TSTP Solution File: SWV252-2 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SWV252-2 : TPTP v8.1.2. Released v3.2.0.
% 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 : n025.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 11:03:21 EDT 2023

% Result   : Unsatisfiable 29.45s 16.76s
% Output   : CNFRefutation 29.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   30
% Syntax   : Number of formulae    :   80 (  32 unt;  13 typ;   0 def)
%            Number of atoms       :  117 (  19 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  106 (  56   ~;  50   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   20 (  10   >;  10   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   3 con; 0-3 aty)
%            Number of variables   :  154 (; 154   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ c_lessequals > c_in > class_Orderings_Oorder > c_union > c_minus > c_insert > #nlpp > tc_set > c_Message_Osynth > c_Message_Oparts > c_Message_Oanalz > v_X > v_H > tc_Message_Omsg

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(v_X,type,
    v_X: $i ).

tff(c_Message_Oanalz,type,
    c_Message_Oanalz: $i > $i ).

tff(tc_set,type,
    tc_set: $i > $i ).

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

tff(class_Orderings_Oorder,type,
    class_Orderings_Oorder: $i > $o ).

tff(c_Message_Osynth,type,
    c_Message_Osynth: $i > $i ).

tff(c_lessequals,type,
    c_lessequals: ( $i * $i * $i ) > $o ).

tff(c_in,type,
    c_in: ( $i * $i * $i ) > $o ).

tff(tc_Message_Omsg,type,
    tc_Message_Omsg: $i ).

tff(c_Message_Oparts,type,
    c_Message_Oparts: $i > $i ).

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

tff(v_H,type,
    v_H: $i ).

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

tff(f_26,axiom,
    c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_H)),tc_Message_Omsg),
    file(unknown,unknown) ).

tff(f_104,axiom,
    ! [T_1] : class_Orderings_Oorder(tc_set(T_1)),
    file(unknown,unknown) ).

tff(f_54,axiom,
    ! [T_a,V_x] :
      ( ~ class_Orderings_Oorder(T_a)
      | c_lessequals(V_x,V_x,T_a) ),
    file(unknown,unknown) ).

tff(f_86,axiom,
    ! [V_x,V_A,T_a,V_B] :
      ( ~ c_lessequals(c_insert(V_x,V_A,T_a),V_B,tc_set(T_a))
      | c_lessequals(V_A,V_B,tc_set(T_a)) ),
    file(unknown,unknown) ).

tff(f_94,axiom,
    ! [V_x,V_B,T_a,V_A] :
      ( ~ c_in(V_x,V_B,T_a)
      | ~ c_lessequals(V_A,V_B,tc_set(T_a))
      | c_lessequals(c_insert(V_x,V_A,T_a),V_B,tc_set(T_a)) ),
    file(unknown,unknown) ).

tff(f_102,axiom,
    ! [V_B,V_A,T_a] :
      ( ~ c_lessequals(V_B,V_A,tc_set(T_a))
      | ~ c_lessequals(V_A,V_B,tc_set(T_a))
      | ( V_A = V_B ) ),
    file(unknown,unknown) ).

tff(f_42,axiom,
    ! [V_G,V_H] :
      ( ~ c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_set(tc_Message_Omsg))
      | c_lessequals(V_G,c_Message_Oparts(V_H),tc_set(tc_Message_Omsg)) ),
    file(unknown,unknown) ).

tff(f_81,axiom,
    ! [V_x,V_A,T_a,V_B] :
      ( ~ c_lessequals(c_insert(V_x,V_A,T_a),V_B,tc_set(T_a))
      | c_in(V_x,V_B,T_a) ),
    file(unknown,unknown) ).

tff(f_37,axiom,
    ! [V_H] : ( c_Message_Oparts(c_Message_Oanalz(V_H)) = c_Message_Oparts(V_H) ),
    file(unknown,unknown) ).

tff(f_49,axiom,
    ! [V_H] : ( c_Message_Oparts(c_Message_Osynth(V_H)) = c_union(c_Message_Oparts(V_H),c_Message_Osynth(V_H),tc_Message_Omsg) ),
    file(unknown,unknown) ).

tff(f_63,axiom,
    ! [V_A,V_B,T_a,V_C] :
      ( ~ c_lessequals(c_union(V_A,V_B,T_a),V_C,tc_set(T_a))
      | c_lessequals(V_A,V_C,tc_set(T_a)) ),
    file(unknown,unknown) ).

