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ConnectPP---0.7.2.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : MGT013+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 08:50:34 AM UTC 2026

% Result   : Theorem 30.16s 30.41s
% Output   : Proof 30.16s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(mp6_1,axiom,
    ! [X,Y] :
      ~ ( X = Y
        & greater(X,Y) ),
    file('theBenchmark.p',mp6_1) ).

fof(mp6_2,axiom,
    ! [X,Y] :
      ~ ( greater(Y,X)
        & greater(X,Y) ),
    file('theBenchmark.p',mp6_2) ).

fof(mp15,axiom,
    ! [X,T] :
      ( organization(X,T)
     => time(T) ),
    file('theBenchmark.p',mp15) ).

fof(mp16,axiom,
    ! [T1,T2] :
      ( ( time(T2)
        & time(T1) )
     => ( greater(T2,T1)
        | T1 = T2
        | greater(T1,T2) ) ),
    file('theBenchmark.p',mp16) ).

fof(mp17,axiom,
    ! [X,T1,T2] :
      ( reorganization_free(X,T1,T2)
     => reorganization_free(X,T2,T1) ),
    file('theBenchmark.p',mp17) ).

fof(mp18,axiom,
    ! [X,C1,C2,T1,T2] :
      ( ( T1 = T2
        & complexity(X,C2,T2)
        & complexity(X,C1,T1)
        & organization(X,T2)
        & organization(X,T1) )
     => C1 = C2 ),
    file('theBenchmark.p',mp18) ).

fof(t11_FOL,hypothesis,
    ! [X,S1,S2,T1,T2] :
      ( ( greater(T2,T1)
        & size(X,S2,T2)
        & size(X,S1,T1)
        & reorganization_free(X,T1,T2)
        & organization(X,T2)
        & organization(X,T1) )
     => ~ greater(S1,S2) ),
    file('theBenchmark.p',t11_FOL) ).

fof(t12_FOL,hypothesis,
    ! [X,C1,C2,T1,T2] :
      ( ( greater(T2,T1)
        & complexity(X,C2,T2)
        & complexity(X,C1,T1)
        & reorganization_free(X,T1,T2)
        & organization(X,T2)
        & organization(X,T1) )
     => ~ greater(C1,C2) ),
    file('theBenchmark.p',t12_FOL) ).

fof(t13_FOL,conjecture,
    ! [X,C1,C2,S1,S2,T1,T2] :
      ( ( greater(C2,C1)
        & size(X,S2,T2)
        & size(X,S1,T1)
        & complexity(X,C2,T2)
        & complexity(X,C1,T1)
        & reorganization_free(X,T1,T2)
        & organization(X,T2)
        & organization(X,T1) )
     => ~ greater(S1,S2) ),
    file('theBenchmark.p',t13_FOL) ).

fof(f_1_1,plain,
    ! [X,Y] :
      ( X != Y
      | ~ greater(X,Y) ),
    inference(fof_nnf,[status(thm)],[mp6_1]) ).

fof(f_1_2,plain,
    ! [U_1,U_0] :
      ( U_1 != U_0
      | ~ greater(U_1,U_0) ),
    inference(variable_rename,[status(thm)],[f_1_1]) ).

fof(f_1_3,plain,
    ! [U_0,U_1] :
      ( U_1 != U_0
      | ~ greater(U_1,U_0) ),
    inference(definitional_conversion,[status(esa)],[f_1_2]) ).

cnf(f_1_4,plain,
    ( U_1 != U_0
    | ~ greater(U_1,U_0) ),
    inference(clausify,[status(thm)],[f_1_3]) ).

fof(f_2_1,plain,
    ! [X,Y] :
      ( ~ greater(Y,X)
      | ~ greater(X,Y) ),
    inference(fof_nnf,[status(thm)],[mp6_2]) ).

fof(f_2_2,plain,
    ! [U_3,U_2] :
      ( ~ greater(U_2,U_3)
      | ~ greater(U_3,U_2) ),
    inference(variable_rename,[status(thm)],[f_2_1]) ).

