TSTP Solution File: LCL167-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LCL167-1 : 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 : n005.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 10:47:31 EDT 2023
% Result : Unsatisfiable 158.47s 136.51s
% Output : CNFRefutation 158.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 8
% Syntax : Number of formulae : 112 ( 27 unt; 5 typ; 0 def)
% Number of atoms : 255 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 304 ( 156 ~; 148 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 7 ( 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 : 282 (; 282 !; 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(X,Z),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(a,b),equivalent(c,equivalent(equivalent(c,b),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(X_3,Z_5),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(X_8,Z_10),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_12,plain,
! [Y_9,Z_10,X_8] :
( is_a_theorem(equivalent(equivalent(Y_9,Z_10),equivalent(equivalent(X_8,Z_10),Y_9)))
| ~ is_a_theorem(X_8) ),
inference(resolution,[status(thm)],[c_8,c_2]) ).
tff(c_13,plain,
! [Y_11,Z_12,X_13] :
( is_a_theorem(equivalent(equivalent(Y_11,Z_12),equivalent(equivalent(X_13,Z_12),Y_11)))
| ~ is_a_theorem(X_13) ),
inference(resolution,[status(thm)],[c_8,c_2]) ).
tff(c_17,plain,
! [X_13,Z_12,Y_11] :
( is_a_theorem(equivalent(equivalent(X_13,Z_12),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_18,plain,
! [X_14,Z_15,Y_16] :
( is_a_theorem(equivalent(equivalent(X_14,Z_15),Y_16))
| ~ is_a_theorem(equivalent(Y_16,Z_15))
| ~ is_a_theorem(X_14) ),
inference(resolution,[status(thm)],[c_13,c_2]) ).
tff(c_28,plain,
! [Y_17,X_18,Z_19] :
( is_a_theorem(Y_17)
| ~ is_a_theorem(equivalent(X_18,Z_19))
| ~ is_a_theorem(equivalent(Y_17,Z_19))
| ~ is_a_theorem(X_18) ),
inference(resolution,[status(thm)],[c_18,c_2]) ).
tff(c_97,plain,
! [Y_34,X_35,Z_36,Y_37] :
( is_a_theorem(Y_34)
| ~ is_a_theorem(equivalent(Y_34,equivalent(equivalent(X_35,Z_36),Y_37)))
| ~ is_a_theorem(equivalent(Y_37,Z_36))
| ~ is_a_theorem(X_35) ),
inference(resolution,[status(thm)],[c_12,c_28]) ).
tff(c_116,plain,
! [X_38,Z_39,Y_40] :
( is_a_theorem(X_38)
| ~ is_a_theorem(equivalent(equivalent(equivalent(X_38,Z_39),Y_40),Z_39))
| ~ is_a_theorem(Y_40) ),
inference(resolution,[status(thm)],[c_4,c_97]) ).
tff(c_126,plain,
! [X_41,Z_42,Y_43] :
( is_a_theorem(X_41)
| ~ is_a_theorem(Z_42)
| ~ is_a_theorem(equivalent(Y_43,Z_42))
| ~ is_a_theorem(equivalent(X_41,Y_43)) ),
inference(resolution,[status(thm)],[c_17,c_116]) ).
tff(c_165,plain,
! [X_53,Y_54,Z_55,X_56] :
( is_a_theorem(X_53)
| ~ is_a_theorem(equivalent(equivalent(Y_54,Z_55),equivalent(equivalent(X_56,Z_55),Y_54)))
| ~ is_a_theorem(equivalent(X_53,X_56)) ),
inference(resolution,[status(thm)],[c_4,c_126]) ).
tff(c_173,plain,
! [X_57,X_58] :
( is_a_theorem(X_57)
| ~ is_a_theorem(equivalent(X_57,X_58))
| ~ is_a_theorem(X_58) ),
inference(resolution,[status(thm)],[c_12,c_165]) ).
tff(c_213,plain,
! [Y_65,Z_66,X_67] :
( is_a_theorem(equivalent(Y_65,Z_66))
| ~ is_a_theorem(equivalent(equivalent(X_67,Z_66),Y_65))
| ~ is_a_theorem(X_67) ),
inference(resolution,[status(thm)],[c_12,c_173]) ).
