24),Y_22))))),
inference(resolution,[status(thm)],[c_4,c_13]) ).
tff(c_12,plain,
! [U_13,X_14,Y_12,V_10,Z_11] :
( is_a_theorem(or(not(or(not(U_13),X_14)),or(Z_11,or(V_10,X_14))))
| ~ is_a_theorem(or(not(or(not(X_14),Y_12)),or(Z_11,or(U_13,V_10)))) ),
inference(resolution,[status(thm)],[c_8,c_2]) ).
tff(c_25,plain,
! [Z_25,U_26,V_29,Y_28,X_27] : is_a_theorem(or(not(or(not(or(V_29,X_27)),Z_25)),or(not(or(not(U_26),X_27)),or(or(not(X_27),Y_28),Z_25)))),
inference(resolution,[status(thm)],[c_17,c_12]) ).
tff(c_53,plain,
! [U_42,X_43,Y_40,V_44,Z_41] : is_a_theorem(or(not(or(not(or(not(X_43),Y_40)),or(V_44,X_43))),or(not(or(not(U_42),X_43)),or(Z_41,or(V_44,X_43))))),
inference(resolution,[status(thm)],[c_25,c_12]) ).
tff(c_68,plain,
! [Z_47,X_45,U_49,V_48,Y_46] :
( is_a_theorem(or(not(or(not(U_49),X_45)),or(Z_47,or(V_48,X_45))))
| ~ is_a_theorem(or(not(or(not(X_45),Y_46)),or(V_48,X_45))) ),
inference(resolution,[status(thm)],[c_53,c_2]) ).
tff(c_210,plain,
! [U_109,Z_107,X_110,V_106,U_108] : is_a_theorem(or(not(or(not(U_108),or(not(X_110),or(V_106,X_110)))),or(Z_107,or(not(or(not(U_109),X_110)),or(not(X_110),or(V_106,X_110)))))),
inference(resolution,[status(thm)],[c_4,c_68]) ).
tff(c_233,plain,
! [U_109,Z_107,X_110,V_106,U_108] : is_a_theorem(or(not(or(not(not(or(not(U_109),X_110))),U_108)),or(Z_107,or(or(not(X_110),or(V_106,X_110)),U_108)))),
inference(resolution,[status(thm)],[c_210,c_12]) ).
tff(c_480,plain,
! [U_167,U_163,V_165,Z_166,X_164] :
( is_a_theorem(or(Z_166,or(not(or(not(U_167),X_164)),or(not(X_164),or(V_165,X_164)))))
| ~ is_a_theorem(or(not(U_163),or(not(X_164),or(V_165,X_164)))) ),
inference(resolution,[status(thm)],[c_210,c_2]) ).
tff(c_505,plain,
! [U_168,U_172,Z_170,X_169,V_171] : is_a_theorem(or(Z_170,or(not(or(not(U_172),U_168)),or(not(U_168),or(or(not(X_169),or(V_171,X_169)),U_168))))),
inference(resolution,[status(thm)],[c_233,c_480]) ).
tff(c_556,plain,
! [U_168,U_172,X_169,V_171,X_1] :
( is_a_theorem(or(not(or(not(U_172),U_168)),or(not(U_168),or(or(not(X_169),or(V_171,X_169)),U_168))))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_505,c_2]) ).
tff(c_557,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_556]) ).
tff(c_499,plain,
! [U_167,X_110,V_106,U_108,Z_166] : is_a_theorem(or(Z_166,or(not(or(not(U_167),U_108)),or(not(U_108),or(or(not(X_110),or(V_106,X_110)),U_108))))),
inference(resolution,[status(thm)],[c_233,c_480]) ).
tff(c_588,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_557,c_499]) ).
tff(c_590,plain,
! [U_173,U_174,X_175,V_176] : is_a_theorem(or(not(or(not(U_173),U_174)),or(not(U_174),or(or(not(X_175),or(V_176,X_175)),U_174)))),
inference(splitRight,[status(thm)],[c_556]) ).
tff(c_716,plain,
! [X_187,V_188,U_189,U_190] : is_a_theorem(or(not(or(not(or(not(X_187),or(V_188,X_187))),U_189)),or(not(U_190),or(U_190,U_189)))),
inference(resolution,[status(thm)],[c_590,c_12]) ).
tff(c_234,plain,
! [U_109,Z_107,X_110,V_106,U_108] :
( is_a_theorem(or(Z_107,or(not(or(not(U_109),X_110)),or(not(X_110),or(V_106,X_110)))))
| ~ is_a_theorem(or(not(U_108),or(not(X_110),or(V_106,X_110)))) ),
inference(resolution,[status(thm)],[c_210,c_2]) ).
tff(c_756,plain,
! [Z_191,U_192,U_193] : is_a_theorem(or(Z_191,or(not(or(not(U_192),U_193)),or(not(U_193),or(U_193,U_193))))),
inference(resolution,[status(thm)],[c_716,c_234]) ).
tff(c_816,plain,
! [U_192,U_193,X_1] :
( is_a_theorem(or(not(or(not(U_192),U_193)),or(not(U_193),or(U_193,U_193))))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_756,c_2]) ).
tff(c_817,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_816]) ).
tff(c_745,plain,
! [Z_107,U_109,U_189] : is_a_theorem(or(Z_107,or(not(or(not(U_109),U_189)),or(not(U_189),or(U_189,U_189))))),
inference(resolution,[status(thm)],[c_716,c_234]) ).
tff(c_931,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_817,c_745]) ).
tff(c_933,plain,
! [U_198,U_199] : is_a_theorem(or(not(or(not(U_198),U_199)),or(not(U_199),or(U_199,U_199)))),
inference(splitRight,[status(thm)],[c_816]) ).
tff(c_67,plain,
! [U_42,X_43,Y_40,V_44,Z_41] :
( is_a_theorem(or(not(or(not(U_42),X_43)),or(Z_41,or(V_44,X_43))))
| ~ is_a_theorem(or(not(or(not(X_43),Y_40)),or(V_44,X_43))) ),
inference(resolution,[status(thm)],[c_53,c_2]) ).
tff(c_7661,plain,
! [U_546,U_547,Z_548] : is_a_theorem(or(not(or(not(U_546),or(U_547,U_547))),or(Z_548,or(not(U_547),or(U_547,U_547))))),
inference(resolution,[status(thm)],[c_933,c_67]) ).
tff(c_7758,plain,
! [U_549,U_550,Z_551] : is_a_theorem(or(not(or(not(not(U_549)),U_550)),or(Z_551,or(or(U_549,U_549),U_550)))),
inference(resolution,[status(thm)],[c_7661,c_12]) ).
tff(c_7846,plain,
! [U_549,Z_551,U_550] : is_a_theorem(or(not(or(not(or(U_549,U_549)),not(U_549))),or(Z_551,or(U_550,not(U_549))))),
inference(resolution,[status(thm)],[c_7758,c_12]) ).
tff(c_1041,plain,
! [U_202,U_203] : is_a_theorem(or(not(or(not(U_202),U_203)),or(not(U_202),or(U_202,U_203)))),
inference(resolution,[status(thm)],[c_933,c_12]) ).
tff(c_1268,plain,
! [U_214,U_215] : is_a_theorem(or(not(or(not(U_214),U_214)),or(not(U_214),or(U_215,U_214)))),
inference(resolution,[status(thm)],[c_1041,c_12]) ).
tff(c_1483,plain,
! [Z_224,U_225,U_226,U_227] : is_a_theorem(or(Z_224,or(not(or(not(U_225),U_226)),or(not(U_226),or(U_227,U_226))))),
inference(resolution,[status(thm)],[c_1268,c_234]) ).
tff(c_1563,plain,
! [U_225,U_226,U_227,X_1] :
( is_a_theorem(or(not(or(not(U_225),U_226)),or(not(U_226),or(U_227,U_226))))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_1483,c_2]) ).
tff(c_1564,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_1563]) ).
tff(c_1300,plain,
! [Z_107,U_109,U_214,U_215] : is_a_theorem(or(Z_107,or(not(or(not(U_109),U_214)),or(not(U_214),or(U_215,U_214))))),
inference(resolution,[status(thm)],[c_1268,c_234]) ).
tff(c_1609,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1564,c_1300]) ).
tff(c_1662,plain,
! [U_234,U_235,U_236] : is_a_theorem(or(not(or(not(U_234),U_235)),or(not(U_235),or(U_236,U_235)))),
inference(splitRight,[status(thm)],[c_1563]) ).
tff(c_13814,plain,
! [U_811,U_812,U_813,Z_814] : is_a_theorem(or(not(or(not(U_811),or(U_812,U_813))),or(Z_814,or(not(U_813),or(U_812,U_813))))),
inference(resolution,[status(thm)],[c_1662,c_67]) ).
tff(c_15018,plain,
! [Z_857,U_858,U_859,U_860] :
( is_a_theorem(or(Z_857,or(not(U_858),or(U_859,U_858))))
| ~ is_a_theorem(or(not(U_860),or(U_859,U_858))) ),
inference(resolution,[status(thm)],[c_13814,c_2]) ).
tff(c_17669,plain,
! [Z_930,U_931,U_932,Z_933] : is_a_theorem(or(Z_930,or(not(or(U_931,not(U_932))),or(Z_933,or(U_931,not(U_932)))))),
inference(resolution,[status(thm)],[c_7846,c_15018]) ).
tff(c_17834,plain,
! [U_931,U_932,Z_933,X_1] :
( is_a_theorem(or(not(or(U_931,not(U_932))),or(Z_933,or(U_931,not(U_932)))))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_17669,c_2]) ).
tff(c_17835,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_17834]) ).
tff(c_15243,plain,
! [Z_857,U_550,U_549,Z_551] : is_a_theorem(or(Z_857,or(not(or(U_550,not(U_549))),or(Z_551,or(U_550,not(U_549)))))),
inference(resolution,[status(thm)],[c_7846,c_15018]) ).
tff(c_17976,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_17835,c_15243]) ).
tff(c_17978,plain,
! [U_934,U_935,Z_936] : is_a_theorem(or(not(or(U_934,not(U_935))),or(Z_936,or(U_934,not(U_935))))),
inference(splitRight,[status(thm)],[c_17834]) ).
tff(c_18089,plain,
! [X_937,Z_938,U_939] : is_a_theorem(or(not(or(not(not(X_937)),X_937)),or(Z_938,or(not(U_939),X_937)))),
inference(resolution,[status(thm)],[c_17978,c_12]) ).
tff(c_13925,plain,
! [Z_814,U_813,U_812,U_811] :
( is_a_theorem(or(Z_814,or(not(U_813),or(U_812,U_813))))
| ~ is_a_theorem(or(not(U_811),or(U_812,U_813))) ),
inference(resolution,[status(thm)],[c_13814,c_2]) ).
tff(c_20538,plain,
! [Z_1012,U_1013,X_1014,Z_1015] : is_a_theorem(or(Z_1012,or(not(or(not(U_1013),X_1014)),or(Z_1015,or(not(U_1013),X_1014))))),
inference(resolution,[status(thm)],[c_18089,c_13925]) ).
tff(c_20717,plain,
! [U_1013,X_1014,Z_1015,X_1] :
( is_a_theorem(or(not(or(not(U_1013),X_1014)),or(Z_1015,or(not(U_1013),X_1014))))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_20538,c_2]) ).
tff(c_21806,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_20717]) ).
tff(c_18190,plain,
! [U_939,X_937,Z_938] : is_a_theorem(or(not(or(not(not(U_939)),not(X_937))),or(Z_938,or(X_937,not(X_937))))),
inference(resolution,[status(thm)],[c_18089,c_12]) ).
tff(c_21966,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_21806,c_18190]) ).
tff(c_21968,plain,
! [U_1046,X_1047,Z_1048] : is_a_theorem(or(not(or(not(U_1046),X_1047)),or(Z_1048,or(not(U_1046),X_1047)))),
inference(splitRight,[status(thm)],[c_20717]) ).
tff(c_22080,plain,
! [U_1046,Z_1048,X_1047] : is_a_theorem(or(not(or(not(not(U_1046)),U_1046)),or(Z_1048,or(X_1047,U_1046)))),
inference(resolution,[status(thm)],[c_21968,c_12]) ).
