TSTP Solution File: MGT050-1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : MGT050-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n018.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 18:35:49 EDT 2023

% Result   : Unsatisfiable 0.22s 0.57s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   42 (  15 unt;   6 nHn;  35 RR)
%            Number of literals    :   94 (  13 equ;  45 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   :   63 (  15 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/sandbox/tmp/tmp.zzAYaYE9vM/E---3.1_5949.p',assumption_5_46) ).

cnf(assumption_10_50,axiom,
    ( stock_of_knowledge(X1,X2) = stock_of_knowledge(X1,X3)
    | ~ organization(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.zzAYaYE9vM/E---3.1_5949.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/sandbox/tmp/tmp.zzAYaYE9vM/E---3.1_5949.p',assumption_12_52) ).

cnf(theorem_3_55,negated_conjecture,
    greater(age(sk1,sk3),age(sk1,sk2)),
    file('/export/starexec/sandbox/tmp/tmp.zzAYaYE9vM/E---3.1_5949.p',theorem_3_55) ).

cnf(theorem_3_53,negated_conjecture,
    organization(sk1),
    file('/export/starexec/sandbox/tmp/tmp.zzAYaYE9vM/E---3.1_5949.p',theorem_3_53) ).

cnf(definition_smaller_or_equal_3,axiom,
    ( smaller_or_equal(X1,X2)
    | X1 != X2 ),
    file('/export/starexec/sandbox/tmp/tmp.zzAYaYE9vM/E---3.1_5949.p',definition_smaller_or_equal_3) ).

cnf(definition_smaller_7,axiom,
    ( greater(X2,X1)
    | ~ smaller(X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.zzAYaYE9vM/E---3.1_5949.p',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/sandbox/tmp/tmp.zzAYaYE9vM/E---3.1_5949.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/sandbox/tmp/tmp.zzAYaYE9vM/E---3.1_5949.p',assumption_6_49) ).

cnf(assumption_11_51,axiom,
    ( external_ties(X1,X2) = external_ties(X1,X3)
    | ~ organization(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.zzAYaYE9vM/E---3.1_5949.p',assumption_11_51) ).

cnf(definition_greater_or_equal_6,axiom,
    ( greater_or_equal(X1,X2)
    | X1 != X2 ),
    file('/export/starexec/sandbox/tmp/tmp.zzAYaYE9vM/E---3.1_5949.p',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/sandbox/tmp/tmp.zzAYaYE9vM/E---3.1_5949.p',theorem_3_56) ).

cnf(assumption_1_41,axiom,
    ( has_endowment(X1)
    | ~ organization(X1)
    | ~ has_immunity(X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.zzAYaYE9vM/E---3.1_5949.p',assumption_1_41) ).

cnf(theorem_3_54,negated_conjecture,
    ~ has_endowment(sk1),
    file('/export/starexec/sandbox/tmp/tmp.zzAYaYE9vM/E---3.1_5949.p',theorem_3_54) ).

cnf(c_0_14,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)) ),
    assumption_5_46 ).

cnf(c_0_15,axiom,
    ( stock_of_knowledge(X1,X2) = stock_of_knowledge(X1,X3)
    | ~ organization(X1) ),
    assumption_10_50 ).

cnf(c_0_16,axiom,
    ( greater(internal_friction(X1,X2),internal_friction(X1,X3))
    | ~ organization(X1)
    | ~ greater(age(X1,X2),age(X1,X3)) ),
    assumption_12_52 ).

cnf(c_0_17,negated_conjecture,
    greater(age(sk1,sk3),age(sk1,sk2)),
    theorem_3_55 ).

cnf(c_0_18,negated_conjecture,
    organization(sk1),
    theorem_3_53 ).

cnf(c_0_19,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_14,c_0_15]) ).

cnf(c_0_20,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_16,c_0_17]),c_0_18])]) ).

cnf(c_0_21,axiom,
    ( smaller_or_equal(X1,X2)
    | X1 != X2 ),
    definition_smaller_or_equal_3 ).

cnf(c_0_22,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_19,c_0_20]),c_0_18])]) ).

cnf(c_0_23,plain,
    smaller_or_equal(X1,X1),
    inference(er,[status(thm)],[c_0_21]) ).

