TSTP Solution File: MGT006+1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : MGT006+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n012.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 : Thu Aug 31 09:07:14 EDT 2023

% Result   : Theorem 0.21s 0.59s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   55 (  11 unt;  14 typ;   0 def)
%            Number of atoms       :  211 (   0 equ)
%            Maximal formula atoms :   31 (   5 avg)
%            Number of connectives :  299 ( 129   ~; 125   |;  39   &)
%                                         (   1 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   18 (   7   >;  11   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :  139 (  18 sgn;  48   !;   1   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    organization: ( $i * $i ) > $o ).

tff(decl_23,type,
    reproducibility: ( $i * $i * $i ) > $o ).

tff(decl_24,type,
    reliability: ( $i * $i * $i ) > $o ).

tff(decl_25,type,
    accountability: ( $i * $i * $i ) > $o ).

tff(decl_26,type,
    greater: ( $i * $i ) > $o ).

tff(decl_27,type,
    reorganization_free: ( $i * $i * $i ) > $o ).

tff(decl_28,type,
    esk1_2: ( $i * $i ) > $i ).

tff(decl_29,type,
    esk2_0: $i ).

tff(decl_30,type,
    esk3_0: $i ).

tff(decl_31,type,
    esk4_0: $i ).

tff(decl_32,type,
    esk5_0: $i ).

tff(decl_33,type,
    esk6_0: $i ).

tff(decl_34,type,
    esk7_0: $i ).

tff(decl_35,type,
    esk8_0: $i ).

fof(t6_FOL,conjecture,
    ! [X1,X7,X8,X9,X10,X5,X6] :
      ( ( organization(X1,X5)
        & organization(X1,X6)
        & reorganization_free(X1,X5,X6)
        & reliability(X1,X7,X5)
        & reliability(X1,X8,X6)
        & accountability(X1,X9,X5)
        & accountability(X1,X10,X6)
        & greater(X6,X5) )
     => ( greater(X8,X7)
        & greater(X10,X9) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_FOL) ).

fof(a2_FOL,hypothesis,
    ! [X1,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ( organization(X1,X5)
        & organization(X4,X6)
        & reliability(X1,X7,X5)
        & reliability(X4,X8,X6)
        & accountability(X1,X9,X5)
        & accountability(X4,X10,X6)
        & reproducibility(X1,X11,X5)
        & reproducibility(X4,X12,X6) )
     => ( greater(X12,X11)
      <=> ( greater(X8,X7)
          & greater(X10,X9) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_FOL) ).

fof(a4_FOL,hypothesis,
    ! [X1,X11,X12,X5,X6] :
      ( ( organization(X1,X5)
        & organization(X1,X6)
        & reorganization_free(X1,X5,X6)
        & reproducibility(X1,X11,X5)
        & reproducibility(X1,X12,X6)
        & greater(X6,X5) )
     => greater(X12,X11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a4_FOL) ).

fof(mp3,axiom,
    ! [X1,X2] :
      ( organization(X1,X2)
     => ? [X3] : reproducibility(X1,X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp3) ).

fof(c_0_4,negated_conjecture,
    ~ ! [X1,X7,X8,X9,X10,X5,X6] :
        ( ( organization(X1,X5)
          & organization(X1,X6)
          & reorganization_free(X1,X5,X6)
          & reliability(X1,X7,X5)
          & reliability(X1,X8,X6)
          & accountability(X1,X9,X5)
          & accountability(X1,X10,X6)
          & greater(X6,X5) )
       => ( greater(X8,X7)
          & greater(X10,X9) ) ),
    inference(assume_negation,[status(cth)],[t6_FOL]) ).

fof(c_0_5,hypothesis,
    ! [X16,X17,X18,X19,X20,X21,X22,X23,X24,X25] :
      ( ( greater(X21,X20)
        | ~ greater(X25,X24)
        | ~ organization(X16,X18)
        | ~ organization(X17,X19)
        | ~ reliability(X16,X20,X18)
        | ~ reliability(X17,X21,X19)
        | ~ accountability(X16,X22,X18)
        | ~ accountability(X17,X23,X19)
        | ~ reproducibility(X16,X24,X18)
        | ~ reproducibility(X17,X25,X19) )
      & ( greater(X23,X22)
        | ~ greater(X25,X24)
        | ~ organization(X16,X18)
        | ~ organization(X17,X19)
        | ~ reliability(X16,X20,X18)
        | ~ reliability(X17,X21,X19)
        | ~ accountability(X16,X22,X18)
        | ~ accountability(X17,X23,X19)
        | ~ reproducibility(X16,X24,X18)
        | ~ reproducibility(X17,X25,X19) )
      & ( ~ greater(X21,X20)
        | ~ greater(X23,X22)
        | greater(X25,X24)
        | ~ organization(X16,X18)
        | ~ organization(X17,X19)
        | ~ reliability(X16,X20,X18)
        | ~ reliability(X17,X21,X19)
        | ~ accountability(X16,X22,X18)
        | ~ accountability(X17,X23,X19)
        | ~ reproducibility(X16,X24,X18)
        | ~ reproducibility(X17,X25,X19) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a2_FOL])])]) ).