tff(c_1782,plain,
! [U_240,U_241,U_242] : is_a_theorem(or(not(or(not(U_240),U_241)),or(not(U_242),or(U_242,U_241)))),
inference(resolution,[status(thm)],[c_1662,c_12]) ).
tff(c_32798,plain,
! [U_1449,U_1450,U_1451,Z_1452] : is_a_theorem(or(not(or(not(U_1449),or(U_1450,U_1451))),or(Z_1452,or(not(U_1450),or(U_1450,U_1451))))),
inference(resolution,[status(thm)],[c_1782,c_67]) ).
tff(c_33944,plain,
! [Z_1476,U_1477,U_1478,U_1479] :
( is_a_theorem(or(Z_1476,or(not(U_1477),or(U_1477,U_1478))))
| ~ is_a_theorem(or(not(U_1479),or(U_1477,U_1478))) ),
inference(resolution,[status(thm)],[c_32798,c_2]) ).
tff(c_34317,plain,
! [Z_1480,Z_1481,X_1482,U_1483] : is_a_theorem(or(Z_1480,or(not(Z_1481),or(Z_1481,or(X_1482,U_1483))))),
inference(resolution,[status(thm)],[c_22080,c_33944]) ).
tff(c_34533,plain,
! [Z_1481,X_1482,U_1483,X_1] :
( is_a_theorem(or(not(Z_1481),or(Z_1481,or(X_1482,U_1483))))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_34317,c_2]) ).
tff(c_34534,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_34533]) ).
tff(c_33,plain,
! [X_33,Z_31,U_32,Y_30,V_34] :
( is_a_theorem(or(not(or(not(U_32),X_33)),or(or(not(X_33),Y_30),Z_31)))
| ~ is_a_theorem(or(not(or(V_34,X_33)),Z_31)) ),
inference(resolution,[status(thm)],[c_25,c_2]) ).
tff(c_4798,plain,
! [U_398,Z_396,X_400,U_399,Y_397,V_395] : is_a_theorem(or(not(or(not(U_398),or(Z_396,or(U_399,V_395)))),or(or(not(or(Z_396,or(U_399,V_395))),Y_397),or(not(or(not(U_399),X_400)),or(Z_396,or(V_395,X_400)))))),
inference(resolution,[status(thm)],[c_4,c_33]) ).
tff(c_32,plain,
! [Z_25,U_26,V_29,Y_28,X_27] :
( is_a_theorem(or(not(or(not(U_26),X_27)),or(or(not(X_27),Y_28),Z_25)))
| ~ is_a_theorem(or(not(or(V_29,X_27)),Z_25)) ),
inference(resolution,[status(thm)],[c_25,c_2]) ).
tff(c_4850,plain,
! [Z_396,X_400,U_399,U_26,Y_397,Y_28,V_395] : is_a_theorem(or(not(or(not(U_26),or(Z_396,or(U_399,V_395)))),or(or(not(or(Z_396,or(U_399,V_395))),Y_28),or(or(not(or(Z_396,or(U_399,V_395))),Y_397),or(not(or(not(U_399),X_400)),or(Z_396,or(V_395,X_400))))))),
inference(resolution,[status(thm)],[c_4798,c_32]) ).
tff(c_34814,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_34534,c_4850]) ).
tff(c_34818,plain,
! [Z_1491,X_1492,U_1493] : is_a_theorem(or(not(Z_1491),or(Z_1491,or(X_1492,U_1493)))),
inference(splitRight,[status(thm)],[c_34533]) ).
tff(c_34989,plain,
! [Z_1494,X_1495,U_1496] :
( is_a_theorem(or(Z_1494,or(X_1495,U_1496)))
| ~ is_a_theorem(Z_1494) ),
inference(resolution,[status(thm)],[c_34818,c_2]) ).
tff(c_32939,plain,
! [Z_1452,U_1450,U_1451,U_1449] :
( is_a_theorem(or(Z_1452,or(not(U_1450),or(U_1450,U_1451))))
| ~ is_a_theorem(or(not(U_1449),or(U_1450,U_1451))) ),
inference(resolution,[status(thm)],[c_32798,c_2]) ).
tff(c_35147,plain,
! [Z_1452,X_1495,U_1496,U_1449] :
( is_a_theorem(or(Z_1452,or(not(X_1495),or(X_1495,U_1496))))
| ~ is_a_theorem(not(U_1449)) ),
inference(resolution,[status(thm)],[c_34989,c_32939]) ).
tff(c_35896,plain,
! [U_1449] : ~ is_a_theorem(not(U_1449)),
inference(splitLeft,[status(thm)],[c_35147]) ).
tff(c_22084,plain,
! [U_1049,Z_1050,X_1051] : is_a_theorem(or(not(or(not(not(U_1049)),U_1049)),or(Z_1050,or(X_1051,U_1049)))),
inference(resolution,[status(thm)],[c_21968,c_12]) ).
tff(c_23292,plain,
! [Z_1085,X_1086,U_1087,Z_1088] : is_a_theorem(or(Z_1085,or(not(or(X_1086,U_1087)),or(Z_1088,or(X_1086,U_1087))))),
inference(resolution,[status(thm)],[c_22084,c_13925]) ).
tff(c_23471,plain,
! [X_1086,U_1087,Z_1088,X_1] :
( is_a_theorem(or(not(or(X_1086,U_1087)),or(Z_1088,or(X_1086,U_1087))))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_23292,c_2]) ).
tff(c_23472,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_23471]) ).
tff(c_22163,plain,
! [Z_814,X_1051,U_1049,Z_1050] : is_a_theorem(or(Z_814,or(not(or(X_1051,U_1049)),or(Z_1050,or(X_1051,U_1049))))),
inference(resolution,[status(thm)],[c_22084,c_13925]) ).
tff(c_23605,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_23472,c_22163]) ).
tff(c_23606,plain,
! [X_1086,U_1087,Z_1088] : is_a_theorem(or(not(or(X_1086,U_1087)),or(Z_1088,or(X_1086,U_1087)))),
inference(splitRight,[status(thm)],[c_23471]) ).
tff(c_32941,plain,
! [U_1453,U_1454,Z_1455,U_1456] : is_a_theorem(or(not(or(not(not(U_1453)),U_1454)),or(Z_1455,or(or(U_1453,U_1456),U_1454)))),
inference(resolution,[status(thm)],[c_32798,c_12]) ).
tff(c_40024,plain,
! [U_1682,U_1683,Z_1684,U_1685] : is_a_theorem(or(not(or(not(or(U_1682,U_1683)),not(U_1682))),or(Z_1684,or(U_1685,not(U_1682))))),
inference(resolution,[status(thm)],[c_32941,c_12]) ).
tff(c_72413,plain,
! [U_2506,U_2507,Z_2508,Z_2509] : is_a_theorem(or(not(or(not(U_2506),or(U_2507,not(U_2507)))),or(Z_2508,or(Z_2509,or(U_2507,not(U_2507)))))),
inference(resolution,[status(thm)],[c_40024,c_67]) ).
tff(c_72602,plain,
! [Z_2510,U_2511,Z_2512,U_2513] : is_a_theorem(or(not(or(not(Z_2510),U_2511)),or(Z_2512,or(or(U_2513,not(U_2513)),U_2511)))),
inference(resolution,[status(thm)],[c_72413,c_12]) ).
tff(c_74196,plain,
! [U_2538,Z_2539,Z_2540,U_2541] : is_a_theorem(or(not(or(not(or(U_2538,not(U_2538))),Z_2539)),or(Z_2540,or(U_2541,Z_2539)))),
inference(resolution,[status(thm)],[c_72602,c_12]) ).
tff(c_74390,plain,
! [Z_2542,U_2543,Z_2544,U_2545] :
( is_a_theorem(or(Z_2542,or(U_2543,Z_2544)))
| ~ is_a_theorem(or(not(or(U_2545,not(U_2545))),Z_2544)) ),
inference(resolution,[status(thm)],[c_74196,c_2]) ).
tff(c_74855,plain,
! [Z_2546,U_2547,Z_2548,X_2549] : is_a_theorem(or(Z_2546,or(U_2547,or(Z_2548,or(X_2549,not(X_2549)))))),
inference(resolution,[status(thm)],[c_23606,c_74390]) ).
tff(c_75147,plain,
! [U_2547,Z_2548,X_2549,X_1] :
( is_a_theorem(or(U_2547,or(Z_2548,or(X_2549,not(X_2549)))))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_74855,c_2]) ).
tff(c_75148,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_75147]) ).
tff(c_74828,plain,
! [Z_2542,U_2543,Z_1088,X_1086] : is_a_theorem(or(Z_2542,or(U_2543,or(Z_1088,or(X_1086,not(X_1086)))))),
inference(resolution,[status(thm)],[c_23606,c_74390]) ).
tff(c_75384,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_75148,c_74828]) ).
tff(c_75390,plain,
! [U_2550,Z_2551,X_2552] : is_a_theorem(or(U_2550,or(Z_2551,or(X_2552,not(X_2552))))),
inference(splitRight,[status(thm)],[c_75147]) ).
tff(c_75708,plain,
! [Z_2551,X_2552,X_1] :
( is_a_theorem(or(Z_2551,or(X_2552,not(X_2552))))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_75390,c_2]) ).
tff(c_75709,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_75708]) ).
tff(c_75385,plain,
! [U_2547,Z_2548,X_2549] : is_a_theorem(or(U_2547,or(Z_2548,or(X_2549,not(X_2549))))),
inference(splitRight,[status(thm)],[c_75147]) ).
tff(c_75943,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_75709,c_75385]) ).
tff(c_76230,plain,
! [Z_2559,X_2560] : is_a_theorem(or(Z_2559,or(X_2560,not(X_2560)))),
inference(splitRight,[status(thm)],[c_75708]) ).
tff(c_76519,plain,
! [X_2560,X_1] :
( is_a_theorem(or(X_2560,not(X_2560)))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_76230,c_2]) ).
tff(c_76520,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_76519]) ).
tff(c_75944,plain,
! [Z_2551,X_2552] : is_a_theorem(or(Z_2551,or(X_2552,not(X_2552)))),
inference(splitRight,[status(thm)],[c_75708]) ).
tff(c_76753,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76520,c_75944]) ).
tff(c_76755,plain,
! [X_2561] : is_a_theorem(or(X_2561,not(X_2561))),
inference(splitRight,[status(thm)],[c_76519]) ).
tff(c_76926,plain,
! [X_1] :
( is_a_theorem(not(not(X_1)))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_76755,c_2]) ).
tff(c_76986,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(negUnitSimplification,[status(thm)],[c_35896,c_76926]) ).
tff(c_76754,plain,
! [X_2560] : is_a_theorem(or(X_2560,not(X_2560))),
inference(splitRight,[status(thm)],[c_76519]) ).
tff(c_77220,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76986,c_76754]) ).
tff(c_77232,plain,
! [Z_2569,X_2570,U_2571] : is_a_theorem(or(Z_2569,or(not(X_2570),or(X_2570,U_2571)))),
inference(splitRight,[status(thm)],[c_35147]) ).
tff(c_77425,plain,
! [X_2570,U_2571,X_1] :
( is_a_theorem(or(not(X_2570),or(X_2570,U_2571)))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_77232,c_2]) ).
tff(c_77426,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_77425]) ).
tff(c_77221,plain,
! [Z_1452,X_1495,U_1496] : is_a_theorem(or(Z_1452,or(not(X_1495),or(X_1495,U_1496)))),
inference(splitRight,[status(thm)],[c_35147]) ).
tff(c_77582,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_77426,c_77221]) ).
tff(c_77587,plain,
! [X_2578,U_2579] : is_a_theorem(or(not(X_2578),or(X_2578,U_2579))),
inference(splitRight,[status(thm)],[c_77425]) ).
tff(c_77734,plain,
! [X_2580,U_2581] :
( is_a_theorem(or(X_2580,U_2581))
| ~ is_a_theorem(X_2580) ),
inference(resolution,[status(thm)],[c_77587,c_2]) ).