tff(c_2497,plain,
! [Y_249,Z_250,X_251,Z_252] :
( is_a_theorem(equivalent(equivalent(equivalent(Y_249,Z_250),equivalent(equivalent(equivalent(X_251,Z_252),Z_250),Y_249)),Z_252))
| ~ is_a_theorem(X_251) ),
inference(resolution,[status(thm)],[c_4,c_213]) ).
tff(c_115,plain,
! [X_3,Z_5,Y_4] :
( is_a_theorem(X_3)
| ~ is_a_theorem(equivalent(equivalent(equivalent(X_3,Z_5),Y_4),Z_5))
| ~ is_a_theorem(Y_4) ),
inference(resolution,[status(thm)],[c_4,c_97]) ).
tff(c_2667,plain,
! [Y_253,X_254,Z_255] :
( is_a_theorem(Y_253)
| ~ is_a_theorem(equivalent(equivalent(equivalent(X_254,Z_255),Z_255),Y_253))
| ~ is_a_theorem(X_254) ),
inference(resolution,[status(thm)],[c_2497,c_115]) ).
tff(c_2760,plain,
! [X_259,Z_260,X_261] :
( is_a_theorem(equivalent(equivalent(X_259,Z_260),equivalent(X_261,Z_260)))
| ~ is_a_theorem(X_261)
| ~ is_a_theorem(X_259) ),
inference(resolution,[status(thm)],[c_12,c_2667]) ).
tff(c_188,plain,
! [Y_9,Z_10,X_8] :
( is_a_theorem(equivalent(Y_9,Z_10))
| ~ is_a_theorem(equivalent(equivalent(X_8,Z_10),Y_9))
| ~ is_a_theorem(X_8) ),
inference(resolution,[status(thm)],[c_12,c_173]) ).
tff(c_2930,plain,
! [X_261,Z_260,X_259] :
( is_a_theorem(equivalent(equivalent(X_261,Z_260),Z_260))
| ~ is_a_theorem(X_261)
| ~ is_a_theorem(X_259) ),
inference(resolution,[status(thm)],[c_2760,c_188]) ).
tff(c_2943,plain,
! [X_259] : ~ is_a_theorem(X_259),
inference(splitLeft,[status(thm)],[c_2930]) ).
tff(c_3007,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2943,c_4]) ).
tff(c_3008,plain,
! [X_261,Z_260] :
( is_a_theorem(equivalent(equivalent(X_261,Z_260),Z_260))
| ~ is_a_theorem(X_261) ),
inference(splitRight,[status(thm)],[c_2930]) ).
tff(c_3201,plain,
! [X_267,Z_268] :
( is_a_theorem(equivalent(equivalent(X_267,Z_268),Z_268))
| ~ is_a_theorem(X_267) ),
inference(splitRight,[status(thm)],[c_2930]) ).
tff(c_137,plain,
! [X_41,X_8,Z_10,Y_9] :
( is_a_theorem(X_41)
| ~ is_a_theorem(equivalent(equivalent(X_8,Z_10),Y_9))
| ~ is_a_theorem(equivalent(X_41,equivalent(Y_9,Z_10)))
| ~ is_a_theorem(X_8) ),
inference(resolution,[status(thm)],[c_12,c_126]) ).
tff(c_3350,plain,
! [X_41,Z_268,X_267] :
( is_a_theorem(X_41)
| ~ is_a_theorem(equivalent(X_41,equivalent(Z_268,Z_268)))
| ~ is_a_theorem(X_267) ),
inference(resolution,[status(thm)],[c_3201,c_137]) ).
tff(c_3718,plain,
! [X_267] : ~ is_a_theorem(X_267),
inference(splitLeft,[status(thm)],[c_3350]) ).
tff(c_3365,plain,
! [Z_268,X_267] :
( is_a_theorem(equivalent(Z_268,Z_268))
| ~ is_a_theorem(X_267) ),
inference(resolution,[status(thm)],[c_3201,c_188]) ).
tff(c_3376,plain,
! [X_267] : ~ is_a_theorem(X_267),
inference(splitLeft,[status(thm)],[c_3365]) ).
tff(c_3442,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3376,c_4]) ).