fof(c_0_6,negated_conjecture,
    ( organization(esk2_0,esk7_0)
    & organization(esk2_0,esk8_0)
    & reorganization_free(esk2_0,esk7_0,esk8_0)
    & reliability(esk2_0,esk3_0,esk7_0)
    & reliability(esk2_0,esk4_0,esk8_0)
    & accountability(esk2_0,esk5_0,esk7_0)
    & accountability(esk2_0,esk6_0,esk8_0)
    & greater(esk8_0,esk7_0)
    & ( ~ greater(esk4_0,esk3_0)
      | ~ greater(esk6_0,esk5_0) ) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).

cnf(c_0_7,hypothesis,
    ( greater(X1,X2)
    | ~ greater(X3,X4)
    | ~ organization(X5,X6)
    | ~ organization(X7,X8)
    | ~ reliability(X5,X9,X6)
    | ~ reliability(X7,X10,X8)
    | ~ accountability(X5,X2,X6)
    | ~ accountability(X7,X1,X8)
    | ~ reproducibility(X5,X4,X6)
    | ~ reproducibility(X7,X3,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,negated_conjecture,
    accountability(esk2_0,esk6_0,esk8_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_9,negated_conjecture,
    organization(esk2_0,esk8_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_10,hypothesis,
    ! [X26,X27,X28,X29,X30] :
      ( ~ organization(X26,X29)
      | ~ organization(X26,X30)
      | ~ reorganization_free(X26,X29,X30)
      | ~ reproducibility(X26,X27,X29)
      | ~ reproducibility(X26,X28,X30)
      | ~ greater(X30,X29)
      | greater(X28,X27) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a4_FOL])]) ).

cnf(c_0_11,negated_conjecture,
    ( greater(esk6_0,X1)
    | ~ greater(X2,X3)
    | ~ accountability(X4,X1,X5)
    | ~ reliability(esk2_0,X6,esk8_0)
    | ~ reliability(X4,X7,X5)
    | ~ reproducibility(esk2_0,X2,esk8_0)
    | ~ reproducibility(X4,X3,X5)
    | ~ organization(X4,X5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9])]) ).

cnf(c_0_12,negated_conjecture,
    reliability(esk2_0,esk4_0,esk8_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_13,plain,
    ! [X13,X14] :
      ( ~ organization(X13,X14)
      | reproducibility(X13,esk1_2(X13,X14),X14) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp3])])]) ).

cnf(c_0_14,hypothesis,
    ( greater(X5,X4)
    | ~ organization(X1,X2)
    | ~ organization(X1,X3)
    | ~ reorganization_free(X1,X2,X3)
    | ~ reproducibility(X1,X4,X2)
    | ~ reproducibility(X1,X5,X3)
    | ~ greater(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_15,negated_conjecture,
    reorganization_free(esk2_0,esk7_0,esk8_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_16,negated_conjecture,
    greater(esk8_0,esk7_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_17,negated_conjecture,
    organization(esk2_0,esk7_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_18,hypothesis,
    ( greater(X1,X2)
    | ~ greater(X3,X4)
    | ~ organization(X5,X6)
    | ~ organization(X7,X8)
    | ~ reliability(X5,X2,X6)
    | ~ reliability(X7,X1,X8)
    | ~ accountability(X5,X9,X6)
    | ~ accountability(X7,X10,X8)
    | ~ reproducibility(X5,X4,X6)
    | ~ reproducibility(X7,X3,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_19,negated_conjecture,
    ( greater(esk6_0,X1)
    | ~ greater(X2,X3)
    | ~ accountability(X4,X1,X5)
    | ~ reliability(X4,X6,X5)
    | ~ reproducibility(esk2_0,X2,esk8_0)
    | ~ reproducibility(X4,X3,X5)
    | ~ organization(X4,X5) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_20,plain,
    ( reproducibility(X1,esk1_2(X1,X2),X2)
    | ~ organization(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_21,negated_conjecture,
    ( greater(X1,X2)
    | ~ reproducibility(esk2_0,X1,esk8_0)
    | ~ reproducibility(esk2_0,X2,esk7_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),c_0_9]),c_0_17])]) ).

cnf(c_0_22,negated_conjecture,
    ( greater(X1,X2)
    | ~ greater(X3,X4)
    | ~ accountability(X5,X6,X7)
    | ~ reliability(esk2_0,X1,esk8_0)
    | ~ reliability(X5,X2,X7)
    | ~ reproducibility(esk2_0,X3,esk8_0)
    | ~ reproducibility(X5,X4,X7)
    | ~ organization(X5,X7) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_8]),c_0_9])]) ).