fof(f_2_3,plain,
    ! [U_3,U_2] :
      ( ~ greater(U_2,U_3)
      | ~ greater(U_3,U_2) ),
    inference(definitional_conversion,[status(esa)],[f_2_2]) ).

cnf(f_2_4,plain,
    ( ~ greater(U_2,U_3)
    | ~ greater(U_3,U_2) ),
    inference(clausify,[status(thm)],[f_2_3]) ).

fof(f_3_1,plain,
    ! [X,T] :
      ( time(T)
      | ~ organization(X,T) ),
    inference(fof_nnf,[status(thm)],[mp15]) ).

fof(f_3_2,plain,
    ! [U_5,U_4] :
      ( time(U_4)
      | ~ organization(U_5,U_4) ),
    inference(variable_rename,[status(thm)],[f_3_1]) ).

fof(f_3_3,plain,
    ! [U_5,U_4] :
      ( time(U_4)
      | ~ organization(U_5,U_4) ),
    inference(definitional_conversion,[status(esa)],[f_3_2]) ).

cnf(f_3_4,plain,
    ( time(U_4)
    | ~ organization(U_5,U_4) ),
    inference(clausify,[status(thm)],[f_3_3]) ).

fof(f_4_1,plain,
    ! [T1,T2] :
      ( greater(T2,T1)
      | T1 = T2
      | greater(T1,T2)
      | ~ time(T2)
      | ~ time(T1) ),
    inference(fof_nnf,[status(thm)],[mp16]) ).

fof(f_4_2,plain,
    ! [U_7,U_6] :
      ( greater(U_6,U_7)
      | U_7 = U_6
      | greater(U_7,U_6)
      | ~ time(U_6)
      | ~ time(U_7) ),
    inference(variable_rename,[status(thm)],[f_4_1]) ).

fof(f_4_3,plain,
    ! [U_6,U_7] :
      ( greater(U_6,U_7)
      | U_7 = U_6
      | greater(U_7,U_6)
      | ~ time(U_6)
      | ~ time(U_7) ),
    inference(definitional_conversion,[status(esa)],[f_4_2]) ).

cnf(f_4_4,plain,
    ( greater(U_6,U_7)
    | U_7 = U_6
    | greater(U_7,U_6)
    | ~ time(U_6)
    | ~ time(U_7) ),
    inference(clausify,[status(thm)],[f_4_3]) ).

fof(f_5_1,plain,
    ! [X,T1,T2] :
      ( reorganization_free(X,T2,T1)
      | ~ reorganization_free(X,T1,T2) ),
    inference(fof_nnf,[status(thm)],[mp17]) ).

fof(f_5_2,plain,
    ! [U_10,U_9,U_8] :
      ( reorganization_free(U_10,U_8,U_9)
      | ~ reorganization_free(U_10,U_9,U_8) ),
    inference(variable_rename,[status(thm)],[f_5_1]) ).

fof(f_5_3,plain,
    ! [U_8,U_10,U_9] :
      ( reorganization_free(U_10,U_8,U_9)
      | ~ reorganization_free(U_10,U_9,U_8) ),
    inference(definitional_conversion,[status(esa)],[f_5_2]) ).

cnf(f_5_4,plain,
    ( reorganization_free(U_10,U_8,U_9)
    | ~ reorganization_free(U_10,U_9,U_8) ),
    inference(clausify,[status(thm)],[f_5_3]) ).

fof(f_6_1,plain,
    ! [X,C1,C2,T1,T2] :
      ( C1 = C2
      | T1 != T2
      | ~ complexity(X,C2,T2)
      | ~ complexity(X,C1,T1)
      | ~ organization(X,T2)
      | ~ organization(X,T1) ),
    inference(fof_nnf,[status(thm)],[mp18]) ).

fof(f_6_2,plain,
    ! [U_15,U_14,U_13,U_12,U_11] :
      ( U_14 = U_13
      | U_12 != U_11
      | ~ complexity(U_15,U_13,U_11)
      | ~ complexity(U_15,U_14,U_12)
      | ~ organization(U_15,U_11)
      | ~ organization(U_15,U_12) ),
    inference(variable_rename,[status(thm)],[f_6_1]) ).

