TSTP Solution File: LCL083-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LCL083-1 : 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/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n006.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 10:47:19 EDT 2023
% Result : Unsatisfiable 22.64s 13.15s
% Output : CNFRefutation 22.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 7
% Syntax : Number of formulae : 97 ( 68 unt; 4 typ; 0 def)
% Number of atoms : 120 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 63 ( 36 ~; 27 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 318 (; 318 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ is_a_theorem > implies > #nlpp > 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(implies,type,
implies: ( $i * $i ) > $i ).
tff(f_41,axiom,
! [X,Y,Z,U] : is_a_theorem(implies(implies(implies(X,Y),Z),implies(implies(Z,X),implies(U,X)))),
file(unknown,unknown) ).
tff(f_39,axiom,
! [X,Y] :
( ~ is_a_theorem(implies(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ),
file(unknown,unknown) ).
tff(f_43,axiom,
~ is_a_theorem(implies(implies(implies(a,b),a),a)),
file(unknown,unknown) ).
tff(c_4,plain,
! [X_3,Y_4,Z_5,U_6] : is_a_theorem(implies(implies(implies(X_3,Y_4),Z_5),implies(implies(Z_5,X_3),implies(U_6,X_3)))),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_8,plain,
! [X_9,Y_10,Z_11,U_12] : is_a_theorem(implies(implies(implies(X_9,Y_10),Z_11),implies(implies(Z_11,X_9),implies(U_12,X_9)))),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_2,plain,
! [Y_2,X_1] :
( is_a_theorem(Y_2)
| ~ is_a_theorem(X_1)
| ~ is_a_theorem(implies(X_1,Y_2)) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_13,plain,
! [Z_13,X_14,U_15,Y_16] :
( is_a_theorem(implies(implies(Z_13,X_14),implies(U_15,X_14)))
| ~ is_a_theorem(implies(implies(X_14,Y_16),Z_13)) ),
inference(resolution,[status(thm)],[c_8,c_2]) ).
tff(c_17,plain,
! [X_18,U_20,U_17,Y_21,Z_19] : is_a_theorem(implies(implies(implies(implies(Z_19,X_18),implies(U_20,X_18)),implies(X_18,Y_21)),implies(U_17,implies(X_18,Y_21)))),
inference(resolution,[status(thm)],[c_4,c_13]) ).
tff(c_12,plain,
! [Z_11,X_9,U_12,Y_10] :
( is_a_theorem(implies(implies(Z_11,X_9),implies(U_12,X_9)))
| ~ is_a_theorem(implies(implies(X_9,Y_10),Z_11)) ),
inference(resolution,[status(thm)],[c_8,c_2]) ).
tff(c_119,plain,
! [X_51,U_50,Z_53,Y_48,U_49,U_52] : is_a_theorem(implies(implies(implies(U_52,implies(X_51,Y_48)),implies(implies(Z_53,X_51),implies(U_49,X_51))),implies(U_50,implies(implies(Z_53,X_51),implies(U_49,X_51))))),
inference(resolution,[status(thm)],[c_17,c_12]) ).
tff(c_24,plain,
! [X_18,U_20,U_17,Y_21,Z_19] :
( is_a_theorem(implies(U_17,implies(X_18,Y_21)))
| ~ is_a_theorem(implies(implies(implies(Z_19,X_18),implies(U_20,X_18)),implies(X_18,Y_21))) ),
inference(resolution,[status(thm)],[c_17,c_2]) ).
tff(c_131,plain,
! [U_54,U_55,Z_56] : is_a_theorem(implies(U_54,implies(implies(U_55,U_55),implies(implies(Z_56,U_55),implies(U_55,U_55))))),
inference(resolution,[status(thm)],[c_119,c_24]) ).
tff(c_149,plain,
! [U_55,Z_56,U_54] :
( is_a_theorem(implies(implies(U_55,U_55),implies(implies(Z_56,U_55),implies(U_55,U_55))))
| ~ is_a_theorem(U_54) ),
inference(resolution,[status(thm)],[c_131,c_2]) ).
