TSTP Solution File: MGT050-1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : MGT050-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n032.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 May 21 00:39:45 EDT 2024

% Result   : Unsatisfiable 0.14s 0.41s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   54 (  17 unt;   7 nHn;  45 RR)
%            Number of literals    :  125 (  19 equ;  64 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   3 con; 0-2 aty)
%            Number of variables   :   89 (  20 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(assumption_5_46,axiom,
    ( smaller(capability(X1,X2),capability(X1,X3))
    | ~ organization(X1)
    | ~ smaller_or_equal(stock_of_knowledge(X1,X2),stock_of_knowledge(X1,X3))
    | ~ greater(internal_friction(X1,X2),internal_friction(X1,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_5_46) ).

cnf(assumption_10_50,axiom,
    ( stock_of_knowledge(X1,X2) = stock_of_knowledge(X1,X3)
    | ~ organization(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_10_50) ).

cnf(assumption_12_52,axiom,
    ( greater(internal_friction(X1,X2),internal_friction(X1,X3))
    | ~ organization(X1)
    | ~ greater(age(X1,X2),age(X1,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_12_52) ).

cnf(theorem_3_55,negated_conjecture,
    greater(age(sk1,sk3),age(sk1,sk2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_3_55) ).

cnf(theorem_3_53,negated_conjecture,
    organization(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_3_53) ).

cnf(definition_smaller_or_equal_3,axiom,
    ( smaller_or_equal(X1,X2)
    | X1 != X2 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_smaller_or_equal_3) ).

cnf(definition_smaller_7,axiom,
    ( greater(X2,X1)
    | ~ smaller(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_smaller_7) ).

cnf(assumption_4_42,axiom,
    ( has_immunity(X1,X2)
    | has_immunity(X1,X3)
    | smaller(hazard_of_mortality(X1,X3),hazard_of_mortality(X1,X2))
    | ~ organization(X1)
    | ~ greater(capability(X1,X3),capability(X1,X2))
    | ~ greater_or_equal(position(X1,X3),position(X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_4_42) ).

cnf(assumption_6_49,axiom,
    ( position(X1,X2) = position(X1,X3)
    | ~ organization(X1)
    | external_ties(X1,X2) != external_ties(X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_6_49) ).

cnf(assumption_11_51,axiom,
    ( external_ties(X1,X2) = external_ties(X1,X3)
    | ~ organization(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_11_51) ).

cnf(definition_greater_or_equal_6,axiom,
    ( greater_or_equal(X1,X2)
    | X1 != X2 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_greater_or_equal_6) ).

cnf(theorem_3_56,negated_conjecture,
    ~ greater(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_3_56) ).

cnf(assumption_1_41,axiom,
    ( has_endowment(X1)
    | ~ organization(X1)
    | ~ has_immunity(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_1_41) ).

cnf(theorem_3_54,negated_conjecture,
    ~ has_endowment(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_3_54) ).

cnf(c_0_14,plain,
    ( smaller(capability(X1,X2),capability(X1,X3))
    | ~ organization(X1)
    | ~ smaller_or_equal(stock_of_knowledge(X1,X2),stock_of_knowledge(X1,X3))
    | ~ greater(internal_friction(X1,X2),internal_friction(X1,X3)) ),
    inference(fof_simplification,[status(thm)],[assumption_5_46]) ).

cnf(c_0_15,plain,
    ( stock_of_knowledge(X1,X2) = stock_of_knowledge(X1,X3)
    | ~ organization(X1) ),
    inference(fof_simplification,[status(thm)],[assumption_10_50]) ).

cnf(c_0_16,plain,
    ( greater(internal_friction(X1,X2),internal_friction(X1,X3))
    | ~ organization(X1)
    | ~ greater(age(X1,X2),age(X1,X3)) ),
    inference(fof_simplification,[status(thm)],[assumption_12_52]) ).

cnf(c_0_17,plain,
    ( smaller(capability(X1,X2),capability(X1,X3))
    | ~ organization(X1)
    | ~ smaller_or_equal(stock_of_knowledge(X1,X2),stock_of_knowledge(X1,X3))
    | ~ greater(internal_friction(X1,X2),internal_friction(X1,X3)) ),
    c_0_14 ).

cnf(c_0_18,plain,
    ( stock_of_knowledge(X1,X2) = stock_of_knowledge(X1,X3)
    | ~ organization(X1) ),
    c_0_15 ).