fof(f_6_3,plain,
    ! [U_15,U_14,U_13] :
      ( ! [U_12] :
          ( ! [U_11] :
              ( U_12 != U_11
              | ~ complexity(U_15,U_13,U_11)
              | ~ organization(U_15,U_11) )
          | ~ complexity(U_15,U_14,U_12)
          | ~ organization(U_15,U_12) )
      | U_14 = U_13 ),
    inference(miniscope,[status(thm)],[f_6_2]) ).

fof(f_6_4,plain,
    ! [U_11,U_12,U_13,U_14,U_15] :
      ( U_12 != U_11
      | ~ complexity(U_15,U_13,U_11)
      | ~ organization(U_15,U_11)
      | ~ complexity(U_15,U_14,U_12)
      | ~ organization(U_15,U_12)
      | U_14 = U_13 ),
    inference(definitional_conversion,[status(esa)],[f_6_3]) ).

cnf(f_6_5,plain,
    ( U_12 != U_11
    | ~ complexity(U_15,U_13,U_11)
    | ~ organization(U_15,U_11)
    | ~ complexity(U_15,U_14,U_12)
    | ~ organization(U_15,U_12)
    | U_14 = U_13 ),
    inference(clausify,[status(thm)],[f_6_4]) ).

fof(f_7_1,plain,
    ! [X,S1,S2,T1,T2] :
      ( ~ greater(S1,S2)
      | ~ greater(T2,T1)
      | ~ size(X,S2,T2)
      | ~ size(X,S1,T1)
      | ~ reorganization_free(X,T1,T2)
      | ~ organization(X,T2)
      | ~ organization(X,T1) ),
    inference(fof_nnf,[status(thm)],[t11_FOL]) ).

fof(f_7_2,plain,
    ! [U_20,U_19,U_18,U_17,U_16] :
      ( ~ greater(U_19,U_18)
      | ~ greater(U_16,U_17)
      | ~ size(U_20,U_18,U_16)
      | ~ size(U_20,U_19,U_17)
      | ~ reorganization_free(U_20,U_17,U_16)
      | ~ organization(U_20,U_16)
      | ~ organization(U_20,U_17) ),
    inference(variable_rename,[status(thm)],[f_7_1]) ).

fof(f_7_3,plain,
    ! [U_20,U_19,U_18] :
      ( ! [U_17] :
          ( ! [U_16] :
              ( ~ greater(U_16,U_17)
              | ~ size(U_20,U_18,U_16)
              | ~ reorganization_free(U_20,U_17,U_16)
              | ~ organization(U_20,U_16) )
          | ~ size(U_20,U_19,U_17)
          | ~ organization(U_20,U_17) )
      | ~ greater(U_19,U_18) ),
    inference(miniscope,[status(thm)],[f_7_2]) ).

fof(f_7_4,plain,
    ! [U_19,U_20,U_16,U_18,U_17] :
      ( ~ greater(U_16,U_17)
      | ~ size(U_20,U_18,U_16)
      | ~ reorganization_free(U_20,U_17,U_16)
      | ~ organization(U_20,U_16)
      | ~ size(U_20,U_19,U_17)
      | ~ organization(U_20,U_17)
      | ~ greater(U_19,U_18) ),
    inference(definitional_conversion,[status(esa)],[f_7_3]) ).

cnf(f_7_5,plain,
    ( ~ greater(U_16,U_17)
    | ~ size(U_20,U_18,U_16)
    | ~ reorganization_free(U_20,U_17,U_16)
    | ~ organization(U_20,U_16)
    | ~ size(U_20,U_19,U_17)
    | ~ organization(U_20,U_17)
    | ~ greater(U_19,U_18) ),
    inference(clausify,[status(thm)],[f_7_4]) ).

fof(f_8_1,plain,
    ! [X,C1,C2,T1,T2] :
      ( ~ greater(C1,C2)
      | ~ greater(T2,T1)
      | ~ complexity(X,C2,T2)
      | ~ complexity(X,C1,T1)
      | ~ reorganization_free(X,T1,T2)
      | ~ organization(X,T2)
      | ~ organization(X,T1) ),
    inference(fof_nnf,[status(thm)],[t12_FOL]) ).