tff(c_23818,plain,
! [X_1099,U_1100,Z_1101] : is_a_theorem(or(not(or(not(X_1099),not(U_1100))),or(Z_1101,or(U_1100,not(U_1100))))),
inference(resolution,[status(thm)],[c_22084,c_12]) ).
tff(c_23936,plain,
! [Z_1101,U_1100,X_1099] :
( is_a_theorem(or(Z_1101,or(U_1100,not(U_1100))))
| ~ is_a_theorem(or(not(X_1099),not(U_1100))) ),
inference(resolution,[status(thm)],[c_23818,c_2]) ).
tff(c_77950,plain,
! [Z_1101,U_1100,X_1099] :
( is_a_theorem(or(Z_1101,or(U_1100,not(U_1100))))
| ~ is_a_theorem(not(X_1099)) ),
inference(resolution,[status(thm)],[c_77734,c_23936]) ).
tff(c_79468,plain,
! [X_1099] : ~ is_a_theorem(not(X_1099)),
inference(splitLeft,[status(thm)],[c_77950]) ).
tff(c_13928,plain,
! [U_815,U_816,Z_817,U_818] : is_a_theorem(or(not(or(not(not(U_815)),U_816)),or(Z_817,or(or(U_818,U_815),U_816)))),
inference(resolution,[status(thm)],[c_13814,c_12]) ).
tff(c_14031,plain,
! [Z_817,U_818,U_815,U_816] :
( is_a_theorem(or(Z_817,or(or(U_818,U_815),U_816)))
| ~ is_a_theorem(or(not(not(U_815)),U_816)) ),
inference(resolution,[status(thm)],[c_13928,c_2]) ).
tff(c_80259,plain,
! [Z_2641,U_2642,U_2643,U_2644] : is_a_theorem(or(Z_2641,or(or(U_2642,U_2643),or(not(U_2643),U_2644)))),
inference(resolution,[status(thm)],[c_77587,c_14031]) ).
tff(c_80410,plain,
! [U_2642,U_2643,U_2644,X_1] :
( is_a_theorem(or(or(U_2642,U_2643),or(not(U_2643),U_2644)))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_80259,c_2]) ).
tff(c_80574,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_80410]) ).
tff(c_78307,plain,
! [Z_2592,U_2593,X_2594] : is_a_theorem(or(Z_2592,or(not(U_2593),or(X_2594,U_2593)))),
inference(resolution,[status(thm)],[c_77587,c_13925]) ).
tff(c_22193,plain,
! [Z_1050,X_1051,U_1049] :
( is_a_theorem(or(Z_1050,or(X_1051,U_1049)))
| ~ is_a_theorem(or(not(not(U_1049)),U_1049)) ),
inference(resolution,[status(thm)],[c_22084,c_2]) ).
tff(c_78449,plain,
! [Z_1050,X_1051,U_2593,X_2594] : is_a_theorem(or(Z_1050,or(X_1051,or(not(U_2593),or(X_2594,U_2593))))),
inference(resolution,[status(thm)],[c_78307,c_22193]) ).
tff(c_80714,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80574,c_78449]) ).
tff(c_80715,plain,
! [U_2642,U_2643,U_2644] : is_a_theorem(or(or(U_2642,U_2643),or(not(U_2643),U_2644))),
inference(splitRight,[status(thm)],[c_80410]) ).
tff(c_1826,plain,
! [U_242,U_240,U_241] : is_a_theorem(or(not(or(not(U_242),U_240)),or(not(U_242),or(U_241,U_240)))),
inference(resolution,[status(thm)],[c_1782,c_12]) ).
tff(c_15293,plain,
! [Z_861,U_862,U_863,U_864] : is_a_theorem(or(Z_861,or(not(or(U_862,U_863)),or(not(U_864),or(U_862,U_863))))),
inference(resolution,[status(thm)],[c_1826,c_15018]) ).
tff(c_15456,plain,
! [U_862,U_863,U_864,X_1] :
( is_a_theorem(or(not(or(U_862,U_863)),or(not(U_864),or(U_862,U_863))))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_15293,c_2]) ).
tff(c_15459,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_15456]) ).
tff(c_15271,plain,
! [Z_857,U_241,U_240,U_242] : is_a_theorem(or(Z_857,or(not(or(U_241,U_240)),or(not(U_242),or(U_241,U_240))))),
inference(resolution,[status(thm)],[c_1826,c_15018]) ).
tff(c_15590,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_15459,c_15271]) ).
tff(c_15682,plain,
! [U_872,U_873,U_874] : is_a_theorem(or(not(or(U_872,U_873)),or(not(U_874),or(U_872,U_873)))),
inference(splitRight,[status(thm)],[c_15456]) ).
tff(c_15785,plain,
! [U_875,U_876,U_877] :
( is_a_theorem(or(not(U_875),or(U_876,U_877)))
| ~ is_a_theorem(or(U_876,U_877)) ),
inference(resolution,[status(thm)],[c_15682,c_2]) ).
tff(c_2218,plain,
! [U_265,U_266,U_267] : is_a_theorem(or(not(or(not(U_265),U_266)),or(not(U_265),or(U_267,U_266)))),
inference(resolution,[status(thm)],[c_1782,c_12]) ).
tff(c_2267,plain,
! [U_265,U_267,U_266] :
( is_a_theorem(or(not(U_265),or(U_267,U_266)))
| ~ is_a_theorem(or(not(U_265),U_266)) ),
inference(resolution,[status(thm)],[c_2218,c_2]) ).
tff(c_2268,plain,
! [U_268,U_269,U_270] :
( is_a_theorem(or(not(U_268),or(U_269,U_270)))
| ~ is_a_theorem(or(not(U_268),U_270)) ),
inference(resolution,[status(thm)],[c_2218,c_2]) ).
tff(c_2345,plain,
! [U_271,U_272,U_273] :
( is_a_theorem(or(U_271,U_272))
| ~ is_a_theorem(U_273)
| ~ is_a_theorem(or(not(U_273),U_272)) ),
inference(resolution,[status(thm)],[c_2268,c_2]) ).
tff(c_2403,plain,
! [U_271,U_267,U_266,U_265] :
( is_a_theorem(or(U_271,or(U_267,U_266)))
| ~ is_a_theorem(U_265)
| ~ is_a_theorem(or(not(U_265),U_266)) ),
inference(resolution,[status(thm)],[c_2267,c_2345]) ).
tff(c_15903,plain,
! [U_271,U_875,U_877,U_876,U_267] :
( is_a_theorem(or(U_271,or(U_267,or(U_876,U_877))))
| ~ is_a_theorem(U_875)
| ~ is_a_theorem(or(U_876,U_877)) ),
inference(resolution,[status(thm)],[c_15785,c_2403]) ).
tff(c_16979,plain,
! [U_875] : ~ is_a_theorem(U_875),
inference(splitLeft,[status(thm)],[c_15903]) ).
tff(c_15783,plain,
! [X_14,U_874,U_873] : is_a_theorem(or(not(or(not(not(X_14)),X_14)),or(not(U_874),or(U_873,X_14)))),
inference(resolution,[status(thm)],[c_15682,c_12]) ).
tff(c_17117,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16979,c_15783]) ).
tff(c_17209,plain,
! [U_912,U_913,U_914,U_915] :
( is_a_theorem(or(U_912,or(U_913,or(U_914,U_915))))
| ~ is_a_theorem(or(U_914,U_915)) ),
inference(splitRight,[status(thm)],[c_15903]) ).
tff(c_27605,plain,
! [U_1271,X_1272,U_1273,U_1274] :
( is_a_theorem(or(not(or(not(U_1271),X_1272)),or(U_1273,or(U_1274,X_1272))))
| ~ is_a_theorem(or(U_1271,U_1274)) ),
inference(resolution,[status(thm)],[c_17209,c_12]) ).
tff(c_28379,plain,
! [U_1305,U_1306,U_1307,X_1308] :
( is_a_theorem(or(not(or(not(U_1305),U_1306)),or(U_1307,or(X_1308,U_1306))))
| ~ is_a_theorem(or(U_1306,U_1305)) ),
inference(resolution,[status(thm)],[c_27605,c_12]) ).
tff(c_28511,plain,
! [U_1307,X_1308,U_1306,U_1305] :
( is_a_theorem(or(U_1307,or(X_1308,U_1306)))
| ~ is_a_theorem(or(not(U_1305),U_1306))
| ~ is_a_theorem(or(U_1306,U_1305)) ),
inference(resolution,[status(thm)],[c_28379,c_2]) ).
tff(c_86821,plain,
! [U_2876,X_2877,X_2878,U_2879] :
( is_a_theorem(or(U_2876,or(X_2877,or(X_2878,U_2879))))
| ~ is_a_theorem(or(or(X_2878,U_2879),X_2878)) ),
inference(resolution,[status(thm)],[c_77587,c_28511]) ).
tff(c_86995,plain,
! [U_2880,X_2881,U_2882,U_2883] : is_a_theorem(or(U_2880,or(X_2881,or(or(not(U_2882),U_2883),U_2882)))),
inference(resolution,[status(thm)],[c_80715,c_86821]) ).
tff(c_87157,plain,
! [X_2881,U_2882,U_2883,X_1] :
( is_a_theorem(or(X_2881,or(or(not(U_2882),U_2883),U_2882)))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_86995,c_2]) ).
tff(c_87158,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_87157]) ).
tff(c_86969,plain,
! [U_2876,X_2877,U_2643,U_2644] : is_a_theorem(or(U_2876,or(X_2877,or(or(not(U_2643),U_2644),U_2643)))),
inference(resolution,[status(thm)],[c_80715,c_86821]) ).
tff(c_87306,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_87158,c_86969]) ).
tff(c_87392,plain,
! [X_2891,U_2892,U_2893] : is_a_theorem(or(X_2891,or(or(not(U_2892),U_2893),U_2892))),
inference(splitRight,[status(thm)],[c_87157]) ).
tff(c_87573,plain,
! [U_2892,U_2893,X_1] :
( is_a_theorem(or(or(not(U_2892),U_2893),U_2892))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_87392,c_2]) ).
tff(c_87574,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_87573]) ).
tff(c_87307,plain,
! [X_2881,U_2882,U_2883] : is_a_theorem(or(X_2881,or(or(not(U_2882),U_2883),U_2882))),
inference(splitRight,[status(thm)],[c_87157]) ).
tff(c_87724,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_87574,c_87307]) ).
tff(c_88046,plain,
! [U_2901,U_2902] : is_a_theorem(or(or(not(U_2901),U_2902),U_2901)),
inference(splitRight,[status(thm)],[c_87573]) ).
tff(c_78485,plain,
! [U_2593,X_2594,X_1] :
( is_a_theorem(or(not(U_2593),or(X_2594,U_2593)))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_78307,c_2]) ).
tff(c_78486,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_78485]) ).
tff(c_77704,plain,
! [Z_814,U_2579,X_2578] : is_a_theorem(or(Z_814,or(not(U_2579),or(X_2578,U_2579)))),
inference(resolution,[status(thm)],[c_77587,c_13925]) ).
tff(c_78641,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78486,c_77704]) ).
tff(c_78645,plain,
! [U_2595,X_2596] : is_a_theorem(or(not(U_2595),or(X_2596,U_2595))),
inference(splitRight,[status(thm)],[c_78485]) ).
tff(c_27730,plain,
! [U_1273,U_1274,X_1272,U_1271] :
( is_a_theorem(or(U_1273,or(U_1274,X_1272)))
| ~ is_a_theorem(or(not(U_1271),X_1272))
| ~ is_a_theorem(or(U_1271,U_1274)) ),
inference(resolution,[status(thm)],[c_27605,c_2]) ).
tff(c_83178,plain,
! [U_2733,U_2734,X_2735,U_2736] :
( is_a_theorem(or(U_2733,or(U_2734,or(X_2735,U_2736))))
| ~ is_a_theorem(or(U_2736,U_2734)) ),
inference(resolution,[status(thm)],[c_78645,c_27730]) ).
tff(c_83339,plain,
! [U_2734,X_2735,U_2736,X_1] :
( is_a_theorem(or(U_2734,or(X_2735,U_2736)))
| ~ is_a_theorem(X_1)
| ~ is_a_theorem(or(U_2736,U_2734)) ),
inference(resolution,[status(thm)],[c_83178,c_2]) ).