tff(c_150,plain,
! [U_54] : ~ is_a_theorem(U_54),
inference(splitLeft,[status(thm)],[c_149]) ).
tff(c_128,plain,
! [U_17,U_49,Z_53] : is_a_theorem(implies(U_17,implies(implies(U_49,U_49),implies(implies(Z_53,U_49),implies(U_49,U_49))))),
inference(resolution,[status(thm)],[c_119,c_24]) ).
tff(c_165,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_150,c_128]) ).
tff(c_202,plain,
! [U_61,Z_62] : is_a_theorem(implies(implies(U_61,U_61),implies(implies(Z_62,U_61),implies(U_61,U_61)))),
inference(splitRight,[status(thm)],[c_149]) ).
tff(c_208,plain,
! [Z_62,U_61,U_12] : is_a_theorem(implies(implies(implies(implies(Z_62,U_61),implies(U_61,U_61)),U_61),implies(U_12,U_61))),
inference(resolution,[status(thm)],[c_202,c_12]) ).
tff(c_16,plain,
! [X_3,Z_5,U_15,U_6,Y_4] : is_a_theorem(implies(implies(implies(implies(Z_5,X_3),implies(U_6,X_3)),implies(X_3,Y_4)),implies(U_15,implies(X_3,Y_4)))),
inference(resolution,[status(thm)],[c_4,c_13]) ).
tff(c_526,plain,
! [U_101,Y_102,U_103,X_105,Z_106,U_104] :
( is_a_theorem(implies(U_101,implies(implies(Z_106,X_105),implies(U_104,X_105))))
| ~ is_a_theorem(implies(implies(U_103,implies(X_105,Y_102)),implies(implies(Z_106,X_105),implies(U_104,X_105)))) ),
inference(resolution,[status(thm)],[c_119,c_2]) ).
tff(c_578,plain,
! [U_107,Z_108,Y_109] : is_a_theorem(implies(U_107,implies(implies(Z_108,Y_109),implies(Y_109,Y_109)))),
inference(resolution,[status(thm)],[c_16,c_526]) ).
tff(c_616,plain,
! [Z_108,Y_109,U_107] :
( is_a_theorem(implies(implies(Z_108,Y_109),implies(Y_109,Y_109)))
| ~ is_a_theorem(U_107) ),
inference(resolution,[status(thm)],[c_578,c_2]) ).
tff(c_618,plain,
! [U_107] : ~ is_a_theorem(U_107),
inference(splitLeft,[status(thm)],[c_616]) ).
tff(c_576,plain,
! [U_101,X_3,Y_102,U_6] : is_a_theorem(implies(U_101,implies(implies(implies(X_3,Y_102),X_3),implies(U_6,X_3)))),
inference(resolution,[status(thm)],[c_4,c_526]) ).
tff(c_687,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_618,c_576]) ).
tff(c_689,plain,
! [Z_114,Y_115] : is_a_theorem(implies(implies(Z_114,Y_115),implies(Y_115,Y_115))),
inference(splitRight,[status(thm)],[c_616]) ).
tff(c_710,plain,
! [Y_116,Z_117] :
( is_a_theorem(implies(Y_116,Y_116))
| ~ is_a_theorem(implies(Z_117,Y_116)) ),
inference(resolution,[status(thm)],[c_689,c_2]) ).
tff(c_782,plain,
! [U_118,U_119] : is_a_theorem(implies(implies(U_118,U_119),implies(U_118,U_119))),
inference(resolution,[status(thm)],[c_208,c_710]) ).
tff(c_1270,plain,
! [U_146,U_147,U_148] : is_a_theorem(implies(implies(implies(U_146,U_147),U_146),implies(U_148,U_146))),
inference(resolution,[status(thm)],[c_782,c_12]) ).
tff(c_3254,plain,
! [U_289,U_290,U_291,U_292] : is_a_theorem(implies(implies(implies(U_289,U_290),implies(U_290,U_291)),implies(U_292,implies(U_290,U_291)))),
inference(resolution,[status(thm)],[c_1270,c_12]) ).
