TSTP Solution File: LCL121-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LCL121-1 : 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 : n027.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 10:47:26 EDT 2023
% Result : Unsatisfiable 285.52s 223.67s
% Output : CNFRefutation 285.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 8
% Syntax : Number of formulae : 74 ( 26 unt; 5 typ; 0 def)
% Number of atoms : 126 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 117 ( 60 ~; 57 |; 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 : 246 (; 246 !; 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_37,axiom,
! [X,Y,Z,U] : is_a_theorem(equivalent(X,equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U)))))),
file(unknown,unknown) ).
tff(f_35,axiom,
! [X,Y] :
( ~ is_a_theorem(equivalent(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ),
file(unknown,unknown) ).
tff(f_39,axiom,
~ is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,equivalent(c,c)),b)))),
file(unknown,unknown) ).
tff(c_4,plain,
! [X_3,Y_4,Z_5,U_6] : is_a_theorem(equivalent(X_3,equivalent(X_3,equivalent(equivalent(Y_4,Z_5),equivalent(equivalent(Y_4,U_6),equivalent(Z_5,U_6)))))),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_8,plain,
! [X_9,Y_10,Z_11,U_12] : is_a_theorem(equivalent(X_9,equivalent(X_9,equivalent(equivalent(Y_10,Z_11),equivalent(equivalent(Y_10,U_12),equivalent(Z_11,U_12)))))),
inference(cnfTransformation,[status(thm)],[f_37]) ).
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_35]) ).
tff(c_13,plain,
! [X_13,Y_14,Z_15,U_16] :
( is_a_theorem(equivalent(X_13,equivalent(equivalent(Y_14,Z_15),equivalent(equivalent(Y_14,U_16),equivalent(Z_15,U_16)))))
| ~ is_a_theorem(X_13) ),
inference(resolution,[status(thm)],[c_8,c_2]) ).
tff(c_17,plain,
! [Y_14,Z_15,U_16,X_13] :
( is_a_theorem(equivalent(equivalent(Y_14,Z_15),equivalent(equivalent(Y_14,U_16),equivalent(Z_15,U_16))))
| ~ is_a_theorem(X_13) ),
inference(resolution,[status(thm)],[c_13,c_2]) ).
tff(c_18,plain,
! [X_13] : ~ is_a_theorem(X_13),
inference(splitLeft,[status(thm)],[c_17]) ).
tff(c_22,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18,c_4]) ).
tff(c_23,plain,
! [Y_14,Z_15,U_16] : is_a_theorem(equivalent(equivalent(Y_14,Z_15),equivalent(equivalent(Y_14,U_16),equivalent(Z_15,U_16)))),
inference(splitRight,[status(thm)],[c_17]) ).
tff(c_12,plain,
! [X_9,Y_10,Z_11,U_12] :
( is_a_theorem(equivalent(X_9,equivalent(equivalent(Y_10,Z_11),equivalent(equivalent(Y_10,U_12),equivalent(Z_11,U_12)))))
| ~ is_a_theorem(X_9) ),
inference(resolution,[status(thm)],[c_8,c_2]) ).
tff(c_24,plain,
! [Y_17,Z_18,U_19] : is_a_theorem(equivalent(equivalent(Y_17,Z_18),equivalent(equivalent(Y_17,U_19),equivalent(Z_18,U_19)))),
inference(splitRight,[status(thm)],[c_17]) ).
tff(c_29,plain,
! [Y_20,U_21,Z_22] :
( is_a_theorem(equivalent(equivalent(Y_20,U_21),equivalent(Z_22,U_21)))
| ~ is_a_theorem(equivalent(Y_20,Z_22)) ),
inference(resolution,[status(thm)],[c_24,c_2]) ).
tff(c_34,plain,
! [Z_23,U_24,Y_25] :
( is_a_theorem(equivalent(Z_23,U_24))
| ~ is_a_theorem(equivalent(Y_25,U_24))
| ~ is_a_theorem(equivalent(Y_25,Z_23)) ),
inference(resolution,[status(thm)],[c_29,c_2]) ).
tff(c_74,plain,
! [Z_35,Y_36,U_37,Z_38] :
( is_a_theorem(equivalent(Z_35,equivalent(equivalent(Y_36,U_37),equivalent(Z_38,U_37))))
| ~ is_a_theorem(equivalent(equivalent(Y_36,Z_38),Z_35)) ),
inference(resolution,[status(thm)],[c_23,c_34]) ).
