TSTP Solution File: LCL053-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : LCL053-1 : 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 : n018.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 10:47:15 EDT 2023

% Result   : Unsatisfiable 59.19s 47.01s
% Output   : CNFRefutation 59.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   84 (  30 unt;   5 typ;   0 def)
%            Number of atoms       :  144 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  133 (  68   ~;  65   |;   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   :  204 (; 204   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ is_a_theorem > implies > #nlpp > not > 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(not,type,
    not: $i > $i ).

tff(implies,type,
    implies: ( $i * $i ) > $i ).

tff(f_44,axiom,
    ! [X,Y] : is_a_theorem(implies(X,implies(not(X),Y))),
    file(unknown,unknown) ).

tff(f_42,axiom,
    ! [X] : is_a_theorem(implies(implies(not(X),X),X)),
    file(unknown,unknown) ).

tff(f_40,axiom,
    ! [X,Y,Z] : is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))),
    file(unknown,unknown) ).

tff(f_38,axiom,
    ! [X,Y] :
      ( ~ is_a_theorem(implies(X,Y))
      | ~ is_a_theorem(X)
      | is_a_theorem(Y) ),
    file(unknown,unknown) ).

tff(f_46,axiom,
    ~ is_a_theorem(implies(implies(a,implies(a,b)),implies(a,b))),
    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_44]) ).

tff(c_6,plain,
    ! [X_6] : is_a_theorem(implies(implies(not(X_6),X_6),X_6)),
    inference(cnfTransformation,[status(thm)],[f_42]) ).

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_40]) ).

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_38]) ).

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_182,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_8021,plain,
    ! [X_382,Z_383,Y_384,Y_385] :
      ( is_a_theorem(implies(not(implies(X_382,Z_383)),Y_384))
      | ~ is_a_theorem(implies(Y_385,Z_383))
      | ~ is_a_theorem(implies(X_382,Y_385)) ),
    inference(resolution,[status(thm)],[c_39,c_182]) ).

tff(c_11075,plain,
    ! [X_466,X_467,Y_468] :
      ( is_a_theorem(implies(not(implies(X_466,X_467)),Y_468))
      | ~ is_a_theorem(implies(X_466,implies(not(X_467),X_467))) ),
    inference(resolution,[status(thm)],[c_6,c_8021]) ).

tff(c_14610,plain,
    ! [X_532,Y_533] : is_a_theorem(implies(not(implies(implies(not(X_532),X_532),X_532)),Y_533)),
    inference(resolution,[status(thm)],[c_108,c_11075]) ).

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_38]) ).

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_257,plain,
    ! [X_54,X_55,Z_56,Y_57] :
      ( is_a_theorem(implies(X_54,implies(X_55,Z_56)))
      | ~ is_a_theorem(implies(X_54,implies(Y_57,Z_56)))
      | ~ is_a_theorem(implies(X_55,Y_57)) ),
    inference(resolution,[status(thm)],[c_39,c_45]) ).

tff(c_297,plain,
    ! [X_58,X_59,Y_60] :
      ( is_a_theorem(implies(X_58,implies(X_59,Y_60)))
      | ~ is_a_theorem(implies(X_59,not(X_58))) ),
    inference(resolution,[status(thm)],[c_8,c_257]) ).

tff(c_323,plain,
    ! [X_61,X_62,Y_63] :
      ( is_a_theorem(implies(X_61,implies(not(X_62),Y_63)))
      | ~ is_a_theorem(X_62) ),
    inference(resolution,[status(thm)],[c_21,c_297]) ).