tff(c_83349,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_83339]) ).
tff(c_16,plain,
! [V_7,Z_4,Y_6,U_3,X_5] : is_a_theorem(or(not(or(not(Z_4),or(not(X_5),Y_6))),or(not(or(not(U_3),X_5)),or(or(V_7,X_5),or(not(X_5),Y_6))))),
inference(resolution,[status(thm)],[c_4,c_13]) ).
tff(c_43,plain,
! [V_39,U_36,X_37,Z_35,Y_38] :
( is_a_theorem(or(not(or(not(U_36),X_37)),or(or(V_39,X_37),or(not(X_37),Y_38))))
| ~ is_a_theorem(or(not(Z_35),or(not(X_37),Y_38))) ),
inference(resolution,[status(thm)],[c_17,c_2]) ).
tff(c_683,plain,
! [V_181,U_184,V_182,Y_183,U_185,X_186] : is_a_theorem(or(not(or(not(U_184),or(not(U_185),X_186))),or(or(V_182,or(not(U_185),X_186)),or(not(or(not(U_185),X_186)),or(or(V_181,X_186),or(not(X_186),Y_183)))))),
inference(resolution,[status(thm)],[c_16,c_43]) ).
tff(c_7581,plain,
! [Y_544,X_543,V_540,U_545,Y_539,V_542,U_541] : is_a_theorem(or(not(or(not(U_541),or(not(U_545),X_543))),or(or(not(or(not(U_545),X_543)),Y_539),or(or(V_542,or(not(U_545),X_543)),or(not(or(not(U_545),X_543)),or(or(V_540,X_543),or(not(X_543),Y_544))))))),
inference(resolution,[status(thm)],[c_683,c_32]) ).
tff(c_7657,plain,
! [Y_544,X_543,V_540,U_26,U_545,Y_28,Y_539,V_542] : is_a_theorem(or(not(or(not(U_26),or(not(U_545),X_543))),or(or(not(or(not(U_545),X_543)),Y_28),or(or(not(or(not(U_545),X_543)),Y_539),or(or(V_542,or(not(U_545),X_543)),or(not(or(not(U_545),X_543)),or(or(V_540,X_543),or(not(X_543),Y_544)))))))),
inference(resolution,[status(thm)],[c_7581,c_32]) ).
tff(c_83489,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_83349,c_7657]) ).
tff(c_83496,plain,
! [U_2743,X_2744,U_2745] :
( is_a_theorem(or(U_2743,or(X_2744,U_2745)))
| ~ is_a_theorem(or(U_2745,U_2743)) ),
inference(splitRight,[status(thm)],[c_83339]) ).
tff(c_83665,plain,
! [X_2744,U_2745,X_1] :
( is_a_theorem(or(X_2744,U_2745))
| ~ is_a_theorem(X_1)
| ~ is_a_theorem(or(U_2745,not(X_1))) ),
inference(resolution,[status(thm)],[c_83496,c_2]) ).
tff(c_88067,plain,
! [X_2903,X_2904,U_2905] :
( is_a_theorem(or(X_2903,or(not(not(X_2904)),U_2905)))
| ~ is_a_theorem(X_2904) ),
inference(resolution,[status(thm)],[c_88046,c_83665]) ).
tff(c_88232,plain,
! [X_2904,U_2905,X_1] :
( is_a_theorem(or(not(not(X_2904)),U_2905))
| ~ is_a_theorem(X_1)
| ~ is_a_theorem(X_2904) ),
inference(resolution,[status(thm)],[c_88067,c_2]) ).
tff(c_88254,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_88232]) ).
tff(c_87725,plain,
! [U_2892,U_2893] : is_a_theorem(or(or(not(U_2892),U_2893),U_2892)),
inference(splitRight,[status(thm)],[c_87573]) ).
tff(c_88408,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88254,c_87725]) ).
tff(c_88411,plain,
! [X_2909,U_2910] :
( is_a_theorem(or(not(not(X_2909)),U_2910))
| ~ is_a_theorem(X_2909) ),
inference(splitRight,[status(thm)],[c_88232]) ).
tff(c_88513,plain,
! [Z_1101,U_1100,X_2909] :
( is_a_theorem(or(Z_1101,or(U_1100,not(U_1100))))
| ~ is_a_theorem(X_2909) ),
inference(resolution,[status(thm)],[c_88411,c_23936]) ).
tff(c_88531,plain,
! [X_2909] : ~ is_a_theorem(X_2909),
inference(splitLeft,[status(thm)],[c_88513]) ).
tff(c_88686,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88531,c_87725]) ).
tff(c_88846,plain,
! [Z_2911,U_2912] : is_a_theorem(or(Z_2911,or(U_2912,not(U_2912)))),
inference(splitRight,[status(thm)],[c_88513]) ).
tff(c_88994,plain,
! [U_2912,X_1] :
( is_a_theorem(or(U_2912,not(U_2912)))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_88846,c_2]) ).
tff(c_88995,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_88994]) ).
tff(c_88687,plain,
! [Z_1101,U_1100] : is_a_theorem(or(Z_1101,or(U_1100,not(U_1100)))),
inference(splitRight,[status(thm)],[c_88513]) ).
tff(c_89150,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88995,c_88687]) ).
tff(c_89152,plain,
! [U_2913] : is_a_theorem(or(U_2913,not(U_2913))),
inference(splitRight,[status(thm)],[c_88994]) ).
tff(c_89251,plain,
! [X_1] :
( is_a_theorem(not(not(X_1)))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_89152,c_2]) ).
tff(c_89287,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(negUnitSimplification,[status(thm)],[c_79468,c_89251]) ).
tff(c_149,plain,
! [V_82,X_86,U_84,Z_83,U_85,V_81] : is_a_theorem(or(not(or(not(U_84),or(not(U_85),X_86))),or(or(V_82,or(not(U_85),X_86)),or(not(or(not(U_85),X_86)),or(Z_83,or(V_81,X_86)))))),
inference(resolution,[status(thm)],[c_4,c_43]) ).
tff(c_192,plain,
! [V_97,X_99,Z_94,U_96,V_95,U_98] : is_a_theorem(or(not(or(not(not(or(not(U_98),X_99))),U_96)),or(or(V_97,or(not(U_98),X_99)),or(or(Z_94,or(V_95,X_99)),U_96)))),
inference(resolution,[status(thm)],[c_149,c_12]) ).
tff(c_10587,plain,
! [X_662,Z_660,U_658,U_664,V_665,U_661,V_663,Y_659] : is_a_theorem(or(not(or(not(U_661),U_664)),or(or(not(U_664),Y_659),or(or(V_665,or(not(U_658),X_662)),or(or(Z_660,or(V_663,X_662)),U_664))))),
inference(resolution,[status(thm)],[c_192,c_32]) ).
tff(c_10663,plain,
! [X_662,Z_660,U_658,U_664,V_665,U_661,V_663,Y_659] : is_a_theorem(or(not(or(not(or(V_665,or(not(U_658),X_662))),U_661)),or(or(not(U_664),Y_659),or(or(or(Z_660,or(V_663,X_662)),U_664),U_661)))),
inference(resolution,[status(thm)],[c_10587,c_12]) ).
tff(c_89531,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_89287,c_10663]) ).
tff(c_89534,plain,
! [Z_2922,U_2923] : is_a_theorem(or(Z_2922,or(U_2923,not(U_2923)))),
inference(splitRight,[status(thm)],[c_77950]) ).
tff(c_89683,plain,
! [U_2923,X_1] :
( is_a_theorem(or(U_2923,not(U_2923)))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_89534,c_2]) ).
tff(c_89684,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_89683]) ).
tff(c_89532,plain,
! [Z_1101,U_1100] : is_a_theorem(or(Z_1101,or(U_1100,not(U_1100)))),
inference(splitRight,[status(thm)],[c_77950]) ).
tff(c_89839,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_89684,c_89532]) ).
tff(c_89841,plain,
! [U_2924] : is_a_theorem(or(U_2924,not(U_2924))),
inference(splitRight,[status(thm)],[c_89683]) ).
tff(c_93437,plain,
! [Z_3028,U_3029,U_3030] : is_a_theorem(or(Z_3028,or(or(U_3029,U_3030),not(not(not(U_3030)))))),
inference(resolution,[status(thm)],[c_89841,c_14031]) ).
tff(c_93563,plain,
! [U_3029,U_3030,X_1] :
( is_a_theorem(or(or(U_3029,U_3030),not(not(not(U_3030)))))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_93437,c_2]) ).
tff(c_94049,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_93563]) ).
tff(c_33073,plain,
! [Z_1455,U_1453,U_1456,U_1454] :
( is_a_theorem(or(Z_1455,or(or(U_1453,U_1456),U_1454)))
| ~ is_a_theorem(or(not(not(U_1453)),U_1454)) ),
inference(resolution,[status(thm)],[c_32941,c_2]) ).
tff(c_93308,plain,
! [Z_3022,U_3023,U_3024] : is_a_theorem(or(Z_3022,or(or(U_3023,U_3024),not(not(not(U_3023)))))),
inference(resolution,[status(thm)],[c_89841,c_33073]) ).
tff(c_93430,plain,
! [U_3023,U_3024,X_1] :
( is_a_theorem(or(or(U_3023,U_3024),not(not(not(U_3023)))))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_93308,c_2]) ).
tff(c_93565,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_93430]) ).
tff(c_89940,plain,
! [Z_817,U_818,U_815] : is_a_theorem(or(Z_817,or(or(U_818,U_815),not(not(not(U_815)))))),
inference(resolution,[status(thm)],[c_89841,c_14031]) ).
tff(c_93713,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_93565,c_89940]) ).
tff(c_93714,plain,
! [U_3023,U_3024] : is_a_theorem(or(or(U_3023,U_3024),not(not(not(U_3023))))),
inference(splitRight,[status(thm)],[c_93430]) ).
tff(c_94199,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94049,c_93714]) ).
tff(c_94200,plain,
! [U_3029,U_3030] : is_a_theorem(or(or(U_3029,U_3030),not(not(not(U_3030))))),
inference(splitRight,[status(thm)],[c_93563]) ).
tff(c_145154,plain,
! [U_4226,X_4227,X_4228,U_4229] :
( is_a_theorem(or(U_4226,or(X_4227,or(X_4228,U_4229))))
| ~ is_a_theorem(or(or(X_4228,U_4229),X_4228)) ),
inference(resolution,[status(thm)],[c_77587,c_28511]) ).
tff(c_148180,plain,
! [U_4271,X_4272,U_4273] : is_a_theorem(or(U_4271,or(X_4272,or(not(not(not(U_4273))),U_4273)))),
inference(resolution,[status(thm)],[c_94200,c_145154]) ).
tff(c_148440,plain,
! [X_4272,U_4273,X_1] :
( is_a_theorem(or(X_4272,or(not(not(not(U_4273))),U_4273)))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_148180,c_2]) ).
tff(c_148804,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_148440]) ).
tff(c_145635,plain,
! [U_4226,X_4227,U_3030] : is_a_theorem(or(U_4226,or(X_4227,or(not(not(not(U_3030))),U_3030)))),
inference(resolution,[status(thm)],[c_94200,c_145154]) ).
tff(c_149165,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_148804,c_145635]) ).
tff(c_149449,plain,
! [X_4277,U_4278] : is_a_theorem(or(X_4277,or(not(not(not(U_4278))),U_4278))),
inference(splitRight,[status(thm)],[c_148440]) ).
tff(c_149730,plain,
! [U_4278,X_1] :
( is_a_theorem(or(not(not(not(U_4278))),U_4278))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_149449,c_2]) ).
tff(c_150334,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_149730]) ).
tff(c_92632,plain,
! [Z_3000,U_3001,U_3002,X_3003] : is_a_theorem(or(Z_3000,or(or(U_3001,U_3002),or(X_3003,not(U_3002))))),
inference(resolution,[status(thm)],[c_78645,c_14031]) ).
tff(c_92779,plain,
! [U_3001,U_3002,X_3003,X_1] :
( is_a_theorem(or(or(U_3001,U_3002),or(X_3003,not(U_3002))))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_92632,c_2]) ).