tff(c_105,plain,
! [Y_43,U_44,Z_45,Z_46] :
( is_a_theorem(equivalent(equivalent(Y_43,U_44),equivalent(Z_45,U_44)))
| ~ is_a_theorem(Z_46)
| ~ is_a_theorem(equivalent(equivalent(Y_43,Z_45),Z_46)) ),
inference(resolution,[status(thm)],[c_74,c_2]) ).
tff(c_211,plain,
! [Y_64,U_65,Z_66,U_67] :
( is_a_theorem(equivalent(equivalent(Y_64,U_65),equivalent(Z_66,U_65)))
| ~ is_a_theorem(equivalent(equivalent(Y_64,U_67),equivalent(Z_66,U_67))) ),
inference(resolution,[status(thm)],[c_23,c_105]) ).
tff(c_1744,plain,
! [Z_231,Y_232,Y_228,U_229,U_230] :
( is_a_theorem(equivalent(equivalent(Y_232,U_230),equivalent(equivalent(Y_228,Z_231),U_230)))
| ~ is_a_theorem(equivalent(Y_232,equivalent(equivalent(Y_228,U_229),equivalent(Z_231,U_229)))) ),
inference(resolution,[status(thm)],[c_12,c_211]) ).
tff(c_1802,plain,
! [Y_233,Z_234,U_235] : is_a_theorem(equivalent(equivalent(equivalent(Y_233,Z_234),U_235),equivalent(equivalent(Y_233,Z_234),U_235))),
inference(resolution,[status(thm)],[c_23,c_1744]) ).
tff(c_28,plain,
! [Y_17,U_19,Z_18] :
( is_a_theorem(equivalent(equivalent(Y_17,U_19),equivalent(Z_18,U_19)))
| ~ is_a_theorem(equivalent(Y_17,Z_18)) ),
inference(resolution,[status(thm)],[c_24,c_2]) ).
tff(c_55,plain,
! [Z_31,Z_32,U_33,Y_34] :
( is_a_theorem(equivalent(Z_31,equivalent(Z_32,U_33)))
| ~ is_a_theorem(equivalent(equivalent(Y_34,U_33),Z_31))
| ~ is_a_theorem(equivalent(Y_34,Z_32)) ),
inference(resolution,[status(thm)],[c_28,c_34]) ).
tff(c_130,plain,
! [Y_47,U_48,Z_49,Z_50] :
( is_a_theorem(equivalent(equivalent(equivalent(Y_47,U_48),equivalent(Z_49,U_48)),equivalent(Z_50,Z_49)))
| ~ is_a_theorem(equivalent(Y_47,Z_50)) ),
inference(resolution,[status(thm)],[c_23,c_55]) ).
tff(c_33,plain,
! [Z_22,U_21,Y_20] :
( is_a_theorem(equivalent(Z_22,U_21))
| ~ is_a_theorem(equivalent(Y_20,U_21))
| ~ is_a_theorem(equivalent(Y_20,Z_22)) ),
inference(resolution,[status(thm)],[c_29,c_2]) ).
tff(c_614,plain,
! [Z_123,Y_122,Z_125,U_121,Z_124] :
( is_a_theorem(equivalent(Z_125,equivalent(Z_124,Z_123)))
| ~ is_a_theorem(equivalent(equivalent(equivalent(Y_122,U_121),equivalent(Z_123,U_121)),Z_125))
| ~ is_a_theorem(equivalent(Y_122,Z_124)) ),
inference(resolution,[status(thm)],[c_130,c_33]) ).
tff(c_776,plain,
! [Z_142,Y_141,U_145,Z_144,U_143] :
( is_a_theorem(equivalent(equivalent(equivalent(equivalent(Y_141,U_145),U_143),equivalent(equivalent(Z_144,U_145),U_143)),equivalent(Z_142,Z_144)))
| ~ is_a_theorem(equivalent(Y_141,Z_142)) ),
inference(resolution,[status(thm)],[c_23,c_614]) ).
tff(c_828,plain,
! [Z_142,Y_141,U_145,Z_144,U_143] :
( is_a_theorem(equivalent(Z_142,Z_144))
| ~ is_a_theorem(equivalent(equivalent(equivalent(Y_141,U_145),U_143),equivalent(equivalent(Z_144,U_145),U_143)))
| ~ is_a_theorem(equivalent(Y_141,Z_142)) ),
inference(resolution,[status(thm)],[c_776,c_2]) ).