tff(c_10074,plain,
! [U_554,U_558,U_557,U_556,U_555] : is_a_theorem(implies(implies(implies(U_555,implies(U_556,U_558)),implies(U_557,U_556)),implies(U_554,implies(U_557,U_556)))),
inference(resolution,[status(thm)],[c_3254,c_12]) ).
tff(c_10859,plain,
! [U_593,U_595,U_592,U_591,U_594] :
( is_a_theorem(implies(U_592,implies(U_595,U_594)))
| ~ is_a_theorem(implies(implies(U_593,implies(U_594,U_591)),implies(U_595,U_594))) ),
inference(resolution,[status(thm)],[c_10074,c_2]) ).
tff(c_11050,plain,
! [U_596,U_597,X_598,U_599] : is_a_theorem(implies(U_596,implies(implies(implies(implies(U_597,X_598),U_599),X_598),implies(U_597,X_598)))),
inference(resolution,[status(thm)],[c_4,c_10859]) ).
tff(c_11200,plain,
! [U_597,X_598,U_599,U_596] :
( is_a_theorem(implies(implies(implies(implies(U_597,X_598),U_599),X_598),implies(U_597,X_598)))
| ~ is_a_theorem(U_596) ),
inference(resolution,[status(thm)],[c_11050,c_2]) ).
tff(c_11201,plain,
! [U_596] : ~ is_a_theorem(U_596),
inference(splitLeft,[status(thm)],[c_11200]) ).
tff(c_11049,plain,
! [U_592,U_6,X_3,U_591] : is_a_theorem(implies(U_592,implies(implies(implies(implies(U_6,X_3),U_591),X_3),implies(U_6,X_3)))),
inference(resolution,[status(thm)],[c_4,c_10859]) ).
tff(c_11304,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_11201,c_11049]) ).
tff(c_11306,plain,
! [U_600,X_601,U_602] : is_a_theorem(implies(implies(implies(implies(U_600,X_601),U_602),X_601),implies(U_600,X_601))),
inference(splitRight,[status(thm)],[c_11200]) ).
tff(c_119791,plain,
! [U_2296,X_2297,U_2298,U_2299] : is_a_theorem(implies(implies(implies(U_2296,X_2297),implies(implies(U_2296,X_2297),U_2298)),implies(U_2299,implies(implies(U_2296,X_2297),U_2298)))),
inference(resolution,[status(thm)],[c_11306,c_12]) ).
tff(c_808,plain,
! [U_120,X_121,Y_122,U_123] : is_a_theorem(implies(U_120,implies(implies(implies(X_121,Y_122),X_121),implies(U_123,X_121)))),
inference(resolution,[status(thm)],[c_4,c_526]) ).
tff(c_3301,plain,
! [X_296,U_297,Y_294,X_293,U_295] : is_a_theorem(implies(implies(implies(implies(implies(X_296,Y_294),X_296),implies(U_297,X_296)),X_293),implies(U_295,X_293))),
inference(resolution,[status(thm)],[c_808,c_12]) ).
tff(c_3353,plain,
! [X_296,U_297,Y_294,X_293,U_295] :
( is_a_theorem(implies(U_295,X_293))
| ~ is_a_theorem(implies(implies(implies(implies(X_296,Y_294),X_296),implies(U_297,X_296)),X_293)) ),
inference(resolution,[status(thm)],[c_3301,c_2]) ).
tff(c_120101,plain,
! [U_295,U_2299,U_2298,Y_294] : is_a_theorem(implies(U_295,implies(U_2299,implies(implies(implies(U_2298,Y_294),U_2298),U_2298)))),
inference(resolution,[status(thm)],[c_119791,c_3353]) ).
tff(c_708,plain,
! [Y_115,Z_114,U_12] : is_a_theorem(implies(implies(implies(Y_115,Y_115),Z_114),implies(U_12,Z_114))),
inference(resolution,[status(thm)],[c_689,c_12]) ).