tff(c_93146,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_92779]) ).
tff(c_93292,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_93146,c_7657]) ).
tff(c_93293,plain,
! [U_3001,U_3002,X_3003] : is_a_theorem(or(or(U_3001,U_3002),or(X_3003,not(U_3002)))),
inference(splitRight,[status(thm)],[c_92779]) ).
tff(c_147569,plain,
! [U_4260,X_4261,X_4262,U_4263] : is_a_theorem(or(U_4260,or(X_4261,or(or(X_4262,not(U_4263)),U_4263)))),
inference(resolution,[status(thm)],[c_93293,c_145154]) ).
tff(c_147829,plain,
! [X_4261,X_4262,U_4263,X_1] :
( is_a_theorem(or(X_4261,or(or(X_4262,not(U_4263)),U_4263)))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_147569,c_2]) ).
tff(c_148441,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_147829]) ).
tff(c_148802,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_148441,c_145635]) ).
tff(c_149167,plain,
! [X_4274,X_4275,U_4276] : is_a_theorem(or(X_4274,or(or(X_4275,not(U_4276)),U_4276))),
inference(splitRight,[status(thm)],[c_147829]) ).
tff(c_149448,plain,
! [X_4275,U_4276,X_1] :
( is_a_theorem(or(or(X_4275,not(U_4276)),U_4276))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_149167,c_2]) ).
tff(c_149731,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_149448]) ).
tff(c_149166,plain,
! [X_4272,U_4273] : is_a_theorem(or(X_4272,or(not(not(not(U_4273))),U_4273))),
inference(splitRight,[status(thm)],[c_148440]) ).
tff(c_150094,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_149731,c_149166]) ).
tff(c_150095,plain,
! [X_4275,U_4276] : is_a_theorem(or(or(X_4275,not(U_4276)),U_4276)),
inference(splitRight,[status(thm)],[c_149448]) ).
tff(c_150699,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_150334,c_150095]) ).
tff(c_150960,plain,
! [U_4293] : is_a_theorem(or(not(not(not(U_4293))),U_4293)),
inference(splitRight,[status(thm)],[c_149730]) ).
tff(c_14321,plain,
! [Z_829,U_830,U_831,U_832] :
( is_a_theorem(or(Z_829,or(or(U_830,U_831),U_832)))
| ~ is_a_theorem(or(not(not(U_831)),U_832)) ),
inference(resolution,[status(thm)],[c_13928,c_2]) ).
tff(c_26483,plain,
! [U_1228,U_1225,U_1227,Z_1226,U_1229] :
( is_a_theorem(or(Z_1226,or(or(U_1227,U_1229),or(U_1225,U_1228))))
| ~ is_a_theorem(or(not(not(U_1229)),U_1228)) ),
inference(resolution,[status(thm)],[c_2267,c_14321]) ).
tff(c_26645,plain,
! [U_1228,U_1225,U_1227,X_1,U_1229] :
( is_a_theorem(or(or(U_1227,U_1229),or(U_1225,U_1228)))
| ~ is_a_theorem(X_1)
| ~ is_a_theorem(or(not(not(U_1229)),U_1228)) ),
inference(resolution,[status(thm)],[c_26483,c_2]) ).
tff(c_26646,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_26645]) ).
tff(c_7658,plain,
! [Y_544,X_543,V_540,U_545,Y_539,V_542,U_541] : is_a_theorem(or(not(or(not(or(V_542,or(not(U_545),X_543))),U_541)),or(or(not(or(not(U_545),X_543)),Y_539),or(or(not(or(not(U_545),X_543)),or(or(V_540,X_543),or(not(X_543),Y_544))),U_541)))),
inference(resolution,[status(thm)],[c_7581,c_12]) ).
tff(c_26774,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26646,c_7658]) ).
tff(c_26775,plain,
! [U_1227,U_1229,U_1225,U_1228] :
( is_a_theorem(or(or(U_1227,U_1229),or(U_1225,U_1228)))
| ~ is_a_theorem(or(not(not(U_1229)),U_1228)) ),
inference(splitRight,[status(thm)],[c_26645]) ).
tff(c_151200,plain,
! [U_4295,U_4296,U_4297] : is_a_theorem(or(or(U_4295,not(U_4296)),or(U_4297,U_4296))),
inference(resolution,[status(thm)],[c_150960,c_26775]) ).
tff(c_77692,plain,
! [U_1307,X_1308,X_2578,U_2579] :
( is_a_theorem(or(U_1307,or(X_1308,or(X_2578,U_2579))))
| ~ is_a_theorem(or(or(X_2578,U_2579),X_2578)) ),
inference(resolution,[status(thm)],[c_77587,c_28511]) ).
tff(c_151845,plain,
! [U_4316,X_4317,U_4318,U_4319] : is_a_theorem(or(U_4316,or(X_4317,or(or(U_4318,U_4319),not(U_4319))))),
inference(resolution,[status(thm)],[c_151200,c_77692]) ).
tff(c_152101,plain,
! [X_4317,U_4318,U_4319,X_1] :
( is_a_theorem(or(X_4317,or(or(U_4318,U_4319),not(U_4319))))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_151845,c_2]) ).
tff(c_152102,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_152101]) ).
tff(c_151234,plain,
! [U_1307,X_1308,U_4297,U_4296] : is_a_theorem(or(U_1307,or(X_1308,or(or(U_4297,U_4296),not(U_4296))))),
inference(resolution,[status(thm)],[c_151200,c_77692]) ).
tff(c_152474,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_152102,c_151234]) ).
tff(c_152647,plain,
! [X_4328,U_4329,U_4330] : is_a_theorem(or(X_4328,or(or(U_4329,U_4330),not(U_4330)))),
inference(splitRight,[status(thm)],[c_152101]) ).
tff(c_152900,plain,
! [U_4329,U_4330,X_1] :
( is_a_theorem(or(or(U_4329,U_4330),not(U_4330)))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_152647,c_2]) ).
tff(c_152901,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_152900]) ).
tff(c_152475,plain,
! [X_4317,U_4318,U_4319] : is_a_theorem(or(X_4317,or(or(U_4318,U_4319),not(U_4319)))),
inference(splitRight,[status(thm)],[c_152101]) ).
tff(c_153275,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_152901,c_152475]) ).
tff(c_153653,plain,
! [U_4331,U_4332] : is_a_theorem(or(or(U_4331,U_4332),not(U_4332))),
inference(splitRight,[status(thm)],[c_152900]) ).
tff(c_153726,plain,
! [U_4333,X_4334,U_4335] : is_a_theorem(or(U_4333,or(X_4334,or(not(U_4335),U_4335)))),
inference(resolution,[status(thm)],[c_153653,c_77692]) ).
tff(c_153978,plain,
! [X_4334,U_4335,X_1] :
( is_a_theorem(or(X_4334,or(not(U_4335),U_4335)))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_153726,c_2]) ).
tff(c_153979,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_153978]) ).
tff(c_153703,plain,
! [U_1307,X_1308,U_4332] : is_a_theorem(or(U_1307,or(X_1308,or(not(U_4332),U_4332)))),
inference(resolution,[status(thm)],[c_153653,c_77692]) ).
tff(c_154355,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_153979,c_153703]) ).
tff(c_154358,plain,
! [X_4336,U_4337] : is_a_theorem(or(X_4336,or(not(U_4337),U_4337))),
inference(splitRight,[status(thm)],[c_153978]) ).
tff(c_154635,plain,
! [U_4337,X_1] :
( is_a_theorem(or(not(U_4337),U_4337))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_154358,c_2]) ).
tff(c_154636,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_154635]) ).
tff(c_154356,plain,
! [X_4334,U_4335] : is_a_theorem(or(X_4334,or(not(U_4335),U_4335))),
inference(splitRight,[status(thm)],[c_153978]) ).
tff(c_155013,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_154636,c_154356]) ).
tff(c_155014,plain,
! [U_4337] : is_a_theorem(or(not(U_4337),U_4337)),
inference(splitRight,[status(thm)],[c_154635]) ).
tff(c_2340,plain,
! [U_269,U_270,U_268] :
( is_a_theorem(or(U_269,U_270))
| ~ is_a_theorem(U_268)
| ~ is_a_theorem(or(not(U_268),U_270)) ),
inference(resolution,[status(thm)],[c_2268,c_2]) ).
tff(c_78766,plain,
! [U_269,X_2596,U_2595] :
( is_a_theorem(or(U_269,or(X_2596,U_2595)))
| ~ is_a_theorem(U_2595) ),
inference(resolution,[status(thm)],[c_78645,c_2340]) ).
tff(c_97376,plain,
! [U_3149,U_3150,U_3151] :
( is_a_theorem(or(U_3149,or(U_3150,not(not(U_3151)))))
| ~ is_a_theorem(or(U_3151,U_3150)) ),
inference(resolution,[status(thm)],[c_89841,c_27730]) ).
tff(c_97513,plain,
! [U_3150,U_3151,X_1] :
( is_a_theorem(or(U_3150,not(not(U_3151))))
| ~ is_a_theorem(X_1)
| ~ is_a_theorem(or(U_3151,U_3150)) ),
inference(resolution,[status(thm)],[c_97376,c_2]) ).
tff(c_97595,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_97513]) ).
tff(c_23,plain,
! [Z_21,Y_22,V_20,U_23,X_24] : is_a_theorem(or(not(or(not(or(V_20,X_24)),Z_21)),or(not(or(not(U_23),X_24)),or(or(not(X_24),Y_22),Z_21)))),
inference(resolution,[status(thm)],[c_17,c_12]) ).
tff(c_85,plain,
! [U_51,Y_53,Y_55,Z_50,U_54,X_52] : is_a_theorem(or(not(or(not(U_54),Z_50)),or(or(not(Z_50),Y_53),or(not(or(not(U_51),X_52)),or(or(not(X_52),Y_55),Z_50))))),
inference(resolution,[status(thm)],[c_23,c_33]) ).
tff(c_27294,plain,
! [U_1259,Y_1257,Y_1262,Z_1261,Z_1260,U_1263,X_1258] : is_a_theorem(or(not(or(not(U_1263),or(not(or(not(U_1259),X_1258)),or(or(not(X_1258),Y_1262),Z_1261)))),or(Z_1260,or(or(not(Z_1261),Y_1257),or(not(or(not(U_1259),X_1258)),or(or(not(X_1258),Y_1262),Z_1261)))))),
inference(resolution,[status(thm)],[c_85,c_67]) ).
tff(c_27415,plain,
! [U_1259,Y_1257,Y_1262,Z_1261,Z_1260,U_1263,X_1258] : is_a_theorem(or(not(or(not(or(not(Z_1261),Y_1257)),U_1263)),or(Z_1260,or(or(not(or(not(U_1259),X_1258)),or(or(not(X_1258),Y_1262),Z_1261)),U_1263)))),
inference(resolution,[status(thm)],[c_27294,c_12]) ).
tff(c_97759,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_97595,c_27415]) ).
tff(c_98124,plain,
! [U_3166,U_3167] :
( is_a_theorem(or(U_3166,not(not(U_3167))))
| ~ is_a_theorem(or(U_3167,U_3166)) ),
inference(splitRight,[status(thm)],[c_97513]) ).
tff(c_94452,plain,
! [U_3053,U_3054,X_3055,U_3056] :
( is_a_theorem(or(U_3053,or(U_3054,or(X_3055,U_3056))))
| ~ is_a_theorem(or(X_3055,U_3054)) ),
inference(resolution,[status(thm)],[c_77587,c_27730]) ).
tff(c_94605,plain,
! [U_3054,X_3055,U_3056,X_1] :
( is_a_theorem(or(U_3054,or(X_3055,U_3056)))
| ~ is_a_theorem(X_1)
| ~ is_a_theorem(or(X_3055,U_3054)) ),
inference(resolution,[status(thm)],[c_94452,c_2]) ).
tff(c_94614,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_94605]) ).
tff(c_6384,plain,
! [V_481,Z_477,V_478,U_482,U_480,Y_479,X_483] : is_a_theorem(or(not(or(not(U_480),or(not(U_482),X_483))),or(or(not(or(not(U_482),X_483)),Y_479),or(or(V_481,or(not(U_482),X_483)),or(not(or(not(U_482),X_483)),or(Z_477,or(V_478,X_483))))))),
inference(resolution,[status(thm)],[c_149,c_32]) ).
