TSTP Solution File: LCL166-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LCL166-1 : 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 : n020.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 10:47:30 EDT 2023
% Result : Timeout 291.12s 258.82s
% Output : None
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 8
% Syntax : Number of formulae : 89 ( 25 unt; 5 typ; 0 def)
% Number of atoms : 211 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 264 ( 137 ~; 127 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 6 ( 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 : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 207 (; 207 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ is_a_theorem > equivalent > #nlpp > c > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(is_a_theorem,type,
is_a_theorem: $i > $o ).
tff(b,type,
b: $i ).
tff(equivalent,type,
equivalent: ( $i * $i ) > $i ).
tff(c,type,
c: $i ).
tff(f_34,axiom,
! [X,Y,Z] : is_a_theorem(equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X),Y)))),
file(unknown,unknown) ).
tff(f_31,axiom,
! [X,Y] :
( ~ is_a_theorem(equivalent(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ),
file(unknown,unknown) ).
tff(f_37,axiom,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(b,equivalent(c,a)))),
file(unknown,unknown) ).
tff(c_4,plain,
! [X_3,Y_4,Z_5] : is_a_theorem(equivalent(X_3,equivalent(equivalent(Y_4,Z_5),equivalent(equivalent(Z_5,X_3),Y_4)))),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_8,plain,
! [X_8,Y_9,Z_10] : is_a_theorem(equivalent(X_8,equivalent(equivalent(Y_9,Z_10),equivalent(equivalent(Z_10,X_8),Y_9)))),
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(equivalent(X_1,Y_2)) ),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_13,plain,
! [Y_11,Z_12,X_13] :
( is_a_theorem(equivalent(equivalent(Y_11,Z_12),equivalent(equivalent(Z_12,X_13),Y_11)))
| ~ is_a_theorem(X_13) ),
inference(resolution,[status(thm)],[c_8,c_2]) ).
tff(c_17,plain,
! [Z_12,X_13,Y_11] :
( is_a_theorem(equivalent(equivalent(Z_12,X_13),Y_11))
| ~ is_a_theorem(equivalent(Y_11,Z_12))
| ~ is_a_theorem(X_13) ),
inference(resolution,[status(thm)],[c_13,c_2]) ).
tff(c_12,plain,
! [Y_9,Z_10,X_8] :
( is_a_theorem(equivalent(equivalent(Y_9,Z_10),equivalent(equivalent(Z_10,X_8),Y_9)))
| ~ is_a_theorem(X_8) ),
inference(resolution,[status(thm)],[c_8,c_2]) ).
tff(c_18,plain,
! [Z_14,X_15,Y_16] :
( is_a_theorem(equivalent(equivalent(Z_14,X_15),Y_16))
| ~ is_a_theorem(equivalent(Y_16,Z_14))
| ~ is_a_theorem(X_15) ),
inference(resolution,[status(thm)],[c_13,c_2]) ).
tff(c_28,plain,
! [Y_17,Z_18,X_19] :
( is_a_theorem(Y_17)
| ~ is_a_theorem(equivalent(Z_18,X_19))
| ~ is_a_theorem(equivalent(Y_17,Z_18))
| ~ is_a_theorem(X_19) ),
inference(resolution,[status(thm)],[c_18,c_2]) ).
tff(c_49,plain,
! [Y_24,X_25,Y_26,Z_27] :
( is_a_theorem(Y_24)
| ~ is_a_theorem(equivalent(Y_24,X_25))
| ~ is_a_theorem(equivalent(equivalent(Y_26,Z_27),equivalent(equivalent(Z_27,X_25),Y_26))) ),
inference(resolution,[status(thm)],[c_4,c_28]) ).
tff(c_718,plain,
! [Y_108,X_104,Z_107,Y_105,Z_106] :
( is_a_theorem(equivalent(Z_107,X_104))
| ~ is_a_theorem(equivalent(equivalent(Y_108,Z_106),equivalent(equivalent(Z_106,Y_105),Y_108)))
| ~ is_a_theorem(equivalent(Y_105,Z_107))
| ~ is_a_theorem(X_104) ),
inference(resolution,[status(thm)],[c_17,c_49]) ).
tff(c_738,plain,
! [Z_109,X_110,X_111] :
( is_a_theorem(equivalent(Z_109,X_110))
| ~ is_a_theorem(equivalent(X_111,Z_109))
| ~ is_a_theorem(X_110)
| ~ is_a_theorem(X_111) ),
inference(resolution,[status(thm)],[c_12,c_718]) ).