tff(c_3443,plain,
! [Z_268] : is_a_theorem(equivalent(Z_268,Z_268)),
inference(splitRight,[status(thm)],[c_3365]) ).
tff(c_3787,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3718,c_3443]) ).
tff(c_3789,plain,
! [X_276,Z_277] :
( is_a_theorem(X_276)
| ~ is_a_theorem(equivalent(X_276,equivalent(Z_277,Z_277))) ),
inference(splitRight,[status(thm)],[c_3350]) ).
tff(c_3844,plain,
! [X_261,Z_277] :
( is_a_theorem(equivalent(X_261,equivalent(Z_277,Z_277)))
| ~ is_a_theorem(X_261) ),
inference(resolution,[status(thm)],[c_3008,c_3789]) ).
tff(c_3923,plain,
! [X_283,Z_284] :
( is_a_theorem(equivalent(X_283,equivalent(Z_284,Z_284)))
| ~ is_a_theorem(X_283) ),
inference(resolution,[status(thm)],[c_3008,c_3789]) ).
tff(c_8084,plain,
! [Z_376,Z_377,X_378] :
( is_a_theorem(equivalent(equivalent(Z_376,Z_376),Z_377))
| ~ is_a_theorem(X_378)
| ~ is_a_theorem(equivalent(X_378,Z_377)) ),
inference(resolution,[status(thm)],[c_3923,c_188]) ).
tff(c_8154,plain,
! [Z_376,Z_277,X_261] :
( is_a_theorem(equivalent(equivalent(Z_376,Z_376),equivalent(Z_277,Z_277)))
| ~ is_a_theorem(X_261) ),
inference(resolution,[status(thm)],[c_3844,c_8084]) ).
tff(c_8171,plain,
! [X_261] : ~ is_a_theorem(X_261),
inference(splitLeft,[status(thm)],[c_8154]) ).
tff(c_8375,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8171,c_3443]) ).
tff(c_8377,plain,
! [Z_385,Z_386] : is_a_theorem(equivalent(equivalent(Z_385,Z_385),equivalent(Z_386,Z_386))),
inference(splitRight,[status(thm)],[c_8154]) ).
tff(c_48,plain,
! [Y_24,Y_25,Z_26,X_27] :
( is_a_theorem(Y_24)
| ~ is_a_theorem(equivalent(Y_24,equivalent(equivalent(Y_25,Z_26),equivalent(equivalent(X_27,Z_26),Y_25))))
| ~ is_a_theorem(X_27) ),
inference(resolution,[status(thm)],[c_4,c_28]) ).
tff(c_61,plain,
! [X_27,Z_10,X_8] :
( is_a_theorem(equivalent(equivalent(equivalent(X_27,Z_10),X_8),Z_10))
| ~ is_a_theorem(X_27)
| ~ is_a_theorem(X_8) ),
inference(resolution,[status(thm)],[c_12,c_48]) ).
tff(c_231,plain,
! [X_68,Z_69,X_70] :
( is_a_theorem(equivalent(equivalent(X_68,Z_69),X_70))
| ~ is_a_theorem(Z_69)
| ~ is_a_theorem(X_68)
| ~ is_a_theorem(X_70) ),
inference(resolution,[status(thm)],[c_61,c_173]) ).
tff(c_278,plain,
! [X_70,Z_69,X_68] :
( is_a_theorem(equivalent(X_70,Z_69))
| ~ is_a_theorem(Z_69)
| ~ is_a_theorem(X_68)
| ~ is_a_theorem(X_70) ),
inference(resolution,[status(thm)],[c_231,c_188]) ).
tff(c_294,plain,
! [X_68] : ~ is_a_theorem(X_68),
inference(splitLeft,[status(thm)],[c_278]) ).
tff(c_315,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_294,c_4]) ).
tff(c_338,plain,
! [X_76,Z_77] :
( is_a_theorem(equivalent(X_76,Z_77))
| ~ is_a_theorem(Z_77)
| ~ is_a_theorem(X_76) ),
inference(splitRight,[status(thm)],[c_278]) ).
tff(c_189,plain,
! [X_3,Y_4,Z_5] :
( is_a_theorem(X_3)
| ~ is_a_theorem(equivalent(equivalent(Y_4,Z_5),equivalent(equivalent(X_3,Z_5),Y_4))) ),
inference(resolution,[status(thm)],[c_4,c_173]) ).