cnf(c_0_19,plain,
    ( greater(internal_friction(X1,X2),internal_friction(X1,X3))
    | ~ organization(X1)
    | ~ greater(age(X1,X2),age(X1,X3)) ),
    c_0_16 ).

cnf(c_0_20,negated_conjecture,
    greater(age(sk1,sk3),age(sk1,sk2)),
    theorem_3_55 ).

cnf(c_0_21,negated_conjecture,
    organization(sk1),
    theorem_3_53 ).

cnf(c_0_22,plain,
    ( smaller_or_equal(X1,X2)
    | X1 != X2 ),
    inference(fof_simplification,[status(thm)],[definition_smaller_or_equal_3]) ).

cnf(c_0_23,plain,
    ( smaller(capability(X1,X2),capability(X1,X3))
    | ~ organization(X1)
    | ~ greater(internal_friction(X1,X2),internal_friction(X1,X3))
    | ~ smaller_or_equal(stock_of_knowledge(X1,X2),stock_of_knowledge(X1,X4)) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_24,negated_conjecture,
    greater(internal_friction(sk1,sk3),internal_friction(sk1,sk2)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]) ).

cnf(c_0_25,plain,
    ( smaller_or_equal(X1,X2)
    | X1 != X2 ),
    c_0_22 ).

cnf(c_0_26,plain,
    ( greater(X2,X1)
    | ~ smaller(X1,X2) ),
    inference(fof_simplification,[status(thm)],[definition_smaller_7]) ).

cnf(c_0_27,negated_conjecture,
    ( smaller(capability(sk1,sk3),capability(sk1,sk2))
    | ~ smaller_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_21])]) ).

cnf(c_0_28,plain,
    smaller_or_equal(X1,X1),
    inference(er,[status(thm)],[c_0_25]) ).

cnf(c_0_29,plain,
    ( has_immunity(X1,X2)
    | has_immunity(X1,X3)
    | smaller(hazard_of_mortality(X1,X3),hazard_of_mortality(X1,X2))
    | ~ organization(X1)
    | ~ greater(capability(X1,X3),capability(X1,X2))
    | ~ greater_or_equal(position(X1,X3),position(X1,X2)) ),
    inference(fof_simplification,[status(thm)],[assumption_4_42]) ).

cnf(c_0_30,plain,
    ( greater(X2,X1)
    | ~ smaller(X1,X2) ),
    c_0_26 ).

cnf(c_0_31,negated_conjecture,
    smaller(capability(sk1,sk3),capability(sk1,sk2)),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_32,plain,
    ( position(X1,X2) = position(X1,X3)
    | ~ organization(X1)
    | external_ties(X1,X2) != external_ties(X1,X3) ),
    inference(fof_simplification,[status(thm)],[assumption_6_49]) ).

cnf(c_0_33,plain,
    ( external_ties(X1,X2) = external_ties(X1,X3)
    | ~ organization(X1) ),
    inference(fof_simplification,[status(thm)],[assumption_11_51]) ).

cnf(c_0_34,plain,
    ( has_immunity(X1,X2)
    | has_immunity(X1,X3)
    | smaller(hazard_of_mortality(X1,X3),hazard_of_mortality(X1,X2))
    | ~ organization(X1)
    | ~ greater(capability(X1,X3),capability(X1,X2))
    | ~ greater_or_equal(position(X1,X3),position(X1,X2)) ),
    c_0_29 ).

cnf(c_0_35,negated_conjecture,
    greater(capability(sk1,sk2),capability(sk1,sk3)),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_36,plain,
    ( position(X1,X2) = position(X1,X3)
    | ~ organization(X1)
    | external_ties(X1,X2) != external_ties(X1,X3) ),
    c_0_32 ).

cnf(c_0_37,plain,
    ( external_ties(X1,X2) = external_ties(X1,X3)
    | ~ organization(X1) ),
    c_0_33 ).

cnf(c_0_38,plain,
    ( greater_or_equal(X1,X2)
    | X1 != X2 ),
    inference(fof_simplification,[status(thm)],[definition_greater_or_equal_6]) ).

cnf(c_0_39,negated_conjecture,
    ( has_immunity(sk1,sk3)
    | has_immunity(sk1,sk2)
    | smaller(hazard_of_mortality(sk1,sk2),hazard_of_mortality(sk1,sk3))
    | ~ greater_or_equal(position(sk1,sk2),position(sk1,sk3)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_21])]) ).