tff(f_47,axiom,
    ! [V_G,V_H] :
      ( ~ c_lessequals(V_G,c_Message_Oparts(V_H),tc_set(tc_Message_Omsg))
      | c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_set(tc_Message_Omsg)) ),
    file(unknown,unknown) ).

tff(f_68,axiom,
    ! [V_A,V_B,T_a,V_C] :
      ( ~ c_lessequals(c_union(V_A,V_B,T_a),V_C,tc_set(T_a))
      | c_lessequals(V_B,V_C,tc_set(T_a)) ),
    file(unknown,unknown) ).

tff(f_56,axiom,
    ! [V_B,V_A,T_a] : ( c_union(c_minus(V_B,V_A,tc_set(T_a)),V_A,T_a) = c_union(V_B,V_A,T_a) ),
    file(unknown,unknown) ).

tff(f_58,axiom,
    ! [V_A,V_B,T_a] : ( c_union(V_A,c_minus(V_B,V_A,tc_set(T_a)),T_a) = c_union(V_A,V_B,T_a) ),
    file(unknown,unknown) ).

tff(f_76,axiom,
    ! [V_B,V_C,T_a,V_A] :
      ( ~ c_lessequals(V_B,V_C,tc_set(T_a))
      | ~ c_lessequals(V_A,V_C,tc_set(T_a))
      | c_lessequals(c_union(V_A,V_B,T_a),V_C,tc_set(T_a)) ),
    file(unknown,unknown) ).

tff(f_28,axiom,
    ~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_union(c_Message_Osynth(c_Message_Oanalz(v_H)),c_Message_Oparts(v_H),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
    file(unknown,unknown) ).

tff(c_2,plain,
    c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_H)),tc_Message_Omsg),
    inference(cnfTransformation,[status(thm)],[f_26]) ).

tff(c_38,plain,
    ! [T_1_45] : class_Orderings_Oorder(tc_set(T_1_45)),
    inference(cnfTransformation,[status(thm)],[f_104]) ).

tff(c_18,plain,
    ! [V_x_11,T_a_10] :
      ( c_lessequals(V_x_11,V_x_11,T_a_10)
      | ~ class_Orderings_Oorder(T_a_10) ),
    inference(cnfTransformation,[status(thm)],[f_54]) ).

tff(c_179,plain,
    ! [V_A_73,V_B_74,T_a_75,V_x_76] :
      ( c_lessequals(V_A_73,V_B_74,tc_set(T_a_75))
      | ~ c_lessequals(c_insert(V_x_76,V_A_73,T_a_75),V_B_74,tc_set(T_a_75)) ),
    inference(cnfTransformation,[status(thm)],[f_86]) ).

tff(c_191,plain,
    ! [V_A_73,V_x_76,T_a_75] :
      ( c_lessequals(V_A_73,c_insert(V_x_76,V_A_73,T_a_75),tc_set(T_a_75))
      | ~ class_Orderings_Oorder(tc_set(T_a_75)) ),
    inference(resolution,[status(thm)],[c_18,c_179]) ).

tff(c_196,plain,
    ! [V_A_73,V_x_76,T_a_75] : c_lessequals(V_A_73,c_insert(V_x_76,V_A_73,T_a_75),tc_set(T_a_75)),
    inference(demodulation,[status(thm),theory(equality)],[c_38,c_191]) ).

tff(c_867,plain,
    ! [V_x_126,V_A_127,T_a_128,V_B_129] :
      ( c_lessequals(c_insert(V_x_126,V_A_127,T_a_128),V_B_129,tc_set(T_a_128))
      | ~ c_lessequals(V_A_127,V_B_129,tc_set(T_a_128))
      | ~ c_in(V_x_126,V_B_129,T_a_128) ),
    inference(cnfTransformation,[status(thm)],[f_94]) ).

tff(c_36,plain,
    ! [V_B_42,V_A_43,T_a_44] :
      ( ( V_B_42 = V_A_43 )
      | ~ c_lessequals(V_A_43,V_B_42,tc_set(T_a_44))
      | ~ c_lessequals(V_B_42,V_A_43,tc_set(T_a_44)) ),
    inference(cnfTransformation,[status(thm)],[f_102]) ).

