TSTP Solution File: LCL003-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LCL003-1 : 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 : n032.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 10:47:09 EDT 2023
% Result : Unsatisfiable 55.45s 40.63s
% Output : CNFRefutation 55.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 73
% Number of leaves : 8
% Syntax : Number of formulae : 416 ( 275 unt; 5 typ; 0 def)
% Number of atoms : 578 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 394 ( 227 ~; 167 |; 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 1114 (;1114 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ is_a_theorem > or > #nlpp > not > 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(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(a,b)),or(b,a))),
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_7849,plain,
! [U_559,U_560,Z_561] : is_a_theorem(or(not(or(not(U_559),or(U_560,U_560))),or(Z_561,or(not(U_560),or(U_560,U_560))))),
inference(resolution,[status(thm)],[c_933,c_67]) ).
tff(c_7943,plain,
! [U_562,U_563,Z_564] : is_a_theorem(or(not(or(not(not(U_562)),U_563)),or(Z_564,or(or(U_562,U_562),U_563)))),
inference(resolution,[status(thm)],[c_7849,c_12]) ).
tff(c_8028,plain,
! [U_562,Z_564,U_563] : is_a_theorem(or(not(or(not(or(U_562,U_562)),not(U_562))),or(Z_564,or(U_563,not(U_562))))),
inference(resolution,[status(thm)],[c_7943,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_13552,plain,
! [U_803,U_804,U_805,Z_806] : is_a_theorem(or(not(or(not(U_803),or(U_804,U_805))),or(Z_806,or(not(U_805),or(U_804,U_805))))),
inference(resolution,[status(thm)],[c_1662,c_67]) ).
tff(c_14209,plain,
! [Z_831,U_832,U_833,U_834] :
( is_a_theorem(or(Z_831,or(not(U_832),or(U_833,U_832))))
| ~ is_a_theorem(or(not(U_834),or(U_833,U_832))) ),
inference(resolution,[status(thm)],[c_13552,c_2]) ).
tff(c_17276,plain,
! [Z_916,U_917,U_918,Z_919] : is_a_theorem(or(Z_916,or(not(or(U_917,not(U_918))),or(Z_919,or(U_917,not(U_918)))))),
inference(resolution,[status(thm)],[c_8028,c_14209]) ).
tff(c_17437,plain,
! [U_917,U_918,Z_919,X_1] :
( is_a_theorem(or(not(or(U_917,not(U_918))),or(Z_919,or(U_917,not(U_918)))))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_17276,c_2]) ).
tff(c_17720,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_17437]) ).
tff(c_13660,plain,
! [U_807,U_808,Z_809,U_810] : is_a_theorem(or(not(or(not(not(U_807)),U_808)),or(Z_809,or(or(U_810,U_807),U_808)))),
inference(resolution,[status(thm)],[c_13552,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_1827,plain,
! [U_242,U_241,U_240] :
( is_a_theorem(or(not(U_242),or(U_242,U_241)))
| ~ is_a_theorem(or(not(U_240),U_241)) ),
inference(resolution,[status(thm)],[c_1782,c_2]) ).
tff(c_13763,plain,
! [U_820,U_821,Z_819,U_818,U_817] : is_a_theorem(or(not(U_817),or(U_817,or(Z_819,or(or(U_818,U_821),U_820))))),
inference(resolution,[status(thm)],[c_13660,c_1827]) ).
tff(c_13872,plain,
! [U_820,U_821,Z_819,U_242,U_818,U_817] : is_a_theorem(or(not(U_242),or(U_242,or(U_817,or(Z_819,or(or(U_818,U_821),U_820)))))),
inference(resolution,[status(thm)],[c_13763,c_1827]) ).
tff(c_17856,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_17720,c_13872]) ).
tff(c_17858,plain,
! [U_932,U_933,Z_934] : is_a_theorem(or(not(or(U_932,not(U_933))),or(Z_934,or(U_932,not(U_933))))),
inference(splitRight,[status(thm)],[c_17437]) ).
tff(c_17966,plain,
! [X_935,Z_936,U_937] : is_a_theorem(or(not(or(not(not(X_935)),X_935)),or(Z_936,or(not(U_937),X_935)))),
inference(resolution,[status(thm)],[c_17858,c_12]) ).
tff(c_13657,plain,
! [Z_806,U_805,U_804,U_803] :
( is_a_theorem(or(Z_806,or(not(U_805),or(U_804,U_805))))
| ~ is_a_theorem(or(not(U_803),or(U_804,U_805))) ),
inference(resolution,[status(thm)],[c_13552,c_2]) ).
tff(c_19719,plain,
! [Z_1015,U_1016,X_1017,Z_1018] : is_a_theorem(or(Z_1015,or(not(or(not(U_1016),X_1017)),or(Z_1018,or(not(U_1016),X_1017))))),
inference(resolution,[status(thm)],[c_17966,c_13657]) ).
tff(c_19886,plain,
! [U_1016,X_1017,Z_1018,X_1] :
( is_a_theorem(or(not(or(not(U_1016),X_1017)),or(Z_1018,or(not(U_1016),X_1017))))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_19719,c_2]) ).
tff(c_20590,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_19886]) ).
tff(c_18064,plain,
! [U_937,X_935,Z_936] : is_a_theorem(or(not(or(not(not(U_937)),not(X_935))),or(Z_936,or(X_935,not(X_935))))),
inference(resolution,[status(thm)],[c_17966,c_12]) ).
tff(c_20743,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_20590,c_18064]) ).
tff(c_20745,plain,
! [U_1043,X_1044,Z_1045] : is_a_theorem(or(not(or(not(U_1043),X_1044)),or(Z_1045,or(not(U_1043),X_1044)))),
inference(splitRight,[status(thm)],[c_19886]) ).
tff(c_20847,plain,
! [U_1043,Z_1045,X_1044] : is_a_theorem(or(not(or(not(not(U_1043)),U_1043)),or(Z_1045,or(X_1044,U_1043)))),
inference(resolution,[status(thm)],[c_20745,c_12]) ).
tff(c_31308,plain,
! [U_1439,U_1440,U_1441,Z_1442] : is_a_theorem(or(not(or(not(U_1439),or(U_1440,U_1441))),or(Z_1442,or(not(U_1440),or(U_1440,U_1441))))),
inference(resolution,[status(thm)],[c_1782,c_67]) ).
tff(c_31447,plain,
! [Z_1443,U_1444,U_1445,U_1446] :
( is_a_theorem(or(Z_1443,or(not(U_1444),or(U_1444,U_1445))))
| ~ is_a_theorem(or(not(U_1446),or(U_1444,U_1445))) ),
inference(resolution,[status(thm)],[c_31308,c_2]) ).
tff(c_31798,plain,
! [Z_1447,Z_1448,X_1449,U_1450] : is_a_theorem(or(Z_1447,or(not(Z_1448),or(Z_1448,or(X_1449,U_1450))))),
inference(resolution,[status(thm)],[c_20847,c_31447]) ).
tff(c_32006,plain,
! [Z_1448,X_1449,U_1450,X_1] :
( is_a_theorem(or(not(Z_1448),or(Z_1448,or(X_1449,U_1450))))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_31798,c_2]) ).
tff(c_32007,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_32006]) ).
tff(c_31723,plain,
! [Z_1443,Z_1045,X_1044,U_1043] : is_a_theorem(or(Z_1443,or(not(Z_1045),or(Z_1045,or(X_1044,U_1043))))),
inference(resolution,[status(thm)],[c_20847,c_31447]) ).
tff(c_32161,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_32007,c_31723]) ).
tff(c_32165,plain,
! [Z_1451,X_1452,U_1453] : is_a_theorem(or(not(Z_1451),or(Z_1451,or(X_1452,U_1453)))),
inference(splitRight,[status(thm)],[c_32006]) ).
tff(c_32328,plain,
! [Z_1454,X_1455,U_1456] :
( is_a_theorem(or(Z_1454,or(X_1455,U_1456)))
| ~ is_a_theorem(Z_1454) ),
inference(resolution,[status(thm)],[c_32165,c_2]) ).
tff(c_31446,plain,
! [Z_1442,U_1440,U_1441,U_1439] :
( is_a_theorem(or(Z_1442,or(not(U_1440),or(U_1440,U_1441))))
| ~ is_a_theorem(or(not(U_1439),or(U_1440,U_1441))) ),
inference(resolution,[status(thm)],[c_31308,c_2]) ).
tff(c_32474,plain,
! [Z_1442,X_1455,U_1456,U_1439] :
( is_a_theorem(or(Z_1442,or(not(X_1455),or(X_1455,U_1456))))
| ~ is_a_theorem(not(U_1439)) ),
inference(resolution,[status(thm)],[c_32328,c_31446]) ).
tff(c_32929,plain,
! [U_1439] : ~ is_a_theorem(not(U_1439)),
inference(splitLeft,[status(thm)],[c_32474]) ).
tff(c_20851,plain,
! [U_1046,Z_1047,X_1048] : is_a_theorem(or(not(or(not(not(U_1046)),U_1046)),or(Z_1047,or(X_1048,U_1046)))),
inference(resolution,[status(thm)],[c_20745,c_12]) ).
tff(c_21806,plain,
! [Z_1076,X_1077,U_1078,Z_1079] : is_a_theorem(or(Z_1076,or(not(or(X_1077,U_1078)),or(Z_1079,or(X_1077,U_1078))))),
inference(resolution,[status(thm)],[c_20851,c_13657]) ).
tff(c_21971,plain,
! [X_1077,U_1078,Z_1079,X_1] :
( is_a_theorem(or(not(or(X_1077,U_1078)),or(Z_1079,or(X_1077,U_1078))))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_21806,c_2]) ).
tff(c_21972,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_21971]) ).
tff(c_20922,plain,
! [Z_806,X_1048,U_1046,Z_1047] : is_a_theorem(or(Z_806,or(not(or(X_1048,U_1046)),or(Z_1047,or(X_1048,U_1046))))),
inference(resolution,[status(thm)],[c_20851,c_13657]) ).