tff(c_392,plain,
! [X_3,Z_5,Y_4] :
( is_a_theorem(X_3)
| ~ is_a_theorem(equivalent(equivalent(X_3,Z_5),Y_4))
| ~ is_a_theorem(equivalent(Y_4,Z_5)) ),
inference(resolution,[status(thm)],[c_338,c_189]) ).
tff(c_8651,plain,
! [Z_387,Z_388] :
( is_a_theorem(Z_387)
| ~ is_a_theorem(equivalent(equivalent(Z_388,Z_388),Z_387)) ),
inference(resolution,[status(thm)],[c_8377,c_392]) ).
tff(c_8795,plain,
! [Y_389,Z_390,Z_391] : is_a_theorem(equivalent(equivalent(Y_389,Z_390),equivalent(equivalent(equivalent(Z_391,Z_391),Z_390),Y_389))),
inference(resolution,[status(thm)],[c_4,c_8651]) ).
tff(c_8626,plain,
! [Z_385,Z_386] :
( is_a_theorem(Z_385)
| ~ is_a_theorem(equivalent(equivalent(Z_386,Z_386),Z_385)) ),
inference(resolution,[status(thm)],[c_8377,c_392]) ).
tff(c_8948,plain,
! [Z_391,Z_390] : is_a_theorem(equivalent(equivalent(equivalent(Z_391,Z_391),Z_390),Z_390)),
inference(resolution,[status(thm)],[c_8795,c_8626]) ).
tff(c_172,plain,
! [X_53,X_8] :
( is_a_theorem(X_53)
| ~ is_a_theorem(equivalent(X_53,X_8))
| ~ is_a_theorem(X_8) ),
inference(resolution,[status(thm)],[c_12,c_165]) ).
tff(c_18295,plain,
! [Y_558,Z_559,Z_560] :
( is_a_theorem(equivalent(Y_558,Z_559))
| ~ is_a_theorem(equivalent(equivalent(equivalent(Z_560,Z_560),Z_559),Y_558)) ),
inference(resolution,[status(thm)],[c_8795,c_172]) ).
tff(c_18517,plain,
! [Y_4,Z_5,Z_560,Z_559] : is_a_theorem(equivalent(equivalent(equivalent(Y_4,Z_5),equivalent(equivalent(equivalent(equivalent(Z_560,Z_560),Z_559),Z_5),Y_4)),Z_559)),
inference(resolution,[status(thm)],[c_4,c_18295]) ).
tff(c_230,plain,
! [Y_4,Z_5,X_67,Z_66] :
( is_a_theorem(equivalent(equivalent(equivalent(Y_4,Z_5),equivalent(equivalent(equivalent(X_67,Z_66),Z_5),Y_4)),Z_66))
| ~ is_a_theorem(X_67) ),
inference(resolution,[status(thm)],[c_4,c_213]) ).
tff(c_37424,plain,
! [Z_773,X_774,Z_775] :
( is_a_theorem(equivalent(Z_773,equivalent(equivalent(equivalent(X_774,Z_773),Z_775),Z_775)))
| ~ is_a_theorem(X_774) ),
inference(resolution,[status(thm)],[c_230,c_18295]) ).
tff(c_561,plain,
! [X_94,Z_95,Y_96] :
( is_a_theorem(X_94)
| ~ is_a_theorem(equivalent(equivalent(X_94,Z_95),Y_96))
| ~ is_a_theorem(equivalent(Y_96,Z_95)) ),
inference(resolution,[status(thm)],[c_338,c_189]) ).
tff(c_586,plain,
! [Y_9,X_8,Z_10] :
( is_a_theorem(Y_9)
| ~ is_a_theorem(equivalent(equivalent(equivalent(X_8,Z_10),Y_9),Z_10))
| ~ is_a_theorem(X_8) ),
inference(resolution,[status(thm)],[c_12,c_561]) ).
tff(c_4523,plain,
! [X_291,Z_292,Y_293] :
( is_a_theorem(equivalent(equivalent(equivalent(X_291,Z_292),Z_292),Y_293))
| ~ is_a_theorem(Y_293)
| ~ is_a_theorem(X_291) ),
inference(resolution,[status(thm)],[c_2497,c_586]) ).