tff(c_4031,plain,
    ! [V_x_252,V_A_253,T_a_254,V_B_255] :
      ( ( c_insert(V_x_252,V_A_253,T_a_254) = V_B_255 )
      | ~ c_lessequals(V_B_255,c_insert(V_x_252,V_A_253,T_a_254),tc_set(T_a_254))
      | ~ c_lessequals(V_A_253,V_B_255,tc_set(T_a_254))
      | ~ c_in(V_x_252,V_B_255,T_a_254) ),
    inference(resolution,[status(thm)],[c_867,c_36]) ).

tff(c_9478,plain,
    ! [V_x_431,V_A_432,T_a_433] :
      ( ( c_insert(V_x_431,V_A_432,T_a_433) = V_A_432 )
      | ~ c_lessequals(V_A_432,V_A_432,tc_set(T_a_433))
      | ~ c_in(V_x_431,V_A_432,T_a_433) ),
    inference(resolution,[status(thm)],[c_196,c_4031]) ).

tff(c_9509,plain,
    ! [V_x_431,V_x_11,T_a_433] :
      ( ( c_insert(V_x_431,V_x_11,T_a_433) = V_x_11 )
      | ~ c_in(V_x_431,V_x_11,T_a_433)
      | ~ class_Orderings_Oorder(tc_set(T_a_433)) ),
    inference(resolution,[status(thm)],[c_18,c_9478]) ).

tff(c_9533,plain,
    ! [V_x_434,V_x_435,T_a_436] :
      ( ( c_insert(V_x_434,V_x_435,T_a_436) = V_x_435 )
      | ~ c_in(V_x_434,V_x_435,T_a_436) ),
    inference(demodulation,[status(thm),theory(equality)],[c_38,c_9509]) ).

tff(c_9613,plain,
    c_insert(v_X,c_Message_Osynth(c_Message_Oanalz(v_H)),tc_Message_Omsg) = c_Message_Osynth(c_Message_Oanalz(v_H)),
    inference(resolution,[status(thm)],[c_2,c_9533]) ).

tff(c_130,plain,
    ! [V_G_69,V_H_70] :
      ( c_lessequals(V_G_69,c_Message_Oparts(V_H_70),tc_set(tc_Message_Omsg))
      | ~ c_lessequals(c_Message_Oparts(V_G_69),c_Message_Oparts(V_H_70),tc_set(tc_Message_Omsg)) ),
    inference(cnfTransformation,[status(thm)],[f_42]) ).

tff(c_134,plain,
    ! [V_G_69] :
      ( c_lessequals(V_G_69,c_Message_Oparts(V_G_69),tc_set(tc_Message_Omsg))
      | ~ class_Orderings_Oorder(tc_set(tc_Message_Omsg)) ),
    inference(resolution,[status(thm)],[c_18,c_130]) ).

tff(c_145,plain,
    ! [V_G_71] : c_lessequals(V_G_71,c_Message_Oparts(V_G_71),tc_set(tc_Message_Omsg)),
    inference(demodulation,[status(thm),theory(equality)],[c_38,c_134]) ).

tff(c_30,plain,
    ! [V_x_30,V_B_33,T_a_32,V_A_31] :
      ( c_in(V_x_30,V_B_33,T_a_32)
      | ~ c_lessequals(c_insert(V_x_30,V_A_31,T_a_32),V_B_33,tc_set(T_a_32)) ),
    inference(cnfTransformation,[status(thm)],[f_81]) ).

tff(c_161,plain,
    ! [V_x_30,V_A_31] : c_in(V_x_30,c_Message_Oparts(c_insert(V_x_30,V_A_31,tc_Message_Omsg)),tc_Message_Omsg),
    inference(resolution,[status(thm)],[c_145,c_30]) ).

tff(c_9707,plain,
    c_in(v_X,c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(v_H))),tc_Message_Omsg),
    inference(superposition,[status(thm),theory(equality)],[c_9613,c_161]) ).

tff(c_10,plain,
    ! [V_H_4] : ( c_Message_Oparts(c_Message_Oanalz(V_H_4)) = c_Message_Oparts(V_H_4) ),
    inference(cnfTransformation,[status(thm)],[f_37]) ).

