TSTP Solution File: LCL405-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LCL405-1 : TPTP v8.1.2. Released v2.3.0.
% 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 : n014.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 10:48:02 EDT 2023
% Result : Unsatisfiable 65.33s 52.12s
% Output : CNFRefutation 65.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 10
% Syntax : Number of formulae : 98 ( 33 unt; 5 typ; 0 def)
% Number of atoms : 172 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 161 ( 82 ~; 79 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 6 ( 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 : 241 (; 241 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ is_a_theorem > implies > #nlpp > not > y > x
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(x,type,
x: $i ).
tff(is_a_theorem,type,
is_a_theorem: $i > $o ).
tff(y,type,
y: $i ).
tff(not,type,
not: $i > $i ).
tff(implies,type,
implies: ( $i * $i ) > $i ).
tff(f_38,axiom,
! [X,Y] : is_a_theorem(implies(X,implies(not(X),Y))),
file(unknown,unknown) ).
tff(f_36,axiom,
! [X] : is_a_theorem(implies(implies(not(X),X),X)),
file(unknown,unknown) ).
tff(f_34,axiom,
! [X,Y,Z] : is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))),
file(unknown,unknown) ).
tff(f_32,axiom,
! [X,Y] :
( ~ is_a_theorem(implies(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ),
file(unknown,unknown) ).
tff(f_40,axiom,
~ is_a_theorem(not(implies(implies(x,x),not(implies(y,y))))),
file(unknown,unknown) ).
tff(c_8,plain,
! [X_7,Y_8] : is_a_theorem(implies(X_7,implies(not(X_7),Y_8))),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_6,plain,
! [X_6] : is_a_theorem(implies(implies(not(X_6),X_6),X_6)),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_35,plain,
! [X_18,Y_19,Z_20] : is_a_theorem(implies(implies(X_18,Y_19),implies(implies(Y_19,Z_20),implies(X_18,Z_20)))),
inference(cnfTransformation,[status(thm)],[f_34]) ).
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_32]) ).
tff(c_40,plain,
! [Y_21,Z_22,X_23] :
( is_a_theorem(implies(implies(Y_21,Z_22),implies(X_23,Z_22)))
| ~ is_a_theorem(implies(X_23,Y_21)) ),
inference(resolution,[status(thm)],[c_35,c_2]) ).
tff(c_45,plain,
! [X_24,Z_25,Y_26] :
( is_a_theorem(implies(X_24,Z_25))
| ~ is_a_theorem(implies(Y_26,Z_25))
| ~ is_a_theorem(implies(X_24,Y_26)) ),
inference(resolution,[status(thm)],[c_40,c_2]) ).
tff(c_83,plain,
! [X_33,X_34] :
( is_a_theorem(implies(X_33,X_34))
| ~ is_a_theorem(implies(X_33,implies(not(X_34),X_34))) ),
inference(resolution,[status(thm)],[c_6,c_45]) ).
tff(c_108,plain,
! [Y_8] : is_a_theorem(implies(Y_8,Y_8)),
inference(resolution,[status(thm)],[c_8,c_83]) ).
tff(c_39,plain,
! [Y_19,Z_20,X_18] :
( is_a_theorem(implies(implies(Y_19,Z_20),implies(X_18,Z_20)))
| ~ is_a_theorem(implies(X_18,Y_19)) ),
inference(resolution,[status(thm)],[c_35,c_2]) ).
tff(c_70,plain,
! [X_30,X_31,Y_32] :
( is_a_theorem(implies(X_30,implies(not(X_31),Y_32)))
| ~ is_a_theorem(implies(X_30,X_31)) ),
inference(resolution,[status(thm)],[c_8,c_45]) ).
tff(c_174,plain,
! [X_44,Y_45,X_46] :
( is_a_theorem(implies(not(X_44),Y_45))
| ~ is_a_theorem(X_46)
| ~ is_a_theorem(implies(X_46,X_44)) ),
inference(resolution,[status(thm)],[c_70,c_2]) ).
