TSTP Solution File: MGT008+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : MGT008+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n031.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 18:35:58 EDT 2023

% Result   : Theorem 0.14s 0.40s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   34 (  13 unt;   0 def)
%            Number of atoms       :  164 (   0 equ)
%            Maximal formula atoms :   12 (   4 avg)
%            Number of connectives :  211 (  81   ~;  78   |;  47   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   9 con; 0-2 aty)
%            Number of variables   :  109 (   0 sgn;  56   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t8_FOL,conjecture,
    ! [X1,X4,X5,X12,X13,X6,X7,X10,X11] :
      ( ( organization(X1,X10)
        & organization(X4,X11)
        & reorganization_free(X1,X10,X10)
        & reorganization_free(X4,X11,X11)
        & class(X1,X5,X10)
        & class(X4,X5,X11)
        & survival_chance(X1,X12,X10)
        & survival_chance(X4,X13,X11)
        & size(X1,X6,X10)
        & size(X4,X7,X11)
        & greater(X7,X6) )
     => greater(X13,X12) ),
    file('/export/starexec/sandbox/tmp/tmp.jvWvOoiHU1/E---3.1_32362.p',t8_FOL) ).

fof(a5_FOL,hypothesis,
    ! [X1,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ( organization(X1,X10)
        & organization(X4,X11)
        & class(X1,X5,X10)
        & class(X4,X5,X11)
        & size(X1,X6,X10)
        & size(X4,X7,X11)
        & inertia(X1,X8,X10)
        & inertia(X4,X9,X11)
        & greater(X7,X6) )
     => greater(X9,X8) ),
    file('/export/starexec/sandbox/tmp/tmp.jvWvOoiHU1/E---3.1_32362.p',a5_FOL) ).

fof(t1_FOL,hypothesis,
    ! [X1,X4,X10,X11,X8,X9,X12,X13] :
      ( ( organization(X1,X10)
        & organization(X4,X11)
        & reorganization_free(X1,X10,X10)
        & reorganization_free(X4,X11,X11)
        & inertia(X1,X8,X10)
        & inertia(X4,X9,X11)
        & survival_chance(X1,X12,X10)
        & survival_chance(X4,X13,X11)
        & greater(X9,X8) )
     => greater(X13,X12) ),
    file('/export/starexec/sandbox/tmp/tmp.jvWvOoiHU1/E---3.1_32362.p',t1_FOL) ).

fof(mp5,axiom,
    ! [X1,X2] :
      ( organization(X1,X2)
     => ? [X3] : inertia(X1,X3,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.jvWvOoiHU1/E---3.1_32362.p',mp5) ).

fof(c_0_4,negated_conjecture,
    ~ ! [X1,X4,X5,X12,X13,X6,X7,X10,X11] :
        ( ( organization(X1,X10)
          & organization(X4,X11)
          & reorganization_free(X1,X10,X10)
          & reorganization_free(X4,X11,X11)
          & class(X1,X5,X10)
          & class(X4,X5,X11)
          & survival_chance(X1,X12,X10)
          & survival_chance(X4,X13,X11)
          & size(X1,X6,X10)
          & size(X4,X7,X11)
          & greater(X7,X6) )
       => greater(X13,X12) ),
    inference(assume_negation,[status(cth)],[t8_FOL]) ).

fof(c_0_5,hypothesis,
    ! [X14,X15,X16,X17,X18,X19,X20,X21,X22] :
      ( ~ organization(X14,X21)
      | ~ organization(X15,X22)
      | ~ class(X14,X16,X21)
      | ~ class(X15,X16,X22)
      | ~ size(X14,X17,X21)
      | ~ size(X15,X18,X22)
      | ~ inertia(X14,X19,X21)
      | ~ inertia(X15,X20,X22)
      | ~ greater(X18,X17)
      | greater(X20,X19) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a5_FOL])]) ).