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_351,plain,
    ! [X_64,Y_65] :
      ( is_a_theorem(implies(X_64,Y_65))
      | ~ is_a_theorem(Y_65) ),
    inference(resolution,[status(thm)],[c_323,c_59]) ).

tff(c_394,plain,
    ! [X_64,X_6] :
      ( is_a_theorem(implies(X_64,X_6))
      | ~ is_a_theorem(implies(not(X_6),X_6)) ),
    inference(resolution,[status(thm)],[c_351,c_59]) ).

tff(c_14819,plain,
    ! [X_64,X_532] : is_a_theorem(implies(X_64,implies(implies(not(X_532),X_532),X_532))),
    inference(resolution,[status(thm)],[c_14610,c_394]) ).

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_40]) ).

tff(c_1906,plain,
    ! [X_154,Y_155,X_156,Z_157] :
      ( is_a_theorem(implies(implies(X_154,Y_155),implies(X_156,implies(X_154,Z_157))))
      | ~ is_a_theorem(implies(X_156,implies(Y_155,Z_157))) ),
    inference(resolution,[status(thm)],[c_4,c_257]) ).

tff(c_15542,plain,
    ! [X_545,Y_546,Z_547] :
      ( is_a_theorem(implies(implies(X_545,Y_546),implies(X_545,Z_547)))
      | ~ is_a_theorem(implies(not(implies(X_545,Z_547)),implies(Y_546,Z_547))) ),
    inference(resolution,[status(thm)],[c_1906,c_59]) ).

tff(c_15679,plain,
    ! [X_545,X_532] : is_a_theorem(implies(implies(X_545,implies(not(X_532),X_532)),implies(X_545,X_532))),
    inference(resolution,[status(thm)],[c_14819,c_15542]) ).

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_3447,plain,
    ! [X_247,X_248,X_250,Z_249,Y_251] :
      ( is_a_theorem(implies(X_247,implies(X_250,implies(X_248,Z_249))))
      | ~ is_a_theorem(implies(X_250,implies(Y_251,Z_249)))
      | ~ is_a_theorem(implies(X_247,implies(X_248,Y_251))) ),
    inference(resolution,[status(thm)],[c_57,c_257]) ).

tff(c_11728,plain,
    ! [X_474,X_475,X_476,Y_477] :
      ( is_a_theorem(implies(X_474,implies(X_475,implies(X_476,Y_477))))
      | ~ is_a_theorem(implies(X_474,implies(X_476,not(X_475)))) ),
    inference(resolution,[status(thm)],[c_8,c_3447]) ).

tff(c_18165,plain,
    ! [X_590,X_591,Y_592] : is_a_theorem(implies(implies(X_590,not(X_591)),implies(X_591,implies(X_590,Y_592)))),
    inference(resolution,[status(thm)],[c_108,c_11728]) ).

tff(c_2147,plain,
    ! [Y_173,Z_174,X_175,X_176] :
      ( is_a_theorem(implies(implies(Y_173,Z_174),implies(X_175,Z_174)))
      | ~ is_a_theorem(implies(X_175,X_176))
      | ~ is_a_theorem(implies(X_176,Y_173)) ),
    inference(resolution,[status(thm)],[c_39,c_257]) ).

tff(c_2225,plain,
    ! [Y_173,Z_174,X_7,Y_8] :
      ( is_a_theorem(implies(implies(Y_173,Z_174),implies(X_7,Z_174)))
      | ~ is_a_theorem(implies(implies(not(X_7),Y_8),Y_173)) ),
    inference(resolution,[status(thm)],[c_8,c_2147]) ).

tff(c_150848,plain,
    ! [X_2189,X_2190,Y_2191,Z_2192] : is_a_theorem(implies(implies(implies(X_2189,implies(not(X_2190),Y_2191)),Z_2192),implies(X_2190,Z_2192))),
    inference(resolution,[status(thm)],[c_18165,c_2225]) ).

tff(c_347,plain,
    ! [X_61,Y_63] :
      ( is_a_theorem(implies(X_61,Y_63))
      | ~ is_a_theorem(Y_63) ),
    inference(resolution,[status(thm)],[c_323,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_687,plain,
    ! [Z_89,Y_90] :
      ( is_a_theorem(Z_89)
      | ~ is_a_theorem(implies(Y_90,Z_89))
      | ~ is_a_theorem(implies(not(Z_89),Y_90)) ),
    inference(resolution,[status(thm)],[c_157,c_2]) ).