cnf(c_0_24,axiom,
    ( greater(X2,X1)
    | ~ smaller(X1,X2) ),
    definition_smaller_7 ).

cnf(c_0_25,negated_conjecture,
    smaller(capability(sk1,sk3),capability(sk1,sk2)),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_26,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)) ),
    assumption_4_42 ).

cnf(c_0_27,negated_conjecture,
    greater(capability(sk1,sk2),capability(sk1,sk3)),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_28,axiom,
    ( position(X1,X2) = position(X1,X3)
    | ~ organization(X1)
    | external_ties(X1,X2) != external_ties(X1,X3) ),
    assumption_6_49 ).

cnf(c_0_29,axiom,
    ( external_ties(X1,X2) = external_ties(X1,X3)
    | ~ organization(X1) ),
    assumption_11_51 ).

cnf(c_0_30,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_26,c_0_27]),c_0_18])]) ).

cnf(c_0_31,plain,
    ( position(X1,X2) = position(X1,X3)
    | ~ organization(X1) ),
    inference(csr,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_32,axiom,
    ( greater_or_equal(X1,X2)
    | X1 != X2 ),
    definition_greater_or_equal_6 ).

cnf(c_0_33,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_30,c_0_31]),c_0_18])]) ).

cnf(c_0_34,plain,
    greater_or_equal(X1,X1),
    inference(er,[status(thm)],[c_0_32]) ).

cnf(c_0_35,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_33,c_0_34]) ).

cnf(c_0_36,negated_conjecture,
    ~ greater(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)),
    theorem_3_56 ).

cnf(c_0_37,axiom,
    ( has_endowment(X1)
    | ~ organization(X1)
    | ~ has_immunity(X1,X2) ),
    assumption_1_41 ).

cnf(c_0_38,negated_conjecture,
    ( has_immunity(sk1,sk2)
    | has_immunity(sk1,sk3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_35]),c_0_36]) ).

cnf(c_0_39,negated_conjecture,
    ~ has_endowment(sk1),
    theorem_3_54 ).

cnf(c_0_40,negated_conjecture,
    has_immunity(sk1,sk3),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_18])]),c_0_39]) ).