tff(c_4726,plain,
! [X_3,Z_292,X_291] :
( is_a_theorem(X_3)
| ~ is_a_theorem(equivalent(equivalent(X_3,Z_292),equivalent(X_291,Z_292)))
| ~ is_a_theorem(X_291) ),
inference(resolution,[status(thm)],[c_4523,c_189]) ).
tff(c_48283,plain,
! [X_882,X_883,Z_884] :
( is_a_theorem(X_882)
| ~ is_a_theorem(equivalent(equivalent(X_883,equivalent(X_882,Z_884)),Z_884))
| ~ is_a_theorem(X_883) ),
inference(resolution,[status(thm)],[c_37424,c_4726]) ).
tff(c_68226,plain,
! [Z_1022,Z_1023,Z_1024] :
( is_a_theorem(equivalent(equivalent(equivalent(Z_1022,Z_1022),Z_1023),Z_1024))
| ~ is_a_theorem(equivalent(Z_1023,Z_1024)) ),
inference(resolution,[status(thm)],[c_18517,c_48283]) ).
tff(c_68678,plain,
! [X_41,Z_1024,Z_1023,Z_1022] :
( is_a_theorem(X_41)
| ~ is_a_theorem(equivalent(X_41,equivalent(Z_1024,Z_1023)))
| ~ is_a_theorem(equivalent(Z_1022,Z_1022))
| ~ is_a_theorem(equivalent(Z_1023,Z_1024)) ),
inference(resolution,[status(thm)],[c_68226,c_137]) ).
tff(c_79344,plain,
! [X_1098,Z_1099,Z_1100] :
( is_a_theorem(X_1098)
| ~ is_a_theorem(equivalent(X_1098,equivalent(Z_1099,Z_1100)))
| ~ is_a_theorem(equivalent(Z_1100,Z_1099)) ),
inference(demodulation,[status(thm),theory(equality)],[c_3443,c_68678]) ).
tff(c_117429,plain,
! [Z_1354,Z_1355,Z_1356] :
( is_a_theorem(equivalent(equivalent(Z_1354,Z_1354),equivalent(Z_1355,Z_1356)))
| ~ is_a_theorem(equivalent(Z_1356,Z_1355)) ),
inference(resolution,[status(thm)],[c_8948,c_79344]) ).
tff(c_8794,plain,
! [Y_4,Z_5,Z_388] : is_a_theorem(equivalent(equivalent(Y_4,Z_5),equivalent(equivalent(equivalent(Z_388,Z_388),Z_5),Y_4))),
inference(resolution,[status(thm)],[c_4,c_8651]) ).
tff(c_512,plain,
! [Y_87,Z_89,X_88,X_90,Z_91] :
( is_a_theorem(equivalent(X_88,Z_91))
| ~ is_a_theorem(equivalent(Y_87,Z_89))
| ~ is_a_theorem(X_90)
| ~ is_a_theorem(equivalent(equivalent(equivalent(X_90,Z_89),Y_87),Z_91))
| ~ is_a_theorem(X_88) ),
inference(resolution,[status(thm)],[c_17,c_97]) ).
tff(c_532,plain,
! [X_88,Z_10,X_8,X_27] :
( is_a_theorem(equivalent(X_88,Z_10))
| ~ is_a_theorem(equivalent(X_8,Z_10))
| ~ is_a_theorem(X_88)
| ~ is_a_theorem(X_27)
| ~ is_a_theorem(X_8) ),
inference(resolution,[status(thm)],[c_61,c_512]) ).
tff(c_739,plain,
! [X_27] : ~ is_a_theorem(X_27),
inference(splitLeft,[status(thm)],[c_532]) ).
tff(c_773,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_739,c_4]) ).
tff(c_775,plain,
! [X_121,Z_122,X_123] :
( is_a_theorem(equivalent(X_121,Z_122))
| ~ is_a_theorem(equivalent(X_123,Z_122))
| ~ is_a_theorem(X_121)
| ~ is_a_theorem(X_123) ),
inference(splitRight,[status(thm)],[c_532]) ).