tff(c_853,plain,
! [Y_124,Z_125,U_126] : is_a_theorem(implies(implies(implies(Y_124,Y_124),Z_125),implies(U_126,Z_125))),
inference(resolution,[status(thm)],[c_689,c_12]) ).
tff(c_1019,plain,
! [U_134,Z_135,Y_136] :
( is_a_theorem(implies(U_134,Z_135))
| ~ is_a_theorem(implies(implies(Y_136,Y_136),Z_135)) ),
inference(resolution,[status(thm)],[c_853,c_2]) ).
tff(c_1188,plain,
! [U_140,U_141,Y_142] : is_a_theorem(implies(U_140,implies(U_141,implies(Y_142,Y_142)))),
inference(resolution,[status(thm)],[c_708,c_1019]) ).
tff(c_2004,plain,
! [U_209,Y_210,X_211,U_212] : is_a_theorem(implies(implies(implies(U_209,implies(Y_210,Y_210)),X_211),implies(U_212,X_211))),
inference(resolution,[status(thm)],[c_1188,c_12]) ).
tff(c_2115,plain,
! [U_226,X_227,U_228,Y_229] :
( is_a_theorem(implies(U_226,X_227))
| ~ is_a_theorem(implies(implies(U_228,implies(Y_229,Y_229)),X_227)) ),
inference(resolution,[status(thm)],[c_2004,c_2]) ).
tff(c_2420,plain,
! [U_242,Y_243,X_244,U_245] : is_a_theorem(implies(U_242,implies(implies(implies(Y_243,Y_243),X_244),implies(U_245,X_244)))),
inference(resolution,[status(thm)],[c_4,c_2115]) ).
tff(c_14066,plain,
! [Y_662,U_665,X_663,U_664,X_661] : is_a_theorem(implies(implies(implies(implies(implies(Y_662,Y_662),X_661),implies(U_664,X_661)),X_663),implies(U_665,X_663))),
inference(resolution,[status(thm)],[c_2420,c_12]) ).
tff(c_14212,plain,
! [Y_662,U_665,X_663,U_664,X_661] :
( is_a_theorem(implies(U_665,X_663))
| ~ is_a_theorem(implies(implies(implies(implies(Y_662,Y_662),X_661),implies(U_664,X_661)),X_663)) ),
inference(resolution,[status(thm)],[c_14066,c_2]) ).
tff(c_120131,plain,
! [U_2300,U_2301,Y_2302,U_2303] : is_a_theorem(implies(U_2300,implies(U_2301,implies(implies(implies(Y_2302,Y_2302),U_2303),U_2303)))),
inference(resolution,[status(thm)],[c_119791,c_14212]) ).
tff(c_120656,plain,
! [U_2301,Y_2302,U_2303,U_2300] :
( is_a_theorem(implies(U_2301,implies(implies(implies(Y_2302,Y_2302),U_2303),U_2303)))
| ~ is_a_theorem(U_2300) ),
inference(resolution,[status(thm)],[c_120131,c_2]) ).
tff(c_121625,plain,
! [U_2300] : ~ is_a_theorem(U_2300),
inference(splitLeft,[status(thm)],[c_120656]) ).
tff(c_267,plain,
! [X_79,U_78,U_77,U_74,U_76,Z_80,Y_75] : is_a_theorem(implies(implies(implies(U_74,implies(implies(Z_80,X_79),implies(U_78,X_79))),implies(U_76,implies(X_79,Y_75))),implies(U_77,implies(U_76,implies(X_79,Y_75))))),
inference(resolution,[status(thm)],[c_119,c_12]) ).
tff(c_1673,plain,
! [U_183,U_179,U_178,U_181,X_182,Y_180,Z_177] :
( is_a_theorem(implies(U_179,implies(U_183,implies(X_182,Y_180))))
| ~ is_a_theorem(implies(implies(U_181,implies(implies(Z_177,X_182),implies(U_178,X_182))),implies(U_183,implies(X_182,Y_180)))) ),
inference(resolution,[status(thm)],[c_267,c_2]) ).