tff(c_737,plain,
    ! [Z_89,Y_63] :
      ( is_a_theorem(Z_89)
      | ~ is_a_theorem(implies(Y_63,Z_89))
      | ~ is_a_theorem(Y_63) ),
    inference(resolution,[status(thm)],[c_347,c_687]) ).

tff(c_165165,plain,
    ! [X_2304,Z_2305,X_2306,Y_2307] :
      ( is_a_theorem(implies(X_2304,Z_2305))
      | ~ is_a_theorem(implies(implies(X_2306,implies(not(X_2304),Y_2307)),Z_2305)) ),
    inference(resolution,[status(thm)],[c_150848,c_737]) ).

tff(c_166363,plain,
    ! [X_2308,X_2309] : is_a_theorem(implies(X_2308,implies(X_2309,X_2308))),
    inference(resolution,[status(thm)],[c_15679,c_165165]) ).

tff(c_3568,plain,
    ! [X_247,X_7,X_248,Y_8] :
      ( is_a_theorem(implies(X_247,implies(X_7,implies(X_248,Y_8))))
      | ~ is_a_theorem(implies(X_247,implies(X_248,not(X_7)))) ),
    inference(resolution,[status(thm)],[c_8,c_3447]) ).

tff(c_169637,plain,
    ! [X_2337,X_2338,Y_2339] : is_a_theorem(implies(not(X_2337),implies(X_2337,implies(X_2338,Y_2339)))),
    inference(resolution,[status(thm)],[c_166363,c_3568]) ).

tff(c_528,plain,
    ! [X_75] : is_a_theorem(implies(implies(not(implies(not(X_75),X_75)),implies(not(X_75),X_75)),X_75)),
    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_554,plain,
    ! [X_23,X_75] :
      ( is_a_theorem(implies(X_23,X_75))
      | ~ is_a_theorem(implies(X_23,implies(not(implies(not(X_75),X_75)),implies(not(X_75),X_75)))) ),
    inference(resolution,[status(thm)],[c_528,c_44]) ).

tff(c_170345,plain,
    ! [Y_2347] : is_a_theorem(implies(not(not(implies(not(Y_2347),Y_2347))),Y_2347)),
    inference(resolution,[status(thm)],[c_169637,c_554]) ).

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_3025,plain,
    ! [Y_231,Z_232,X_233,Y_234] :
      ( is_a_theorem(implies(implies(Y_231,Z_232),implies(X_233,Z_232)))
      | ~ is_a_theorem(implies(implies(not(X_233),Y_234),Y_231)) ),
    inference(resolution,[status(thm)],[c_8,c_2147]) ).

tff(c_3569,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_3025]) ).

tff(c_3739,plain,
    ! [X_261,Z_262,Y_263] :
      ( is_a_theorem(implies(X_261,Z_262))
      | ~ is_a_theorem(implies(implies(not(X_261),Y_263),Z_262)) ),
    inference(resolution,[status(thm)],[c_3569,c_737]) ).

tff(c_3892,plain,
    ! [X_261,Z_20] :
      ( is_a_theorem(implies(X_261,Z_20))
      | ~ is_a_theorem(implies(not(Z_20),not(X_261))) ),
    inference(resolution,[status(thm)],[c_105,c_3739]) ).

tff(c_183067,plain,
    ! [X_2431] : is_a_theorem(implies(X_2431,not(implies(not(not(X_2431)),not(X_2431))))),
    inference(resolution,[status(thm)],[c_170345,c_3892]) ).

tff(c_1231,plain,
    ! [X_117,X_118,Y_119,X_120] :
      ( is_a_theorem(implies(X_117,implies(not(X_118),Y_119)))
      | ~ is_a_theorem(implies(X_117,X_120))
      | ~ is_a_theorem(implies(X_120,X_118)) ),
    inference(resolution,[status(thm)],[c_70,c_44]) ).