tff(c_1901,plain,
! [Z_236,Y_237] :
( is_a_theorem(equivalent(Z_236,Y_237))
| ~ is_a_theorem(equivalent(Y_237,Z_236)) ),
inference(resolution,[status(thm)],[c_1802,c_828]) ).
tff(c_1959,plain,
! [X_3,Y_4,Z_5,U_6] : is_a_theorem(equivalent(equivalent(X_3,equivalent(equivalent(Y_4,Z_5),equivalent(equivalent(Y_4,U_6),equivalent(Z_5,U_6)))),X_3)),
inference(resolution,[status(thm)],[c_4,c_1901]) ).
tff(c_229,plain,
! [Y_64,U_65,Z_11,Y_10,U_12] :
( is_a_theorem(equivalent(equivalent(Y_64,U_65),equivalent(equivalent(Y_10,Z_11),U_65)))
| ~ is_a_theorem(equivalent(Y_64,equivalent(equivalent(Y_10,U_12),equivalent(Z_11,U_12)))) ),
inference(resolution,[status(thm)],[c_12,c_211]) ).
tff(c_2665,plain,
! [Y_262,Z_263,Z_264,U_265] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(Y_262,Z_263),equivalent(Z_264,Z_263)),U_265),equivalent(equivalent(Y_262,Z_264),U_265))),
inference(resolution,[status(thm)],[c_1802,c_229]) ).
tff(c_146,plain,
! [Z_50,Z_49,Y_47,U_48] :
( is_a_theorem(equivalent(Z_50,Z_49))
| ~ is_a_theorem(equivalent(equivalent(Y_47,U_48),equivalent(Z_49,U_48)))
| ~ is_a_theorem(equivalent(Y_47,Z_50)) ),
inference(resolution,[status(thm)],[c_130,c_2]) ).
tff(c_3697,plain,
! [Z_306,Y_307,Z_308,Z_309] :
( is_a_theorem(equivalent(Z_306,equivalent(Y_307,Z_308)))
| ~ is_a_theorem(equivalent(equivalent(equivalent(Y_307,Z_309),equivalent(Z_308,Z_309)),Z_306)) ),
inference(resolution,[status(thm)],[c_2665,c_146]) ).
tff(c_5182,plain,
! [Y_348,Y_349,U_350,Z_351] : is_a_theorem(equivalent(equivalent(Y_348,equivalent(equivalent(Y_349,U_350),equivalent(Z_351,U_350))),equivalent(Y_348,equivalent(Y_349,Z_351)))),
inference(resolution,[status(thm)],[c_1959,c_3697]) ).
tff(c_2770,plain,
! [Z_50,Y_262,Z_264,Z_263] :
( is_a_theorem(equivalent(Z_50,equivalent(Y_262,Z_264)))
| ~ is_a_theorem(equivalent(equivalent(equivalent(Y_262,Z_263),equivalent(Z_264,Z_263)),Z_50)) ),
inference(resolution,[status(thm)],[c_2665,c_146]) ).
tff(c_5289,plain,
! [Y_262,Z_351,U_350,Y_349] : is_a_theorem(equivalent(equivalent(equivalent(Y_262,equivalent(Z_351,U_350)),equivalent(Y_349,Z_351)),equivalent(Y_262,equivalent(Y_349,U_350)))),
inference(resolution,[status(thm)],[c_5182,c_2770]) ).
tff(c_3793,plain,
! [Y_307,Y_4,U_6,Z_5] : is_a_theorem(equivalent(equivalent(Y_307,equivalent(equivalent(Y_4,U_6),equivalent(Z_5,U_6))),equivalent(Y_307,equivalent(Y_4,Z_5)))),
inference(resolution,[status(thm)],[c_1959,c_3697]) ).
tff(c_1871,plain,
! [Z_142,Y_233] :
( is_a_theorem(equivalent(Z_142,Y_233))
| ~ is_a_theorem(equivalent(Y_233,Z_142)) ),
inference(resolution,[status(thm)],[c_1802,c_828]) ).
tff(c_3820,plain,
! [Y_310,Z_311,U_312,Z_313] : is_a_theorem(equivalent(equivalent(equivalent(Y_310,Z_311),U_312),equivalent(equivalent(equivalent(Y_310,Z_313),equivalent(Z_311,Z_313)),U_312))),
inference(resolution,[status(thm)],[c_2665,c_1871]) ).