tff(c_22098,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_21972,c_20922]) ).
tff(c_22099,plain,
! [X_1077,U_1078,Z_1079] : is_a_theorem(or(not(or(X_1077,U_1078)),or(Z_1079,or(X_1077,U_1078)))),
inference(splitRight,[status(thm)],[c_21971]) ).
tff(c_35185,plain,
! [U_1555,U_1556,Z_1557,U_1558] : is_a_theorem(or(not(or(not(not(U_1555)),U_1556)),or(Z_1557,or(or(U_1555,U_1558),U_1556)))),
inference(resolution,[status(thm)],[c_31308,c_12]) ).
tff(c_37678,plain,
! [U_1651,U_1652,Z_1653,U_1654] : is_a_theorem(or(not(or(not(or(U_1651,U_1652)),not(U_1651))),or(Z_1653,or(U_1654,not(U_1651))))),
inference(resolution,[status(thm)],[c_35185,c_12]) ).
tff(c_66344,plain,
! [U_2409,U_2410,Z_2411,Z_2412] : is_a_theorem(or(not(or(not(U_2409),or(U_2410,not(U_2410)))),or(Z_2411,or(Z_2412,or(U_2410,not(U_2410)))))),
inference(resolution,[status(thm)],[c_37678,c_67]) ).
tff(c_66526,plain,
! [Z_2413,U_2414,Z_2415,U_2416] : is_a_theorem(or(not(or(not(Z_2413),U_2414)),or(Z_2415,or(or(U_2416,not(U_2416)),U_2414)))),
inference(resolution,[status(thm)],[c_66344,c_12]) ).
tff(c_67684,plain,
! [U_2434,Z_2435,Z_2436,U_2437] : is_a_theorem(or(not(or(not(or(U_2434,not(U_2434))),Z_2435)),or(Z_2436,or(U_2437,Z_2435)))),
inference(resolution,[status(thm)],[c_66526,c_12]) ).
tff(c_67867,plain,
! [Z_2438,U_2439,Z_2440,U_2441] :
( is_a_theorem(or(Z_2438,or(U_2439,Z_2440)))
| ~ is_a_theorem(or(not(or(U_2441,not(U_2441))),Z_2440)) ),
inference(resolution,[status(thm)],[c_67684,c_2]) ).
tff(c_68311,plain,
! [Z_2442,U_2443,Z_2444,X_2445] : is_a_theorem(or(Z_2442,or(U_2443,or(Z_2444,or(X_2445,not(X_2445)))))),
inference(resolution,[status(thm)],[c_22099,c_67867]) ).
tff(c_68590,plain,
! [U_2443,Z_2444,X_2445,X_1] :
( is_a_theorem(or(U_2443,or(Z_2444,or(X_2445,not(X_2445)))))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_68311,c_2]) ).
tff(c_68591,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_68590]) ).
tff(c_68290,plain,
! [Z_2438,U_2439,Z_1079,X_1077] : is_a_theorem(or(Z_2438,or(U_2439,or(Z_1079,or(X_1077,not(X_1077)))))),
inference(resolution,[status(thm)],[c_22099,c_67867]) ).
tff(c_68816,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68591,c_68290]) ).
tff(c_68821,plain,
! [U_2446,Z_2447,X_2448] : is_a_theorem(or(U_2446,or(Z_2447,or(X_2448,not(X_2448))))),
inference(splitRight,[status(thm)],[c_68590]) ).
tff(c_69130,plain,
! [Z_2447,X_2448,X_1] :
( is_a_theorem(or(Z_2447,or(X_2448,not(X_2448))))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_68821,c_2]) ).
tff(c_69131,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_69130]) ).
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_2635,plain,
! [U_286,V_285,X_288,V_287,U_290,Y_289] : is_a_theorem(or(not(or(not(not(or(not(U_290),X_288))),U_286)),or(or(V_287,or(not(U_290),X_288)),or(or(or(V_285,X_288),or(not(X_288),Y_289)),U_286)))),
inference(resolution,[status(thm)],[c_683,c_12]) ).
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_18193,plain,
! [U_946,Y_943,V_945,U_944,U_948,Y_949,X_947,V_942] : is_a_theorem(or(not(or(not(U_944),U_948)),or(or(not(U_948),Y_943),or(or(V_945,or(not(U_946),X_947)),or(or(or(V_942,X_947),or(not(X_947),Y_949)),U_948))))),
inference(resolution,[status(thm)],[c_2635,c_32]) ).
tff(c_18277,plain,
! [U_946,Y_943,V_945,U_948,U_26,Y_28,Y_949,X_947,V_942] : is_a_theorem(or(not(or(not(U_26),U_948)),or(or(not(U_948),Y_28),or(or(not(U_948),Y_943),or(or(V_945,or(not(U_946),X_947)),or(or(or(V_942,X_947),or(not(X_947),Y_949)),U_948)))))),
inference(resolution,[status(thm)],[c_18193,c_32]) ).
tff(c_69540,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_69131,c_18277]) ).
tff(c_69543,plain,
! [Z_2458,X_2459] : is_a_theorem(or(Z_2458,or(X_2459,not(X_2459)))),
inference(splitRight,[status(thm)],[c_69130]) ).
tff(c_69827,plain,
! [X_2459,X_1] :
( is_a_theorem(or(X_2459,not(X_2459)))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_69543,c_2]) ).
tff(c_69828,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_69827]) ).
tff(c_69541,plain,
! [Z_2447,X_2448] : is_a_theorem(or(Z_2447,or(X_2448,not(X_2448)))),
inference(splitRight,[status(thm)],[c_69130]) ).
tff(c_70052,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_69828,c_69541]) ).
tff(c_70054,plain,
! [X_2460] : is_a_theorem(or(X_2460,not(X_2460))),
inference(splitRight,[status(thm)],[c_69827]) ).
tff(c_70225,plain,
! [X_1] :
( is_a_theorem(not(not(X_1)))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_70054,c_2]) ).
tff(c_70285,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(negUnitSimplification,[status(thm)],[c_32929,c_70225]) ).
tff(c_70053,plain,
! [X_2459] : is_a_theorem(or(X_2459,not(X_2459))),
inference(splitRight,[status(thm)],[c_69827]) ).
tff(c_70509,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70285,c_70053]) ).
tff(c_70516,plain,
! [Z_2461,X_2462,U_2463] : is_a_theorem(or(Z_2461,or(not(X_2462),or(X_2462,U_2463)))),
inference(splitRight,[status(thm)],[c_32474]) ).
tff(c_70697,plain,
! [X_2462,U_2463,X_1] :
( is_a_theorem(or(not(X_2462),or(X_2462,U_2463)))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_70516,c_2]) ).
tff(c_70698,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_70697]) ).
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_339,plain,
! [V_141,Z_139,X_142,Y_144,U_140,U_143] : is_a_theorem(or(not(or(not(U_143),or(not(U_140),X_142))),or(or(V_141,or(not(U_140),X_142)),or(not(or(not(U_140),X_142)),or(or(not(X_142),Y_144),Z_139))))),
inference(resolution,[status(thm)],[c_23,c_43]) ).
tff(c_359,plain,
! [V_141,U_42,Z_139,X_142,Y_144,U_140,Z_41] : is_a_theorem(or(not(or(not(U_42),or(not(or(not(U_140),X_142)),or(or(not(X_142),Y_144),Z_139)))),or(Z_41,or(or(V_141,or(not(U_140),X_142)),or(not(or(not(U_140),X_142)),or(or(not(X_142),Y_144),Z_139)))))),
inference(resolution,[status(thm)],[c_339,c_67]) ).
tff(c_70958,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70698,c_359]) ).
tff(c_70962,plain,
! [X_2471,U_2472] : is_a_theorem(or(not(X_2471),or(X_2471,U_2472))),
inference(splitRight,[status(thm)],[c_70697]) ).
tff(c_71101,plain,
! [X_2473,U_2474] :
( is_a_theorem(or(X_2473,U_2474))
| ~ is_a_theorem(X_2473) ),
inference(resolution,[status(thm)],[c_70962,c_2]) ).
tff(c_22443,plain,
! [X_1089,U_1090,Z_1091] : is_a_theorem(or(not(or(not(X_1089),not(U_1090))),or(Z_1091,or(U_1090,not(U_1090))))),
inference(resolution,[status(thm)],[c_20851,c_12]) ).
tff(c_22553,plain,
! [Z_1091,U_1090,X_1089] :
( is_a_theorem(or(Z_1091,or(U_1090,not(U_1090))))
| ~ is_a_theorem(or(not(X_1089),not(U_1090))) ),
inference(resolution,[status(thm)],[c_22443,c_2]) ).
tff(c_71282,plain,
! [Z_1091,U_1090,X_1089] :
( is_a_theorem(or(Z_1091,or(U_1090,not(U_1090))))
| ~ is_a_theorem(not(X_1089)) ),
inference(resolution,[status(thm)],[c_71101,c_22553]) ).
tff(c_73484,plain,
! [X_1089] : ~ is_a_theorem(not(X_1089)),
inference(splitLeft,[status(thm)],[c_71282]) ).
tff(c_13757,plain,
! [Z_809,U_810,U_807,U_808] :
( is_a_theorem(or(Z_809,or(or(U_810,U_807),U_808)))
| ~ is_a_theorem(or(not(not(U_807)),U_808)) ),
inference(resolution,[status(thm)],[c_13660,c_2]) ).
tff(c_74065,plain,
! [Z_2554,U_2555,U_2556,U_2557] : is_a_theorem(or(Z_2554,or(or(U_2555,U_2556),or(not(U_2556),U_2557)))),
inference(resolution,[status(thm)],[c_70962,c_13757]) ).
tff(c_74212,plain,
! [U_2555,U_2556,U_2557,X_1] :
( is_a_theorem(or(or(U_2555,U_2556),or(not(U_2556),U_2557)))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_74065,c_2]) ).
tff(c_74213,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_74212]) ).
tff(c_71074,plain,
! [Z_809,U_810,U_807,U_2472] : is_a_theorem(or(Z_809,or(or(U_810,U_807),or(not(U_807),U_2472)))),
inference(resolution,[status(thm)],[c_70962,c_13757]) ).
tff(c_74347,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74213,c_71074]) ).
tff(c_74348,plain,
! [U_2555,U_2556,U_2557] : is_a_theorem(or(or(U_2555,U_2556),or(not(U_2556),U_2557))),
inference(splitRight,[status(thm)],[c_74212]) ).