tff(c_1643,plain,
! [Y_188,Z_189,X_190,X_191] :
( is_a_theorem(equivalent(equivalent(equivalent(Y_188,Z_189),equivalent(equivalent(Z_189,X_190),Y_188)),X_191))
| ~ is_a_theorem(X_191)
| ~ is_a_theorem(X_190) ),
inference(resolution,[status(thm)],[c_4,c_738]) ).
tff(c_59,plain,
! [Y_28,Y_29,Z_30,X_31] :
( is_a_theorem(Y_28)
| ~ is_a_theorem(equivalent(Y_28,equivalent(Y_29,Z_30)))
| ~ is_a_theorem(equivalent(equivalent(Z_30,X_31),Y_29))
| ~ is_a_theorem(X_31) ),
inference(resolution,[status(thm)],[c_12,c_28]) ).
tff(c_81,plain,
! [Y_36,Z_37,X_38,X_39] :
( is_a_theorem(equivalent(Y_36,Z_37))
| ~ is_a_theorem(equivalent(equivalent(Y_36,X_38),equivalent(Z_37,X_39)))
| ~ is_a_theorem(X_38)
| ~ is_a_theorem(X_39) ),
inference(resolution,[status(thm)],[c_12,c_59]) ).
tff(c_95,plain,
! [Y_36,Y_4,Z_5,X_38] :
( is_a_theorem(equivalent(Y_36,equivalent(Y_4,Z_5)))
| ~ is_a_theorem(X_38)
| ~ is_a_theorem(equivalent(equivalent(Z_5,equivalent(Y_36,X_38)),Y_4)) ),
inference(resolution,[status(thm)],[c_4,c_81]) ).
tff(c_3796,plain,
! [Z_310,X_311,X_312,Y_313] :
( is_a_theorem(equivalent(equivalent(Z_310,X_311),equivalent(X_312,equivalent(Y_313,Z_310))))
| ~ is_a_theorem(Y_313)
| ~ is_a_theorem(X_312)
| ~ is_a_theorem(X_311) ),
inference(resolution,[status(thm)],[c_1643,c_95]) ).
tff(c_96,plain,
! [Y_40,Z_41,X_42] :
( is_a_theorem(equivalent(Y_40,equivalent(Z_41,X_42)))
| ~ is_a_theorem(Z_41)
| ~ is_a_theorem(Y_40)
| ~ is_a_theorem(X_42) ),
inference(resolution,[status(thm)],[c_12,c_81]) ).
tff(c_124,plain,
! [Z_41,X_42,Y_40] :
( is_a_theorem(equivalent(Z_41,X_42))
| ~ is_a_theorem(Z_41)
| ~ is_a_theorem(Y_40)
| ~ is_a_theorem(X_42) ),
inference(resolution,[status(thm)],[c_96,c_2]) ).
tff(c_125,plain,
! [Y_40] : ~ is_a_theorem(Y_40),
inference(splitLeft,[status(thm)],[c_124]) ).
tff(c_149,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_125,c_4]) ).
tff(c_151,plain,
! [Z_47,X_48] :
( is_a_theorem(equivalent(Z_47,X_48))
| ~ is_a_theorem(Z_47)
| ~ is_a_theorem(X_48) ),
inference(splitRight,[status(thm)],[c_124]) ).
tff(c_26,plain,
! [Y_16,Z_14,X_15] :
( is_a_theorem(Y_16)
| ~ is_a_theorem(equivalent(Z_14,X_15))
| ~ is_a_theorem(equivalent(Y_16,Z_14))
| ~ is_a_theorem(X_15) ),
inference(resolution,[status(thm)],[c_18,c_2]) ).
tff(c_179,plain,
! [Y_16,Z_47,X_48] :
( is_a_theorem(Y_16)
| ~ is_a_theorem(equivalent(Y_16,Z_47))
| ~ is_a_theorem(Z_47)
| ~ is_a_theorem(X_48) ),
inference(resolution,[status(thm)],[c_151,c_26]) ).
tff(c_182,plain,
! [X_48] : ~ is_a_theorem(X_48),
inference(splitLeft,[status(thm)],[c_179]) ).
tff(c_196,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_182,c_4]) ).
tff(c_198,plain,
! [Y_49,Z_50] :
( is_a_theorem(Y_49)
| ~ is_a_theorem(equivalent(Y_49,Z_50))
| ~ is_a_theorem(Z_50) ),
inference(splitRight,[status(thm)],[c_179]) ).