cnf(c_0_40,plain,
    ( position(X1,X2) = position(X1,X3)
    | ~ organization(X1) ),
    inference(csr,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_41,plain,
    ( greater_or_equal(X1,X2)
    | X1 != X2 ),
    c_0_38 ).

cnf(c_0_42,negated_conjecture,
    ( has_immunity(sk1,sk2)
    | has_immunity(sk1,sk3)
    | smaller(hazard_of_mortality(sk1,sk2),hazard_of_mortality(sk1,sk3))
    | ~ greater_or_equal(position(sk1,sk2),position(sk1,X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_21])]) ).

cnf(c_0_43,plain,
    greater_or_equal(X1,X1),
    inference(er,[status(thm)],[c_0_41]) ).

cnf(c_0_44,negated_conjecture,
    ~ greater(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)),
    inference(fof_simplification,[status(thm)],[theorem_3_56]) ).

cnf(c_0_45,plain,
    ( has_endowment(X1)
    | ~ organization(X1)
    | ~ has_immunity(X1,X2) ),
    inference(fof_simplification,[status(thm)],[assumption_1_41]) ).

cnf(c_0_46,negated_conjecture,
    ( has_immunity(sk1,sk3)
    | has_immunity(sk1,sk2)
    | smaller(hazard_of_mortality(sk1,sk2),hazard_of_mortality(sk1,sk3)) ),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_47,negated_conjecture,
    ~ greater(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)),
    c_0_44 ).

cnf(c_0_48,negated_conjecture,
    ~ has_endowment(sk1),
    inference(fof_simplification,[status(thm)],[theorem_3_54]) ).

cnf(c_0_49,plain,
    ( has_endowment(X1)
    | ~ organization(X1)
    | ~ has_immunity(X1,X2) ),
    c_0_45 ).

cnf(c_0_50,negated_conjecture,
    ( has_immunity(sk1,sk2)
    | has_immunity(sk1,sk3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_46]),c_0_47]) ).

cnf(c_0_51,negated_conjecture,
    ~ has_endowment(sk1),
    c_0_48 ).

cnf(c_0_52,negated_conjecture,
    has_immunity(sk1,sk3),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_21])]),c_0_51]) ).