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_14486,plain,
! [Z_835,U_836,U_837,U_838] : is_a_theorem(or(Z_835,or(not(or(U_836,U_837)),or(not(U_838),or(U_836,U_837))))),
inference(resolution,[status(thm)],[c_1826,c_14209]) ).
tff(c_14641,plain,
! [U_836,U_837,U_838,X_1] :
( is_a_theorem(or(not(or(U_836,U_837)),or(not(U_838),or(U_836,U_837))))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_14486,c_2]) ).
tff(c_14644,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_14641]) ).
tff(c_14464,plain,
! [Z_831,U_241,U_240,U_242] : is_a_theorem(or(Z_831,or(not(or(U_241,U_240)),or(not(U_242),or(U_241,U_240))))),
inference(resolution,[status(thm)],[c_1826,c_14209]) ).
tff(c_14772,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14644,c_14464]) ).
tff(c_14853,plain,
! [U_845,U_846,U_847] : is_a_theorem(or(not(or(U_845,U_846)),or(not(U_847),or(U_845,U_846)))),
inference(splitRight,[status(thm)],[c_14641]) ).
tff(c_14950,plain,
! [U_848,U_849,U_850] :
( is_a_theorem(or(not(U_848),or(U_849,U_850)))
| ~ is_a_theorem(or(U_849,U_850)) ),
inference(resolution,[status(thm)],[c_14853,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_2341,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_2399,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_2341]) ).
tff(c_15059,plain,
! [U_271,U_849,U_848,U_850,U_267] :
( is_a_theorem(or(U_271,or(U_267,or(U_849,U_850))))
| ~ is_a_theorem(U_848)
| ~ is_a_theorem(or(U_849,U_850)) ),
inference(resolution,[status(thm)],[c_14950,c_2399]) ).
tff(c_16533,plain,
! [U_848] : ~ is_a_theorem(U_848),
inference(splitLeft,[status(thm)],[c_15059]) ).
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_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_97,plain,
! [U_51,Y_53,Y_55,Z_50,U_26,X_52,Y_28] : is_a_theorem(or(not(or(not(U_26),Z_50)),or(or(not(Z_50),Y_28),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_85,c_32]) ).
tff(c_16751,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16533,c_97]) ).
tff(c_16753,plain,
! [U_898,U_899,U_900,U_901] :
( is_a_theorem(or(U_898,or(U_899,or(U_900,U_901))))
| ~ is_a_theorem(or(U_900,U_901)) ),
inference(splitRight,[status(thm)],[c_15059]) ).
tff(c_26398,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_16753,c_12]) ).
tff(c_27299,plain,
! [U_1300,U_1301,U_1302,X_1303] :
( is_a_theorem(or(not(or(not(U_1300),U_1301)),or(U_1302,or(X_1303,U_1301))))
| ~ is_a_theorem(or(U_1301,U_1300)) ),
inference(resolution,[status(thm)],[c_26398,c_12]) ).
tff(c_27423,plain,
! [U_1302,X_1303,U_1301,U_1300] :
( is_a_theorem(or(U_1302,or(X_1303,U_1301)))
| ~ is_a_theorem(or(not(U_1300),U_1301))
| ~ is_a_theorem(or(U_1301,U_1300)) ),
inference(resolution,[status(thm)],[c_27299,c_2]) ).
tff(c_78410,plain,
! [U_2726,X_2727,X_2728,U_2729] :
( is_a_theorem(or(U_2726,or(X_2727,or(X_2728,U_2729))))
| ~ is_a_theorem(or(or(X_2728,U_2729),X_2728)) ),
inference(resolution,[status(thm)],[c_70962,c_27423]) ).
tff(c_78560,plain,
! [U_2730,X_2731,U_2732,U_2733] : is_a_theorem(or(U_2730,or(X_2731,or(or(not(U_2732),U_2733),U_2732)))),
inference(resolution,[status(thm)],[c_74348,c_78410]) ).
tff(c_78718,plain,
! [X_2731,U_2732,U_2733,X_1] :
( is_a_theorem(or(X_2731,or(or(not(U_2732),U_2733),U_2732)))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_78560,c_2]) ).
tff(c_78719,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_78718]) ).
tff(c_78536,plain,
! [U_2726,X_2727,U_2556,U_2557] : is_a_theorem(or(U_2726,or(X_2727,or(or(not(U_2556),U_2557),U_2556)))),
inference(resolution,[status(thm)],[c_74348,c_78410]) ).
tff(c_78856,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78719,c_78536]) ).
tff(c_78858,plain,
! [X_2734,U_2735,U_2736] : is_a_theorem(or(X_2734,or(or(not(U_2735),U_2736),U_2735))),
inference(splitRight,[status(thm)],[c_78718]) ).
tff(c_79028,plain,
! [U_2735,U_2736,X_1] :
( is_a_theorem(or(or(not(U_2735),U_2736),U_2735))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_78858,c_2]) ).
tff(c_79029,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_79028]) ).
tff(c_27675,plain,
! [U_1314,X_1309,Z_1311,Y_1308,Z_1312,Y_1313,U_1310] : is_a_theorem(or(not(or(not(U_1314),or(not(or(not(U_1310),X_1309)),or(or(not(X_1309),Y_1313),Z_1312)))),or(Z_1311,or(or(not(Z_1312),Y_1308),or(not(or(not(U_1310),X_1309)),or(or(not(X_1309),Y_1313),Z_1312)))))),
inference(resolution,[status(thm)],[c_85,c_67]) ).
tff(c_78246,plain,
! [Z_2723,Y_2720,X_2725,Z_2724,U_2719,Y_2721,U_2722] :
( is_a_theorem(or(Z_2723,or(or(not(Z_2724),Y_2721),or(not(or(not(U_2722),X_2725)),or(or(not(X_2725),Y_2720),Z_2724)))))
| ~ is_a_theorem(or(not(U_2719),or(not(or(not(U_2722),X_2725)),or(or(not(X_2725),Y_2720),Z_2724)))) ),
inference(resolution,[status(thm)],[c_27675,c_2]) ).
tff(c_78409,plain,
! [V_7,U_3,Z_2723,Y_2720,X_5,Y_2721] : is_a_theorem(or(Z_2723,or(or(not(or(V_7,X_5)),Y_2721),or(not(or(not(U_3),X_5)),or(or(not(X_5),Y_2720),or(V_7,X_5)))))),
inference(resolution,[status(thm)],[c_4,c_78246]) ).
tff(c_79324,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_79029,c_78409]) ).
tff(c_79326,plain,
! [U_2743,U_2744] : is_a_theorem(or(or(not(U_2743),U_2744),U_2743)),
inference(splitRight,[status(thm)],[c_79028]) ).
tff(c_71795,plain,
! [Z_2486,U_2487,X_2488] : is_a_theorem(or(Z_2486,or(not(U_2487),or(X_2488,U_2487)))),
inference(resolution,[status(thm)],[c_70962,c_13657]) ).
tff(c_71965,plain,
! [U_2487,X_2488,X_1] :
( is_a_theorem(or(not(U_2487),or(X_2488,U_2487)))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_71795,c_2]) ).
tff(c_71966,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_71965]) ).
tff(c_71073,plain,
! [Z_806,U_2472,X_2471] : is_a_theorem(or(Z_806,or(not(U_2472),or(X_2471,U_2472)))),
inference(resolution,[status(thm)],[c_70962,c_13657]) ).
tff(c_72108,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_71966,c_71073]) ).
tff(c_72217,plain,
! [U_2496,X_2497] : is_a_theorem(or(not(U_2496),or(X_2497,U_2496))),
inference(splitRight,[status(thm)],[c_71965]) ).
tff(c_26516,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_26398,c_2]) ).
tff(c_75533,plain,
! [U_2611,U_2612,X_2613,U_2614] :
( is_a_theorem(or(U_2611,or(U_2612,or(X_2613,U_2614))))
| ~ is_a_theorem(or(U_2614,U_2612)) ),
inference(resolution,[status(thm)],[c_72217,c_26516]) ).
tff(c_75674,plain,
! [U_2612,X_2613,U_2614,X_1] :
( is_a_theorem(or(U_2612,or(X_2613,U_2614)))
| ~ is_a_theorem(X_1)
| ~ is_a_theorem(or(U_2614,U_2612)) ),
inference(resolution,[status(thm)],[c_75533,c_2]) ).
tff(c_75817,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_75674]) ).
tff(c_712,plain,
! [V_181,U_42,V_182,Y_183,U_185,X_186,Z_41] : is_a_theorem(or(not(or(not(U_42),or(not(or(not(U_185),X_186)),or(or(V_181,X_186),or(not(X_186),Y_183))))),or(Z_41,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_683,c_67]) ).
tff(c_75945,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_75817,c_712]) ).
tff(c_75947,plain,
! [U_2620,X_2621,U_2622] :
( is_a_theorem(or(U_2620,or(X_2621,U_2622)))
| ~ is_a_theorem(or(U_2622,U_2620)) ),
inference(splitRight,[status(thm)],[c_75674]) ).
tff(c_76091,plain,
! [X_2621,U_2622,X_1] :
( is_a_theorem(or(X_2621,U_2622))
| ~ is_a_theorem(X_1)
| ~ is_a_theorem(or(U_2622,not(X_1))) ),
inference(resolution,[status(thm)],[c_75947,c_2]) ).