tff(c_6890,plain,
! [Y_401,Z_402,Z_403,Z_404] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(Y_401,Z_402),equivalent(Z_403,Z_402)),equivalent(Z_404,Z_403)),equivalent(Y_401,Z_404))),
inference(resolution,[status(thm)],[c_3820,c_2770]) ).
tff(c_8005,plain,
! [Y_436,Z_437,Z_438,Z_439] :
( is_a_theorem(equivalent(Y_436,Z_437))
| ~ is_a_theorem(equivalent(equivalent(equivalent(Y_436,Z_438),equivalent(Z_439,Z_438)),equivalent(Z_437,Z_439))) ),
inference(resolution,[status(thm)],[c_6890,c_2]) ).
tff(c_8069,plain,
! [Y_440,Z_441] : is_a_theorem(equivalent(Y_440,equivalent(Y_440,equivalent(Z_441,Z_441)))),
inference(resolution,[status(thm)],[c_3793,c_8005]) ).
tff(c_169234,plain,
! [Y_2074,Z_2075,Z_2076,Z_2077] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(Y_2074,Z_2075),equivalent(Z_2076,Z_2075)),equivalent(Z_2077,Z_2077)),equivalent(Y_2074,Z_2076))),
inference(resolution,[status(thm)],[c_8069,c_2770]) ).
tff(c_252473,plain,
! [Z_2546,Z_2547,Z_2548,Z_2549] :
( is_a_theorem(equivalent(Z_2546,Z_2547))
| ~ is_a_theorem(equivalent(equivalent(equivalent(Z_2547,equivalent(equivalent(Z_2548,Z_2548),Z_2549)),Z_2549),Z_2546)) ),
inference(resolution,[status(thm)],[c_169234,c_828]) ).
tff(c_254159,plain,
! [Y_2560,Y_2561,Z_2562] : is_a_theorem(equivalent(equivalent(Y_2560,equivalent(Y_2561,equivalent(Y_2561,equivalent(Z_2562,Z_2562)))),Y_2560)),
inference(resolution,[status(thm)],[c_5289,c_252473]) ).
tff(c_4806,plain,
! [Y_336,Z_337,U_338,Z_339] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(Y_336,Z_337),U_338),equivalent(equivalent(Z_339,Z_337),U_338)),equivalent(Y_336,Z_339))),
inference(resolution,[status(thm)],[c_23,c_3697]) ).
tff(c_1956,plain,
! [Z_18,U_19,Y_17] :
( is_a_theorem(equivalent(equivalent(Z_18,U_19),equivalent(Y_17,U_19)))
| ~ is_a_theorem(equivalent(Y_17,Z_18)) ),
inference(resolution,[status(thm)],[c_28,c_1901]) ).
tff(c_44,plain,
! [Z_23,Y_14,U_16,Z_15] :
( is_a_theorem(equivalent(Z_23,equivalent(equivalent(Y_14,U_16),equivalent(Z_15,U_16))))
| ~ is_a_theorem(equivalent(equivalent(Y_14,Z_15),Z_23)) ),
inference(resolution,[status(thm)],[c_23,c_34]) ).
tff(c_3226,plain,
! [Y_288,U_289,Z_290,Z_291] :
( is_a_theorem(equivalent(equivalent(equivalent(Y_288,U_289),equivalent(Z_290,U_289)),Z_291))
| ~ is_a_theorem(equivalent(equivalent(Y_288,Z_290),Z_291)) ),
inference(resolution,[status(thm)],[c_44,c_1901]) ).
tff(c_3956,plain,
! [Z_314,Y_315,U_316,Z_317] :
( is_a_theorem(Z_314)
| ~ is_a_theorem(equivalent(equivalent(Y_315,U_316),equivalent(Z_317,U_316)))
| ~ is_a_theorem(equivalent(equivalent(Y_315,Z_317),Z_314)) ),
inference(resolution,[status(thm)],[c_3226,c_2]) ).
tff(c_4016,plain,
! [Z_314,Z_18,Y_17] :
( is_a_theorem(Z_314)
| ~ is_a_theorem(equivalent(equivalent(Z_18,Y_17),Z_314))
| ~ is_a_theorem(equivalent(Y_17,Z_18)) ),
inference(resolution,[status(thm)],[c_1956,c_3956]) ).