tff(c_794,plain,
! [X_124,Y_125,Z_126,X_127] :
( is_a_theorem(equivalent(X_124,equivalent(equivalent(Y_125,Z_126),equivalent(equivalent(X_127,Z_126),Y_125))))
| ~ is_a_theorem(X_124)
| ~ is_a_theorem(X_127) ),
inference(resolution,[status(thm)],[c_4,c_775]) ).
tff(c_63,plain,
! [X_28,Z_29,X_30] :
( is_a_theorem(equivalent(equivalent(equivalent(X_28,Z_29),X_30),Z_29))
| ~ is_a_theorem(X_28)
| ~ is_a_theorem(X_30) ),
inference(resolution,[status(thm)],[c_12,c_48]) ).
tff(c_79,plain,
! [Z_31,X_32,X_33] :
( is_a_theorem(Z_31)
| ~ is_a_theorem(equivalent(equivalent(X_32,Z_31),X_33))
| ~ is_a_theorem(X_32)
| ~ is_a_theorem(X_33) ),
inference(resolution,[status(thm)],[c_63,c_2]) ).
tff(c_96,plain,
! [Z_31,X_32,Y_4,Z_5] :
( is_a_theorem(Z_31)
| ~ is_a_theorem(X_32)
| ~ is_a_theorem(equivalent(equivalent(Y_4,Z_5),equivalent(equivalent(equivalent(X_32,Z_31),Z_5),Y_4))) ),
inference(resolution,[status(thm)],[c_4,c_79]) ).
tff(c_1704,plain,
! [Z_196,X_197,X_198,Z_199] :
( is_a_theorem(Z_196)
| ~ is_a_theorem(X_197)
| ~ is_a_theorem(equivalent(equivalent(equivalent(X_198,Z_199),equivalent(X_197,Z_196)),Z_199))
| ~ is_a_theorem(X_198) ),
inference(resolution,[status(thm)],[c_794,c_96]) ).
tff(c_1964,plain,
! [Z_213,X_214,X_215,Y_216] :
( is_a_theorem(Z_213)
| ~ is_a_theorem(X_214)
| ~ is_a_theorem(X_215)
| ~ is_a_theorem(equivalent(Y_216,equivalent(X_214,Z_213)))
| ~ is_a_theorem(equivalent(X_215,Y_216)) ),
inference(resolution,[status(thm)],[c_17,c_1704]) ).
tff(c_1998,plain,
! [X_3,Z_5,Y_4,X_215] :
( is_a_theorem(equivalent(equivalent(X_3,Z_5),Y_4))
| ~ is_a_theorem(equivalent(Y_4,Z_5))
| ~ is_a_theorem(X_215)
| ~ is_a_theorem(equivalent(X_215,X_3)) ),
inference(resolution,[status(thm)],[c_4,c_1964]) ).
tff(c_8435,plain,
! [Z_386,Z_5,Y_4,Z_385] :
( is_a_theorem(equivalent(equivalent(equivalent(Z_386,Z_386),Z_5),Y_4))
| ~ is_a_theorem(equivalent(Y_4,Z_5))
| ~ is_a_theorem(equivalent(Z_385,Z_385)) ),
inference(resolution,[status(thm)],[c_8377,c_1998]) ).
tff(c_8567,plain,
! [Z_386,Z_5,Y_4] :
( is_a_theorem(equivalent(equivalent(equivalent(Z_386,Z_386),Z_5),Y_4))
| ~ is_a_theorem(equivalent(Y_4,Z_5)) ),
inference(demodulation,[status(thm),theory(equality)],[c_3443,c_8435]) ).
tff(c_2721,plain,
! [X_8,Z_10,X_254] :
( is_a_theorem(equivalent(equivalent(X_8,Z_10),equivalent(X_254,Z_10)))
| ~ is_a_theorem(X_254)
| ~ is_a_theorem(X_8) ),
inference(resolution,[status(thm)],[c_12,c_2667]) ).
tff(c_12329,plain,
! [Z_465,Z_466,Y_467] :
( is_a_theorem(equivalent(equivalent(equivalent(Z_465,Z_465),Z_466),Y_467))
| ~ is_a_theorem(equivalent(Y_467,Z_466)) ),
inference(demodulation,[status(thm),theory(equality)],[c_3443,c_8435]) ).