tff(c_8404,plain,
! [X_396,Z_397,Y_398,Y_399] :
( is_a_theorem(implies(not(implies(X_396,Z_397)),Y_398))
| ~ is_a_theorem(implies(Y_399,Z_397))
| ~ is_a_theorem(implies(X_396,Y_399)) ),
inference(resolution,[status(thm)],[c_39,c_174]) ).
tff(c_9878,plain,
! [X_443,X_444,Y_445] :
( is_a_theorem(implies(not(implies(X_443,X_444)),Y_445))
| ~ is_a_theorem(implies(X_443,implies(not(X_444),X_444))) ),
inference(resolution,[status(thm)],[c_6,c_8404]) ).
tff(c_13673,plain,
! [X_516,Y_517] : is_a_theorem(implies(not(implies(implies(not(X_516),X_516),X_516)),Y_517)),
inference(resolution,[status(thm)],[c_108,c_9878]) ).
tff(c_13,plain,
! [Y_12,X_13] :
( is_a_theorem(Y_12)
| ~ is_a_theorem(X_13)
| ~ is_a_theorem(implies(X_13,Y_12)) ),
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_21,plain,
! [X_7,Y_8] :
( is_a_theorem(implies(not(X_7),Y_8))
| ~ is_a_theorem(X_7) ),
inference(resolution,[status(thm)],[c_8,c_13]) ).
tff(c_255,plain,
! [X_55,X_56,Z_57,Y_58] :
( is_a_theorem(implies(X_55,implies(X_56,Z_57)))
| ~ is_a_theorem(implies(X_55,implies(Y_58,Z_57)))
| ~ is_a_theorem(implies(X_56,Y_58)) ),
inference(resolution,[status(thm)],[c_39,c_45]) ).
tff(c_295,plain,
! [X_59,X_60,Y_61] :
( is_a_theorem(implies(X_59,implies(X_60,Y_61)))
| ~ is_a_theorem(implies(X_60,not(X_59))) ),
inference(resolution,[status(thm)],[c_8,c_255]) ).
tff(c_321,plain,
! [X_62,X_63,Y_64] :
( is_a_theorem(implies(X_62,implies(not(X_63),Y_64)))
| ~ is_a_theorem(X_63) ),
inference(resolution,[status(thm)],[c_21,c_295]) ).
tff(c_59,plain,
! [X_24,X_6] :
( is_a_theorem(implies(X_24,X_6))
| ~ is_a_theorem(implies(X_24,implies(not(X_6),X_6))) ),
inference(resolution,[status(thm)],[c_6,c_45]) ).
tff(c_349,plain,
! [X_65,Y_66] :
( is_a_theorem(implies(X_65,Y_66))
| ~ is_a_theorem(Y_66) ),
inference(resolution,[status(thm)],[c_321,c_59]) ).
tff(c_385,plain,
! [X_65,X_6] :
( is_a_theorem(implies(X_65,X_6))
| ~ is_a_theorem(implies(not(X_6),X_6)) ),
inference(resolution,[status(thm)],[c_349,c_59]) ).
tff(c_13885,plain,
! [X_65,X_516] : is_a_theorem(implies(X_65,implies(implies(not(X_516),X_516),X_516))),
inference(resolution,[status(thm)],[c_13673,c_385]) ).
tff(c_4,plain,
! [X_3,Y_4,Z_5] : is_a_theorem(implies(implies(X_3,Y_4),implies(implies(Y_4,Z_5),implies(X_3,Z_5)))),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_2270,plain,
! [X_184,Y_185,X_186,Z_187] :
( is_a_theorem(implies(implies(X_184,Y_185),implies(X_186,implies(X_184,Z_187))))
| ~ is_a_theorem(implies(X_186,implies(Y_185,Z_187))) ),
inference(resolution,[status(thm)],[c_4,c_255]) ).
tff(c_16010,plain,
! [X_551,Y_552,Z_553] :
( is_a_theorem(implies(implies(X_551,Y_552),implies(X_551,Z_553)))
| ~ is_a_theorem(implies(not(implies(X_551,Z_553)),implies(Y_552,Z_553))) ),
inference(resolution,[status(thm)],[c_2270,c_59]) ).