tff(c_2994,plain,
! [U_271,Z_275,U_274,U_272,X_273] : is_a_theorem(implies(U_272,implies(implies(implies(implies(Z_275,U_274),implies(U_271,U_274)),X_273),implies(U_274,X_273)))),
inference(resolution,[status(thm)],[c_4,c_1673]) ).
tff(c_3062,plain,
! [U_271,Z_275,U_274,U_272,X_273] :
( is_a_theorem(implies(implies(implies(implies(Z_275,U_274),implies(U_271,U_274)),X_273),implies(U_274,X_273)))
| ~ is_a_theorem(U_272) ),
inference(resolution,[status(thm)],[c_2994,c_2]) ).
tff(c_7066,plain,
! [U_272] : ~ is_a_theorem(U_272),
inference(splitLeft,[status(thm)],[c_3062]) ).
tff(c_887,plain,
! [U_127,U_128,U_129] : is_a_theorem(implies(U_127,implies(U_128,implies(U_129,U_128)))),
inference(resolution,[status(thm)],[c_853,c_24]) ).
tff(c_1587,plain,
! [U_169,U_170,X_171,U_172] : is_a_theorem(implies(implies(implies(U_169,implies(U_170,U_169)),X_171),implies(U_172,X_171))),
inference(resolution,[status(thm)],[c_887,c_12]) ).
tff(c_1727,plain,
! [U_184,X_185,U_186,U_187] :
( is_a_theorem(implies(U_184,X_185))
| ~ is_a_theorem(implies(implies(U_186,implies(U_187,U_186)),X_185)) ),
inference(resolution,[status(thm)],[c_1587,c_2]) ).
tff(c_1806,plain,
! [U_188,U_189,U_190,Y_191] : is_a_theorem(implies(U_188,implies(U_189,implies(U_190,implies(Y_191,Y_191))))),
inference(resolution,[status(thm)],[c_708,c_1727]) ).
tff(c_4263,plain,
! [U_337,X_336,U_338,Y_340,U_339] : is_a_theorem(implies(implies(implies(U_337,implies(U_339,implies(Y_340,Y_340))),X_336),implies(U_338,X_336))),
inference(resolution,[status(thm)],[c_1806,c_12]) ).
tff(c_4411,plain,
! [X_348,U_350,U_349,Y_347,U_346] :
( is_a_theorem(implies(U_350,X_348))
| ~ is_a_theorem(implies(implies(U_349,implies(U_346,implies(Y_347,Y_347))),X_348)) ),
inference(resolution,[status(thm)],[c_4263,c_2]) ).
tff(c_4604,plain,
! [U_350,X_3,Y_347,U_6,U_346] : is_a_theorem(implies(U_350,implies(implies(implies(U_346,implies(Y_347,Y_347)),X_3),implies(U_6,X_3)))),
inference(resolution,[status(thm)],[c_4,c_4411]) ).
tff(c_7143,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_7066,c_4604]) ).
tff(c_7145,plain,
! [Z_450,U_451,U_452,X_453] : is_a_theorem(implies(implies(implies(implies(Z_450,U_451),implies(U_452,U_451)),X_453),implies(U_451,X_453))),
inference(splitRight,[status(thm)],[c_3062]) ).
tff(c_7234,plain,
! [U_454,U_455,U_456,U_457] : is_a_theorem(implies(U_454,implies(U_455,implies(U_456,implies(U_457,U_455))))),
inference(resolution,[status(thm)],[c_7145,c_3353]) ).
tff(c_7354,plain,
! [U_455,U_456,U_457,U_454] :
( is_a_theorem(implies(U_455,implies(U_456,implies(U_457,U_455))))
| ~ is_a_theorem(U_454) ),
inference(resolution,[status(thm)],[c_7234,c_2]) ).