tff(c_1738,plain,
    ! [X_145,X_146,Y_147,Y_148] :
      ( is_a_theorem(implies(X_145,implies(not(X_146),Y_147)))
      | ~ is_a_theorem(implies(implies(not(X_145),Y_148),X_146)) ),
    inference(resolution,[status(thm)],[c_8,c_1231]) ).

tff(c_1799,plain,
    ! [X_145,Y_148,Y_147] : is_a_theorem(implies(X_145,implies(not(implies(not(X_145),Y_148)),Y_147))),
    inference(resolution,[status(thm)],[c_108,c_1738]) ).

tff(c_9901,plain,
    ! [X_431,Z_432,Y_433] :
      ( is_a_theorem(implies(X_431,Z_432))
      | ~ is_a_theorem(implies(X_431,implies(Y_433,Z_432)))
      | ~ is_a_theorem(implies(not(Z_432),Y_433)) ),
    inference(resolution,[status(thm)],[c_157,c_44]) ).

tff(c_10097,plain,
    ! [X_145,Y_147,Y_148] :
      ( is_a_theorem(implies(X_145,Y_147))
      | ~ is_a_theorem(implies(not(Y_147),not(implies(not(X_145),Y_148)))) ),
    inference(resolution,[status(thm)],[c_1799,c_9901]) ).

tff(c_183594,plain,
    ! [Y_2432] : is_a_theorem(implies(not(not(Y_2432)),Y_2432)),
    inference(resolution,[status(thm)],[c_183067,c_10097]) ).

tff(c_184361,plain,
    ! [X_2435] : is_a_theorem(implies(X_2435,not(not(X_2435)))),
    inference(resolution,[status(thm)],[c_183594,c_3892]) ).

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_40493,plain,
    ! [Z_987,X_991,X_988,Y_990,Z_989] :
      ( is_a_theorem(implies(implies(implies(X_988,Z_989),Z_987),implies(X_991,Z_987)))
      | ~ is_a_theorem(implies(X_988,Y_990))
      | ~ is_a_theorem(implies(X_991,implies(Y_990,Z_989))) ),
    inference(resolution,[status(thm)],[c_1906,c_139]) ).

tff(c_40925,plain,
    ! [Y_8,Z_987,X_991,X_7,Z_989] :
      ( is_a_theorem(implies(implies(implies(X_7,Z_989),Z_987),implies(X_991,Z_987)))
      | ~ is_a_theorem(implies(X_991,implies(implies(not(X_7),Y_8),Z_989))) ),
    inference(resolution,[status(thm)],[c_8,c_40493]) ).

tff(c_173114,plain,
    ! [X_2375,X_2376,Z_2377] : is_a_theorem(implies(implies(implies(X_2375,X_2376),Z_2377),implies(X_2376,Z_2377))),
    inference(resolution,[status(thm)],[c_166363,c_40925]) ).

tff(c_173516,plain,
    ! [X_2376,Z_2377,X_2375] :
      ( is_a_theorem(implies(X_2376,Z_2377))
      | ~ is_a_theorem(implies(implies(X_2375,X_2376),Z_2377)) ),
    inference(resolution,[status(thm)],[c_173114,c_737]) ).

tff(c_189975,plain,
    ! [X_2468,X_2469] : is_a_theorem(implies(X_2468,not(not(implies(X_2469,X_2468))))),
    inference(resolution,[status(thm)],[c_184361,c_173516]) ).

tff(c_296,plain,
    ! [X_7,X_55,Y_8] :
      ( is_a_theorem(implies(X_7,implies(X_55,Y_8)))
      | ~ is_a_theorem(implies(X_55,not(X_7))) ),
    inference(resolution,[status(thm)],[c_8,c_257]) ).