cnf(c_0_53,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_52]),c_0_21])]),c_0_51]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : MGT050-1 : TPTP v8.2.0. Released v2.4.0.
% 0.09/0.10  % Command    : run_E %s %d THM
% 0.09/0.29  % Computer : n032.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   : 300
% 0.09/0.29  % WCLimit    : 300
% 0.09/0.29  % DateTime   : Sun May 19 00:00:37 EDT 2024
% 0.09/0.29  % CPUTime    : 
% 0.14/0.37  Running first-order theorem proving
% 0.14/0.37  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.41  # Version: 3.1.0
% 0.14/0.41  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.41  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.41  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.41  # Starting new_bool_3 with 300s (1) cores
% 0.14/0.41  # Starting new_bool_1 with 300s (1) cores
% 0.14/0.41  # Starting sh5l with 300s (1) cores
% 0.14/0.41  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1430 completed with status 0
% 0.14/0.41  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.14/0.41  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.41  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.41  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.41  # No SInE strategy applied
% 0.14/0.41  # Search class: FGHSF-FFMF22-SFFFFFNN
% 0.14/0.41  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.41  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.14/0.41  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.14/0.41  # Starting new_bool_3 with 136s (1) cores
% 0.14/0.41  # Starting new_bool_1 with 136s (1) cores
% 0.14/0.41  # Starting sh5l with 136s (1) cores
% 0.14/0.41  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1435 completed with status 0
% 0.14/0.41  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.14/0.41  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.41  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.41  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.41  # No SInE strategy applied
% 0.14/0.41  # Search class: FGHSF-FFMF22-SFFFFFNN
% 0.14/0.41  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.41  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.14/0.41  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.14/0.41  # Preprocessing time       : 0.001 s
% 0.14/0.41  # Presaturation interreduction done
% 0.14/0.41  
% 0.14/0.41  # Proof found!
% 0.14/0.41  # SZS status Unsatisfiable
% 0.14/0.41  # SZS output start CNFRefutation
% See solution above
% 0.14/0.41  # Parsed axioms                        : 27
% 0.14/0.41  # Removed by relevancy pruning/SinE    : 0
% 0.14/0.41  # Initial clauses                      : 27
% 0.14/0.41  # Removed in clause preprocessing      : 0
% 0.14/0.41  # Initial clauses in saturation        : 27
% 0.14/0.41  # Processed clauses                    : 320
% 0.14/0.41  # ...of these trivial                  : 0
% 0.14/0.41  # ...subsumed                          : 114
% 0.14/0.41  # ...remaining for further processing  : 206
% 0.14/0.41  # Other redundant clauses eliminated   : 2
% 0.14/0.41  # Clauses deleted for lack of memory   : 0
% 0.14/0.41  # Backward-subsumed                    : 20
% 0.14/0.41  # Backward-rewritten                   : 2
% 0.14/0.41  # Generated clauses                    : 1823
% 0.14/0.41  # ...of the previous two non-redundant : 1534
% 0.14/0.41  # ...aggressively subsumed             : 0
% 0.14/0.41  # Contextual simplify-reflections      : 3
% 0.14/0.41  # Paramodulations                      : 1803
% 0.14/0.41  # Factorizations                       : 16
% 0.14/0.41  # NegExts                              : 0
% 0.14/0.41  # Equation resolutions                 : 4
% 0.14/0.41  # Disequality decompositions           : 0
% 0.14/0.41  # Total rewrite steps                  : 324
% 0.14/0.41  # ...of those cached                   : 318
% 0.14/0.41  # Propositional unsat checks           : 0
% 0.14/0.41  #    Propositional check models        : 0
% 0.14/0.41  #    Propositional check unsatisfiable : 0
% 0.14/0.41  #    Propositional clauses             : 0
% 0.14/0.41  #    Propositional clauses after purity: 0
% 0.14/0.41  #    Propositional unsat core size     : 0
% 0.14/0.41  #    Propositional preprocessing time  : 0.000
% 0.14/0.41  #    Propositional encoding time       : 0.000
% 0.14/0.41  #    Propositional solver time         : 0.000
% 0.14/0.41  #    Success case prop preproc time    : 0.000
% 0.14/0.41  #    Success case prop encoding time   : 0.000
% 0.14/0.41  #    Success case prop solver time     : 0.000
% 0.14/0.41  # Current number of processed clauses  : 155
% 0.14/0.41  #    Positive orientable unit clauses  : 8
% 0.14/0.41  #    Positive unorientable unit clauses: 0
% 0.14/0.41  #    Negative unit clauses             : 5
% 0.14/0.41  #    Non-unit-clauses                  : 142
% 0.14/0.41  # Current number of unprocessed clauses: 1228
% 0.14/0.41  # ...number of literals in the above   : 7802
% 0.14/0.41  # Current number of archived formulas  : 0
% 0.14/0.41  # Current number of archived clauses   : 49
% 0.14/0.41  # Clause-clause subsumption calls (NU) : 10420
% 0.14/0.41  # Rec. Clause-clause subsumption calls : 4719
% 0.14/0.41  # Non-unit clause-clause subsumptions  : 133
% 0.14/0.41  # Unit Clause-clause subsumption calls : 2
% 0.14/0.41  # Rewrite failures with RHS unbound    : 0
% 0.14/0.41  # BW rewrite match attempts            : 2
% 0.14/0.41  # BW rewrite match successes           : 2
% 0.14/0.41  # Condensation attempts                : 0
% 0.14/0.41  # Condensation successes               : 0
% 0.14/0.41  # Termbank termtop insertions          : 39997
% 0.14/0.41  # Search garbage collected termcells   : 80
% 0.14/0.41  
% 0.14/0.41  # -------------------------------------------------
% 0.14/0.41  # User time                : 0.032 s
% 0.14/0.41  # System time              : 0.006 s
% 0.14/0.41  # Total time               : 0.037 s
% 0.14/0.41  # Maximum resident set size: 1668 pages
% 0.14/0.41  
% 0.14/0.41  # -------------------------------------------------
% 0.14/0.41  # User time                : 0.169 s
% 0.14/0.41  # System time              : 0.008 s
% 0.14/0.41  # Total time               : 0.177 s
% 0.14/0.41  # Maximum resident set size: 1720 pages
% 0.14/0.41  % E---3.1 exiting
% 0.14/0.41  % E exiting
%------------------------------------------------------------------------------