cnf(c_0_41,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_40]),c_0_18])]),c_0_39]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : MGT050-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.14  % Command    : run_E %s %d THM
% 0.15/0.36  % Computer : n018.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 2400
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Oct  3 00:35:09 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.22/0.50  Running first-order theorem proving
% 0.22/0.50  Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.zzAYaYE9vM/E---3.1_5949.p
% 0.22/0.57  # Version: 3.1pre001
% 0.22/0.57  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.57  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.57  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.57  # Starting new_bool_3 with 300s (1) cores
% 0.22/0.57  # Starting new_bool_1 with 300s (1) cores
% 0.22/0.57  # Starting sh5l with 300s (1) cores
% 0.22/0.57  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 6123 completed with status 0
% 0.22/0.57  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.22/0.57  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.57  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.57  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.57  # No SInE strategy applied
% 0.22/0.57  # Search class: FGHSF-FFMF22-SFFFFFNN
% 0.22/0.57  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/0.57  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.22/0.57  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.22/0.57  # Starting new_bool_3 with 136s (1) cores
% 0.22/0.57  # Starting new_bool_1 with 136s (1) cores
% 0.22/0.57  # Starting sh5l with 136s (1) cores
% 0.22/0.57  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 6128 completed with status 0
% 0.22/0.57  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.22/0.57  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.57  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.57  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.57  # No SInE strategy applied
% 0.22/0.57  # Search class: FGHSF-FFMF22-SFFFFFNN
% 0.22/0.57  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/0.57  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.22/0.57  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.22/0.57  # Preprocessing time       : 0.001 s
% 0.22/0.57  # Presaturation interreduction done
% 0.22/0.57  
% 0.22/0.57  # Proof found!
% 0.22/0.57  # SZS status Unsatisfiable
% 0.22/0.57  # SZS output start CNFRefutation
% See solution above
% 0.22/0.57  # Parsed axioms                        : 27
% 0.22/0.57  # Removed by relevancy pruning/SinE    : 0
% 0.22/0.57  # Initial clauses                      : 27
% 0.22/0.57  # Removed in clause preprocessing      : 0
% 0.22/0.57  # Initial clauses in saturation        : 27
% 0.22/0.57  # Processed clauses                    : 320
% 0.22/0.57  # ...of these trivial                  : 0
% 0.22/0.57  # ...subsumed                          : 114
% 0.22/0.57  # ...remaining for further processing  : 206
% 0.22/0.57  # Other redundant clauses eliminated   : 2
% 0.22/0.57  # Clauses deleted for lack of memory   : 0
% 0.22/0.57  # Backward-subsumed                    : 20
% 0.22/0.57  # Backward-rewritten                   : 2
% 0.22/0.57  # Generated clauses                    : 1823
% 0.22/0.57  # ...of the previous two non-redundant : 1534
% 0.22/0.57  # ...aggressively subsumed             : 0
% 0.22/0.57  # Contextual simplify-reflections      : 3
% 0.22/0.57  # Paramodulations                      : 1803
% 0.22/0.57  # Factorizations                       : 16
% 0.22/0.57  # NegExts                              : 0
% 0.22/0.57  # Equation resolutions                 : 4
% 0.22/0.57  # Total rewrite steps                  : 324
% 0.22/0.57  # Propositional unsat checks           : 0
% 0.22/0.57  #    Propositional check models        : 0
% 0.22/0.57  #    Propositional check unsatisfiable : 0
% 0.22/0.57  #    Propositional clauses             : 0
% 0.22/0.57  #    Propositional clauses after purity: 0
% 0.22/0.57  #    Propositional unsat core size     : 0
% 0.22/0.57  #    Propositional preprocessing time  : 0.000
% 0.22/0.57  #    Propositional encoding time       : 0.000
% 0.22/0.57  #    Propositional solver time         : 0.000
% 0.22/0.57  #    Success case prop preproc time    : 0.000
% 0.22/0.57  #    Success case prop encoding time   : 0.000
% 0.22/0.57  #    Success case prop solver time     : 0.000
% 0.22/0.57  # Current number of processed clauses  : 155
% 0.22/0.57  #    Positive orientable unit clauses  : 8
% 0.22/0.57  #    Positive unorientable unit clauses: 0
% 0.22/0.57  #    Negative unit clauses             : 5
% 0.22/0.57  #    Non-unit-clauses                  : 142
% 0.22/0.57  # Current number of unprocessed clauses: 1228
% 0.22/0.57  # ...number of literals in the above   : 7802
% 0.22/0.57  # Current number of archived formulas  : 0
% 0.22/0.57  # Current number of archived clauses   : 49
% 0.22/0.57  # Clause-clause subsumption calls (NU) : 10420
% 0.22/0.57  # Rec. Clause-clause subsumption calls : 4719
% 0.22/0.57  # Non-unit clause-clause subsumptions  : 133
% 0.22/0.57  # Unit Clause-clause subsumption calls : 2
% 0.22/0.57  # Rewrite failures with RHS unbound    : 0
% 0.22/0.57  # BW rewrite match attempts            : 2
% 0.22/0.57  # BW rewrite match successes           : 2
% 0.22/0.57  # Condensation attempts                : 0
% 0.22/0.57  # Condensation successes               : 0
% 0.22/0.57  # Termbank termtop insertions          : 39793
% 0.22/0.57  
% 0.22/0.57  # -------------------------------------------------
% 0.22/0.57  # User time                : 0.058 s
% 0.22/0.57  # System time              : 0.003 s
% 0.22/0.57  # Total time               : 0.062 s
% 0.22/0.57  # Maximum resident set size: 1660 pages
% 0.22/0.57  
% 0.22/0.57  # -------------------------------------------------
% 0.22/0.57  # User time                : 0.297 s
% 0.22/0.57  # System time              : 0.009 s
% 0.22/0.57  # Total time               : 0.306 s
% 0.22/0.57  # Maximum resident set size: 1692 pages
% 0.22/0.57  % E---3.1 exiting
% 0.22/0.57  % E---3.1 exiting
%------------------------------------------------------------------------------