tff(c_67,plain,
    ! [V_H_51] : ( c_union(c_Message_Oparts(V_H_51),c_Message_Osynth(V_H_51),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(V_H_51)) ),
    inference(cnfTransformation,[status(thm)],[f_49]) ).

tff(c_76,plain,
    ! [V_H_4] : ( c_union(c_Message_Oparts(V_H_4),c_Message_Osynth(c_Message_Oanalz(V_H_4)),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(V_H_4))) ),
    inference(superposition,[status(thm),theory(equality)],[c_10,c_67]) ).

tff(c_432,plain,
    ! [V_A_102,V_C_103,T_a_104,V_B_105] :
      ( c_lessequals(V_A_102,V_C_103,tc_set(T_a_104))
      | ~ c_lessequals(c_union(V_A_102,V_B_105,T_a_104),V_C_103,tc_set(T_a_104)) ),
    inference(cnfTransformation,[status(thm)],[f_63]) ).

tff(c_476,plain,
    ! [V_A_102,V_B_105,T_a_104] :
      ( c_lessequals(V_A_102,c_union(V_A_102,V_B_105,T_a_104),tc_set(T_a_104))
      | ~ class_Orderings_Oorder(tc_set(T_a_104)) ),
    inference(resolution,[status(thm)],[c_18,c_432]) ).

tff(c_487,plain,
    ! [V_A_106,V_B_107,T_a_108] : c_lessequals(V_A_106,c_union(V_A_106,V_B_107,T_a_108),tc_set(T_a_108)),
    inference(demodulation,[status(thm),theory(equality)],[c_38,c_476]) ).

tff(c_879,plain,
    ! [V_H_130] : c_lessequals(c_Message_Oparts(V_H_130),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(V_H_130))),tc_set(tc_Message_Omsg)),
    inference(superposition,[status(thm),theory(equality)],[c_76,c_487]) ).

tff(c_12,plain,
    ! [V_G_5,V_H_6] :
      ( c_lessequals(V_G_5,c_Message_Oparts(V_H_6),tc_set(tc_Message_Omsg))
      | ~ c_lessequals(c_Message_Oparts(V_G_5),c_Message_Oparts(V_H_6),tc_set(tc_Message_Omsg)) ),
    inference(cnfTransformation,[status(thm)],[f_42]) ).

tff(c_891,plain,
    ! [V_H_130] : c_lessequals(V_H_130,c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(V_H_130))),tc_set(tc_Message_Omsg)),
    inference(resolution,[status(thm)],[c_879,c_12]) ).

tff(c_34,plain,
    ! [V_x_38,V_A_41,T_a_40,V_B_39] :
      ( c_lessequals(c_insert(V_x_38,V_A_41,T_a_40),V_B_39,tc_set(T_a_40))
      | ~ c_lessequals(V_A_41,V_B_39,tc_set(T_a_40))
      | ~ c_in(V_x_38,V_B_39,T_a_40) ),
    inference(cnfTransformation,[status(thm)],[f_94]) ).

tff(c_14,plain,
    ! [V_G_7,V_H_8] :
      ( c_lessequals(c_Message_Oparts(V_G_7),c_Message_Oparts(V_H_8),tc_set(tc_Message_Omsg))
      | ~ c_lessequals(V_G_7,c_Message_Oparts(V_H_8),tc_set(tc_Message_Omsg)) ),
    inference(cnfTransformation,[status(thm)],[f_47]) ).

tff(c_486,plain,
    ! [V_A_102,V_B_105,T_a_104] : c_lessequals(V_A_102,c_union(V_A_102,V_B_105,T_a_104),tc_set(T_a_104)),
    inference(demodulation,[status(thm),theory(equality)],[c_38,c_476]) ).

tff(c_223,plain,
    ! [V_B_83,V_C_84,T_a_85,V_A_86] :
      ( c_lessequals(V_B_83,V_C_84,tc_set(T_a_85))
      | ~ c_lessequals(c_union(V_A_86,V_B_83,T_a_85),V_C_84,tc_set(T_a_85)) ),
    inference(cnfTransformation,[status(thm)],[f_68]) ).

tff(c_251,plain,
    ! [V_B_83,V_A_86,T_a_85] :
      ( c_lessequals(V_B_83,c_union(V_A_86,V_B_83,T_a_85),tc_set(T_a_85))
      | ~ class_Orderings_Oorder(tc_set(T_a_85)) ),
    inference(resolution,[status(thm)],[c_18,c_223]) ).