fof(f_8_2,plain,
    ! [U_25,U_24,U_23,U_22,U_21] :
      ( ~ greater(U_24,U_23)
      | ~ greater(U_21,U_22)
      | ~ complexity(U_25,U_23,U_21)
      | ~ complexity(U_25,U_24,U_22)
      | ~ reorganization_free(U_25,U_22,U_21)
      | ~ organization(U_25,U_21)
      | ~ organization(U_25,U_22) ),
    inference(variable_rename,[status(thm)],[f_8_1]) ).

fof(f_8_3,plain,
    ! [U_25,U_24,U_23] :
      ( ! [U_22] :
          ( ! [U_21] :
              ( ~ greater(U_21,U_22)
              | ~ complexity(U_25,U_23,U_21)
              | ~ reorganization_free(U_25,U_22,U_21)
              | ~ organization(U_25,U_21) )
          | ~ complexity(U_25,U_24,U_22)
          | ~ organization(U_25,U_22) )
      | ~ greater(U_24,U_23) ),
    inference(miniscope,[status(thm)],[f_8_2]) ).

fof(f_8_4,plain,
    ! [U_21,U_22,U_24,U_25,U_23] :
      ( ~ greater(U_21,U_22)
      | ~ complexity(U_25,U_23,U_21)
      | ~ reorganization_free(U_25,U_22,U_21)
      | ~ organization(U_25,U_21)
      | ~ complexity(U_25,U_24,U_22)
      | ~ organization(U_25,U_22)
      | ~ greater(U_24,U_23) ),
    inference(definitional_conversion,[status(esa)],[f_8_3]) ).

cnf(f_8_5,plain,
    ( ~ greater(U_21,U_22)
    | ~ complexity(U_25,U_23,U_21)
    | ~ reorganization_free(U_25,U_22,U_21)
    | ~ organization(U_25,U_21)
    | ~ complexity(U_25,U_24,U_22)
    | ~ organization(U_25,U_22)
    | ~ greater(U_24,U_23) ),
    inference(clausify,[status(thm)],[f_8_4]) ).

fof(f_9_1,negated_conjecture,
    ~ ! [X,C1,C2,S1,S2,T1,T2] :
        ( ( greater(C2,C1)
          & size(X,S2,T2)
          & size(X,S1,T1)
          & complexity(X,C2,T2)
          & complexity(X,C1,T1)
          & reorganization_free(X,T1,T2)
          & organization(X,T2)
          & organization(X,T1) )
       => ~ greater(S1,S2) ),
    inference(negate,[status(cth)],[t13_FOL]) ).

fof(f_9_2,negated_conjecture,
    ? [X,C1,C2,S1,S2,T1,T2] :
      ( greater(S1,S2)
      & greater(C2,C1)
      & size(X,S2,T2)
      & size(X,S1,T1)
      & complexity(X,C2,T2)
      & complexity(X,C1,T1)
      & reorganization_free(X,T1,T2)
      & organization(X,T2)
      & organization(X,T1) ),
    inference(fof_nnf,[status(thm)],[f_9_1]) ).

fof(f_9_3,negated_conjecture,
    ? [U_32,U_31,U_30,U_29,U_28,U_27,U_26] :
      ( greater(U_29,U_28)
      & greater(U_30,U_31)
      & size(U_32,U_28,U_26)
      & size(U_32,U_29,U_27)
      & complexity(U_32,U_30,U_26)
      & complexity(U_32,U_31,U_27)
      & reorganization_free(U_32,U_27,U_26)
      & organization(U_32,U_26)
      & organization(U_32,U_27) ),
    inference(variable_rename,[status(thm)],[f_9_2]) ).

fof(f_9_4,negated_conjecture,
    ? [U_32,U_31,U_30,U_29,U_28] :
      ( ? [U_27] :
          ( ? [U_26] :
              ( size(U_32,U_28,U_26)
              & complexity(U_32,U_30,U_26)
              & reorganization_free(U_32,U_27,U_26)
              & organization(U_32,U_26) )
          & size(U_32,U_29,U_27)
          & complexity(U_32,U_31,U_27)
          & organization(U_32,U_27) )
      & greater(U_30,U_31)
      & greater(U_29,U_28) ),
    inference(miniscope,[status(thm)],[f_9_3]) ).