tff(c_217,plain,
! [Y_9,Z_10,X_8] :
( is_a_theorem(equivalent(Y_9,Z_10))
| ~ is_a_theorem(equivalent(equivalent(Z_10,X_8),Y_9))
| ~ is_a_theorem(X_8) ),
inference(resolution,[status(thm)],[c_12,c_198]) ).
tff(c_3968,plain,
! [X_312,Y_313,Z_310,X_311] :
( is_a_theorem(equivalent(equivalent(X_312,equivalent(Y_313,Z_310)),Z_310))
| ~ is_a_theorem(Y_313)
| ~ is_a_theorem(X_312)
| ~ is_a_theorem(X_311) ),
inference(resolution,[status(thm)],[c_3796,c_217]) ).
tff(c_3976,plain,
! [X_311] : ~ is_a_theorem(X_311),
inference(splitLeft,[status(thm)],[c_3968]) ).
tff(c_4047,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3976,c_4]) ).
tff(c_4048,plain,
! [X_312,Y_313,Z_310] :
( is_a_theorem(equivalent(equivalent(X_312,equivalent(Y_313,Z_310)),Z_310))
| ~ is_a_theorem(Y_313)
| ~ is_a_theorem(X_312) ),
inference(splitRight,[status(thm)],[c_3968]) ).
tff(c_4100,plain,
! [X_318,Y_319,Z_320] :
( is_a_theorem(equivalent(equivalent(X_318,equivalent(Y_319,Z_320)),Z_320))
| ~ is_a_theorem(Y_319)
| ~ is_a_theorem(X_318) ),
inference(splitRight,[status(thm)],[c_3968]) ).
tff(c_38,plain,
! [Y_20,Z_21,X_22,Y_23] :
( is_a_theorem(Y_20)
| ~ is_a_theorem(equivalent(Y_20,equivalent(Z_21,X_22)))
| ~ is_a_theorem(Y_23)
| ~ is_a_theorem(equivalent(Y_23,Z_21))
| ~ is_a_theorem(X_22) ),
inference(resolution,[status(thm)],[c_17,c_28]) ).
tff(c_48,plain,
! [X_3,Y_23,Y_4,Z_5] :
( is_a_theorem(X_3)
| ~ is_a_theorem(Y_23)
| ~ is_a_theorem(equivalent(Y_23,equivalent(Y_4,Z_5)))
| ~ is_a_theorem(equivalent(equivalent(Z_5,X_3),Y_4)) ),
inference(resolution,[status(thm)],[c_4,c_38]) ).
tff(c_175,plain,
! [X_3,Z_5,Y_4,Z_47] :
( is_a_theorem(X_3)
| ~ is_a_theorem(equivalent(equivalent(Z_5,X_3),Y_4))
| ~ is_a_theorem(Z_47)
| ~ is_a_theorem(equivalent(Y_4,Z_5)) ),
inference(resolution,[status(thm)],[c_151,c_48]) ).
tff(c_1056,plain,
! [Z_47] : ~ is_a_theorem(Z_47),
inference(splitLeft,[status(thm)],[c_175]) ).
tff(c_1093,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1056,c_4]) ).
tff(c_1095,plain,
! [X_143,Z_144,Y_145] :
( is_a_theorem(X_143)
| ~ is_a_theorem(equivalent(equivalent(Z_144,X_143),Y_145))
| ~ is_a_theorem(equivalent(Y_145,Z_144)) ),
inference(splitRight,[status(thm)],[c_175]) ).
tff(c_1126,plain,
! [X_143,Y_4,Z_5,Z_144] :
( is_a_theorem(X_143)
| ~ is_a_theorem(equivalent(equivalent(equivalent(Y_4,Z_5),equivalent(equivalent(Z_5,equivalent(Z_144,X_143)),Y_4)),Z_144)) ),
inference(resolution,[status(thm)],[c_4,c_1095]) ).
tff(c_4275,plain,
! [X_321,Z_322,Z_323] :
( is_a_theorem(X_321)
| ~ is_a_theorem(equivalent(Z_322,equivalent(Z_323,X_321)))
| ~ is_a_theorem(equivalent(Z_323,Z_322)) ),
inference(resolution,[status(thm)],[c_4100,c_1126]) ).
tff(c_4597,plain,
! [Z_334,X_335,Y_336] :
( is_a_theorem(equivalent(equivalent(Z_334,X_335),Y_336))
| ~ is_a_theorem(equivalent(equivalent(Y_336,Z_334),X_335)) ),
inference(resolution,[status(thm)],[c_4,c_4275]) ).