tff(c_7355,plain,
! [U_454] : ~ is_a_theorem(U_454),
inference(splitLeft,[status(thm)],[c_7354]) ).
tff(c_7203,plain,
! [U_295,U_451,U_297,U_452] : is_a_theorem(implies(U_295,implies(U_451,implies(U_297,implies(U_452,U_451))))),
inference(resolution,[status(thm)],[c_7145,c_3353]) ).
tff(c_7433,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_7355,c_7203]) ).
tff(c_7434,plain,
! [U_455,U_456,U_457] : is_a_theorem(implies(U_455,implies(U_456,implies(U_457,U_455)))),
inference(splitRight,[status(thm)],[c_7354]) ).
tff(c_2041,plain,
! [Z_213,U_220,U_218,U_215,U_214,X_219,Y_217,U_216] : is_a_theorem(implies(implies(implies(U_216,implies(U_220,implies(X_219,Y_217))),implies(U_218,implies(implies(Z_213,X_219),implies(U_214,X_219)))),implies(U_215,implies(U_218,implies(implies(Z_213,X_219),implies(U_214,X_219)))))),
inference(resolution,[status(thm)],[c_267,c_12]) ).
tff(c_5406,plain,
! [U_394,Y_395,U_390,U_391,X_392,U_388,U_396,U_389,Z_393] : is_a_theorem(implies(implies(implies(U_390,implies(U_396,implies(implies(Z_393,X_392),implies(U_394,X_392)))),implies(U_389,implies(U_388,implies(X_392,Y_395)))),implies(U_391,implies(U_389,implies(U_388,implies(X_392,Y_395)))))),
inference(resolution,[status(thm)],[c_2041,c_12]) ).
tff(c_17632,plain,
! [U_745,U_741,U_746,X_748,U_747,Z_744,Y_743,U_740,U_742] :
( is_a_theorem(implies(U_742,implies(U_740,implies(U_745,implies(X_748,Y_743)))))
| ~ is_a_theorem(implies(implies(U_741,implies(U_746,implies(implies(Z_744,X_748),implies(U_747,X_748)))),implies(U_740,implies(U_745,implies(X_748,Y_743))))) ),
inference(resolution,[status(thm)],[c_5406,c_2]) ).
tff(c_37970,plain,
! [U_1183,Z_1185,U_1189,U_1186,U_1188,U_1187,U_1184] : is_a_theorem(implies(U_1186,implies(U_1183,implies(U_1184,implies(U_1189,implies(U_1188,implies(implies(Z_1185,U_1189),implies(U_1187,U_1189)))))))),
inference(resolution,[status(thm)],[c_7434,c_17632]) ).
tff(c_38285,plain,
! [U_1183,Z_1185,U_1189,U_1188,U_12,U_1187,X_9,U_1184] : is_a_theorem(implies(implies(implies(U_1183,implies(U_1184,implies(U_1189,implies(U_1188,implies(implies(Z_1185,U_1189),implies(U_1187,U_1189)))))),X_9),implies(U_12,X_9))),
inference(resolution,[status(thm)],[c_37970,c_12]) ).
tff(c_121949,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_121625,c_38285]) ).
tff(c_121951,plain,
! [U_2316,Y_2317,U_2318] : is_a_theorem(implies(U_2316,implies(implies(implies(Y_2317,Y_2317),U_2318),U_2318))),
inference(splitRight,[status(thm)],[c_120656]) ).
tff(c_122494,plain,
! [Y_2317,U_2318,U_2316] :
( is_a_theorem(implies(implies(implies(Y_2317,Y_2317),U_2318),U_2318))
| ~ is_a_theorem(U_2316) ),
inference(resolution,[status(thm)],[c_121951,c_2]) ).
tff(c_122495,plain,
! [U_2316] : ~ is_a_theorem(U_2316),
inference(splitLeft,[status(thm)],[c_122494]) ).
tff(c_121950,plain,
! [U_2301,Y_2302,U_2303] : is_a_theorem(implies(U_2301,implies(implies(implies(Y_2302,Y_2302),U_2303),U_2303))),
inference(splitRight,[status(thm)],[c_120656]) ).