tff(c_16151,plain,
! [X_551,X_516] : is_a_theorem(implies(implies(X_551,implies(not(X_516),X_516)),implies(X_551,X_516))),
inference(resolution,[status(thm)],[c_13885,c_16010]) ).
tff(c_57,plain,
! [X_24,Y_4,Z_5,X_3] :
( is_a_theorem(implies(X_24,implies(implies(Y_4,Z_5),implies(X_3,Z_5))))
| ~ is_a_theorem(implies(X_24,implies(X_3,Y_4))) ),
inference(resolution,[status(thm)],[c_4,c_45]) ).
tff(c_4560,plain,
! [X_282,Y_286,X_283,Z_285,X_284] :
( is_a_theorem(implies(X_282,implies(X_283,implies(X_284,Z_285))))
| ~ is_a_theorem(implies(X_283,implies(Y_286,Z_285)))
| ~ is_a_theorem(implies(X_282,implies(X_284,Y_286))) ),
inference(resolution,[status(thm)],[c_57,c_255]) ).
tff(c_11601,plain,
! [X_470,X_471,X_472,Y_473] :
( is_a_theorem(implies(X_470,implies(X_471,implies(X_472,Y_473))))
| ~ is_a_theorem(implies(X_470,implies(X_472,not(X_471)))) ),
inference(resolution,[status(thm)],[c_8,c_4560]) ).
tff(c_11838,plain,
! [X_7,X_471,Y_473] : is_a_theorem(implies(X_7,implies(X_471,implies(not(X_7),Y_473)))),
inference(resolution,[status(thm)],[c_8,c_11601]) ).
tff(c_127,plain,
! [X_36,Y_37,Z_38,X_39] :
( is_a_theorem(implies(X_36,implies(implies(Y_37,Z_38),implies(X_39,Z_38))))
| ~ is_a_theorem(implies(X_36,implies(X_39,Y_37))) ),
inference(resolution,[status(thm)],[c_4,c_45]) ).
tff(c_139,plain,
! [Y_37,Z_38,X_39,X_36] :
( is_a_theorem(implies(implies(Y_37,Z_38),implies(X_39,Z_38)))
| ~ is_a_theorem(X_36)
| ~ is_a_theorem(implies(X_36,implies(X_39,Y_37))) ),
inference(resolution,[status(thm)],[c_127,c_2]) ).
tff(c_42076,plain,
! [Y_1020,X_1023,Z_1022,X_1021,Z_1019] :
( is_a_theorem(implies(implies(implies(X_1021,Z_1022),Z_1019),implies(X_1023,Z_1019)))
| ~ is_a_theorem(implies(X_1021,Y_1020))
| ~ is_a_theorem(implies(X_1023,implies(Y_1020,Z_1022))) ),
inference(resolution,[status(thm)],[c_2270,c_139]) ).
tff(c_52158,plain,
! [Z_1143,Z_1146,Y_1142,X_1145,X_1144] :
( is_a_theorem(implies(implies(implies(X_1145,Z_1146),Z_1143),implies(X_1144,Z_1143)))
| ~ is_a_theorem(implies(X_1144,implies(implies(not(X_1145),Y_1142),Z_1146))) ),
inference(resolution,[status(thm)],[c_8,c_42076]) ).
tff(c_153586,plain,
! [X_2212,X_2213,Y_2214,Z_2215] : is_a_theorem(implies(implies(implies(X_2212,implies(not(X_2213),Y_2214)),Z_2215),implies(X_2213,Z_2215))),
inference(resolution,[status(thm)],[c_11838,c_52158]) ).
tff(c_345,plain,
! [X_62,Y_64] :
( is_a_theorem(implies(X_62,Y_64))
| ~ is_a_theorem(Y_64) ),
inference(resolution,[status(thm)],[c_321,c_59]) ).
tff(c_157,plain,
! [Y_42,Z_43] :
( is_a_theorem(implies(implies(Y_42,Z_43),Z_43))
| ~ is_a_theorem(implies(not(Z_43),Y_42)) ),
inference(resolution,[status(thm)],[c_39,c_83]) ).