tff(c_257,plain,
    ! [V_B_83,V_A_86,T_a_85] : c_lessequals(V_B_83,c_union(V_A_86,V_B_83,T_a_85),tc_set(T_a_85)),
    inference(demodulation,[status(thm),theory(equality)],[c_38,c_251]) ).

tff(c_20,plain,
    ! [V_B_12,V_A_13,T_a_14] : ( c_union(c_minus(V_B_12,V_A_13,tc_set(T_a_14)),V_A_13,T_a_14) = c_union(V_B_12,V_A_13,T_a_14) ),
    inference(cnfTransformation,[status(thm)],[f_56]) ).

tff(c_5652,plain,
    ! [V_B_335,V_A_336,T_a_337] : c_lessequals(c_minus(V_B_335,V_A_336,tc_set(T_a_337)),c_union(V_B_335,V_A_336,T_a_337),tc_set(T_a_337)),
    inference(superposition,[status(thm),theory(equality)],[c_20,c_487]) ).

tff(c_22,plain,
    ! [V_A_15,V_B_16,T_a_17] : ( c_union(V_A_15,c_minus(V_B_16,V_A_15,tc_set(T_a_17)),T_a_17) = c_union(V_A_15,V_B_16,T_a_17) ),
    inference(cnfTransformation,[status(thm)],[f_58]) ).

tff(c_934,plain,
    ! [V_A_133,V_B_134,T_a_135,V_C_136] :
      ( c_lessequals(c_union(V_A_133,V_B_134,T_a_135),V_C_136,tc_set(T_a_135))
      | ~ c_lessequals(V_A_133,V_C_136,tc_set(T_a_135))
      | ~ c_lessequals(V_B_134,V_C_136,tc_set(T_a_135)) ),
    inference(cnfTransformation,[status(thm)],[f_76]) ).

tff(c_945,plain,
    ! [V_A_15,V_B_16,T_a_17,V_C_136] :
      ( c_lessequals(c_union(V_A_15,V_B_16,T_a_17),V_C_136,tc_set(T_a_17))
      | ~ c_lessequals(V_A_15,V_C_136,tc_set(T_a_17))
      | ~ c_lessequals(c_minus(V_B_16,V_A_15,tc_set(T_a_17)),V_C_136,tc_set(T_a_17)) ),
    inference(superposition,[status(thm),theory(equality)],[c_22,c_934]) ).

tff(c_5658,plain,
    ! [V_A_336,V_B_335,T_a_337] :
      ( c_lessequals(c_union(V_A_336,V_B_335,T_a_337),c_union(V_B_335,V_A_336,T_a_337),tc_set(T_a_337))
      | ~ c_lessequals(V_A_336,c_union(V_B_335,V_A_336,T_a_337),tc_set(T_a_337)) ),
    inference(resolution,[status(thm)],[c_5652,c_945]) ).

tff(c_5768,plain,
    ! [V_A_346,V_B_347,T_a_348] : c_lessequals(c_union(V_A_346,V_B_347,T_a_348),c_union(V_B_347,V_A_346,T_a_348),tc_set(T_a_348)),
    inference(demodulation,[status(thm),theory(equality)],[c_257,c_5658]) ).

tff(c_957,plain,
    ! [V_A_133,V_B_134,T_a_135,V_C_136] :
      ( ( c_union(V_A_133,V_B_134,T_a_135) = V_C_136 )
      | ~ c_lessequals(V_C_136,c_union(V_A_133,V_B_134,T_a_135),tc_set(T_a_135))
      | ~ c_lessequals(V_A_133,V_C_136,tc_set(T_a_135))
      | ~ c_lessequals(V_B_134,V_C_136,tc_set(T_a_135)) ),
    inference(resolution,[status(thm)],[c_934,c_36]) ).

tff(c_5771,plain,
    ! [V_B_347,V_A_346,T_a_348] :
      ( ( c_union(V_B_347,V_A_346,T_a_348) = c_union(V_A_346,V_B_347,T_a_348) )
      | ~ c_lessequals(V_B_347,c_union(V_A_346,V_B_347,T_a_348),tc_set(T_a_348))
      | ~ c_lessequals(V_A_346,c_union(V_A_346,V_B_347,T_a_348),tc_set(T_a_348)) ),
    inference(resolution,[status(thm)],[c_5768,c_957]) ).