tff(c_79347,plain,
! [X_2745,X_2746,U_2747] :
( is_a_theorem(or(X_2745,or(not(not(X_2746)),U_2747)))
| ~ is_a_theorem(X_2746) ),
inference(resolution,[status(thm)],[c_79326,c_76091]) ).
tff(c_79500,plain,
! [X_2746,U_2747,X_1] :
( is_a_theorem(or(not(not(X_2746)),U_2747))
| ~ is_a_theorem(X_1)
| ~ is_a_theorem(X_2746) ),
inference(resolution,[status(thm)],[c_79347,c_2]) ).
tff(c_79522,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_79500]) ).
tff(c_79325,plain,
! [U_2735,U_2736] : is_a_theorem(or(or(not(U_2735),U_2736),U_2735)),
inference(splitRight,[status(thm)],[c_79028]) ).
tff(c_79663,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_79522,c_79325]) ).
tff(c_79665,plain,
! [X_2751,U_2752] :
( is_a_theorem(or(not(not(X_2751)),U_2752))
| ~ is_a_theorem(X_2751) ),
inference(splitRight,[status(thm)],[c_79500]) ).
tff(c_79763,plain,
! [Z_1091,U_1090,X_2751] :
( is_a_theorem(or(Z_1091,or(U_1090,not(U_1090))))
| ~ is_a_theorem(X_2751) ),
inference(resolution,[status(thm)],[c_79665,c_22553]) ).
tff(c_79781,plain,
! [X_2751] : ~ is_a_theorem(X_2751),
inference(splitLeft,[status(thm)],[c_79763]) ).
tff(c_80080,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_79781,c_78409]) ).
tff(c_80083,plain,
! [Z_2759,U_2760] : is_a_theorem(or(Z_2759,or(U_2760,not(U_2760)))),
inference(splitRight,[status(thm)],[c_79763]) ).
tff(c_80219,plain,
! [U_2760,X_1] :
( is_a_theorem(or(U_2760,not(U_2760)))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_80083,c_2]) ).
tff(c_80220,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_80219]) ).
tff(c_80081,plain,
! [Z_1091,U_1090] : is_a_theorem(or(Z_1091,or(U_1090,not(U_1090)))),
inference(splitRight,[status(thm)],[c_79763]) ).
tff(c_80361,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80220,c_80081]) ).
tff(c_80363,plain,
! [U_2761] : is_a_theorem(or(U_2761,not(U_2761))),
inference(splitRight,[status(thm)],[c_80219]) ).
tff(c_80450,plain,
! [X_1] :
( is_a_theorem(not(not(X_1)))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_80363,c_2]) ).
tff(c_80482,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(negUnitSimplification,[status(thm)],[c_73484,c_80450]) ).
tff(c_80362,plain,
! [U_2760] : is_a_theorem(or(U_2760,not(U_2760))),
inference(splitRight,[status(thm)],[c_80219]) ).
tff(c_80625,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80482,c_80362]) ).
tff(c_80628,plain,
! [Z_2762,U_2763] : is_a_theorem(or(Z_2762,or(U_2763,not(U_2763)))),
inference(splitRight,[status(thm)],[c_71282]) ).
tff(c_80769,plain,
! [U_2763,X_1] :
( is_a_theorem(or(U_2763,not(U_2763)))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_80628,c_2]) ).
tff(c_80770,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_80769]) ).
tff(c_80626,plain,
! [Z_1091,U_1090] : is_a_theorem(or(Z_1091,or(U_1090,not(U_1090)))),
inference(splitRight,[status(thm)],[c_71282]) ).
tff(c_81074,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80770,c_80626]) ).
tff(c_81076,plain,
! [U_2771] : is_a_theorem(or(U_2771,not(U_2771))),
inference(splitRight,[status(thm)],[c_80769]) ).
tff(c_83248,plain,
! [Z_2847,U_2848,U_2849] : is_a_theorem(or(Z_2847,or(or(U_2848,U_2849),not(not(not(U_2849)))))),
inference(resolution,[status(thm)],[c_81076,c_13757]) ).
tff(c_83366,plain,
! [U_2848,U_2849,X_1] :
( is_a_theorem(or(or(U_2848,U_2849),not(not(not(U_2849)))))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_83248,c_2]) ).
tff(c_83452,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_83366]) ).
tff(c_14034,plain,
! [Z_827,U_828,U_829,U_830] :
( is_a_theorem(or(Z_827,or(or(U_828,U_829),U_830)))
| ~ is_a_theorem(or(not(not(U_829)),U_830)) ),
inference(resolution,[status(thm)],[c_13660,c_2]) ).
tff(c_25467,plain,
! [U_1228,U_1225,Z_1229,U_1227,U_1226] :
( is_a_theorem(or(Z_1229,or(or(U_1228,U_1225),or(U_1226,U_1227))))
| ~ is_a_theorem(or(not(not(U_1225)),U_1227)) ),
inference(resolution,[status(thm)],[c_2267,c_14034]) ).
tff(c_25625,plain,
! [U_1228,U_1225,U_1227,U_1226,X_1] :
( is_a_theorem(or(or(U_1228,U_1225),or(U_1226,U_1227)))
| ~ is_a_theorem(X_1)
| ~ is_a_theorem(or(not(not(U_1225)),U_1227)) ),
inference(resolution,[status(thm)],[c_25467,c_2]) ).
tff(c_25798,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_25625]) ).
tff(c_7146,plain,
! [U_525,U_520,V_524,Y_523,Z_526,X_522,Y_521] : is_a_theorem(or(not(or(not(U_525),or(not(U_520),X_522))),or(or(not(or(not(U_520),X_522)),Y_523),or(or(V_524,or(not(U_520),X_522)),or(not(or(not(U_520),X_522)),or(or(not(X_522),Y_521),Z_526)))))),
inference(resolution,[status(thm)],[c_339,c_32]) ).
tff(c_7217,plain,
! [U_525,U_520,V_524,Y_523,Z_526,X_522,Y_521] : is_a_theorem(or(not(or(not(or(V_524,or(not(U_520),X_522))),U_525)),or(or(not(or(not(U_520),X_522)),Y_523),or(or(not(or(not(U_520),X_522)),or(or(not(X_522),Y_521),Z_526)),U_525)))),
inference(resolution,[status(thm)],[c_7146,c_12]) ).
tff(c_25923,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_25798,c_7217]) ).
tff(c_25924,plain,
! [U_1228,U_1225,U_1226,U_1227] :
( is_a_theorem(or(or(U_1228,U_1225),or(U_1226,U_1227)))
| ~ is_a_theorem(or(not(not(U_1225)),U_1227)) ),
inference(splitRight,[status(thm)],[c_25625]) ).
tff(c_81163,plain,
! [U_1228,U_1225,U_1226] : is_a_theorem(or(or(U_1228,U_1225),or(U_1226,not(not(not(U_1225)))))),
inference(resolution,[status(thm)],[c_81076,c_25924]) ).
tff(c_83590,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_83452,c_81163]) ).
tff(c_83591,plain,
! [U_2848,U_2849] : is_a_theorem(or(or(U_2848,U_2849),not(not(not(U_2849))))),
inference(splitRight,[status(thm)],[c_83366]) ).
tff(c_130451,plain,
! [U_3987,X_3988,X_3989,U_3990] :
( is_a_theorem(or(U_3987,or(X_3988,or(X_3989,U_3990))))
| ~ is_a_theorem(or(or(X_3989,U_3990),X_3989)) ),
inference(resolution,[status(thm)],[c_70962,c_27423]) ).
tff(c_133915,plain,
! [U_4052,X_4053,U_4054] : is_a_theorem(or(U_4052,or(X_4053,or(not(not(not(U_4054))),U_4054)))),
inference(resolution,[status(thm)],[c_83591,c_130451]) ).
tff(c_134155,plain,
! [X_4053,U_4054,X_1] :
( is_a_theorem(or(X_4053,or(not(not(not(U_4054))),U_4054)))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_133915,c_2]) ).
tff(c_134156,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_134155]) ).
tff(c_130900,plain,
! [U_3987,X_3988,U_2849] : is_a_theorem(or(U_3987,or(X_3988,or(not(not(not(U_2849))),U_2849)))),
inference(resolution,[status(thm)],[c_83591,c_130451]) ).
tff(c_134498,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_134156,c_130900]) ).
tff(c_134500,plain,
! [X_4055,U_4056] : is_a_theorem(or(X_4055,or(not(not(not(U_4056))),U_4056))),
inference(splitRight,[status(thm)],[c_134155]) ).
tff(c_134764,plain,
! [U_4056,X_1] :
( is_a_theorem(or(not(not(not(U_4056))),U_4056))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_134500,c_2]) ).
tff(c_134765,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_134764]) ).
tff(c_8030,plain,
! [Y_570,V_566,V_568,U_567,Y_565,U_571,X_569] : is_a_theorem(or(not(or(not(U_567),or(not(U_571),X_569))),or(or(not(or(not(U_571),X_569)),Y_565),or(or(V_568,or(not(U_571),X_569)),or(not(or(not(U_571),X_569)),or(or(V_566,X_569),or(not(X_569),Y_570))))))),
inference(resolution,[status(thm)],[c_683,c_32]) ).
tff(c_27002,plain,
! [U_1288,V_1290,U_1286,X_1289,Y_1287,Y_1291,V_1292] : is_a_theorem(or(not(or(not(or(V_1290,or(not(U_1288),X_1289))),U_1286)),or(or(not(or(not(U_1288),X_1289)),Y_1287),or(or(not(or(not(U_1288),X_1289)),or(or(V_1292,X_1289),or(not(X_1289),Y_1291))),U_1286)))),
inference(resolution,[status(thm)],[c_8030,c_12]) ).
tff(c_27104,plain,
! [U_1288,U_26,U_1286,Y_28,X_1289,Y_1287,Y_1291,V_1292] : is_a_theorem(or(not(or(not(U_26),U_1286)),or(or(not(U_1286),Y_28),or(or(not(or(not(U_1288),X_1289)),Y_1287),or(or(not(or(not(U_1288),X_1289)),or(or(V_1292,X_1289),or(not(X_1289),Y_1291))),U_1286))))),
inference(resolution,[status(thm)],[c_27002,c_32]) ).