tff(c_6453,plain,
! [V_481,U_42,Z_477,V_478,U_482,Y_479,X_483,Z_41] : is_a_theorem(or(not(or(not(U_42),or(or(V_481,or(not(U_482),X_483)),or(not(or(not(U_482),X_483)),or(Z_477,or(V_478,X_483)))))),or(Z_41,or(or(not(or(not(U_482),X_483)),Y_479),or(or(V_481,or(not(U_482),X_483)),or(not(or(not(U_482),X_483)),or(Z_477,or(V_478,X_483)))))))),
inference(resolution,[status(thm)],[c_6384,c_67]) ).
tff(c_94767,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94614,c_6453]) ).
tff(c_94769,plain,
! [U_3057,X_3058,U_3059] :
( is_a_theorem(or(U_3057,or(X_3058,U_3059)))
| ~ is_a_theorem(or(X_3058,U_3057)) ),
inference(splitRight,[status(thm)],[c_94605]) ).
tff(c_94930,plain,
! [X_3058,U_3059,X_1] :
( is_a_theorem(or(X_3058,U_3059))
| ~ is_a_theorem(X_1)
| ~ is_a_theorem(or(X_3058,not(X_1))) ),
inference(resolution,[status(thm)],[c_94769,c_2]) ).
tff(c_98633,plain,
! [U_3171,U_3172,U_3173] :
( is_a_theorem(or(U_3171,U_3172))
| ~ is_a_theorem(not(U_3173))
| ~ is_a_theorem(or(U_3173,U_3171)) ),
inference(resolution,[status(thm)],[c_98124,c_94930]) ).
tff(c_98921,plain,
! [X_2596,U_2595,U_3172,U_269] :
( is_a_theorem(or(or(X_2596,U_2595),U_3172))
| ~ is_a_theorem(not(U_269))
| ~ is_a_theorem(U_2595) ),
inference(resolution,[status(thm)],[c_78766,c_98633]) ).
tff(c_100144,plain,
! [U_269] : ~ is_a_theorem(not(U_269)),
inference(splitLeft,[status(thm)],[c_98921]) ).
tff(c_98918,plain,
! [U_1100,U_3172,Z_1101] :
( is_a_theorem(or(or(U_1100,not(U_1100)),U_3172))
| ~ is_a_theorem(not(Z_1101)) ),
inference(resolution,[status(thm)],[c_89532,c_98633]) ).
tff(c_98988,plain,
! [Z_1101] : ~ is_a_theorem(not(Z_1101)),
inference(splitLeft,[status(thm)],[c_98918]) ).
tff(c_89957,plain,
! [X_1] :
( is_a_theorem(not(not(X_1)))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_89841,c_2]) ).
tff(c_98989,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(negUnitSimplification,[status(thm)],[c_98988,c_89957]) ).
tff(c_99146,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98989,c_27415]) ).
tff(c_99147,plain,
! [U_1100,U_3172] : is_a_theorem(or(or(U_1100,not(U_1100)),U_3172)),
inference(splitRight,[status(thm)],[c_98918]) ).
tff(c_99166,plain,
! [U_3177,X_3178] :
( is_a_theorem(not(not(U_3177)))
| ~ is_a_theorem(X_3178)
| ~ is_a_theorem(or(U_3177,not(X_3178))) ),
inference(resolution,[status(thm)],[c_98124,c_2]) ).
tff(c_99202,plain,
! [U_1100,X_3178] :
( is_a_theorem(not(not(or(U_1100,not(U_1100)))))
| ~ is_a_theorem(X_3178) ),
inference(resolution,[status(thm)],[c_99147,c_99166]) ).
tff(c_99213,plain,
! [X_3178] : ~ is_a_theorem(X_3178),
inference(splitLeft,[status(thm)],[c_99202]) ).
tff(c_99383,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_99213,c_99147]) ).
tff(c_99384,plain,
! [U_1100] : is_a_theorem(not(not(or(U_1100,not(U_1100))))),
inference(splitRight,[status(thm)],[c_99202]) ).
tff(c_100151,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100144,c_99384]) ).
tff(c_100152,plain,
! [X_2596,U_2595,U_3172] :
( is_a_theorem(or(or(X_2596,U_2595),U_3172))
| ~ is_a_theorem(U_2595) ),
inference(splitRight,[status(thm)],[c_98921]) ).
tff(c_97760,plain,
! [U_3150,U_3151] :
( is_a_theorem(or(U_3150,not(not(U_3151))))
| ~ is_a_theorem(or(U_3151,U_3150)) ),
inference(splitRight,[status(thm)],[c_97513]) ).
tff(c_124930,plain,
! [U_3831,U_3832,U_3833] :
( is_a_theorem(or(not(not(U_3831)),U_3832))
| ~ is_a_theorem(not(U_3833))
| ~ is_a_theorem(or(U_3831,U_3833)) ),
inference(resolution,[status(thm)],[c_97760,c_98633]) ).
tff(c_125338,plain,
! [X_2596,U_2595,U_3832,U_3172] :
( is_a_theorem(or(not(not(or(X_2596,U_2595))),U_3832))
| ~ is_a_theorem(not(U_3172))
| ~ is_a_theorem(U_2595) ),
inference(resolution,[status(thm)],[c_100152,c_124930]) ).
tff(c_131446,plain,
! [U_3172] : ~ is_a_theorem(not(U_3172)),
inference(splitLeft,[status(thm)],[c_125338]) ).
tff(c_113446,plain,
! [U_3625,U_3626,U_3627] :
( is_a_theorem(or(U_3625,not(not(U_3626))))
| ~ is_a_theorem(U_3627)
| ~ is_a_theorem(or(U_3626,not(U_3627))) ),
inference(resolution,[status(thm)],[c_98124,c_2340]) ).
tff(c_113500,plain,
! [U_3625,U_1100,U_3627] :
( is_a_theorem(or(U_3625,not(not(or(U_1100,not(U_1100))))))
| ~ is_a_theorem(U_3627) ),
inference(resolution,[status(thm)],[c_99147,c_113446]) ).
tff(c_113510,plain,
! [U_3627] : ~ is_a_theorem(U_3627),
inference(splitLeft,[status(thm)],[c_113500]) ).
tff(c_5465,plain,
! [V_432,U_434,X_437,Y_433,Y_435,U_436] : is_a_theorem(or(not(or(not(U_434),or(not(X_437),Y_435))),or(or(not(or(not(X_437),Y_435)),Y_433),or(not(or(not(U_436),X_437)),or(or(V_432,X_437),or(not(X_437),Y_435)))))),
inference(resolution,[status(thm)],[c_16,c_33]) ).
tff(c_90982,plain,
! [Z_2946,U_2949,V_2944,U_2950,X_2947,Y_2945,Y_2948] : is_a_theorem(or(not(or(not(U_2950),or(not(or(not(U_2949),X_2947)),or(or(V_2944,X_2947),or(not(X_2947),Y_2945))))),or(Z_2946,or(or(not(or(not(X_2947),Y_2945)),Y_2948),or(not(or(not(U_2949),X_2947)),or(or(V_2944,X_2947),or(not(X_2947),Y_2945))))))),
inference(resolution,[status(thm)],[c_5465,c_67]) ).
tff(c_91081,plain,
! [Z_2946,U_2949,V_2944,U_2950,X_2947,Y_2945,Y_2948] : is_a_theorem(or(not(or(not(or(not(or(not(X_2947),Y_2945)),Y_2948)),U_2950)),or(Z_2946,or(or(not(or(not(U_2949),X_2947)),or(or(V_2944,X_2947),or(not(X_2947),Y_2945))),U_2950)))),
inference(resolution,[status(thm)],[c_90982,c_12]) ).
tff(c_113880,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_113510,c_91081]) ).
tff(c_113882,plain,
! [U_3635,U_3636] : is_a_theorem(or(U_3635,not(not(or(U_3636,not(U_3636)))))),
inference(splitRight,[status(thm)],[c_113500]) ).
tff(c_98231,plain,
! [U_3166,U_3059,U_3167] :
( is_a_theorem(or(U_3166,U_3059))
| ~ is_a_theorem(not(U_3167))
| ~ is_a_theorem(or(U_3167,U_3166)) ),
inference(resolution,[status(thm)],[c_98124,c_94930]) ).
tff(c_114044,plain,
! [U_3636,U_3059,U_3635] :
( is_a_theorem(or(not(not(or(U_3636,not(U_3636)))),U_3059))
| ~ is_a_theorem(not(U_3635)) ),
inference(resolution,[status(thm)],[c_113882,c_98231]) ).
tff(c_117311,plain,
! [U_3635] : ~ is_a_theorem(not(U_3635)),
inference(splitLeft,[status(thm)],[c_114044]) ).
tff(c_107730,plain,
! [U_3496,U_3497,U_3498,U_3499] :
( is_a_theorem(or(U_3496,or(U_3497,U_3498)))
| ~ is_a_theorem(or(U_3499,U_3497))
| ~ is_a_theorem(not(U_3499)) ),
inference(resolution,[status(thm)],[c_77734,c_27730]) ).
tff(c_108078,plain,
! [U_3496,U_1100,U_3498,Z_1101] :
( is_a_theorem(or(U_3496,or(or(U_1100,not(U_1100)),U_3498)))
| ~ is_a_theorem(not(Z_1101)) ),
inference(resolution,[status(thm)],[c_89532,c_107730]) ).
tff(c_108335,plain,
! [Z_1101] : ~ is_a_theorem(not(Z_1101)),
inference(splitLeft,[status(thm)],[c_108078]) ).
tff(c_89656,plain,
! [Z_1050,X_1051,U_2923] : is_a_theorem(or(Z_1050,or(X_1051,or(U_2923,not(U_2923))))),
inference(resolution,[status(thm)],[c_89534,c_22193]) ).
tff(c_98915,plain,
! [X_1051,U_2923,U_3172,Z_1050] :
( is_a_theorem(or(or(X_1051,or(U_2923,not(U_2923))),U_3172))
| ~ is_a_theorem(not(Z_1050)) ),
inference(resolution,[status(thm)],[c_89656,c_98633]) ).
tff(c_103949,plain,
! [Z_1050] : ~ is_a_theorem(not(Z_1050)),
inference(splitLeft,[status(thm)],[c_98915]) ).
tff(c_98924,plain,
! [U_2579,X_2578,U_3172,Z_814] :
( is_a_theorem(or(or(not(U_2579),or(X_2578,U_2579)),U_3172))
| ~ is_a_theorem(not(Z_814)) ),
inference(resolution,[status(thm)],[c_77704,c_98633]) ).
tff(c_103196,plain,
! [Z_814] : ~ is_a_theorem(not(Z_814)),
inference(splitLeft,[status(thm)],[c_98924]) ).
tff(c_98929,plain,
! [X_1495,U_1496,U_3172,Z_1452] :
( is_a_theorem(or(or(not(X_1495),or(X_1495,U_1496)),U_3172))
| ~ is_a_theorem(not(Z_1452)) ),
inference(resolution,[status(thm)],[c_77221,c_98633]) ).
tff(c_102039,plain,
! [Z_1452] : ~ is_a_theorem(not(Z_1452)),
inference(splitLeft,[status(thm)],[c_98929]) ).
tff(c_102049,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_102039,c_99384]) ).
tff(c_102051,plain,
! [X_3283,U_3284,U_3285] : is_a_theorem(or(or(not(X_3283),or(X_3283,U_3284)),U_3285)),
inference(splitRight,[status(thm)],[c_98929]) ).
tff(c_98259,plain,
! [U_3167,X_1] :
( is_a_theorem(not(not(U_3167)))
| ~ is_a_theorem(X_1)
| ~ is_a_theorem(or(U_3167,not(X_1))) ),
inference(resolution,[status(thm)],[c_98124,c_2]) ).
tff(c_102072,plain,
! [X_3283,U_3284,X_1] :
( is_a_theorem(not(not(or(not(X_3283),or(X_3283,U_3284)))))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_102051,c_98259]) ).