cnf(c_0_23,negated_conjecture,
    ( greater(esk6_0,X1)
    | ~ greater(esk1_2(esk2_0,esk8_0),X2)
    | ~ accountability(X3,X1,X4)
    | ~ reliability(X3,X5,X4)
    | ~ reproducibility(X3,X2,X4)
    | ~ organization(X3,X4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_9])]) ).

cnf(c_0_24,negated_conjecture,
    ( greater(esk1_2(esk2_0,esk8_0),X1)
    | ~ reproducibility(esk2_0,X1,esk7_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_20]),c_0_9])]) ).

cnf(c_0_25,negated_conjecture,
    ( greater(esk4_0,X1)
    | ~ greater(X2,X3)
    | ~ accountability(X4,X5,X6)
    | ~ reliability(X4,X1,X6)
    | ~ reproducibility(esk2_0,X2,esk8_0)
    | ~ reproducibility(X4,X3,X6)
    | ~ organization(X4,X6) ),
    inference(spm,[status(thm)],[c_0_22,c_0_12]) ).

cnf(c_0_26,negated_conjecture,
    ( greater(esk6_0,X1)
    | ~ accountability(X2,X1,X3)
    | ~ reliability(X2,X4,X3)
    | ~ reproducibility(esk2_0,X5,esk7_0)
    | ~ reproducibility(X2,X5,X3)
    | ~ organization(X2,X3) ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_27,negated_conjecture,
    ( greater(esk4_0,X1)
    | ~ greater(esk1_2(esk2_0,esk8_0),X2)
    | ~ accountability(X3,X4,X5)
    | ~ reliability(X3,X1,X5)
    | ~ reproducibility(X3,X2,X5)
    | ~ organization(X3,X5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_20]),c_0_9])]) ).

cnf(c_0_28,negated_conjecture,
    ( greater(esk6_0,X1)
    | ~ accountability(X2,X1,X3)
    | ~ reliability(X2,X4,X3)
    | ~ reproducibility(X2,esk1_2(esk2_0,esk7_0),X3)
    | ~ organization(X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_20]),c_0_17])]) ).

cnf(c_0_29,negated_conjecture,
    ( greater(esk4_0,X1)
    | ~ accountability(X2,X3,X4)
    | ~ reliability(X2,X1,X4)
    | ~ reproducibility(esk2_0,X5,esk7_0)
    | ~ reproducibility(X2,X5,X4)
    | ~ organization(X2,X4) ),
    inference(spm,[status(thm)],[c_0_27,c_0_24]) ).

cnf(c_0_30,negated_conjecture,
    ( greater(esk6_0,X1)
    | ~ accountability(esk2_0,X1,esk7_0)
    | ~ reliability(esk2_0,X2,esk7_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_20]),c_0_17])]) ).

cnf(c_0_31,negated_conjecture,
    accountability(esk2_0,esk5_0,esk7_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_32,negated_conjecture,
    ( greater(esk4_0,X1)
    | ~ accountability(X2,X3,X4)
    | ~ reliability(X2,X1,X4)
    | ~ reproducibility(X2,esk1_2(esk2_0,esk7_0),X4)
    | ~ organization(X2,X4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_20]),c_0_17])]) ).

cnf(c_0_33,negated_conjecture,
    ( greater(esk6_0,esk5_0)
    | ~ reliability(esk2_0,X1,esk7_0) ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_34,negated_conjecture,
    reliability(esk2_0,esk3_0,esk7_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_35,negated_conjecture,
    ( greater(esk4_0,X1)
    | ~ accountability(esk2_0,X2,esk7_0)
    | ~ reliability(esk2_0,X1,esk7_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_20]),c_0_17])]) ).

cnf(c_0_36,negated_conjecture,
    ( ~ greater(esk4_0,esk3_0)
    | ~ greater(esk6_0,esk5_0) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_37,negated_conjecture,
    greater(esk6_0,esk5_0),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_38,negated_conjecture,
    ( greater(esk4_0,X1)
    | ~ reliability(esk2_0,X1,esk7_0) ),
    inference(spm,[status(thm)],[c_0_35,c_0_31]) ).

cnf(c_0_39,negated_conjecture,
    ~ greater(esk4_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_37])]) ).

cnf(c_0_40,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_34]),c_0_39]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : MGT006+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.14  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35  % Computer : n012.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Aug 28 06:06:55 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.21/0.58  start to proof: theBenchmark
% 0.21/0.59  % Version  : CSE_E---1.5
% 0.21/0.59  % Problem  : theBenchmark.p
% 0.21/0.59  % Proof found
% 0.21/0.59  % SZS status Theorem for theBenchmark.p
% 0.21/0.59  % SZS output start Proof
% See solution above
% 0.21/0.60  % Total time : 0.007000 s
% 0.21/0.60  % SZS output end Proof
% 0.21/0.60  % Total time : 0.009000 s
%------------------------------------------------------------------------------