tff(c_565,plain,
! [Z_84,Y_85] :
( is_a_theorem(Z_84)
| ~ is_a_theorem(implies(Y_85,Z_84))
| ~ is_a_theorem(implies(not(Z_84),Y_85)) ),
inference(resolution,[status(thm)],[c_157,c_2]) ).
tff(c_611,plain,
! [Z_84,Y_64] :
( is_a_theorem(Z_84)
| ~ is_a_theorem(implies(Y_64,Z_84))
| ~ is_a_theorem(Y_64) ),
inference(resolution,[status(thm)],[c_345,c_565]) ).
tff(c_165806,plain,
! [X_2292,Z_2293,X_2294,Y_2295] :
( is_a_theorem(implies(X_2292,Z_2293))
| ~ is_a_theorem(implies(implies(X_2294,implies(not(X_2292),Y_2295)),Z_2293)) ),
inference(resolution,[status(thm)],[c_153586,c_611]) ).
tff(c_166987,plain,
! [X_2296,X_2297] : is_a_theorem(implies(X_2296,implies(X_2297,X_2296))),
inference(resolution,[status(thm)],[c_16151,c_165806]) ).
tff(c_4713,plain,
! [X_282,X_7,X_284,Y_8] :
( is_a_theorem(implies(X_282,implies(X_7,implies(X_284,Y_8))))
| ~ is_a_theorem(implies(X_282,implies(X_284,not(X_7)))) ),
inference(resolution,[status(thm)],[c_8,c_4560]) ).
tff(c_168427,plain,
! [X_2310,X_2311,Y_2312] : is_a_theorem(implies(not(X_2310),implies(X_2310,implies(X_2311,Y_2312)))),
inference(resolution,[status(thm)],[c_166987,c_4713]) ).
tff(c_504,plain,
! [X_78] : is_a_theorem(implies(implies(not(implies(not(X_78),X_78)),implies(not(X_78),X_78)),X_78)),
inference(resolution,[status(thm)],[c_6,c_83]) ).
tff(c_44,plain,
! [X_23,Z_22,Y_21] :
( is_a_theorem(implies(X_23,Z_22))
| ~ is_a_theorem(implies(Y_21,Z_22))
| ~ is_a_theorem(implies(X_23,Y_21)) ),
inference(resolution,[status(thm)],[c_40,c_2]) ).
tff(c_530,plain,
! [X_23,X_78] :
( is_a_theorem(implies(X_23,X_78))
| ~ is_a_theorem(implies(X_23,implies(not(implies(not(X_78),X_78)),implies(not(X_78),X_78)))) ),
inference(resolution,[status(thm)],[c_504,c_44]) ).
tff(c_171572,plain,
! [Y_2336] : is_a_theorem(implies(not(not(implies(not(Y_2336),Y_2336))),Y_2336)),
inference(resolution,[status(thm)],[c_168427,c_530]) ).
tff(c_105,plain,
! [Y_19,Z_20] :
( is_a_theorem(implies(implies(Y_19,Z_20),Z_20))
| ~ is_a_theorem(implies(not(Z_20),Y_19)) ),
inference(resolution,[status(thm)],[c_39,c_83]) ).
tff(c_2780,plain,
! [Y_216,Z_217,X_218,X_219] :
( is_a_theorem(implies(implies(Y_216,Z_217),implies(X_218,Z_217)))
| ~ is_a_theorem(implies(X_218,X_219))
| ~ is_a_theorem(implies(X_219,Y_216)) ),
inference(resolution,[status(thm)],[c_39,c_255]) ).
tff(c_3278,plain,
! [Y_238,Z_239,X_240,Y_241] :
( is_a_theorem(implies(implies(Y_238,Z_239),implies(X_240,Z_239)))
| ~ is_a_theorem(implies(implies(not(X_240),Y_241),Y_238)) ),
inference(resolution,[status(thm)],[c_8,c_2780]) ).