fof(c_0_6,negated_conjecture,
    ( organization(esk1_0,esk8_0)
    & organization(esk2_0,esk9_0)
    & reorganization_free(esk1_0,esk8_0,esk8_0)
    & reorganization_free(esk2_0,esk9_0,esk9_0)
    & class(esk1_0,esk3_0,esk8_0)
    & class(esk2_0,esk3_0,esk9_0)
    & survival_chance(esk1_0,esk4_0,esk8_0)
    & survival_chance(esk2_0,esk5_0,esk9_0)
    & size(esk1_0,esk6_0,esk8_0)
    & size(esk2_0,esk7_0,esk9_0)
    & greater(esk7_0,esk6_0)
    & ~ greater(esk5_0,esk4_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).

cnf(c_0_7,hypothesis,
    ( greater(X9,X8)
    | ~ organization(X1,X2)
    | ~ organization(X3,X4)
    | ~ class(X1,X5,X2)
    | ~ class(X3,X5,X4)
    | ~ size(X1,X6,X2)
    | ~ size(X3,X7,X4)
    | ~ inertia(X1,X8,X2)
    | ~ inertia(X3,X9,X4)
    | ~ greater(X7,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,negated_conjecture,
    size(esk2_0,esk7_0,esk9_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_9,negated_conjecture,
    organization(esk2_0,esk9_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_10,hypothesis,
    ! [X23,X24,X25,X26,X27,X28,X29,X30] :
      ( ~ organization(X23,X25)
      | ~ organization(X24,X26)
      | ~ reorganization_free(X23,X25,X25)
      | ~ reorganization_free(X24,X26,X26)
      | ~ inertia(X23,X27,X25)
      | ~ inertia(X24,X28,X26)
      | ~ survival_chance(X23,X29,X25)
      | ~ survival_chance(X24,X30,X26)
      | ~ greater(X28,X27)
      | greater(X30,X29) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_FOL])]) ).

cnf(c_0_11,negated_conjecture,
    ( greater(X1,X2)
    | ~ greater(esk7_0,X3)
    | ~ size(X4,X3,X5)
    | ~ class(esk2_0,X6,esk9_0)
    | ~ class(X4,X6,X5)
    | ~ inertia(esk2_0,X1,esk9_0)
    | ~ inertia(X4,X2,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,
    class(esk2_0,esk3_0,esk9_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_13,plain,
    ! [X40,X41] :
      ( ~ organization(X40,X41)
      | inertia(X40,esk10_2(X40,X41),X41) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp5])])]) ).

cnf(c_0_14,hypothesis,
    ( greater(X8,X7)
    | ~ organization(X1,X2)
    | ~ organization(X3,X4)
    | ~ reorganization_free(X1,X2,X2)
    | ~ reorganization_free(X3,X4,X4)
    | ~ inertia(X1,X5,X2)
    | ~ inertia(X3,X6,X4)
    | ~ survival_chance(X1,X7,X2)
    | ~ survival_chance(X3,X8,X4)
    | ~ greater(X6,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_15,negated_conjecture,
    survival_chance(esk2_0,esk5_0,esk9_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_16,negated_conjecture,
    reorganization_free(esk2_0,esk9_0,esk9_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_17,negated_conjecture,
    ( greater(X1,X2)
    | ~ greater(esk7_0,X3)
    | ~ size(X4,X3,X5)
    | ~ class(X4,esk3_0,X5)
    | ~ inertia(esk2_0,X1,esk9_0)
    | ~ inertia(X4,X2,X5)
    | ~ organization(X4,X5) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_18,plain,
    ( inertia(X1,esk10_2(X1,X2),X2)
    | ~ organization(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_19,negated_conjecture,
    ( greater(esk5_0,X1)
    | ~ survival_chance(X2,X1,X3)
    | ~ reorganization_free(X2,X3,X3)
    | ~ greater(X4,X5)
    | ~ inertia(esk2_0,X4,esk9_0)
    | ~ inertia(X2,X5,X3)
    | ~ organization(X2,X3) ),
    inference(cn,[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])]) ).

cnf(c_0_20,negated_conjecture,
    ( greater(esk10_2(esk2_0,esk9_0),X1)
    | ~ greater(esk7_0,X2)
    | ~ size(X3,X2,X4)
    | ~ class(X3,esk3_0,X4)
    | ~ inertia(X3,X1,X4)
    | ~ organization(X3,X4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_9])]) ).