tff(c_135274,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_134765,c_27104]) ).
tff(c_135276,plain,
! [U_4065] : is_a_theorem(or(not(not(not(U_4065))),U_4065)),
inference(splitRight,[status(thm)],[c_134764]) ).
tff(c_135543,plain,
! [U_4073,U_4074,U_4075] : is_a_theorem(or(or(U_4073,not(U_4074)),or(U_4075,U_4074))),
inference(resolution,[status(thm)],[c_135276,c_25924]) ).
tff(c_71060,plain,
! [U_1302,X_1303,X_2471,U_2472] :
( is_a_theorem(or(U_1302,or(X_1303,or(X_2471,U_2472))))
| ~ is_a_theorem(or(or(X_2471,U_2472),X_2471)) ),
inference(resolution,[status(thm)],[c_70962,c_27423]) ).
tff(c_135635,plain,
! [U_4080,X_4081,U_4082,U_4083] : is_a_theorem(or(U_4080,or(X_4081,or(or(U_4082,U_4083),not(U_4083))))),
inference(resolution,[status(thm)],[c_135543,c_71060]) ).
tff(c_135879,plain,
! [X_4081,U_4082,U_4083,X_1] :
( is_a_theorem(or(X_4081,or(or(U_4082,U_4083),not(U_4083))))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_135635,c_2]) ).
tff(c_136033,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_135879]) ).
tff(c_12443,plain,
! [Y_755,U_752,Z_751,U_754,Z_753] : is_a_theorem(or(not(or(not(U_754),or(or(not(Z_751),Y_755),Z_751))),or(Z_753,or(not(or(not(U_752),Z_751)),or(or(not(Z_751),Y_755),Z_751))))),
inference(resolution,[status(thm)],[c_23,c_68]) ).
tff(c_12542,plain,
! [Y_755,U_752,Z_751,U_26,Y_28,Z_753] : is_a_theorem(or(not(or(not(U_26),or(or(not(Z_751),Y_755),Z_751))),or(or(not(or(or(not(Z_751),Y_755),Z_751)),Y_28),or(Z_753,or(not(or(not(U_752),Z_751)),or(or(not(Z_751),Y_755),Z_751)))))),
inference(resolution,[status(thm)],[c_12443,c_32]) ).
tff(c_136384,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_136033,c_12542]) ).
tff(c_136386,plain,
! [X_4090,U_4091,U_4092] : is_a_theorem(or(X_4090,or(or(U_4091,U_4092),not(U_4092)))),
inference(splitRight,[status(thm)],[c_135879]) ).
tff(c_136626,plain,
! [U_4091,U_4092,X_1] :
( is_a_theorem(or(or(U_4091,U_4092),not(U_4092)))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_136386,c_2]) ).
tff(c_136627,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_136626]) ).
tff(c_136385,plain,
! [X_4081,U_4082,U_4083] : is_a_theorem(or(X_4081,or(or(U_4082,U_4083),not(U_4083)))),
inference(splitRight,[status(thm)],[c_135879]) ).
tff(c_136979,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_136627,c_136385]) ).
tff(c_136981,plain,
! [U_4093,U_4094] : is_a_theorem(or(or(U_4093,U_4094),not(U_4094))),
inference(splitRight,[status(thm)],[c_136626]) ).
tff(c_137054,plain,
! [U_4095,X_4096,U_4097] : is_a_theorem(or(U_4095,or(X_4096,or(not(U_4097),U_4097)))),
inference(resolution,[status(thm)],[c_136981,c_71060]) ).
tff(c_137294,plain,
! [X_4096,U_4097,X_1] :
( is_a_theorem(or(X_4096,or(not(U_4097),U_4097)))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_137054,c_2]) ).
tff(c_137295,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_137294]) ).
tff(c_137031,plain,
! [U_1302,X_1303,U_4094] : is_a_theorem(or(U_1302,or(X_1303,or(not(U_4094),U_4094)))),
inference(resolution,[status(thm)],[c_136981,c_71060]) ).
tff(c_137649,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_137295,c_137031]) ).
tff(c_137810,plain,
! [X_4106,U_4107] : is_a_theorem(or(X_4106,or(not(U_4107),U_4107))),
inference(splitRight,[status(thm)],[c_137294]) ).
tff(c_138074,plain,
! [U_4107,X_1] :
( is_a_theorem(or(not(U_4107),U_4107))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_137810,c_2]) ).
tff(c_138075,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_138074]) ).
tff(c_137650,plain,
! [X_4096,U_4097] : is_a_theorem(or(X_4096,or(not(U_4097),U_4097))),
inference(splitRight,[status(thm)],[c_137294]) ).
tff(c_138431,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_138075,c_137650]) ).
tff(c_138432,plain,
! [U_4107] : is_a_theorem(or(not(U_4107),U_4107)),
inference(splitRight,[status(thm)],[c_138074]) ).
tff(c_2339,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_81175,plain,
! [U_269,U_268] :
( is_a_theorem(or(U_269,not(not(U_268))))
| ~ is_a_theorem(U_268) ),
inference(resolution,[status(thm)],[c_81076,c_2339]) ).
tff(c_85211,plain,
! [U_2915,U_2916,U_2917] :
( is_a_theorem(or(U_2915,or(U_2916,not(not(U_2917)))))
| ~ is_a_theorem(or(U_2917,U_2916)) ),
inference(resolution,[status(thm)],[c_81076,c_26516]) ).
tff(c_85336,plain,
! [U_2916,U_2917,X_1] :
( is_a_theorem(or(U_2916,not(not(U_2917))))
| ~ is_a_theorem(X_1)
| ~ is_a_theorem(or(U_2917,U_2916)) ),
inference(resolution,[status(thm)],[c_85211,c_2]) ).
tff(c_85555,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_85336]) ).
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_6426,plain,
! [U_488,Z_485,V_489,Y_487,V_486,X_491,U_490] : is_a_theorem(or(not(or(not(U_488),or(not(U_490),X_491))),or(or(not(or(not(U_490),X_491)),Y_487),or(or(V_489,or(not(U_490),X_491)),or(not(or(not(U_490),X_491)),or(Z_485,or(V_486,X_491))))))),
inference(resolution,[status(thm)],[c_149,c_32]) ).
tff(c_6493,plain,
! [Z_485,V_489,Y_487,U_26,Y_28,V_486,X_491,U_490] : is_a_theorem(or(not(or(not(U_26),or(not(U_490),X_491))),or(or(not(or(not(U_490),X_491)),Y_28),or(or(not(or(not(U_490),X_491)),Y_487),or(or(V_489,or(not(U_490),X_491)),or(not(or(not(U_490),X_491)),or(Z_485,or(V_486,X_491)))))))),
inference(resolution,[status(thm)],[c_6426,c_32]) ).
tff(c_85699,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_85555,c_6493]) ).
tff(c_85859,plain,
! [U_2929,U_2930] :
( is_a_theorem(or(U_2929,not(not(U_2930))))
| ~ is_a_theorem(or(U_2930,U_2929)) ),
inference(splitRight,[status(thm)],[c_85336]) ).
tff(c_83604,plain,
! [U_2862,U_2863,X_2864,U_2865] :
( is_a_theorem(or(U_2862,or(U_2863,or(X_2864,U_2865))))
| ~ is_a_theorem(or(X_2864,U_2863)) ),
inference(resolution,[status(thm)],[c_70962,c_26516]) ).
tff(c_83745,plain,
! [U_2863,X_2864,U_2865,X_1] :
( is_a_theorem(or(U_2863,or(X_2864,U_2865)))
| ~ is_a_theorem(X_1)
| ~ is_a_theorem(or(X_2864,U_2863)) ),
inference(resolution,[status(thm)],[c_83604,c_2]) ).
tff(c_83889,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_83745]) ).
tff(c_84027,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_83889,c_83591]) ).
tff(c_84030,plain,
! [U_2871,X_2872,U_2873] :
( is_a_theorem(or(U_2871,or(X_2872,U_2873)))
| ~ is_a_theorem(or(X_2872,U_2871)) ),
inference(splitRight,[status(thm)],[c_83745]) ).
tff(c_84174,plain,
! [X_2872,U_2873,X_1] :
( is_a_theorem(or(X_2872,U_2873))
| ~ is_a_theorem(X_1)
| ~ is_a_theorem(or(X_2872,not(X_1))) ),
inference(resolution,[status(thm)],[c_84030,c_2]) ).
tff(c_86077,plain,
! [U_2942,U_2943,U_2944] :
( is_a_theorem(or(U_2942,U_2943))
| ~ is_a_theorem(not(U_2944))
| ~ is_a_theorem(or(U_2944,U_2942)) ),
inference(resolution,[status(thm)],[c_85859,c_84174]) ).
tff(c_86316,plain,
! [U_268,U_2943,U_269] :
( is_a_theorem(or(not(not(U_268)),U_2943))
| ~ is_a_theorem(not(U_269))
| ~ is_a_theorem(U_268) ),
inference(resolution,[status(thm)],[c_81175,c_86077]) ).
tff(c_87884,plain,
! [U_269] : ~ is_a_theorem(not(U_269)),
inference(splitLeft,[status(thm)],[c_86316]) ).
tff(c_86318,plain,
! [U_1090,U_2943,Z_1091] :
( is_a_theorem(or(or(U_1090,not(U_1090)),U_2943))
| ~ is_a_theorem(not(Z_1091)) ),
inference(resolution,[status(thm)],[c_80626,c_86077]) ).
tff(c_86387,plain,
! [Z_1091] : ~ is_a_theorem(not(Z_1091)),
inference(splitLeft,[status(thm)],[c_86318]) ).
tff(c_81184,plain,
! [X_1] :
( is_a_theorem(not(not(X_1)))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_81076,c_2]) ).
tff(c_86388,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(negUnitSimplification,[status(thm)],[c_86387,c_81184]) ).