tff(c_122820,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_122495,c_121950]) ).
tff(c_122822,plain,
! [Y_2319,U_2320] : is_a_theorem(implies(implies(implies(Y_2319,Y_2319),U_2320),U_2320)),
inference(splitRight,[status(thm)],[c_122494]) ).
tff(c_123231,plain,
! [U_2321,Y_2322] :
( is_a_theorem(U_2321)
| ~ is_a_theorem(implies(implies(Y_2322,Y_2322),U_2321)) ),
inference(resolution,[status(thm)],[c_122822,c_2]) ).
tff(c_124324,plain,
! [U_2323,U_2324,Y_2325] : is_a_theorem(implies(U_2323,implies(implies(implies(U_2324,Y_2325),U_2324),U_2324))),
inference(resolution,[status(thm)],[c_120101,c_123231]) ).
tff(c_123230,plain,
! [U_2320,Y_2319] :
( is_a_theorem(U_2320)
| ~ is_a_theorem(implies(implies(Y_2319,Y_2319),U_2320)) ),
inference(resolution,[status(thm)],[c_122822,c_2]) ).
tff(c_124672,plain,
! [U_2324,Y_2325] : is_a_theorem(implies(implies(implies(U_2324,Y_2325),U_2324),U_2324)),
inference(resolution,[status(thm)],[c_124324,c_123230]) ).
tff(c_6,plain,
~ is_a_theorem(implies(implies(implies(a,b),a),a)),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_124875,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_124672,c_6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : LCL083-1 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.37 % Computer : n006.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.38 % CPULimit : 300
% 0.14/0.38 % WCLimit : 300
% 0.14/0.38 % DateTime : Thu Aug 3 13:51:13 EDT 2023
% 0.14/0.38 % CPUTime :
% 22.64/13.15 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.64/13.16
% 22.64/13.16 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 22.64/13.21
% 22.64/13.21 Inference rules
% 22.64/13.21 ----------------------
% 22.64/13.21 #Ref : 0
% 22.64/13.21 #Sup : 25821
% 22.64/13.21 #Fact : 0
% 22.64/13.21 #Define : 0
% 22.64/13.21 #Split : 33
% 22.64/13.21 #Chain : 0
% 22.64/13.21 #Close : 0
% 22.64/13.21
% 22.64/13.21 Ordering : KBO
% 22.64/13.21
% 22.64/13.21 Simplification rules
% 22.64/13.21 ----------------------
% 22.64/13.21 #Subsume : 4927
% 22.64/13.21 #Demod : 15776
% 22.64/13.21 #Tautology : 15756
% 22.64/13.21 #SimpNegUnit : 5861
% 22.64/13.21 #BackRed : 3298
% 22.64/13.21
% 22.64/13.21 #Partial instantiations: 0
% 22.64/13.21 #Strategies tried : 1
% 22.64/13.21
% 22.64/13.21 Timing (in seconds)
% 22.64/13.21 ----------------------
% 22.64/13.22 Preprocessing : 0.39
% 22.64/13.22 Parsing : 0.22
% 22.64/13.22 CNF conversion : 0.02
% 22.64/13.22 Main loop : 11.71
% 22.64/13.22 Inferencing : 1.36
% 22.64/13.22 Reduction : 4.73
% 22.64/13.22 Demodulation : 4.22
% 22.64/13.22 BG Simplification : 0.08
% 22.64/13.22 Subsumption : 4.91
% 22.64/13.22 Abstraction : 0.14
% 22.64/13.22 MUC search : 0.00
% 22.64/13.22 Cooper : 0.00
% 22.64/13.22 Total : 12.18
% 22.64/13.22 Index Insertion : 0.00
% 22.64/13.22 Index Deletion : 0.00
% 22.64/13.22 Index Matching : 0.00
% 22.64/13.22 BG Taut test : 0.00
%------------------------------------------------------------------------------