tff(c_5806,plain,
    ! [V_B_347,V_A_346,T_a_348] : ( c_union(V_B_347,V_A_346,T_a_348) = c_union(V_A_346,V_B_347,T_a_348) ),
    inference(demodulation,[status(thm),theory(equality)],[c_486,c_257,c_5771]) ).

tff(c_4,plain,
    ~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_union(c_Message_Osynth(c_Message_Oanalz(v_H)),c_Message_Oparts(v_H),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
    inference(cnfTransformation,[status(thm)],[f_28]) ).

tff(c_5818,plain,
    ~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_union(c_Message_Oparts(v_H),c_Message_Osynth(c_Message_Oanalz(v_H)),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
    inference(demodulation,[status(thm),theory(equality)],[c_5806,c_4]) ).

tff(c_5819,plain,
    ~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(v_H))),tc_set(tc_Message_Omsg)),
    inference(demodulation,[status(thm),theory(equality)],[c_76,c_5818]) ).

tff(c_82160,plain,
    ~ c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(v_H))),tc_set(tc_Message_Omsg)),
    inference(resolution,[status(thm)],[c_14,c_5819]) ).

tff(c_82163,plain,
    ( ~ c_lessequals(v_H,c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(v_H))),tc_set(tc_Message_Omsg))
    | ~ c_in(v_X,c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(v_H))),tc_Message_Omsg) ),
    inference(resolution,[status(thm)],[c_34,c_82160]) ).

tff(c_82167,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_9707,c_891,c_82163]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : SWV252-2 : TPTP v8.1.2. Released v3.2.0.
% 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
% 0.19/0.36  % Computer : n025.cluster.edu
% 0.19/0.36  % Model    : x86_64 x86_64
% 0.19/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.36  % Memory   : 8042.1875MB
% 0.19/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.19/0.36  % CPULimit : 300
% 0.19/0.36  % WCLimit  : 300
% 0.19/0.36  % DateTime : Thu Aug  3 22:52:35 EDT 2023
% 0.19/0.37  % CPUTime  : 
% 29.45/16.76  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 29.45/16.77  
% 29.45/16.77  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 29.77/16.81  
% 29.77/16.81  Inference rules
% 29.77/16.81  ----------------------
% 29.77/16.81  #Ref     : 0
% 29.77/16.81  #Sup     : 18575
% 29.77/16.81  #Fact    : 0
% 29.77/16.81  #Define  : 0
% 29.77/16.81  #Split   : 0
% 29.77/16.81  #Chain   : 0
% 29.77/16.81  #Close   : 0
% 29.77/16.81  
% 29.77/16.81  Ordering : KBO
% 29.77/16.81  
% 29.77/16.81  Simplification rules
% 29.77/16.81  ----------------------
% 29.77/16.81  #Subsume      : 435
% 29.77/16.81  #Demod        : 18158
% 29.77/16.81  #Tautology    : 9798
% 29.77/16.81  #SimpNegUnit  : 0
% 29.77/16.81  #BackRed      : 14
% 29.77/16.81  
% 29.77/16.81  #Partial instantiations: 0
% 29.77/16.81  #Strategies tried      : 1
% 29.77/16.81  
% 29.77/16.81  Timing (in seconds)
% 29.77/16.81  ----------------------
% 29.77/16.81  Preprocessing        : 0.49
% 29.77/16.81  Parsing              : 0.27
% 29.77/16.81  CNF conversion       : 0.02
% 29.77/16.81  Main loop            : 15.15
% 29.77/16.81  Inferencing          : 1.89
% 29.77/16.81  Reduction            : 9.14
% 29.77/16.81  Demodulation         : 8.46
% 29.77/16.81  BG Simplification    : 0.13
% 29.77/16.81  Subsumption          : 3.17
% 29.77/16.81  Abstraction          : 0.21
% 29.77/16.81  MUC search           : 0.00
% 29.77/16.81  Cooper               : 0.00
% 29.77/16.81  Total                : 15.71
% 29.77/16.81  Index Insertion      : 0.00
% 29.77/16.81  Index Deletion       : 0.00
% 29.77/16.81  Index Matching       : 0.00
% 29.77/16.81  BG Taut test         : 0.00
%------------------------------------------------------------------------------