tff(c_7216,plain,
! [U_520,U_26,V_524,Y_28,Y_523,Z_526,X_522,Y_521] : is_a_theorem(or(not(or(not(U_26),or(not(U_520),X_522))),or(or(not(or(not(U_520),X_522)),Y_28),or(or(not(or(not(U_520),X_522)),Y_523),or(or(V_524,or(not(U_520),X_522)),or(not(or(not(U_520),X_522)),or(or(not(X_522),Y_521),Z_526))))))),
inference(resolution,[status(thm)],[c_7146,c_32]) ).
tff(c_86553,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86388,c_7216]) ).
tff(c_86554,plain,
! [U_1090,U_2943] : is_a_theorem(or(or(U_1090,not(U_1090)),U_2943)),
inference(splitRight,[status(thm)],[c_86318]) ).
tff(c_87236,plain,
! [U_2962,X_2963] :
( is_a_theorem(not(not(U_2962)))
| ~ is_a_theorem(X_2963)
| ~ is_a_theorem(or(U_2962,not(X_2963))) ),
inference(resolution,[status(thm)],[c_85859,c_2]) ).
tff(c_87270,plain,
! [U_1090,X_2963] :
( is_a_theorem(not(not(or(U_1090,not(U_1090)))))
| ~ is_a_theorem(X_2963) ),
inference(resolution,[status(thm)],[c_86554,c_87236]) ).
tff(c_87278,plain,
! [X_2963] : ~ is_a_theorem(X_2963),
inference(splitLeft,[status(thm)],[c_87270]) ).
tff(c_87431,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_87278,c_86554]) ).
tff(c_87432,plain,
! [U_1090] : is_a_theorem(not(not(or(U_1090,not(U_1090))))),
inference(splitRight,[status(thm)],[c_87270]) ).
tff(c_87891,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_87884,c_87432]) ).
tff(c_87894,plain,
! [U_2989,U_2990] :
( is_a_theorem(or(not(not(U_2989)),U_2990))
| ~ is_a_theorem(U_2989) ),
inference(splitRight,[status(thm)],[c_86316]) ).
tff(c_88205,plain,
! [Z_2999,U_3000,U_3001,U_3002] :
( is_a_theorem(or(Z_2999,or(or(U_3000,U_3001),U_3002)))
| ~ is_a_theorem(U_3001) ),
inference(resolution,[status(thm)],[c_87894,c_13757]) ).
tff(c_88355,plain,
! [U_3000,U_3001,U_3002,X_1] :
( is_a_theorem(or(or(U_3000,U_3001),U_3002))
| ~ is_a_theorem(X_1)
| ~ is_a_theorem(U_3001) ),
inference(resolution,[status(thm)],[c_88205,c_2]) ).
tff(c_88370,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_88355]) ).
tff(c_88535,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88370,c_87432]) ).
tff(c_88536,plain,
! [U_3000,U_3001,U_3002] :
( is_a_theorem(or(or(U_3000,U_3001),U_3002))
| ~ is_a_theorem(U_3001) ),
inference(splitRight,[status(thm)],[c_88355]) ).
tff(c_85700,plain,
! [U_2916,U_2917] :
( is_a_theorem(or(U_2916,not(not(U_2917))))
| ~ is_a_theorem(or(U_2917,U_2916)) ),
inference(splitRight,[status(thm)],[c_85336]) ).
tff(c_87545,plain,
! [U_2983,U_2984] :
( is_a_theorem(not(not(U_2983)))
| ~ is_a_theorem(not(U_2984))
| ~ is_a_theorem(or(U_2984,U_2983)) ),
inference(resolution,[status(thm)],[c_85700,c_87236]) ).
tff(c_118342,plain,
! [U_3714,U_3715] :
( is_a_theorem(not(not(not(not(U_3714)))))
| ~ is_a_theorem(not(U_3715))
| ~ is_a_theorem(or(U_3714,U_3715)) ),
inference(resolution,[status(thm)],[c_85700,c_87545]) ).
tff(c_118754,plain,
! [U_3000,U_3001,U_3002] :
( is_a_theorem(not(not(not(not(or(U_3000,U_3001))))))
| ~ is_a_theorem(not(U_3002))
| ~ is_a_theorem(U_3001) ),
inference(resolution,[status(thm)],[c_88536,c_118342]) ).
tff(c_128719,plain,
! [U_3002] : ~ is_a_theorem(not(U_3002)),
inference(splitLeft,[status(thm)],[c_118754]) ).
tff(c_101105,plain,
! [U_3404,U_3405,U_3406] :
( is_a_theorem(or(U_3404,not(not(U_3405))))
| ~ is_a_theorem(U_3406)
| ~ is_a_theorem(or(U_3405,not(U_3406))) ),
inference(resolution,[status(thm)],[c_85859,c_2339]) ).
tff(c_101158,plain,
! [U_3404,U_1090,U_3406] :
( is_a_theorem(or(U_3404,not(not(or(U_1090,not(U_1090))))))
| ~ is_a_theorem(U_3406) ),
inference(resolution,[status(thm)],[c_86554,c_101105]) ).
tff(c_101166,plain,
! [U_3406] : ~ is_a_theorem(U_3406),
inference(splitLeft,[status(thm)],[c_101158]) ).
tff(c_2174,plain,
! [U_260,Z_261,X_258,Y_259,U_263,V_262] : is_a_theorem(or(not(or(not(U_260),or(V_262,X_258))),or(or(not(or(V_262,X_258)),Y_259),or(not(or(not(U_263),X_258)),or(Z_261,or(V_262,X_258)))))),
inference(resolution,[status(thm)],[c_53,c_32]) ).
tff(c_9087,plain,
! [Z_610,V_611,X_608,Y_607,U_606,U_609] : is_a_theorem(or(not(or(not(not(or(not(U_609),X_608))),U_606)),or(or(not(or(V_611,X_608)),Y_607),or(or(Z_610,or(V_611,X_608)),U_606)))),
inference(resolution,[status(thm)],[c_2174,c_12]) ).
tff(c_9156,plain,
! [Z_610,V_611,X_608,Y_607,U_606,U_609] : is_a_theorem(or(not(or(not(or(Z_610,or(V_611,X_608))),not(or(not(U_609),X_608)))),or(or(not(or(V_611,X_608)),Y_607),or(U_606,not(or(not(U_609),X_608)))))),
inference(resolution,[status(thm)],[c_9087,c_12]) ).
tff(c_101481,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_101166,c_9156]) ).
tff(c_101483,plain,
! [U_3413,U_3414] : is_a_theorem(or(U_3413,not(not(or(U_3414,not(U_3414)))))),
inference(splitRight,[status(thm)],[c_101158]) ).
tff(c_85951,plain,
! [U_2929,U_2873,U_2930] :
( is_a_theorem(or(U_2929,U_2873))
| ~ is_a_theorem(not(U_2930))
| ~ is_a_theorem(or(U_2930,U_2929)) ),
inference(resolution,[status(thm)],[c_85859,c_84174]) ).
tff(c_101639,plain,
! [U_3414,U_2873,U_3413] :
( is_a_theorem(or(not(not(or(U_3414,not(U_3414)))),U_2873))
| ~ is_a_theorem(not(U_3413)) ),
inference(resolution,[status(thm)],[c_101483,c_85951]) ).
tff(c_103673,plain,
! [U_3413] : ~ is_a_theorem(not(U_3413)),
inference(splitLeft,[status(thm)],[c_101639]) ).
tff(c_94352,plain,
! [U_3243,U_3244,U_3245,U_3246] :
( is_a_theorem(or(U_3243,or(U_3244,U_3245)))
| ~ is_a_theorem(or(U_3246,U_3244))
| ~ is_a_theorem(not(U_3246)) ),
inference(resolution,[status(thm)],[c_71101,c_26516]) ).
tff(c_94668,plain,
! [U_3243,U_1090,U_3245,Z_1091] :
( is_a_theorem(or(U_3243,or(or(U_1090,not(U_1090)),U_3245)))
| ~ is_a_theorem(not(Z_1091)) ),
inference(resolution,[status(thm)],[c_80626,c_94352]) ).
tff(c_94734,plain,
! [Z_1091] : ~ is_a_theorem(not(Z_1091)),
inference(splitLeft,[status(thm)],[c_94668]) ).
tff(c_20950,plain,
! [Z_1047,X_1048,U_1046] :
( is_a_theorem(or(Z_1047,or(X_1048,U_1046)))
| ~ is_a_theorem(or(not(not(U_1046)),U_1046)) ),
inference(resolution,[status(thm)],[c_20851,c_2]) ).
tff(c_80743,plain,
! [Z_1047,X_1048,U_2763] : is_a_theorem(or(Z_1047,or(X_1048,or(U_2763,not(U_2763))))),
inference(resolution,[status(thm)],[c_80628,c_20950]) ).
tff(c_86314,plain,
! [X_1048,U_2763,U_2943,Z_1047] :
( is_a_theorem(or(or(X_1048,or(U_2763,not(U_2763))),U_2943))
| ~ is_a_theorem(not(Z_1047)) ),
inference(resolution,[status(thm)],[c_80743,c_86077]) ).
tff(c_91612,plain,
! [Z_1047] : ~ is_a_theorem(not(Z_1047)),
inference(splitLeft,[status(thm)],[c_86314]) ).
tff(c_86327,plain,
! [U_2472,X_2471,U_2943,Z_806] :
( is_a_theorem(or(or(not(U_2472),or(X_2471,U_2472)),U_2943))
| ~ is_a_theorem(not(Z_806)) ),
inference(resolution,[status(thm)],[c_71073,c_86077]) ).
tff(c_91067,plain,
! [Z_806] : ~ is_a_theorem(not(Z_806)),
inference(splitLeft,[status(thm)],[c_86327]) ).
tff(c_70510,plain,
! [Z_1442,X_1455,U_1456] : is_a_theorem(or(Z_1442,or(not(X_1455),or(X_1455,U_1456)))),
inference(splitRight,[status(thm)],[c_32474]) ).