cnf(c_0_21,negated_conjecture,
    size(esk1_0,esk6_0,esk8_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_22,negated_conjecture,
    greater(esk7_0,esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_23,negated_conjecture,
    class(esk1_0,esk3_0,esk8_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_24,negated_conjecture,
    organization(esk1_0,esk8_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_25,negated_conjecture,
    ( greater(esk5_0,X1)
    | ~ survival_chance(X2,X1,X3)
    | ~ reorganization_free(X2,X3,X3)
    | ~ greater(esk10_2(esk2_0,esk9_0),X4)
    | ~ inertia(X2,X4,X3)
    | ~ organization(X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_18]),c_0_9])]) ).

cnf(c_0_26,negated_conjecture,
    ( greater(esk10_2(esk2_0,esk9_0),X1)
    | ~ inertia(esk1_0,X1,esk8_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]),c_0_23]),c_0_24])]) ).

cnf(c_0_27,negated_conjecture,
    ( greater(esk5_0,X1)
    | ~ survival_chance(X2,X1,X3)
    | ~ reorganization_free(X2,X3,X3)
    | ~ inertia(esk1_0,X4,esk8_0)
    | ~ inertia(X2,X4,X3)
    | ~ organization(X2,X3) ),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_28,negated_conjecture,
    ( greater(esk5_0,X1)
    | ~ survival_chance(X2,X1,X3)
    | ~ reorganization_free(X2,X3,X3)
    | ~ inertia(X2,esk10_2(esk1_0,esk8_0),X3)
    | ~ organization(X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_18]),c_0_24])]) ).

cnf(c_0_29,negated_conjecture,
    reorganization_free(esk1_0,esk8_0,esk8_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_30,negated_conjecture,
    ( greater(esk5_0,X1)
    | ~ survival_chance(esk1_0,X1,esk8_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_18]),c_0_29]),c_0_24])]) ).