tff(c_4648,plain,
! [Y_337,Z_338,X_339] :
( is_a_theorem(equivalent(equivalent(equivalent(Y_337,Z_338),Z_338),X_339))
| ~ is_a_theorem(Y_337)
| ~ is_a_theorem(X_339) ),
inference(resolution,[status(thm)],[c_4048,c_4597]) ).
tff(c_197,plain,
! [Y_16,Z_47] :
( is_a_theorem(Y_16)
| ~ is_a_theorem(equivalent(Y_16,Z_47))
| ~ is_a_theorem(Z_47) ),
inference(splitRight,[status(thm)],[c_179]) ).
tff(c_4887,plain,
! [Y_337,Z_338,X_339] :
( is_a_theorem(equivalent(equivalent(Y_337,Z_338),Z_338))
| ~ is_a_theorem(Y_337)
| ~ is_a_theorem(X_339) ),
inference(resolution,[status(thm)],[c_4648,c_197]) ).
tff(c_4969,plain,
! [X_339] : ~ is_a_theorem(X_339),
inference(splitLeft,[status(thm)],[c_4887]) ).
tff(c_5049,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4969,c_4]) ).
tff(c_5051,plain,
! [Y_344,Z_345] :
( is_a_theorem(equivalent(equivalent(Y_344,Z_345),Z_345))
| ~ is_a_theorem(Y_344) ),
inference(splitRight,[status(thm)],[c_4887]) ).
tff(c_4343,plain,
! [Z_5,X_3,Y_4] :
( is_a_theorem(equivalent(equivalent(Z_5,X_3),Y_4))
| ~ is_a_theorem(equivalent(equivalent(Y_4,Z_5),X_3)) ),
inference(resolution,[status(thm)],[c_4,c_4275]) ).
tff(c_5272,plain,
! [Z_346,Y_347] :
( is_a_theorem(equivalent(equivalent(Z_346,Z_346),Y_347))
| ~ is_a_theorem(Y_347) ),
inference(resolution,[status(thm)],[c_5051,c_4343]) ).
tff(c_5516,plain,
! [Z_346,Y_347] :
( is_a_theorem(equivalent(Z_346,Z_346))
| ~ is_a_theorem(Y_347) ),
inference(resolution,[status(thm)],[c_5272,c_197]) ).
tff(c_5523,plain,
! [Y_347] : ~ is_a_theorem(Y_347),
inference(splitLeft,[status(thm)],[c_5516]) ).
tff(c_5661,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_5523,c_4]) ).
tff(c_5663,plain,
! [Z_353] : is_a_theorem(equivalent(Z_353,Z_353)),
inference(splitRight,[status(thm)],[c_5516]) ).
tff(c_6416,plain,
! [Z_364,Y_365] : is_a_theorem(equivalent(equivalent(Z_364,equivalent(Y_365,Z_364)),Y_365)),
inference(resolution,[status(thm)],[c_5663,c_4343]) ).
tff(c_150,plain,
! [Z_41,X_42] :
( is_a_theorem(equivalent(Z_41,X_42))
| ~ is_a_theorem(Z_41)
| ~ is_a_theorem(X_42) ),
inference(splitRight,[status(thm)],[c_124]) ).
tff(c_70,plain,
! [X_32,Y_33,Y_34,Z_35] :
( is_a_theorem(X_32)
| ~ is_a_theorem(Y_33)
| ~ is_a_theorem(equivalent(Y_33,equivalent(Y_34,Z_35)))
| ~ is_a_theorem(equivalent(equivalent(Z_35,X_32),Y_34)) ),
inference(resolution,[status(thm)],[c_4,c_38]) ).
tff(c_1149,plain,
! [X_151,Y_152,Z_153,X_154] :
( is_a_theorem(X_151)
| ~ is_a_theorem(equivalent(Y_152,Z_153))
| ~ is_a_theorem(equivalent(equivalent(Y_152,X_151),equivalent(Z_153,X_154)))
| ~ is_a_theorem(X_154) ),
inference(resolution,[status(thm)],[c_12,c_70]) ).
tff(c_1425,plain,
! [X_176,Y_177,Y_178,Z_179] :
( is_a_theorem(X_176)
| ~ is_a_theorem(equivalent(Y_177,equivalent(Y_178,Z_179)))
| ~ is_a_theorem(equivalent(equivalent(Z_179,equivalent(Y_177,X_176)),Y_178)) ),
inference(resolution,[status(thm)],[c_4,c_1149]) ).