fof(f_9_5,negated_conjecture,
    ? [U_31,U_30,U_29,U_28] :
      ( ? [U_27] :
          ( ? [U_26] :
              ( size(sK1,U_28,U_26)
              & complexity(sK1,U_30,U_26)
              & reorganization_free(sK1,U_27,U_26)
              & organization(sK1,U_26) )
          & size(sK1,U_29,U_27)
          & complexity(sK1,U_31,U_27)
          & organization(sK1,U_27) )
      & greater(U_30,U_31)
      & greater(U_29,U_28) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_32,sK1)],[f_9_4]) ).

fof(f_9_6,negated_conjecture,
    ? [U_30,U_29,U_28] :
      ( ? [U_27] :
          ( ? [U_26] :
              ( size(sK1,U_28,U_26)
              & complexity(sK1,U_30,U_26)
              & reorganization_free(sK1,U_27,U_26)
              & organization(sK1,U_26) )
          & size(sK1,U_29,U_27)
          & complexity(sK1,sK2,U_27)
          & organization(sK1,U_27) )
      & greater(U_30,sK2)
      & greater(U_29,U_28) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_31,sK2)],[f_9_5]) ).

fof(f_9_7,negated_conjecture,
    ? [U_29,U_28] :
      ( ? [U_27] :
          ( ? [U_26] :
              ( size(sK1,U_28,U_26)
              & complexity(sK1,sK3,U_26)
              & reorganization_free(sK1,U_27,U_26)
              & organization(sK1,U_26) )
          & size(sK1,U_29,U_27)
          & complexity(sK1,sK2,U_27)
          & organization(sK1,U_27) )
      & greater(sK3,sK2)
      & greater(U_29,U_28) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_30,sK3)],[f_9_6]) ).

fof(f_9_8,negated_conjecture,
    ? [U_28] :
      ( ? [U_27] :
          ( ? [U_26] :
              ( size(sK1,U_28,U_26)
              & complexity(sK1,sK3,U_26)
              & reorganization_free(sK1,U_27,U_26)
              & organization(sK1,U_26) )
          & size(sK1,sK4,U_27)
          & complexity(sK1,sK2,U_27)
          & organization(sK1,U_27) )
      & greater(sK3,sK2)
      & greater(sK4,U_28) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_29,sK4)],[f_9_7]) ).

fof(f_9_9,negated_conjecture,
    ( ? [U_27] :
        ( ? [U_26] :
            ( size(sK1,sK5,U_26)
            & complexity(sK1,sK3,U_26)
            & reorganization_free(sK1,U_27,U_26)
            & organization(sK1,U_26) )
        & size(sK1,sK4,U_27)
        & complexity(sK1,sK2,U_27)
        & organization(sK1,U_27) )
    & greater(sK3,sK2)
    & greater(sK4,sK5) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_28,sK5)],[f_9_8]) ).

fof(f_9_10,negated_conjecture,
    ( ? [U_26] :
        ( size(sK1,sK5,U_26)
        & complexity(sK1,sK3,U_26)
        & reorganization_free(sK1,sK6,U_26)
        & organization(sK1,U_26) )
    & size(sK1,sK4,sK6)
    & complexity(sK1,sK2,sK6)
    & organization(sK1,sK6)
    & greater(sK3,sK2)
    & greater(sK4,sK5) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_27,sK6)],[f_9_9]) ).

fof(f_9_11,negated_conjecture,
    ( size(sK1,sK5,sK7)
    & complexity(sK1,sK3,sK7)
    & reorganization_free(sK1,sK6,sK7)
    & organization(sK1,sK7)
    & size(sK1,sK4,sK6)
    & complexity(sK1,sK2,sK6)
    & organization(sK1,sK6)
    & greater(sK3,sK2)
    & greater(sK4,sK5) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_26,sK7)],[f_9_10]) ).