tff(c_4901,plain,
! [Y_336,Z_339,Z_337,U_338] :
( is_a_theorem(equivalent(Y_336,Z_339))
| ~ is_a_theorem(equivalent(equivalent(equivalent(Z_339,Z_337),U_338),equivalent(equivalent(Y_336,Z_337),U_338))) ),
inference(resolution,[status(thm)],[c_4806,c_4016]) ).
tff(c_255025,plain,
! [Y_336,Y_2561,Z_2562] : is_a_theorem(equivalent(Y_336,equivalent(Y_336,equivalent(Y_2561,equivalent(Y_2561,equivalent(Z_2562,Z_2562)))))),
inference(resolution,[status(thm)],[c_254159,c_4901]) ).
tff(c_47,plain,
! [X_26,Z_28,U_29,Z_27,Y_30] :
( is_a_theorem(equivalent(Z_28,equivalent(X_26,equivalent(equivalent(Y_30,Z_27),equivalent(equivalent(Y_30,U_29),equivalent(Z_27,U_29))))))
| ~ is_a_theorem(equivalent(X_26,Z_28)) ),
inference(resolution,[status(thm)],[c_4,c_34]) ).
tff(c_3483,plain,
! [Z_300,X_297,Z_301,U_298,Z_296,Y_299] :
( is_a_theorem(equivalent(Z_301,equivalent(X_297,equivalent(equivalent(Y_299,Z_300),equivalent(equivalent(Y_299,U_298),equivalent(Z_300,U_298))))))
| ~ is_a_theorem(equivalent(Z_296,Z_301))
| ~ is_a_theorem(equivalent(X_297,Z_296)) ),
inference(resolution,[status(thm)],[c_47,c_33]) ).
tff(c_31013,plain,
! [X_761,Y_760,Z_762,Z_756,Y_757,U_758,U_759] :
( is_a_theorem(equivalent(equivalent(equivalent(Y_757,U_759),equivalent(Z_756,U_759)),equivalent(X_761,equivalent(equivalent(Y_760,Z_762),equivalent(equivalent(Y_760,U_758),equivalent(Z_762,U_758))))))
| ~ is_a_theorem(equivalent(X_761,equivalent(Y_757,Z_756))) ),
inference(resolution,[status(thm)],[c_23,c_3483]) ).
tff(c_125,plain,
! [Y_14,U_44,Z_15,U_16] :
( is_a_theorem(equivalent(equivalent(Y_14,U_44),equivalent(Z_15,U_44)))
| ~ is_a_theorem(equivalent(equivalent(Y_14,U_16),equivalent(Z_15,U_16))) ),
inference(resolution,[status(thm)],[c_23,c_105]) ).
tff(c_703978,plain,
! [Y_4277,Z_4280,U_4278,U_4276,Y_4279,X_4275] :
( is_a_theorem(equivalent(equivalent(equivalent(Y_4279,equivalent(equivalent(Y_4277,U_4278),equivalent(Z_4280,U_4278))),U_4276),equivalent(X_4275,U_4276)))
| ~ is_a_theorem(equivalent(X_4275,equivalent(Y_4279,equivalent(Y_4277,Z_4280)))) ),
inference(resolution,[status(thm)],[c_31013,c_125]) ).
tff(c_2777,plain,
! [Y_262,Z_264,U_265,Z_263] :
( is_a_theorem(equivalent(equivalent(Y_262,Z_264),U_265))
| ~ is_a_theorem(equivalent(equivalent(equivalent(Y_262,Z_263),equivalent(Z_264,Z_263)),U_265)) ),
inference(resolution,[status(thm)],[c_2665,c_2]) ).
tff(c_170855,plain,
! [Y_2085,Z_2086,Z_2087,Z_2088] : is_a_theorem(equivalent(equivalent(Y_2085,Z_2086),equivalent(equivalent(equivalent(Y_2085,Z_2087),equivalent(Z_2086,Z_2087)),equivalent(Z_2088,Z_2088)))),
inference(resolution,[status(thm)],[c_8069,c_2777]) ).
tff(c_1954,plain,
! [Y_14,U_16,Z_15,Z_23] :
( is_a_theorem(equivalent(equivalent(equivalent(Y_14,U_16),equivalent(Z_15,U_16)),Z_23))
| ~ is_a_theorem(equivalent(equivalent(Y_14,Z_15),Z_23)) ),
inference(resolution,[status(thm)],[c_44,c_1901]) ).