tff(c_212904,plain,
    ! [X_2626,X_2627,Y_2628] : is_a_theorem(implies(not(implies(X_2626,X_2627)),implies(X_2627,Y_2628))),
    inference(resolution,[status(thm)],[c_189975,c_296]) ).

tff(c_20,plain,
    ! [X_6] :
      ( is_a_theorem(X_6)
      | ~ is_a_theorem(implies(not(X_6),X_6)) ),
    inference(resolution,[status(thm)],[c_6,c_13]) ).

tff(c_81,plain,
    ! [X_31,Y_32] :
      ( is_a_theorem(implies(not(X_31),Y_32))
      | ~ is_a_theorem(implies(not(implies(not(X_31),Y_32)),X_31)) ),
    inference(resolution,[status(thm)],[c_70,c_20]) ).

tff(c_213310,plain,
    ! [X_2627,Y_2628] : is_a_theorem(implies(not(implies(X_2627,Y_2628)),X_2627)),
    inference(resolution,[status(thm)],[c_212904,c_81]) ).

tff(c_10,plain,
    ~ is_a_theorem(implies(implies(a,implies(a,b)),implies(a,b))),
    inference(cnfTransformation,[status(thm)],[f_46]) ).

tff(c_176,plain,
    ~ is_a_theorem(implies(not(implies(a,b)),a)),
    inference(resolution,[status(thm)],[c_157,c_10]) ).

tff(c_213323,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_213310,c_176]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : LCL053-1 : TPTP v8.1.2. Released v1.0.0.
% 0.14/0.15  % 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
% 0.14/0.36  % Computer : n018.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu Aug  3 13:34:05 EDT 2023
% 0.14/0.37  % CPUTime  : 
% 59.19/47.01  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 59.19/47.02  
% 59.19/47.02  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 59.50/47.07  
% 59.50/47.07  Inference rules
% 59.50/47.07  ----------------------
% 59.50/47.07  #Ref     : 0
% 59.50/47.07  #Sup     : 50908
% 59.50/47.07  #Fact    : 0
% 59.50/47.07  #Define  : 0
% 59.50/47.07  #Split   : 15
% 59.50/47.07  #Chain   : 0
% 59.50/47.07  #Close   : 0
% 59.50/47.07  
% 59.50/47.07  Ordering : KBO
% 59.50/47.07  
% 59.50/47.07  Simplification rules
% 59.50/47.07  ----------------------
% 59.50/47.07  #Subsume      : 13613
% 59.50/47.07  #Demod        : 5514
% 59.50/47.07  #Tautology    : 5681
% 59.50/47.07  #SimpNegUnit  : 0
% 59.50/47.07  #BackRed      : 1
% 59.50/47.07  
% 59.50/47.07  #Partial instantiations: 0
% 59.50/47.07  #Strategies tried      : 1
% 59.50/47.07  
% 59.50/47.07  Timing (in seconds)
% 59.50/47.07  ----------------------
% 59.50/47.07  Preprocessing        : 0.38
% 59.50/47.07  Parsing              : 0.21
% 59.50/47.07  CNF conversion       : 0.02
% 59.50/47.07  Main loop            : 45.59
% 59.50/47.07  Inferencing          : 3.22
% 59.50/47.07  Reduction            : 10.98
% 59.50/47.07  Demodulation         : 8.07
% 59.50/47.07  BG Simplification    : 0.20
% 59.50/47.07  Subsumption          : 28.28
% 59.50/47.07  Abstraction          : 0.34
% 59.50/47.07  MUC search           : 0.00
% 59.50/47.07  Cooper               : 0.00
% 59.50/47.08  Total                : 46.05
% 59.50/47.08  Index Insertion      : 0.00
% 59.50/47.08  Index Deletion       : 0.00
% 59.50/47.08  Index Matching       : 0.00
% 59.50/47.08  BG Taut test         : 0.00
%------------------------------------------------------------------------------