cnf(c_0_31,negated_conjecture,
    survival_chance(esk1_0,esk4_0,esk8_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_32,negated_conjecture,
    ~ greater(esk5_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_33,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : MGT008+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.10  % Command    : run_E %s %d THM
% 0.09/0.29  % Computer : n031.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit   : 2400
% 0.09/0.29  % WCLimit    : 300
% 0.09/0.29  % DateTime   : Tue Oct  3 00:55:13 EDT 2023
% 0.09/0.29  % CPUTime    : 
% 0.14/0.39  Running first-order model finding
% 0.14/0.39  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.jvWvOoiHU1/E---3.1_32362.p
% 0.14/0.40  # Version: 3.1pre001
% 0.14/0.40  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.40  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.40  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.40  # Starting new_bool_3 with 300s (1) cores
% 0.14/0.40  # Starting new_bool_1 with 300s (1) cores
% 0.14/0.40  # Starting sh5l with 300s (1) cores
% 0.14/0.40  # new_bool_1 with pid 32441 completed with status 0
% 0.14/0.40  # Result found by new_bool_1
% 0.14/0.40  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.40  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.40  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.40  # Starting new_bool_3 with 300s (1) cores
% 0.14/0.40  # Starting new_bool_1 with 300s (1) cores
% 0.14/0.40  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/0.40  # Search class: FHUNF-FFSM22-SFFFFFNN
% 0.14/0.40  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.40  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.14/0.40  # SAT001_MinMin_p005000_rr_RG with pid 32448 completed with status 0
% 0.14/0.40  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.14/0.40  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.40  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.40  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.40  # Starting new_bool_3 with 300s (1) cores
% 0.14/0.40  # Starting new_bool_1 with 300s (1) cores
% 0.14/0.40  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/0.40  # Search class: FHUNF-FFSM22-SFFFFFNN
% 0.14/0.40  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.40  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.14/0.40  # Preprocessing time       : 0.001 s
% 0.14/0.40  # Presaturation interreduction done
% 0.14/0.40  
% 0.14/0.40  # Proof found!
% 0.14/0.40  # SZS status Theorem
% 0.14/0.40  # SZS output start CNFRefutation
% See solution above
% 0.14/0.40  # Parsed axioms                        : 4
% 0.14/0.40  # Removed by relevancy pruning/SinE    : 0
% 0.14/0.40  # Initial clauses                      : 15
% 0.14/0.40  # Removed in clause preprocessing      : 0
% 0.14/0.40  # Initial clauses in saturation        : 15
% 0.14/0.40  # Processed clauses                    : 43
% 0.14/0.40  # ...of these trivial                  : 0
% 0.14/0.40  # ...subsumed                          : 0
% 0.14/0.40  # ...remaining for further processing  : 43
% 0.14/0.40  # Other redundant clauses eliminated   : 0
% 0.14/0.40  # Clauses deleted for lack of memory   : 0
% 0.14/0.40  # Backward-subsumed                    : 0
% 0.14/0.40  # Backward-rewritten                   : 0
% 0.14/0.40  # Generated clauses                    : 16
% 0.14/0.40  # ...of the previous two non-redundant : 15
% 0.14/0.40  # ...aggressively subsumed             : 0
% 0.14/0.40  # Contextual simplify-reflections      : 0
% 0.14/0.40  # Paramodulations                      : 16
% 0.14/0.40  # Factorizations                       : 0
% 0.14/0.40  # NegExts                              : 0
% 0.14/0.40  # Equation resolutions                 : 0
% 0.14/0.40  # Total rewrite steps                  : 17
% 0.14/0.40  # Propositional unsat checks           : 0
% 0.14/0.40  #    Propositional check models        : 0
% 0.14/0.40  #    Propositional check unsatisfiable : 0
% 0.14/0.40  #    Propositional clauses             : 0
% 0.14/0.40  #    Propositional clauses after purity: 0
% 0.14/0.40  #    Propositional unsat core size     : 0
% 0.14/0.40  #    Propositional preprocessing time  : 0.000
% 0.14/0.40  #    Propositional encoding time       : 0.000
% 0.14/0.40  #    Propositional solver time         : 0.000
% 0.14/0.40  #    Success case prop preproc time    : 0.000
% 0.14/0.40  #    Success case prop encoding time   : 0.000
% 0.14/0.40  #    Success case prop solver time     : 0.000
% 0.14/0.40  # Current number of processed clauses  : 28
% 0.14/0.40  #    Positive orientable unit clauses  : 11
% 0.14/0.40  #    Positive unorientable unit clauses: 0
% 0.14/0.40  #    Negative unit clauses             : 1
% 0.14/0.40  #    Non-unit-clauses                  : 16
% 0.14/0.40  # Current number of unprocessed clauses: 2
% 0.14/0.40  # ...number of literals in the above   : 14
% 0.14/0.40  # Current number of archived formulas  : 0
% 0.14/0.40  # Current number of archived clauses   : 15
% 0.14/0.40  # Clause-clause subsumption calls (NU) : 136
% 0.14/0.40  # Rec. Clause-clause subsumption calls : 2
% 0.14/0.40  # Non-unit clause-clause subsumptions  : 0
% 0.14/0.40  # Unit Clause-clause subsumption calls : 0
% 0.14/0.40  # Rewrite failures with RHS unbound    : 0
% 0.14/0.40  # BW rewrite match attempts            : 0
% 0.14/0.40  # BW rewrite match successes           : 0
% 0.14/0.40  # Condensation attempts                : 0
% 0.14/0.40  # Condensation successes               : 0
% 0.14/0.40  # Termbank termtop insertions          : 1732
% 0.14/0.40  
% 0.14/0.40  # -------------------------------------------------
% 0.14/0.40  # User time                : 0.005 s
% 0.14/0.40  # System time              : 0.001 s
% 0.14/0.40  # Total time               : 0.006 s
% 0.14/0.40  # Maximum resident set size: 1776 pages
% 0.14/0.40  
% 0.14/0.40  # -------------------------------------------------
% 0.14/0.40  # User time                : 0.006 s
% 0.14/0.40  # System time              : 0.003 s
% 0.14/0.40  # Total time               : 0.009 s
% 0.14/0.40  # Maximum resident set size: 1684 pages
% 0.14/0.40  % E---3.1 exiting
%------------------------------------------------------------------------------