tff(c_4172,plain,
! [Z_320,Z_321,Y_322] :
( is_a_theorem(Z_320)
| ~ is_a_theorem(equivalent(equivalent(Z_321,Y_322),Z_320))
| ~ is_a_theorem(equivalent(Y_322,Z_321)) ),
inference(resolution,[status(thm)],[c_1956,c_3956]) ).
tff(c_4264,plain,
! [Z_23,Z_15,U_16,Y_14] :
( is_a_theorem(Z_23)
| ~ is_a_theorem(equivalent(equivalent(Z_15,U_16),equivalent(Y_14,U_16)))
| ~ is_a_theorem(equivalent(equivalent(Y_14,Z_15),Z_23)) ),
inference(resolution,[status(thm)],[c_1954,c_4172]) ).
tff(c_171524,plain,
! [Z_23,Y_2085,Z_2087,Z_2088] :
( is_a_theorem(Z_23)
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(Y_2085,Z_2087),equivalent(equivalent(Z_2088,Z_2088),Z_2087)),Y_2085),Z_23)) ),
inference(resolution,[status(thm)],[c_170855,c_4264]) ).
tff(c_713747,plain,
! [X_4299,U_4300,Z_4301,U_4302] :
( is_a_theorem(equivalent(X_4299,U_4300))
| ~ is_a_theorem(equivalent(X_4299,equivalent(equivalent(U_4300,equivalent(Z_4301,U_4302)),equivalent(U_4302,Z_4301)))) ),
inference(resolution,[status(thm)],[c_703978,c_171524]) ).
tff(c_715210,plain,
! [U_4303,Y_4304,Z_4305] : is_a_theorem(equivalent(equivalent(U_4303,equivalent(equivalent(Y_4304,equivalent(Z_4305,Z_4305)),Y_4304)),U_4303)),
inference(resolution,[status(thm)],[c_255025,c_713747]) ).
tff(c_716716,plain,
! [Y_336,Y_4304,Z_4305] : is_a_theorem(equivalent(Y_336,equivalent(Y_336,equivalent(equivalent(Y_4304,equivalent(Z_4305,Z_4305)),Y_4304)))),
inference(resolution,[status(thm)],[c_715210,c_4901]) ).
tff(c_6,plain,
~ is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,equivalent(c,c)),b)))),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_716948,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_716716,c_6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL121-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % 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
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 3 13:53:39 EDT 2023
% 0.13/0.35 % CPUTime :
% 285.52/223.67 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 285.52/223.68
% 285.52/223.68 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 285.52/223.73
% 285.52/223.73 Inference rules
% 285.52/223.73 ----------------------
% 285.52/223.73 #Ref : 0
% 285.52/223.73 #Sup : 174944
% 285.52/223.73 #Fact : 0
% 285.52/223.73 #Define : 0
% 285.52/223.73 #Split : 3
% 285.52/223.73 #Chain : 0
% 285.52/223.73 #Close : 0
% 285.52/223.73
% 285.52/223.73 Ordering : KBO
% 285.52/223.73
% 285.52/223.73 Simplification rules
% 285.52/223.73 ----------------------
% 285.52/223.73 #Subsume : 22593
% 285.52/223.73 #Demod : 31126
% 285.52/223.73 #Tautology : 21737
% 285.52/223.73 #SimpNegUnit : 78
% 285.52/223.73 #BackRed : 10
% 285.52/223.73
% 285.52/223.73 #Partial instantiations: 0
% 285.52/223.73 #Strategies tried : 1
% 285.52/223.73
% 285.52/223.73 Timing (in seconds)
% 285.52/223.73 ----------------------
% 285.52/223.73 Preprocessing : 0.43
% 285.52/223.73 Parsing : 0.23
% 285.52/223.73 CNF conversion : 0.02
% 285.52/223.73 Main loop : 222.21
% 285.52/223.74 Inferencing : 10.37
% 285.52/223.74 Reduction : 46.87
% 285.52/223.74 Demodulation : 42.09
% 285.52/223.74 BG Simplification : 0.74
% 285.52/223.74 Subsumption : 149.75
% 285.52/223.74 Abstraction : 2.83
% 285.52/223.74 MUC search : 0.00
% 285.52/223.74 Cooper : 0.00
% 285.52/223.74 Total : 222.72
% 285.52/223.74 Index Insertion : 0.00
% 285.52/223.74 Index Deletion : 0.00
% 285.52/223.74 Index Matching : 0.00
% 285.52/223.74 BG Taut test : 0.00
%------------------------------------------------------------------------------