tff(c_102482,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_102072]) ).
tff(c_102050,plain,
! [X_1495,U_1496,U_3172] : is_a_theorem(or(or(not(X_1495),or(X_1495,U_1496)),U_3172)),
inference(splitRight,[status(thm)],[c_98929]) ).
tff(c_102675,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_102482,c_102050]) ).
tff(c_102676,plain,
! [X_3283,U_3284] : is_a_theorem(not(not(or(not(X_3283),or(X_3283,U_3284))))),
inference(splitRight,[status(thm)],[c_102072]) ).
tff(c_103207,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_103196,c_102676]) ).
tff(c_103209,plain,
! [U_3330,X_3331,U_3332] : is_a_theorem(or(or(not(U_3330),or(X_3331,U_3330)),U_3332)),
inference(splitRight,[status(thm)],[c_98924]) ).
tff(c_103230,plain,
! [U_3330,X_3331,X_1] :
( is_a_theorem(not(not(or(not(U_3330),or(X_3331,U_3330)))))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_103209,c_98259]) ).
tff(c_103238,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_103230]) ).
tff(c_28252,plain,
! [X_1303,V_1299,U_1302,V_1300,Z_1298,Z_1301,U_1304] : is_a_theorem(or(not(or(not(U_1304),or(not(or(not(U_1302),X_1303)),or(Z_1298,or(V_1299,X_1303))))),or(Z_1301,or(or(V_1300,or(not(U_1302),X_1303)),or(not(or(not(U_1302),X_1303)),or(Z_1298,or(V_1299,X_1303))))))),
inference(resolution,[status(thm)],[c_149,c_67]) ).
tff(c_28376,plain,
! [X_1303,V_1299,U_1302,V_1300,Z_1298,Z_1301,U_1304] : is_a_theorem(or(not(or(not(or(V_1300,or(not(U_1302),X_1303))),U_1304)),or(Z_1301,or(or(not(or(not(U_1302),X_1303)),or(Z_1298,or(V_1299,X_1303))),U_1304)))),
inference(resolution,[status(thm)],[c_28252,c_12]) ).
tff(c_103552,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_103238,c_28376]) ).
tff(c_103553,plain,
! [U_3330,X_3331] : is_a_theorem(not(not(or(not(U_3330),or(X_3331,U_3330))))),
inference(splitRight,[status(thm)],[c_103230]) ).
tff(c_103961,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_103949,c_103553]) ).
tff(c_104075,plain,
! [X_3366,U_3367,U_3368] : is_a_theorem(or(or(X_3366,or(U_3367,not(U_3367))),U_3368)),
inference(splitRight,[status(thm)],[c_98915]) ).
tff(c_104093,plain,
! [X_3366,U_3367,X_1] :
( is_a_theorem(not(not(or(X_3366,or(U_3367,not(U_3367))))))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_104075,c_98259]) ).
tff(c_104100,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_104093]) ).
tff(c_103962,plain,
! [X_1051,U_2923,U_3172] : is_a_theorem(or(or(X_1051,or(U_2923,not(U_2923))),U_3172)),
inference(splitRight,[status(thm)],[c_98915]) ).
tff(c_104307,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104100,c_103962]) ).
tff(c_104308,plain,
! [X_3366,U_3367] : is_a_theorem(not(not(or(X_3366,or(U_3367,not(U_3367)))))),
inference(splitRight,[status(thm)],[c_104093]) ).
tff(c_108354,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_108335,c_104308]) ).
tff(c_108356,plain,
! [U_3508,U_3509,U_3510] : is_a_theorem(or(U_3508,or(or(U_3509,not(U_3509)),U_3510))),
inference(splitRight,[status(thm)],[c_108078]) ).
tff(c_108511,plain,
! [U_3509,U_3510,U_3059,U_3508] :
( is_a_theorem(or(or(or(U_3509,not(U_3509)),U_3510),U_3059))
| ~ is_a_theorem(not(U_3508)) ),
inference(resolution,[status(thm)],[c_108356,c_98231]) ).
tff(c_108751,plain,
! [U_3508] : ~ is_a_theorem(not(U_3508)),
inference(splitLeft,[status(thm)],[c_108511]) ).
tff(c_108862,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_108751,c_104308]) ).
tff(c_108864,plain,
! [U_3521,U_3522,U_3523] : is_a_theorem(or(or(or(U_3521,not(U_3521)),U_3522),U_3523)),
inference(splitRight,[status(thm)],[c_108511]) ).
tff(c_108885,plain,
! [U_3521,U_3522,X_1] :
( is_a_theorem(not(not(or(or(U_3521,not(U_3521)),U_3522))))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_108864,c_98259]) ).
tff(c_108892,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_108885]) ).
tff(c_108863,plain,
! [U_3509,U_3510,U_3059] : is_a_theorem(or(or(or(U_3509,not(U_3509)),U_3510),U_3059)),
inference(splitRight,[status(thm)],[c_108511]) ).
tff(c_109346,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_108892,c_108863]) ).
tff(c_109347,plain,
! [U_3521,U_3522] : is_a_theorem(not(not(or(or(U_3521,not(U_3521)),U_3522)))),
inference(splitRight,[status(thm)],[c_108885]) ).
tff(c_117332,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_117311,c_109347]) ).
tff(c_117334,plain,
! [U_3703,U_3704] : is_a_theorem(or(not(not(or(U_3703,not(U_3703)))),U_3704)),
inference(splitRight,[status(thm)],[c_114044]) ).
tff(c_117449,plain,
! [U_3703,X_1] :
( is_a_theorem(not(not(not(not(or(U_3703,not(U_3703)))))))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_117334,c_98259]) ).
tff(c_117490,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_117449]) ).
tff(c_117879,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_117490,c_91081]) ).
tff(c_117880,plain,
! [U_3703] : is_a_theorem(not(not(not(not(or(U_3703,not(U_3703))))))),
inference(splitRight,[status(thm)],[c_117449]) ).
tff(c_131475,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_131446,c_117880]) ).
tff(c_131477,plain,
! [X_3938,U_3939,U_3940] :
( is_a_theorem(or(not(not(or(X_3938,U_3939))),U_3940))
| ~ is_a_theorem(U_3939) ),
inference(splitRight,[status(thm)],[c_125338]) ).
tff(c_131617,plain,
! [X_3938,U_3939,X_1] :
( is_a_theorem(not(not(not(not(or(X_3938,U_3939))))))
| ~ is_a_theorem(X_1)
| ~ is_a_theorem(U_3939) ),
inference(resolution,[status(thm)],[c_131477,c_98259]) ).
tff(c_131650,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_131617]) ).
tff(c_2572,plain,
! [U_287,X_285,V_282,Y_286,U_283,V_284] : is_a_theorem(or(not(or(not(not(or(not(U_287),X_285))),U_283)),or(or(V_284,or(not(U_287),X_285)),or(or(or(V_282,X_285),or(not(X_285),Y_286)),U_283)))),
inference(resolution,[status(thm)],[c_683,c_12]) ).
tff(c_16511,plain,
! [U_895,Y_894,X_888,Y_890,U_889,V_893,U_892,V_891] : is_a_theorem(or(not(or(not(U_892),U_895)),or(or(not(U_895),Y_890),or(or(V_891,or(not(U_889),X_888)),or(or(or(V_893,X_888),or(not(X_888),Y_894)),U_895))))),
inference(resolution,[status(thm)],[c_2572,c_32]) ).
tff(c_16595,plain,
! [U_895,Y_894,X_888,Y_890,U_889,V_893,U_26,V_891,Y_28] : is_a_theorem(or(not(or(not(U_26),U_895)),or(or(not(U_895),Y_28),or(or(not(U_895),Y_890),or(or(V_891,or(not(U_889),X_888)),or(or(or(V_893,X_888),or(not(X_888),Y_894)),U_895)))))),
inference(resolution,[status(thm)],[c_16511,c_32]) ).
tff(c_132119,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_131650,c_16595]) ).
tff(c_132120,plain,
! [X_3938,U_3939] :
( is_a_theorem(not(not(not(not(or(X_3938,U_3939))))))
| ~ is_a_theorem(U_3939) ),
inference(splitRight,[status(thm)],[c_131617]) ).
tff(c_155270,plain,
! [U_4345] : is_a_theorem(or(not(U_4345),U_4345)),
inference(splitRight,[status(thm)],[c_154635]) ).
tff(c_156850,plain,
! [U_4378,U_4379,U_4380] :
( is_a_theorem(or(U_4378,or(U_4379,U_4380)))
| ~ is_a_theorem(or(U_4380,U_4379)) ),
inference(resolution,[status(thm)],[c_155270,c_27730]) ).
tff(c_157116,plain,
! [U_4379,U_4380,X_1] :
( is_a_theorem(or(U_4379,U_4380))
| ~ is_a_theorem(X_1)
| ~ is_a_theorem(or(U_4380,U_4379)) ),
inference(resolution,[status(thm)],[c_156850,c_2]) ).
tff(c_157782,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_157116]) ).
tff(c_99203,plain,
! [U_3150,U_3151] :
( is_a_theorem(not(not(U_3150)))
| ~ is_a_theorem(not(U_3151))
| ~ is_a_theorem(or(U_3151,U_3150)) ),
inference(resolution,[status(thm)],[c_97760,c_99166]) ).
tff(c_154580,plain,
! [U_4337,X_4336] :
( is_a_theorem(not(not(or(not(U_4337),U_4337))))
| ~ is_a_theorem(not(X_4336)) ),
inference(resolution,[status(thm)],[c_154358,c_99203]) ).
tff(c_156626,plain,
! [X_4336] : ~ is_a_theorem(not(X_4336)),
inference(splitLeft,[status(thm)],[c_154580]) ).
tff(c_156666,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_156626,c_117880]) ).
tff(c_156668,plain,
! [U_4366] : is_a_theorem(not(not(or(not(U_4366),U_4366)))),
inference(splitRight,[status(thm)],[c_154580]) ).
tff(c_93715,plain,
! [U_3031,U_3032] : is_a_theorem(or(or(U_3031,U_3032),not(not(not(U_3031))))),
inference(splitRight,[status(thm)],[c_93430]) ).
tff(c_27731,plain,
! [U_1275,U_1276,X_1277,U_1278] :
( is_a_theorem(or(U_1275,or(U_1276,X_1277)))
| ~ is_a_theorem(or(not(U_1278),X_1277))
| ~ is_a_theorem(or(U_1278,U_1276)) ),
inference(resolution,[status(thm)],[c_27605,c_2]) ).
tff(c_30118,plain,
! [Z_1366,U_1362,U_1364,U_1363,X_1365] :
( is_a_theorem(or(U_1363,or(U_1362,or(Z_1366,or(X_1365,U_1364)))))
| ~ is_a_theorem(or(or(X_1365,U_1364),U_1362)) ),
inference(resolution,[status(thm)],[c_23606,c_27731]) ).
tff(c_30321,plain,
! [Z_1366,U_1362,U_1364,X_1365,X_1] :
( is_a_theorem(or(U_1362,or(Z_1366,or(X_1365,U_1364))))
| ~ is_a_theorem(X_1)
| ~ is_a_theorem(or(or(X_1365,U_1364),U_1362)) ),
inference(resolution,[status(thm)],[c_30118,c_2]) ).
tff(c_30323,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_30321]) ).
tff(c_2430,plain,
! [U_271,V_7,Z_4,Y_6,U_3,X_5] :
( is_a_theorem(or(U_271,or(not(or(not(U_3),X_5)),or(Z_4,or(V_7,X_5)))))
| ~ is_a_theorem(or(not(or(not(X_5),Y_6)),or(Z_4,or(U_3,V_7)))) ),
inference(resolution,[status(thm)],[c_4,c_2345]) ).
tff(c_22161,plain,
! [U_271,X_1051,U_1049,Z_1050] : is_a_theorem(or(U_271,or(not(or(not(X_1051),not(U_1049))),or(Z_1050,or(U_1049,not(U_1049)))))),
inference(resolution,[status(thm)],[c_22084,c_2430]) ).
tff(c_30468,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30323,c_22161]) ).