fof(f_9_12,negated_conjecture,
    ( size(sK1,sK5,sK7)
    & complexity(sK1,sK3,sK7)
    & reorganization_free(sK1,sK6,sK7)
    & organization(sK1,sK7)
    & size(sK1,sK4,sK6)
    & complexity(sK1,sK2,sK6)
    & organization(sK1,sK6)
    & greater(sK3,sK2)
    & greater(sK4,sK5) ),
    inference(definitional_conversion,[status(esa)],[f_9_11]) ).

cnf(f_9_13,negated_conjecture,
    greater(sK4,sK5),
    inference(clausify,[status(thm)],[f_9_12]) ).

cnf(f_9_14,negated_conjecture,
    greater(sK3,sK2),
    inference(clausify,[status(thm)],[f_9_12]) ).

cnf(f_9_15,negated_conjecture,
    organization(sK1,sK6),
    inference(clausify,[status(thm)],[f_9_12]) ).

cnf(f_9_16,negated_conjecture,
    complexity(sK1,sK2,sK6),
    inference(clausify,[status(thm)],[f_9_12]) ).

cnf(f_9_17,negated_conjecture,
    size(sK1,sK4,sK6),
    inference(clausify,[status(thm)],[f_9_12]) ).

cnf(f_9_18,negated_conjecture,
    organization(sK1,sK7),
    inference(clausify,[status(thm)],[f_9_12]) ).

cnf(f_9_19,negated_conjecture,
    reorganization_free(sK1,sK6,sK7),
    inference(clausify,[status(thm)],[f_9_12]) ).

cnf(f_9_20,negated_conjecture,
    complexity(sK1,sK3,sK7),
    inference(clausify,[status(thm)],[f_9_12]) ).

cnf(f_9_21,negated_conjecture,
    size(sK1,sK5,sK7),
    inference(clausify,[status(thm)],[f_9_12]) ).

cnf(equality_1,axiom,
    Eq_x_0 = Eq_x_0,
    theory(equality,[reflexivity]) ).

cnf(equality_2,axiom,
    ( Eq_x_1 = Eq_x_0
    | Eq_x_0 != Eq_x_1 ),
    theory(equality,[symmetry]) ).

cnf(equality_3,axiom,
    ( Eq_x_0 = Eq_x_2
    | Eq_x_1 != Eq_x_2
    | Eq_x_0 != Eq_x_1 ),
    theory(equality,[transitivity]) ).

cnf(equality_4,axiom,
    ( greater(Eq_y_0,Eq_y_1)
    | ~ greater(Eq_x_0,Eq_x_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

cnf(equality_5,axiom,
    ( organization(Eq_y_0,Eq_y_1)
    | ~ organization(Eq_x_0,Eq_x_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

cnf(equality_6,axiom,
    ( time(Eq_y_0)
    | ~ time(Eq_x_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

cnf(equality_7,axiom,
    ( reorganization_free(Eq_y_0,Eq_y_1,Eq_y_2)
    | ~ reorganization_free(Eq_x_0,Eq_x_1,Eq_x_2)
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

cnf(equality_8,axiom,
    ( complexity(Eq_y_0,Eq_y_1,Eq_y_2)
    | ~ complexity(Eq_x_0,Eq_x_1,Eq_x_2)
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

cnf(equality_9,axiom,
    ( size(Eq_y_0,Eq_y_1,Eq_y_2)
    | ~ size(Eq_x_0,Eq_x_1,Eq_x_2)
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

cnf(sat_proved,plain,
    $false,
    inference(cadical,[status(thm)],[]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : MGT013+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03  This is a FOF_THM_RFO_SEQ problem
% 0.00/0.03  % Command  : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.34  % Computer : n002.cluster.edu
% 0.09/0.34  % Model    : x86_64 x86_64
% 0.09/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34  % Memory   : 8046.5625MB
% 0.09/0.34  % OS       : Linux 6.8.0-71-generic
% 0.09/0.34  % CPULimit : 300
% 0.09/0.34  % WCLimit  : 300
% 0.09/0.34  % DateTime : Sat Sep 19 16:13:45 UTC 2026
% 0.09/0.34  % CPUTime  : 
% 30.16/30.41  % SZS status Theorem for theBenchmark
% 30.16/30.41  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------