tff(c_3700,plain,
! [X_252,Y_253,Z_254] : is_a_theorem(implies(implies(implies(not(X_252),Y_253),Z_254),implies(X_252,Z_254))),
inference(resolution,[status(thm)],[c_108,c_3278]) ).
tff(c_3925,plain,
! [X_262,Z_263,Y_264] :
( is_a_theorem(implies(X_262,Z_263))
| ~ is_a_theorem(implies(implies(not(X_262),Y_264),Z_263)) ),
inference(resolution,[status(thm)],[c_3700,c_611]) ).
tff(c_4083,plain,
! [X_262,Z_20] :
( is_a_theorem(implies(X_262,Z_20))
| ~ is_a_theorem(implies(not(Z_20),not(X_262))) ),
inference(resolution,[status(thm)],[c_105,c_3925]) ).
tff(c_183593,plain,
! [X_2423] : is_a_theorem(implies(X_2423,not(implies(not(not(X_2423)),not(X_2423))))),
inference(resolution,[status(thm)],[c_171572,c_4083]) ).
tff(c_1432,plain,
! [X_131,X_132,Y_133,X_134] :
( is_a_theorem(implies(X_131,implies(not(X_132),Y_133)))
| ~ is_a_theorem(implies(X_131,X_134))
| ~ is_a_theorem(implies(X_134,X_132)) ),
inference(resolution,[status(thm)],[c_70,c_44]) ).
tff(c_2007,plain,
! [X_169,X_170,Y_171,Y_172] :
( is_a_theorem(implies(X_169,implies(not(X_170),Y_171)))
| ~ is_a_theorem(implies(implies(not(X_169),Y_172),X_170)) ),
inference(resolution,[status(thm)],[c_8,c_1432]) ).
tff(c_2084,plain,
! [X_169,Y_172,Y_171] : is_a_theorem(implies(X_169,implies(not(implies(not(X_169),Y_172)),Y_171))),
inference(resolution,[status(thm)],[c_108,c_2007]) ).
tff(c_7614,plain,
! [X_383,Z_384,Y_385] :
( is_a_theorem(implies(X_383,Z_384))
| ~ is_a_theorem(implies(X_383,implies(Y_385,Z_384)))
| ~ is_a_theorem(implies(not(Z_384),Y_385)) ),
inference(resolution,[status(thm)],[c_157,c_44]) ).
tff(c_7771,plain,
! [X_169,Y_171,Y_172] :
( is_a_theorem(implies(X_169,Y_171))
| ~ is_a_theorem(implies(not(Y_171),not(implies(not(X_169),Y_172)))) ),
inference(resolution,[status(thm)],[c_2084,c_7614]) ).
tff(c_184124,plain,
! [Y_2424] : is_a_theorem(implies(not(not(Y_2424)),Y_2424)),
inference(resolution,[status(thm)],[c_183593,c_7771]) ).
tff(c_10083,plain,
! [Y_446,Y_447] : is_a_theorem(implies(not(implies(Y_446,Y_446)),Y_447)),
inference(resolution,[status(thm)],[c_8,c_9878]) ).
tff(c_8568,plain,
! [X_396,X_6,Y_398] :
( is_a_theorem(implies(not(implies(X_396,X_6)),Y_398))
| ~ is_a_theorem(implies(X_396,implies(not(X_6),X_6))) ),
inference(resolution,[status(thm)],[c_6,c_8404]) ).
tff(c_14115,plain,
! [Y_523,X_524,Y_525] : is_a_theorem(implies(not(implies(not(implies(Y_523,Y_523)),X_524)),Y_525)),
inference(resolution,[status(thm)],[c_10083,c_8568]) ).
tff(c_1613,plain,
! [X_144,X_145,Y_146] :
( is_a_theorem(implies(implies(not(X_144),X_144),implies(not(X_145),Y_146)))
| ~ is_a_theorem(implies(X_144,X_145)) ),
inference(resolution,[status(thm)],[c_6,c_1432]) ).