tff(c_587,plain,
! [X_94,Y_4,Z_5,Z_95] :
( is_a_theorem(X_94)
| ~ is_a_theorem(equivalent(equivalent(equivalent(Y_4,Z_5),equivalent(equivalent(equivalent(X_94,Z_95),Z_5),Y_4)),Z_95)) ),
inference(resolution,[status(thm)],[c_4,c_561]) ).
tff(c_13362,plain,
! [X_487,Y_488,Z_489] :
( is_a_theorem(X_487)
| ~ is_a_theorem(equivalent(Y_488,equivalent(equivalent(equivalent(X_487,Y_488),Z_489),Z_489))) ),
inference(resolution,[status(thm)],[c_12329,c_587]) ).
tff(c_15000,plain,
! [X_515,X_516,Z_517] :
( is_a_theorem(X_515)
| ~ is_a_theorem(equivalent(equivalent(X_515,equivalent(X_516,Z_517)),Z_517))
| ~ is_a_theorem(X_516) ),
inference(resolution,[status(thm)],[c_2721,c_13362]) ).
tff(c_29507,plain,
! [Z_694,Z_695,X_696] :
( is_a_theorem(equivalent(Z_694,Z_695))
| ~ is_a_theorem(equivalent(equivalent(X_696,Z_694),Z_695))
| ~ is_a_theorem(X_696) ),
inference(resolution,[status(thm)],[c_230,c_15000]) ).
tff(c_29579,plain,
! [Z_5,Y_4,Z_386] :
( is_a_theorem(equivalent(Z_5,Y_4))
| ~ is_a_theorem(equivalent(Z_386,Z_386))
| ~ is_a_theorem(equivalent(Y_4,Z_5)) ),
inference(resolution,[status(thm)],[c_8567,c_29507]) ).
tff(c_29764,plain,
! [Z_697,Y_698] :
( is_a_theorem(equivalent(Z_697,Y_698))
| ~ is_a_theorem(equivalent(Y_698,Z_697)) ),
inference(demodulation,[status(thm),theory(equality)],[c_3443,c_29579]) ).
tff(c_61805,plain,
! [Z_985,Z_986,Y_987] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(Z_985,Z_985),Z_986),Y_987),equivalent(Y_987,Z_986))),
inference(resolution,[status(thm)],[c_8794,c_29764]) ).
tff(c_62336,plain,
! [Y_987,Z_986,Z_985] :
( is_a_theorem(equivalent(equivalent(Y_987,Z_986),Y_987))
| ~ is_a_theorem(equivalent(equivalent(Z_985,Z_985),Z_986)) ),
inference(resolution,[status(thm)],[c_61805,c_188]) ).
tff(c_193012,plain,
! [Y_1830,Z_1831,Z_1832] :
( is_a_theorem(equivalent(equivalent(Y_1830,equivalent(Z_1831,Z_1832)),Y_1830))
| ~ is_a_theorem(equivalent(Z_1832,Z_1831)) ),
inference(resolution,[status(thm)],[c_117429,c_62336]) ).
tff(c_72211,plain,
! [X_1047,Z_1048,Z_1049] :
( is_a_theorem(equivalent(equivalent(X_1047,Z_1048),Z_1049))
| ~ is_a_theorem(equivalent(Z_1048,Z_1049))
| ~ is_a_theorem(X_1047) ),
inference(resolution,[status(thm)],[c_230,c_48283]) ).
tff(c_29725,plain,
! [Z_5,Y_4] :
( is_a_theorem(equivalent(Z_5,Y_4))
| ~ is_a_theorem(equivalent(Y_4,Z_5)) ),
inference(demodulation,[status(thm),theory(equality)],[c_3443,c_29579]) ).
tff(c_99726,plain,
! [Z_1260,X_1261,Z_1262] :
( is_a_theorem(equivalent(Z_1260,equivalent(X_1261,Z_1262)))
| ~ is_a_theorem(equivalent(Z_1262,Z_1260))
| ~ is_a_theorem(X_1261) ),
inference(resolution,[status(thm)],[c_72211,c_29725]) ).
tff(c_30993,plain,
! [Y_713,Z_714,X_715] : is_a_theorem(equivalent(equivalent(equivalent(Y_713,Z_714),equivalent(equivalent(X_715,Z_714),Y_713)),X_715)),
inference(resolution,[status(thm)],[c_4,c_29764]) ).