tff(c_3461,plain,
! [X_290,Y_291,X_292,Z_293] :
( is_a_theorem(X_290)
| ~ is_a_theorem(equivalent(Y_291,equivalent(X_292,Z_293)))
| ~ is_a_theorem(equivalent(Z_293,equivalent(Y_291,X_290)))
| ~ is_a_theorem(X_292) ),
inference(resolution,[status(thm)],[c_150,c_1425]) ).
tff(c_3507,plain,
! [X_290,Z_5,X_3,Y_4] :
( is_a_theorem(X_290)
| ~ is_a_theorem(equivalent(equivalent(equivalent(Z_5,X_3),Y_4),equivalent(X_3,X_290)))
| ~ is_a_theorem(equivalent(Y_4,Z_5)) ),
inference(resolution,[status(thm)],[c_4,c_3461]) ).
tff(c_35613,plain,
! [X_764,X_765,Z_766] :
( is_a_theorem(X_764)
| ~ is_a_theorem(equivalent(equivalent(equivalent(X_765,X_764),equivalent(Z_766,X_765)),Z_766)) ),
inference(resolution,[status(thm)],[c_6416,c_3507]) ).
tff(c_64055,plain,
! [X_1023,Y_1024,X_1025] :
( is_a_theorem(X_1023)
| ~ is_a_theorem(equivalent(Y_1024,equivalent(X_1025,X_1023)))
| ~ is_a_theorem(equivalent(Y_1024,X_1025)) ),
inference(resolution,[status(thm)],[c_17,c_35613]) ).
tff(c_66256,plain,
! [Z_1041,X_1042,Y_1043] :
( is_a_theorem(equivalent(equivalent(Z_1041,X_1042),Y_1043))
| ~ is_a_theorem(equivalent(X_1042,equivalent(Y_1043,Z_1041))) ),
inference(resolution,[status(thm)],[c_4,c_64055]) ).
tff(c_375339,plain,
! [X_2528,Y_2529,Z_2530] :
( is_a_theorem(equivalent(equivalent(X_2528,Y_2529),Z_2530))
| ~ is_a_theorem(equivalent(X_2528,equivalent(Y_2529,Z_2530))) ),
inference(resolution,[status(thm)],[c_66256,c_4343]) ).
tff(c_10300,plain,
! [X_425,Y_426,Z_427] :
( is_a_theorem(equivalent(equivalent(X_425,Y_426),Z_427))
| ~ is_a_theorem(equivalent(Y_426,Z_427))
| ~ is_a_theorem(X_425) ),
inference(resolution,[status(thm)],[c_17,c_4597]) ).
tff(c_94,plain,
! [Y_9,Z_10,X_8] :
( is_a_theorem(equivalent(Y_9,equivalent(Z_10,X_8)))
| ~ is_a_theorem(Z_10)
| ~ is_a_theorem(Y_9)
| ~ is_a_theorem(X_8) ),
inference(resolution,[status(thm)],[c_12,c_81]) ).
tff(c_1179,plain,
! [X_151,Y_152,Z_10,X_8] :
( is_a_theorem(X_151)
| ~ is_a_theorem(equivalent(Y_152,Z_10))
| ~ is_a_theorem(Z_10)
| ~ is_a_theorem(equivalent(Y_152,X_151))
| ~ is_a_theorem(X_8) ),
inference(resolution,[status(thm)],[c_94,c_1149]) ).
tff(c_1241,plain,
! [X_8] : ~ is_a_theorem(X_8),
inference(splitLeft,[status(thm)],[c_1179]) ).
tff(c_1281,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1241,c_4]) ).
tff(c_1283,plain,
! [X_162,Y_163,Z_164] :
( is_a_theorem(X_162)
| ~ is_a_theorem(equivalent(Y_163,Z_164))
| ~ is_a_theorem(Z_164)
| ~ is_a_theorem(equivalent(Y_163,X_162)) ),
inference(splitRight,[status(thm)],[c_1179]) ).
tff(c_1300,plain,
! [X_162,Z_41,X_42] :
( is_a_theorem(X_162)
| ~ is_a_theorem(equivalent(Z_41,X_162))
| ~ is_a_theorem(Z_41)
| ~ is_a_theorem(X_42) ),
inference(resolution,[status(thm)],[c_150,c_1283]) ).