tff(c_86331,plain,
! [X_1455,U_1456,U_2943,Z_1442] :
( is_a_theorem(or(or(not(X_1455),or(X_1455,U_1456)),U_2943))
| ~ is_a_theorem(not(Z_1442)) ),
inference(resolution,[status(thm)],[c_70510,c_86077]) ).
tff(c_90531,plain,
! [Z_1442] : ~ is_a_theorem(not(Z_1442)),
inference(splitLeft,[status(thm)],[c_86331]) ).
tff(c_90542,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90531,c_87432]) ).
tff(c_90544,plain,
! [X_3086,U_3087,U_3088] : is_a_theorem(or(or(not(X_3086),or(X_3086,U_3087)),U_3088)),
inference(splitRight,[status(thm)],[c_86331]) ).
tff(c_85979,plain,
! [U_2930,X_1] :
( is_a_theorem(not(not(U_2930)))
| ~ is_a_theorem(X_1)
| ~ is_a_theorem(or(U_2930,not(X_1))) ),
inference(resolution,[status(thm)],[c_85859,c_2]) ).
tff(c_90565,plain,
! [X_3086,U_3087,X_1] :
( is_a_theorem(not(not(or(not(X_3086),or(X_3086,U_3087)))))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_90544,c_85979]) ).
tff(c_90573,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_90565]) ).
tff(c_90543,plain,
! [X_1455,U_1456,U_2943] : is_a_theorem(or(or(not(X_1455),or(X_1455,U_1456)),U_2943)),
inference(splitRight,[status(thm)],[c_86331]) ).
tff(c_90750,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90573,c_90543]) ).
tff(c_90751,plain,
! [X_3086,U_3087] : is_a_theorem(not(not(or(not(X_3086),or(X_3086,U_3087))))),
inference(splitRight,[status(thm)],[c_90565]) ).
tff(c_91079,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_91067,c_90751]) ).
tff(c_91081,plain,
! [U_3107,X_3108,U_3109] : is_a_theorem(or(or(not(U_3107),or(X_3108,U_3107)),U_3109)),
inference(splitRight,[status(thm)],[c_86327]) ).
tff(c_91102,plain,
! [U_3107,X_3108,X_1] :
( is_a_theorem(not(not(or(not(U_3107),or(X_3108,U_3107)))))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_91081,c_85979]) ).
tff(c_91110,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_91102]) ).
tff(c_91080,plain,
! [U_2472,X_2471,U_2943] : is_a_theorem(or(or(not(U_2472),or(X_2471,U_2472)),U_2943)),
inference(splitRight,[status(thm)],[c_86327]) ).
tff(c_91292,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_91110,c_91080]) ).
tff(c_91293,plain,
! [U_3107,X_3108] : is_a_theorem(not(not(or(not(U_3107),or(X_3108,U_3107))))),
inference(splitRight,[status(thm)],[c_91102]) ).
tff(c_91625,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_91612,c_91293]) ).
tff(c_91627,plain,
! [X_3130,U_3131,U_3132] : is_a_theorem(or(or(X_3130,or(U_3131,not(U_3131))),U_3132)),
inference(splitRight,[status(thm)],[c_86314]) ).
tff(c_91645,plain,
! [X_3130,U_3131,X_1] :
( is_a_theorem(not(not(or(X_3130,or(U_3131,not(U_3131))))))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_91627,c_85979]) ).
tff(c_91652,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_91645]) ).
tff(c_91626,plain,
! [X_1048,U_2763,U_2943] : is_a_theorem(or(or(X_1048,or(U_2763,not(U_2763))),U_2943)),
inference(splitRight,[status(thm)],[c_86314]) ).
tff(c_91836,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_91652,c_91626]) ).
tff(c_91837,plain,
! [X_3130,U_3131] : is_a_theorem(not(not(or(X_3130,or(U_3131,not(U_3131)))))),
inference(splitRight,[status(thm)],[c_91645]) ).
tff(c_94956,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94734,c_91837]) ).
tff(c_94958,plain,
! [U_3247,U_3248,U_3249] : is_a_theorem(or(U_3247,or(or(U_3248,not(U_3248)),U_3249))),
inference(splitRight,[status(thm)],[c_94668]) ).
tff(c_95101,plain,
! [U_3248,U_3249,U_2873,U_3247] :
( is_a_theorem(or(or(or(U_3248,not(U_3248)),U_3249),U_2873))
| ~ is_a_theorem(not(U_3247)) ),
inference(resolution,[status(thm)],[c_94958,c_85951]) ).
tff(c_95607,plain,
! [U_3247] : ~ is_a_theorem(not(U_3247)),
inference(splitLeft,[status(thm)],[c_95101]) ).
tff(c_95624,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_95607,c_91837]) ).
tff(c_95626,plain,
! [U_3265,U_3266,U_3267] : is_a_theorem(or(or(or(U_3265,not(U_3265)),U_3266),U_3267)),
inference(splitRight,[status(thm)],[c_95101]) ).
tff(c_95651,plain,
! [U_3265,U_3266,X_1] :
( is_a_theorem(not(not(or(or(U_3265,not(U_3265)),U_3266))))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_95626,c_85979]) ).
tff(c_95868,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_95651]) ).
tff(c_95625,plain,
! [U_3248,U_3249,U_2873] : is_a_theorem(or(or(or(U_3248,not(U_3248)),U_3249),U_2873)),
inference(splitRight,[status(thm)],[c_95101]) ).
tff(c_96076,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_95868,c_95625]) ).
tff(c_96077,plain,
! [U_3265,U_3266] : is_a_theorem(not(not(or(or(U_3265,not(U_3265)),U_3266)))),
inference(splitRight,[status(thm)],[c_95651]) ).
tff(c_103691,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_103673,c_96077]) ).
tff(c_103693,plain,
! [U_3445,U_3446] : is_a_theorem(or(not(not(or(U_3445,not(U_3445)))),U_3446)),
inference(splitRight,[status(thm)],[c_101639]) ).
tff(c_103805,plain,
! [U_3445,X_1] :
( is_a_theorem(not(not(not(not(or(U_3445,not(U_3445)))))))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_103693,c_85979]) ).
tff(c_103959,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_103805]) ).
tff(c_5038,plain,
! [U_414,U_413,X_415,V_410,Z_411,Y_412] : is_a_theorem(or(not(or(not(U_413),or(Z_411,or(U_414,V_410)))),or(or(not(or(Z_411,or(U_414,V_410))),Y_412),or(not(or(not(U_414),X_415)),or(Z_411,or(V_410,X_415)))))),
inference(resolution,[status(thm)],[c_4,c_33]) ).
tff(c_72110,plain,
! [Z_2490,V_2492,U_2493,U_2494,Z_2489,X_2491,Y_2495] : is_a_theorem(or(not(or(not(U_2493),or(not(or(not(U_2494),X_2491)),or(Z_2490,or(V_2492,X_2491))))),or(Z_2489,or(or(not(or(Z_2490,or(U_2494,V_2492))),Y_2495),or(not(or(not(U_2494),X_2491)),or(Z_2490,or(V_2492,X_2491))))))),
inference(resolution,[status(thm)],[c_5038,c_67]) ).
tff(c_72213,plain,
! [Z_2490,V_2492,U_2493,U_2494,Z_2489,X_2491,Y_2495] : is_a_theorem(or(not(or(not(or(not(or(Z_2490,or(U_2494,V_2492))),Y_2495)),U_2493)),or(Z_2489,or(or(not(or(not(U_2494),X_2491)),or(Z_2490,or(V_2492,X_2491))),U_2493)))),
inference(resolution,[status(thm)],[c_72110,c_12]) ).
tff(c_104189,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_103959,c_72213]) ).
tff(c_104190,plain,
! [U_3445] : is_a_theorem(not(not(not(not(or(U_3445,not(U_3445))))))),
inference(splitRight,[status(thm)],[c_103805]) ).
tff(c_128752,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_128719,c_104190]) ).
tff(c_128753,plain,
! [U_3000,U_3001] :
( is_a_theorem(not(not(not(not(or(U_3000,U_3001))))))
| ~ is_a_theorem(U_3001) ),
inference(splitRight,[status(thm)],[c_118754]) ).
tff(c_138434,plain,
! [U_4114] : is_a_theorem(or(not(U_4114),U_4114)),
inference(splitRight,[status(thm)],[c_138074]) ).
tff(c_140102,plain,
! [U_4151,U_4152,U_4153] :
( is_a_theorem(or(U_4151,or(U_4152,U_4153)))
| ~ is_a_theorem(or(U_4153,U_4152)) ),
inference(resolution,[status(thm)],[c_138434,c_26516]) ).
tff(c_140351,plain,
! [U_4152,U_4153,X_1] :
( is_a_theorem(or(U_4152,U_4153))
| ~ is_a_theorem(X_1)
| ~ is_a_theorem(or(U_4153,U_4152)) ),
inference(resolution,[status(thm)],[c_140102,c_2]) ).
tff(c_140361,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_140351]) ).
tff(c_140727,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_140361,c_27104]) ).
tff(c_140729,plain,
! [U_4154,U_4155] :
( is_a_theorem(or(U_4154,U_4155))
| ~ is_a_theorem(or(U_4155,U_4154)) ),
inference(splitRight,[status(thm)],[c_140351]) ).
tff(c_141325,plain,
! [U_2917,U_2916] :
( is_a_theorem(or(not(not(U_2917)),U_2916))
| ~ is_a_theorem(or(U_2917,U_2916)) ),
inference(resolution,[status(thm)],[c_85700,c_140729]) ).
tff(c_143123,plain,
! [U_4208,U_4209] :
( is_a_theorem(or(not(not(U_4208)),U_4209))
| ~ is_a_theorem(or(U_4208,U_4209)) ),
inference(resolution,[status(thm)],[c_85700,c_140729]) ).