tff(c_1651,plain,
! [X_147,Y_148] :
( is_a_theorem(implies(implies(not(X_147),X_147),Y_148))
| ~ is_a_theorem(implies(X_147,Y_148)) ),
inference(resolution,[status(thm)],[c_1613,c_59]) ).
tff(c_1700,plain,
! [Y_148,X_147] :
( is_a_theorem(Y_148)
| ~ is_a_theorem(implies(not(X_147),X_147))
| ~ is_a_theorem(implies(X_147,Y_148)) ),
inference(resolution,[status(thm)],[c_1651,c_611]) ).
tff(c_18670,plain,
! [Y_598,Y_599,X_600] :
( is_a_theorem(Y_598)
| ~ is_a_theorem(implies(implies(not(implies(Y_599,Y_599)),X_600),Y_598)) ),
inference(resolution,[status(thm)],[c_14115,c_1700]) ).
tff(c_19005,plain,
! [Z_20,Y_599] :
( is_a_theorem(Z_20)
| ~ is_a_theorem(implies(not(Z_20),not(implies(Y_599,Y_599)))) ),
inference(resolution,[status(thm)],[c_105,c_18670]) ).
tff(c_184496,plain,
! [Y_599] : is_a_theorem(not(not(implies(Y_599,Y_599)))),
inference(resolution,[status(thm)],[c_184124,c_19005]) ).
tff(c_178798,plain,
! [X_2393,Y_2394] : is_a_theorem(implies(not(not(implies(X_2393,Y_2394))),implies(X_2393,Y_2394))),
inference(resolution,[status(thm)],[c_168427,c_59]) ).
tff(c_10311,plain,
! [X_449,Y_450] : is_a_theorem(implies(X_449,implies(Y_450,Y_450))),
inference(resolution,[status(thm)],[c_10083,c_385]) ).
tff(c_2879,plain,
! [Y_216,Z_217,X_7,Y_8] :
( is_a_theorem(implies(implies(Y_216,Z_217),implies(X_7,Z_217)))
| ~ is_a_theorem(implies(implies(not(X_7),Y_8),Y_216)) ),
inference(resolution,[status(thm)],[c_8,c_2780]) ).
tff(c_14516,plain,
! [Y_528,Z_529,X_530] : is_a_theorem(implies(implies(implies(Y_528,Y_528),Z_529),implies(X_530,Z_529))),
inference(resolution,[status(thm)],[c_10311,c_2879]) ).
tff(c_24369,plain,
! [Y_682,Z_683,Y_684] : is_a_theorem(implies(not(implies(implies(implies(Y_682,Y_682),Z_683),Z_683)),Y_684)),
inference(resolution,[status(thm)],[c_14516,c_8568]) ).
tff(c_68931,plain,
! [Y_1321,Y_1322,Z_1323] :
( is_a_theorem(Y_1321)
| ~ is_a_theorem(implies(implies(implies(implies(Y_1322,Y_1322),Z_1323),Z_1323),Y_1321)) ),
inference(resolution,[status(thm)],[c_24369,c_1700]) ).
tff(c_69544,plain,
! [X_18,Z_20,Y_1322] :
( is_a_theorem(implies(X_18,Z_20))
| ~ is_a_theorem(implies(X_18,implies(implies(Y_1322,Y_1322),Z_20))) ),
inference(resolution,[status(thm)],[c_39,c_68931]) ).
tff(c_223501,plain,
! [Y_2717,Y_2718] : is_a_theorem(implies(not(not(implies(implies(Y_2717,Y_2717),Y_2718))),Y_2718)),
inference(resolution,[status(thm)],[c_178798,c_69544]) ).
tff(c_294,plain,
! [X_7,X_56,Y_8] :
( is_a_theorem(implies(X_7,implies(X_56,Y_8)))
| ~ is_a_theorem(implies(X_56,not(X_7))) ),
inference(resolution,[status(thm)],[c_8,c_255]) ).
tff(c_404,plain,
! [X_69,X_70,Y_71] :
( is_a_theorem(implies(X_69,implies(X_70,Y_71)))
| ~ is_a_theorem(not(X_69)) ),
inference(resolution,[status(thm)],[c_349,c_294]) ).