tff(c_30470,plain,
! [U_1367,Z_1368,X_1369,U_1370] :
( is_a_theorem(or(U_1367,or(Z_1368,or(X_1369,U_1370))))
| ~ is_a_theorem(or(or(X_1369,U_1370),U_1367)) ),
inference(splitRight,[status(thm)],[c_30321]) ).
tff(c_30676,plain,
! [Z_1368,X_1369,U_1370,X_1] :
( is_a_theorem(or(Z_1368,or(X_1369,U_1370)))
| ~ is_a_theorem(X_1)
| ~ is_a_theorem(or(or(X_1369,U_1370),not(X_1))) ),
inference(resolution,[status(thm)],[c_30470,c_2]) ).
tff(c_93726,plain,
! [Z_3033,U_3034,U_3035] :
( is_a_theorem(or(Z_3033,or(U_3034,U_3035)))
| ~ is_a_theorem(not(not(U_3034))) ),
inference(resolution,[status(thm)],[c_93715,c_30676]) ).
tff(c_93887,plain,
! [U_3034,U_3035,X_1] :
( is_a_theorem(or(U_3034,U_3035))
| ~ is_a_theorem(X_1)
| ~ is_a_theorem(not(not(U_3034))) ),
inference(resolution,[status(thm)],[c_93726,c_2]) ).
tff(c_93897,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_93887]) ).
tff(c_94047,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_93897,c_93714]) ).
tff(c_94048,plain,
! [U_3034,U_3035] :
( is_a_theorem(or(U_3034,U_3035))
| ~ is_a_theorem(not(not(U_3034))) ),
inference(splitRight,[status(thm)],[c_93887]) ).
tff(c_156707,plain,
! [U_4366,U_3035] : is_a_theorem(or(or(not(U_4366),U_4366),U_3035)),
inference(resolution,[status(thm)],[c_156668,c_94048]) ).
tff(c_158172,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_157782,c_156707]) ).
tff(c_158175,plain,
! [U_4384,U_4385] :
( is_a_theorem(or(U_4384,U_4385))
| ~ is_a_theorem(or(U_4385,U_4384)) ),
inference(splitRight,[status(thm)],[c_157116]) ).
tff(c_158808,plain,
! [U_3151,U_3150] :
( is_a_theorem(or(not(not(U_3151)),U_3150))
| ~ is_a_theorem(or(U_3151,U_3150)) ),
inference(resolution,[status(thm)],[c_97760,c_158175]) ).
tff(c_161542,plain,
! [U_4441,U_4442] :
( is_a_theorem(or(not(not(U_4441)),U_4442))
| ~ is_a_theorem(or(U_4441,U_4442)) ),
inference(resolution,[status(thm)],[c_97760,c_158175]) ).
tff(c_161910,plain,
! [U_4450,U_4451] :
( is_a_theorem(U_4450)
| ~ is_a_theorem(not(U_4451))
| ~ is_a_theorem(or(U_4451,U_4450)) ),
inference(resolution,[status(thm)],[c_161542,c_2]) ).
tff(c_186808,plain,
! [U_4892,U_4893] :
( is_a_theorem(U_4892)
| ~ is_a_theorem(not(not(not(U_4893))))
| ~ is_a_theorem(or(U_4893,U_4892)) ),
inference(resolution,[status(thm)],[c_158808,c_161910]) ).
tff(c_191279,plain,
! [U_4908,X_4909,U_4910] :
( is_a_theorem(U_4908)
| ~ is_a_theorem(or(not(or(X_4909,U_4910)),U_4908))
| ~ is_a_theorem(U_4910) ),
inference(resolution,[status(thm)],[c_132120,c_186808]) ).
tff(c_193526,plain,
! [U_4920,X_4921,Z_4922,V_4923] :
( is_a_theorem(or(not(or(not(U_4920),X_4921)),or(Z_4922,or(V_4923,X_4921))))
| ~ is_a_theorem(or(Z_4922,or(U_4920,V_4923))) ),
inference(resolution,[status(thm)],[c_4,c_191279]) ).
tff(c_156763,plain,
! [U_4376,U_4377] : is_a_theorem(or(or(not(U_4376),U_4376),U_4377)),
inference(resolution,[status(thm)],[c_156668,c_94048]) ).
tff(c_98251,plain,
! [U_269,U_3167,U_268] :
( is_a_theorem(or(U_269,not(not(U_3167))))
| ~ is_a_theorem(U_268)
| ~ is_a_theorem(or(U_3167,not(U_268))) ),
inference(resolution,[status(thm)],[c_98124,c_2340]) ).
tff(c_156833,plain,
! [U_269,U_4376,U_268] :
( is_a_theorem(or(U_269,not(not(or(not(U_4376),U_4376)))))
| ~ is_a_theorem(U_268) ),
inference(resolution,[status(thm)],[c_156763,c_98251]) ).
tff(c_166994,plain,
! [U_268] : ~ is_a_theorem(U_268),
inference(splitLeft,[status(thm)],[c_156833]) ).
tff(c_82,plain,
! [Z_21,Z_47,Y_22,U_23,U_49] : is_a_theorem(or(not(or(not(U_49),or(or(not(Z_21),Y_22),Z_21))),or(Z_47,or(not(or(not(U_23),Z_21)),or(or(not(Z_21),Y_22),Z_21))))),
inference(resolution,[status(thm)],[c_23,c_68]) ).
tff(c_17368,plain,
! [Z_924,U_927,V_926,Y_928,X_929,U_925] :
( is_a_theorem(or(or(not(or(Z_924,or(U_925,V_926))),Y_928),or(not(or(not(U_925),X_929)),or(Z_924,or(V_926,X_929)))))
| ~ is_a_theorem(or(not(U_927),or(Z_924,or(U_925,V_926)))) ),
inference(resolution,[status(thm)],[c_4798,c_2]) ).
tff(c_17605,plain,
! [Z_21,Z_47,Y_22,Y_928,U_23,X_929] : is_a_theorem(or(or(not(or(Z_47,or(not(or(not(U_23),Z_21)),or(or(not(Z_21),Y_22),Z_21)))),Y_928),or(not(or(not(not(or(not(U_23),Z_21))),X_929)),or(Z_47,or(or(or(not(Z_21),Y_22),Z_21),X_929))))),
inference(resolution,[status(thm)],[c_82,c_17368]) ).
tff(c_167420,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_166994,c_17605]) ).
tff(c_167850,plain,
! [U_4555,U_4556] : is_a_theorem(or(U_4555,not(not(or(not(U_4556),U_4556))))),
inference(splitRight,[status(thm)],[c_156833]) ).
tff(c_158173,plain,
! [U_4379,U_4380] :
( is_a_theorem(or(U_4379,U_4380))
| ~ is_a_theorem(or(U_4380,U_4379)) ),
inference(splitRight,[status(thm)],[c_157116]) ).
tff(c_168115,plain,
! [U_4557,U_4558] : is_a_theorem(or(not(not(or(not(U_4557),U_4557))),U_4558)),
inference(resolution,[status(thm)],[c_167850,c_158173]) ).
tff(c_168277,plain,
! [U_4557,X_1] :
( is_a_theorem(not(not(not(not(or(not(U_4557),U_4557))))))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_168115,c_98259]) ).
tff(c_175365,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_168277]) ).
tff(c_11321,plain,
! [Z_687,U_688,Y_689,U_686,Z_685] : is_a_theorem(or(not(or(not(U_688),or(or(not(Z_685),Y_689),Z_685))),or(Z_687,or(not(or(not(U_686),Z_685)),or(or(not(Z_685),Y_689),Z_685))))),
inference(resolution,[status(thm)],[c_23,c_68]) ).
tff(c_96679,plain,
! [U_3124,U_3123,Y_3126,Z_3127,Z_3125] : is_a_theorem(or(not(or(not(not(or(not(U_3123),Z_3127))),U_3124)),or(Z_3125,or(or(or(not(Z_3127),Y_3126),Z_3127),U_3124)))),
inference(resolution,[status(thm)],[c_11321,c_12]) ).
tff(c_96759,plain,
! [U_3124,U_3123,Y_3126,Z_3127,Z_3125] :
( is_a_theorem(or(Z_3125,or(or(or(not(Z_3127),Y_3126),Z_3127),U_3124)))
| ~ is_a_theorem(or(not(not(or(not(U_3123),Z_3127))),U_3124)) ),
inference(resolution,[status(thm)],[c_96679,c_2]) ).
tff(c_168281,plain,
! [Z_3125,U_4557,Y_3126,U_4558] : is_a_theorem(or(Z_3125,or(or(or(not(U_4557),Y_3126),U_4557),U_4558))),
inference(resolution,[status(thm)],[c_168115,c_96759]) ).
tff(c_175835,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_175365,c_168281]) ).
tff(c_175836,plain,
! [U_4557] : is_a_theorem(not(not(not(not(or(not(U_4557),U_4557)))))),
inference(splitRight,[status(thm)],[c_168277]) ).
tff(c_186824,plain,
! [U_4892,U_4557] :
( is_a_theorem(U_4892)
| ~ is_a_theorem(or(not(or(not(U_4557),U_4557)),U_4892)) ),
inference(resolution,[status(thm)],[c_175836,c_186808]) ).
tff(c_225017,plain,
! [Z_5939,V_5940,X_5941] :
( is_a_theorem(or(Z_5939,or(V_5940,X_5941)))
| ~ is_a_theorem(or(Z_5939,or(X_5941,V_5940))) ),
inference(resolution,[status(thm)],[c_193526,c_186824]) ).
tff(c_226300,plain,
! [X_5941,V_5940] : is_a_theorem(or(not(or(X_5941,V_5940)),or(V_5940,X_5941))),
inference(resolution,[status(thm)],[c_155014,c_225017]) ).
tff(c_6,plain,
~ is_a_theorem(or(not(or(not(b),c)),or(not(or(a,b)),or(a,c)))),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_193762,plain,
~ is_a_theorem(or(not(or(a,b)),or(b,a))),
inference(resolution,[status(thm)],[c_193526,c_6]) ).
tff(c_226556,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_226300,c_193762]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL002-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 3 14:01:08 EDT 2023
% 0.13/0.34 % CPUTime :
% 61.09/44.90 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 61.15/44.94
% 61.15/44.94 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 61.36/45.03
% 61.36/45.03 Inference rules
% 61.36/45.03 ----------------------
% 61.36/45.03 #Ref : 0
% 61.36/45.03 #Sup : 50793
% 61.36/45.03 #Fact : 0
% 61.36/45.03 #Define : 0
% 61.36/45.03 #Split : 202
% 61.36/45.03 #Chain : 0
% 61.36/45.03 #Close : 0
% 61.36/45.03
% 61.36/45.03 Ordering : KBO
% 61.36/45.03
% 61.36/45.03 Simplification rules
% 61.36/45.03 ----------------------
% 61.36/45.03 #Subsume : 26351
% 61.36/45.03 #Demod : 7662
% 61.36/45.03 #Tautology : 7412
% 61.36/45.03 #SimpNegUnit : 32859
% 61.36/45.03 #BackRed : 15838
% 61.36/45.03
% 61.36/45.03 #Partial instantiations: 0
% 61.36/45.03 #Strategies tried : 1
% 61.36/45.03
% 61.36/45.03 Timing (in seconds)
% 61.36/45.03 ----------------------
% 61.36/45.03 Preprocessing : 0.39
% 61.36/45.03 Parsing : 0.21
% 61.36/45.03 CNF conversion : 0.02
% 61.36/45.03 Main loop : 43.45
% 61.36/45.03 Inferencing : 3.29
% 61.36/45.03 Reduction : 13.61
% 61.36/45.03 Demodulation : 11.30
% 61.36/45.03 BG Simplification : 0.26
% 61.36/45.03 Subsumption : 19.95
% 61.36/45.03 Abstraction : 0.47
% 61.36/45.03 MUC search : 0.00
% 61.36/45.03 Cooper : 0.00
% 61.36/45.03 Total : 43.98
% 61.36/45.03 Index Insertion : 0.00
% 61.36/45.03 Index Deletion : 0.00
% 61.36/45.03 Index Matching : 0.00
% 61.36/45.03 BG Taut test : 0.00
%------------------------------------------------------------------------------