tff(c_1305,plain,
! [X_42] : ~ is_a_theorem(X_42),
inference(splitLeft,[status(thm)],[c_1300]) ).
tff(c_1372,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1305,c_4]) ).
tff(c_1373,plain,
! [X_162,Z_41] :
( is_a_theorem(X_162)
| ~ is_a_theorem(equivalent(Z_41,X_162))
| ~ is_a_theorem(Z_41) ),
inference(splitRight,[status(thm)],[c_1300]) ).
tff(c_6584,plain,
! [Y_365,Z_364] :
( is_a_theorem(Y_365)
| ~ is_a_theorem(equivalent(Z_364,equivalent(Y_365,Z_364))) ),
inference(resolution,[status(thm)],[c_6416,c_1373]) ).
tff(c_100936,plain,
! [Y_1301,Y_1302,X_1303] :
( is_a_theorem(Y_1301)
| ~ is_a_theorem(equivalent(Y_1302,equivalent(Y_1301,equivalent(X_1303,Y_1302))))
| ~ is_a_theorem(X_1303) ),
inference(resolution,[status(thm)],[c_10300,c_6584]) ).
tff(c_101259,plain,
! [Y_4,Z_5] :
( is_a_theorem(equivalent(Y_4,Z_5))
| ~ is_a_theorem(equivalent(Z_5,Y_4)) ),
inference(resolution,[status(thm)],[c_4,c_100936]) ).
tff(c_772204,plain,
! [Z_3850,X_3851,Y_3852] :
( is_a_theorem(equivalent(Z_3850,equivalent(X_3851,Y_3852)))
| ~ is_a_theorem(equivalent(X_3851,equivalent(Y_3852,Z_3850))) ),
inference(resolution,[status(thm)],[c_375339,c_101259]) ).
tff(c_773517,plain,
! [Z_5,X_3,Y_4] : is_a_theorem(equivalent(equivalent(equivalent(Z_5,X_3),Y_4),equivalent(X_3,equivalent(Y_4,Z_5)))),
inference(resolution,[status(thm)],[c_4,c_772204]) ).
tff(c_6,plain,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(b,equivalent(c,a)))),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_774805,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_773517,c_6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : LCL166-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.15 % 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
% 0.16/0.36 % Computer : n020.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Thu Aug 3 13:26:07 EDT 2023
% 0.16/0.36 % CPUTime :
% 291.12/258.82 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 291.12/258.83
% 291.12/258.83 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 291.33/258.88
% 291.33/258.88 Inference rules
% 291.33/258.88 ----------------------
% 291.33/258.88 #Ref : 0
% 291.33/258.88 #Sup : 171470
% 291.33/258.88 #Fact : 0
% 291.33/258.88 #Define : 0
% 291.33/258.88 #Split : 68
% 291.33/258.88 #Chain : 0
% 291.33/258.88 #Close : 0
% 291.33/258.88
% 291.33/258.88 Ordering : KBO
% 291.33/258.88
% 291.33/258.88 Simplification rules
% 291.33/258.88 ----------------------
% 291.33/258.88 #Subsume : 81647
% 291.33/258.88 #Demod : 25764
% 291.33/258.88 #Tautology : 20598
% 291.33/258.88 #SimpNegUnit : 27581
% 291.33/258.88 #BackRed : 2541
% 291.33/258.88
% 291.33/258.88 #Partial instantiations: 0
% 291.33/258.88 #Strategies tried : 1
% 291.33/258.88
% 291.33/258.88 Timing (in seconds)
% 291.33/258.88 ----------------------
% 291.33/258.88 Preprocessing : 0.37
% 291.33/258.88 Parsing : 0.21
% 291.33/258.88 CNF conversion : 0.02
% 291.33/258.88 Main loop : 257.40
% 291.33/258.88 Inferencing : 9.48
% 291.33/258.88 Reduction : 32.64
% 291.33/258.88 Demodulation : 27.91
% 291.33/258.88 BG Simplification : 0.60
% 291.33/258.88 Subsumption : 200.82
% 291.33/258.88 Abstraction : 1.07
% 291.33/258.88 MUC search : 0.00
% 291.33/258.88 Cooper : 0.00
% 291.33/258.88 Total : 257.85
% 291.33/258.88 Index Insertion : 0.00
% 291.33/258.88 Index Deletion : 0.00
% 291.33/258.88 Index Matching : 0.00
% 291.33/258.88 BG Taut test : 0.00
%------------------------------------------------------------------------------