tff(c_143303,plain,
! [U_4210,U_4211] :
( is_a_theorem(U_4210)
| ~ is_a_theorem(not(U_4211))
| ~ is_a_theorem(or(U_4211,U_4210)) ),
inference(resolution,[status(thm)],[c_143123,c_2]) ).
tff(c_163317,plain,
! [U_4563,U_4564] :
( is_a_theorem(U_4563)
| ~ is_a_theorem(not(not(not(U_4564))))
| ~ is_a_theorem(or(U_4564,U_4563)) ),
inference(resolution,[status(thm)],[c_141325,c_143303]) ).
tff(c_167263,plain,
! [U_4590,U_4591,U_4592] :
( is_a_theorem(U_4590)
| ~ is_a_theorem(or(not(or(U_4591,U_4592)),U_4590))
| ~ is_a_theorem(U_4592) ),
inference(resolution,[status(thm)],[c_128753,c_163317]) ).
tff(c_169863,plain,
! [U_4607,X_4608,Z_4609,V_4610] :
( is_a_theorem(or(not(or(not(U_4607),X_4608)),or(Z_4609,or(V_4610,X_4608))))
| ~ is_a_theorem(or(Z_4609,or(U_4607,V_4610))) ),
inference(resolution,[status(thm)],[c_4,c_167263]) ).
tff(c_138032,plain,
! [U_4107,U_2873,X_4106] :
( is_a_theorem(or(or(not(U_4107),U_4107),U_2873))
| ~ is_a_theorem(not(X_4106)) ),
inference(resolution,[status(thm)],[c_137810,c_85951]) ).
tff(c_138667,plain,
! [X_4106] : ~ is_a_theorem(not(X_4106)),
inference(splitLeft,[status(thm)],[c_138032]) ).
tff(c_138870,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_138667,c_104190]) ).
tff(c_138872,plain,
! [U_4131,U_4132] : is_a_theorem(or(or(not(U_4131),U_4131),U_4132)),
inference(splitRight,[status(thm)],[c_138032]) ).
tff(c_85971,plain,
! [U_269,U_2930,U_268] :
( is_a_theorem(or(U_269,not(not(U_2930))))
| ~ is_a_theorem(U_268)
| ~ is_a_theorem(or(U_2930,not(U_268))) ),
inference(resolution,[status(thm)],[c_85859,c_2339]) ).
tff(c_138942,plain,
! [U_269,U_4131,U_268] :
( is_a_theorem(or(U_269,not(not(or(not(U_4131),U_4131)))))
| ~ is_a_theorem(U_268) ),
inference(resolution,[status(thm)],[c_138872,c_85971]) ).
tff(c_147242,plain,
! [U_268] : ~ is_a_theorem(U_268),
inference(splitLeft,[status(thm)],[c_138942]) ).
tff(c_27948,plain,
! [V_1323,Z_1321,Z_1324,V_1322,U_1327,X_1326,U_1325] : is_a_theorem(or(not(or(not(U_1327),or(not(or(not(U_1325),X_1326)),or(Z_1321,or(V_1322,X_1326))))),or(Z_1324,or(or(V_1323,or(not(U_1325),X_1326)),or(not(or(not(U_1325),X_1326)),or(Z_1321,or(V_1322,X_1326))))))),
inference(resolution,[status(thm)],[c_149,c_67]) ).
tff(c_96093,plain,
! [V_3276,Z_3278,Z_3277,X_3273,U_3275,V_3274,U_3272] : is_a_theorem(or(not(or(not(or(V_3276,or(not(U_3275),X_3273))),U_3272)),or(Z_3278,or(or(not(or(not(U_3275),X_3273)),or(Z_3277,or(V_3274,X_3273))),U_3272)))),
inference(resolution,[status(thm)],[c_27948,c_12]) ).
tff(c_97161,plain,
! [X_3307,Z_3313,U_3310,V_3308,V_3312,U_3311,Z_3309] :
( is_a_theorem(or(Z_3313,or(or(not(or(not(U_3311),X_3307)),or(Z_3309,or(V_3308,X_3307))),U_3310)))
| ~ is_a_theorem(or(not(or(V_3312,or(not(U_3311),X_3307))),U_3310)) ),
inference(resolution,[status(thm)],[c_96093,c_2]) ).
tff(c_97559,plain,
! [V_7,Z_3313,V_3308,U_3,U_3311,X_5,Z_3309] : is_a_theorem(or(Z_3313,or(or(not(or(not(U_3311),or(U_3,V_7))),or(Z_3309,or(V_3308,or(U_3,V_7)))),or(not(or(not(U_3),X_5)),or(not(U_3311),or(V_7,X_5)))))),
inference(resolution,[status(thm)],[c_4,c_97161]) ).
tff(c_147645,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_147242,c_97559]) ).
tff(c_147647,plain,
! [U_4311,U_4312] : is_a_theorem(or(U_4311,not(not(or(not(U_4312),U_4312))))),
inference(splitRight,[status(thm)],[c_138942]) ).
tff(c_140728,plain,
! [U_4152,U_4153] :
( is_a_theorem(or(U_4152,U_4153))
| ~ is_a_theorem(or(U_4153,U_4152)) ),
inference(splitRight,[status(thm)],[c_140351]) ).
tff(c_147896,plain,
! [U_4313,U_4314] : is_a_theorem(or(not(not(or(not(U_4313),U_4313))),U_4314)),
inference(resolution,[status(thm)],[c_147647,c_140728]) ).
tff(c_148049,plain,
! [U_4313,X_1] :
( is_a_theorem(not(not(not(not(or(not(U_4313),U_4313))))))
| ~ is_a_theorem(X_1) ),
inference(resolution,[status(thm)],[c_147896,c_85979]) ).
tff(c_157176,plain,
! [X_1] : ~ is_a_theorem(X_1),
inference(splitLeft,[status(thm)],[c_148049]) ).
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_22207,plain,
! [U_1087,U_1083,V_1086,X_1085,Y_1088,Z_1084] :
( is_a_theorem(or(or(not(or(Z_1084,or(U_1087,V_1086))),Y_1088),or(not(or(not(U_1087),X_1085)),or(Z_1084,or(V_1086,X_1085)))))
| ~ is_a_theorem(or(not(U_1083),or(Z_1084,or(U_1087,V_1086)))) ),
inference(resolution,[status(thm)],[c_5038,c_2]) ).
tff(c_22396,plain,
! [Z_21,Z_47,X_1085,Y_22,Y_1088,U_23] : 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_1088),or(not(or(not(not(or(not(U_23),Z_21))),X_1085)),or(Z_47,or(or(or(not(Z_21),Y_22),Z_21),X_1085))))),
inference(resolution,[status(thm)],[c_82,c_22207]) ).
tff(c_157622,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_157176,c_22396]) ).
tff(c_157623,plain,
! [U_4313] : is_a_theorem(not(not(not(not(or(not(U_4313),U_4313)))))),
inference(splitRight,[status(thm)],[c_148049]) ).
tff(c_163333,plain,
! [U_4563,U_4313] :
( is_a_theorem(U_4563)
| ~ is_a_theorem(or(not(or(not(U_4313),U_4313)),U_4563)) ),
inference(resolution,[status(thm)],[c_157623,c_163317]) ).
tff(c_207573,plain,
! [Z_5763,V_5764,X_5765] :
( is_a_theorem(or(Z_5763,or(V_5764,X_5765)))
| ~ is_a_theorem(or(Z_5763,or(X_5765,V_5764))) ),
inference(resolution,[status(thm)],[c_169863,c_163333]) ).
tff(c_208738,plain,
! [X_5765,V_5764] : is_a_theorem(or(not(or(X_5765,V_5764)),or(V_5764,X_5765))),
inference(resolution,[status(thm)],[c_138432,c_207573]) ).
tff(c_6,plain,
~ is_a_theorem(or(not(or(a,b)),or(b,a))),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_209204,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_208738,c_6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LCL003-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.11 % 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
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Thu Aug 3 13:41:21 EDT 2023
% 0.11/0.31 % CPUTime :
% 55.45/40.63 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 55.45/40.66
% 55.45/40.66 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 55.80/40.73
% 55.80/40.73 Inference rules
% 55.80/40.73 ----------------------
% 55.80/40.73 #Ref : 0
% 55.80/40.73 #Sup : 47395
% 55.80/40.73 #Fact : 0
% 55.80/40.73 #Define : 0
% 55.80/40.73 #Split : 182
% 55.80/40.73 #Chain : 0
% 55.80/40.73 #Close : 0
% 55.80/40.73
% 55.80/40.73 Ordering : KBO
% 55.80/40.73
% 55.80/40.73 Simplification rules
% 55.80/40.73 ----------------------
% 55.80/40.73 #Subsume : 22671
% 55.80/40.73 #Demod : 7128
% 55.80/40.73 #Tautology : 6914
% 55.80/40.73 #SimpNegUnit : 28332
% 55.80/40.73 #BackRed : 13403
% 55.80/40.73
% 55.80/40.73 #Partial instantiations: 0
% 55.80/40.73 #Strategies tried : 1
% 55.80/40.73
% 55.80/40.73 Timing (in seconds)
% 55.80/40.73 ----------------------
% 55.80/40.74 Preprocessing : 0.39
% 55.80/40.74 Parsing : 0.21
% 55.80/40.74 CNF conversion : 0.02
% 55.80/40.74 Main loop : 39.36
% 55.80/40.74 Inferencing : 3.40
% 55.80/40.74 Reduction : 12.60
% 55.80/40.74 Demodulation : 10.55
% 55.80/40.74 BG Simplification : 0.24
% 55.80/40.74 Subsumption : 18.19
% 55.80/40.74 Abstraction : 0.46
% 55.80/40.74 MUC search : 0.00
% 55.80/40.74 Cooper : 0.00
% 55.80/40.74 Total : 39.87
% 55.80/40.74 Index Insertion : 0.00
% 55.80/40.74 Index Deletion : 0.00
% 55.80/40.74 Index Matching : 0.00
% 55.80/40.74 BG Taut test : 0.00
%------------------------------------------------------------------------------