tff(c_432,plain,
! [X_72,Y_73] :
( is_a_theorem(implies(X_72,Y_73))
| ~ is_a_theorem(not(X_72)) ),
inference(resolution,[status(thm)],[c_404,c_59]) ).
tff(c_463,plain,
! [X_7,X_72,Y_8] :
( is_a_theorem(implies(X_7,implies(X_72,Y_8)))
| ~ is_a_theorem(not(X_72)) ),
inference(resolution,[status(thm)],[c_432,c_294]) ).
tff(c_1288,plain,
! [Z_125,X_126,Y_127] :
( is_a_theorem(Z_125)
| ~ is_a_theorem(implies(implies(X_126,Y_127),Z_125))
| ~ is_a_theorem(not(X_126)) ),
inference(resolution,[status(thm)],[c_463,c_565]) ).
tff(c_1358,plain,
! [Z_20,Y_19] :
( is_a_theorem(Z_20)
| ~ is_a_theorem(not(Y_19))
| ~ is_a_theorem(implies(not(Z_20),Y_19)) ),
inference(resolution,[status(thm)],[c_105,c_1288]) ).
tff(c_225703,plain,
! [Y_2743,Y_2744] :
( is_a_theorem(not(implies(implies(Y_2743,Y_2743),Y_2744)))
| ~ is_a_theorem(not(Y_2744)) ),
inference(resolution,[status(thm)],[c_223501,c_1358]) ).
tff(c_10,plain,
~ is_a_theorem(not(implies(implies(x,x),not(implies(y,y))))),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_226037,plain,
~ is_a_theorem(not(not(implies(y,y)))),
inference(resolution,[status(thm)],[c_225703,c_10]) ).
tff(c_226134,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_184496,c_226037]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL405-1 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.14 % 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
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 14:11:18 EDT 2023
% 0.14/0.35 % CPUTime :
% 65.33/52.12 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 65.33/52.14
% 65.33/52.14 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 65.33/52.18
% 65.33/52.18 Inference rules
% 65.33/52.18 ----------------------
% 65.33/52.18 #Ref : 0
% 65.33/52.18 #Sup : 53700
% 65.33/52.18 #Fact : 0
% 65.33/52.18 #Define : 0
% 65.33/52.18 #Split : 10
% 65.33/52.18 #Chain : 0
% 65.33/52.18 #Close : 0
% 65.33/52.18
% 65.33/52.18 Ordering : KBO
% 65.33/52.18
% 65.33/52.18 Simplification rules
% 65.33/52.18 ----------------------
% 65.33/52.18 #Subsume : 14446
% 65.33/52.18 #Demod : 5786
% 65.33/52.18 #Tautology : 5942
% 65.33/52.18 #SimpNegUnit : 0
% 65.33/52.18 #BackRed : 0
% 65.33/52.18
% 65.33/52.18 #Partial instantiations: 0
% 65.33/52.18 #Strategies tried : 1
% 65.33/52.18
% 65.33/52.18 Timing (in seconds)
% 65.33/52.18 ----------------------
% 65.33/52.19 Preprocessing : 0.39
% 65.33/52.19 Parsing : 0.22
% 65.33/52.19 CNF conversion : 0.02
% 65.33/52.19 Main loop : 50.70
% 65.33/52.19 Inferencing : 3.50
% 65.33/52.19 Reduction : 12.18
% 65.33/52.19 Demodulation : 9.22
% 65.33/52.19 BG Simplification : 0.23
% 65.33/52.19 Subsumption : 31.39
% 65.33/52.19 Abstraction : 0.34
% 65.33/52.19 MUC search : 0.00
% 65.33/52.19 Cooper : 0.00
% 65.33/52.19 Total : 51.16
% 65.33/52.19 Index Insertion : 0.00
% 65.33/52.19 Index Deletion : 0.00
% 65.33/52.19 Index Matching : 0.00
% 65.33/52.19 BG Taut test : 0.00
%------------------------------------------------------------------------------