tff(c_31365,plain,
! [Y_713,Z_714,X_715] :
( is_a_theorem(equivalent(Y_713,Z_714))
| ~ is_a_theorem(equivalent(X_715,equivalent(equivalent(X_715,Z_714),Y_713))) ),
inference(resolution,[status(thm)],[c_30993,c_392]) ).
tff(c_106824,plain,
! [Z_1305,Z_1306,Z_1307] :
( is_a_theorem(equivalent(Z_1305,Z_1306))
| ~ is_a_theorem(equivalent(Z_1305,Z_1307))
| ~ is_a_theorem(equivalent(Z_1307,Z_1306)) ),
inference(resolution,[status(thm)],[c_99726,c_31365]) ).
tff(c_107190,plain,
! [X_3,Z_1306,Y_4,Z_5] :
( is_a_theorem(equivalent(X_3,Z_1306))
| ~ is_a_theorem(equivalent(equivalent(equivalent(Y_4,Z_5),equivalent(equivalent(X_3,Z_5),Y_4)),Z_1306)) ),
inference(resolution,[status(thm)],[c_4,c_106824]) ).
tff(c_533443,plain,
! [X_3197,Z_3198,Z_3199] :
( is_a_theorem(equivalent(X_3197,equivalent(Z_3198,Z_3199)))
| ~ is_a_theorem(equivalent(Z_3198,equivalent(X_3197,Z_3199))) ),
inference(resolution,[status(thm)],[c_193012,c_107190]) ).
tff(c_534497,plain,
! [Y_4,Z_5,X_3] : is_a_theorem(equivalent(equivalent(Y_4,Z_5),equivalent(X_3,equivalent(equivalent(X_3,Z_5),Y_4)))),
inference(resolution,[status(thm)],[c_4,c_533443]) ).
tff(c_6,plain,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(c,equivalent(equivalent(c,b),a)))),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_535224,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_534497,c_6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : LCL167-1 : 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
% 0.15/0.35 % Computer : n005.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu Aug 3 14:19:57 EDT 2023
% 0.15/0.35 % CPUTime :
% 158.47/136.51 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 158.47/136.53
% 158.47/136.53 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 158.47/136.58
% 158.47/136.58 Inference rules
% 158.47/136.58 ----------------------
% 158.47/136.58 #Ref : 0
% 158.47/136.58 #Sup : 119380
% 158.47/136.58 #Fact : 0
% 158.47/136.58 #Define : 0
% 158.47/136.58 #Split : 54
% 158.47/136.58 #Chain : 0
% 158.47/136.58 #Close : 0
% 158.47/136.58
% 158.47/136.58 Ordering : KBO
% 158.47/136.58
% 158.47/136.58 Simplification rules
% 158.47/136.58 ----------------------
% 158.47/136.58 #Subsume : 49758
% 158.47/136.58 #Demod : 20784
% 158.47/136.58 #Tautology : 15996
% 158.47/136.58 #SimpNegUnit : 15528
% 158.47/136.58 #BackRed : 1921
% 158.47/136.58
% 158.47/136.58 #Partial instantiations: 0
% 158.47/136.58 #Strategies tried : 1
% 158.47/136.58
% 158.47/136.58 Timing (in seconds)
% 158.47/136.58 ----------------------
% 158.85/136.59 Preprocessing : 0.39
% 158.85/136.59 Parsing : 0.21
% 158.85/136.59 CNF conversion : 0.02
% 158.85/136.59 Main loop : 135.13
% 158.85/136.59 Inferencing : 6.48
% 158.85/136.59 Reduction : 22.05
% 158.85/136.59 Demodulation : 19.04
% 158.85/136.59 BG Simplification : 0.41
% 158.85/136.59 Subsumption : 99.32
% 158.85/136.59 Abstraction : 0.75
% 158.85/136.59 MUC search : 0.00
% 158.85/136.59 Cooper : 0.00
% 158.85/136.59 Total : 135.60
% 158.85/136.59 Index Insertion : 0.00
% 158.85/136.59 Index Deletion : 0.00
% 158.85/136.59 Index Matching : 0.00
% 158.85/136.59 BG Taut test : 0.00
%------------------------------------------------------------------------------