TSTP Solution File: MGT036-3 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : MGT036-3 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n029.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 18:37:09 EDT 2023

% Result   : Unsatisfiable 136.37s 136.52s
% Output   : CNFRefutation 136.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   19 (  11 unt;   0 nHn;  19 RR)
%            Number of literals    :   39 (   0 equ;  24 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-4 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   23 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(d2_2,hypothesis,
    ( outcompetes(X3,X2,X4)
    | ~ environment(X1)
    | ~ subpopulations(X2,X3,X1,X4)
    | ~ greater_or_equal(growth_rate(X3,X4),zero)
    | ~ greater(zero,growth_rate(X2,X4)) ),
    file('/export/starexec/sandbox2/tmp/tmp.55mh4cdCFv/E---3.1_6221.p',d2_2) ).

cnf(a13_star_8,hypothesis,
    greater(zero,growth_rate(efficient_producers,sk2)),
    file('/export/starexec/sandbox2/tmp/tmp.55mh4cdCFv/E---3.1_6221.p',a13_star_8) ).

cnf(prove_t5_star_9,negated_conjecture,
    ( ~ environment(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2)
    | ~ outcompetes(first_movers,efficient_producers,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.55mh4cdCFv/E---3.1_6221.p',prove_t5_star_9) ).

cnf(a13_star_6,hypothesis,
    subpopulations(first_movers,efficient_producers,sk1,sk2),
    file('/export/starexec/sandbox2/tmp/tmp.55mh4cdCFv/E---3.1_6221.p',a13_star_6) ).

cnf(a13_star_5,hypothesis,
    environment(sk1),
    file('/export/starexec/sandbox2/tmp/tmp.55mh4cdCFv/E---3.1_6221.p',a13_star_5) ).

cnf(a13_star_7,hypothesis,
    greater_or_equal(growth_rate(first_movers,sk2),zero),
    file('/export/starexec/sandbox2/tmp/tmp.55mh4cdCFv/E---3.1_6221.p',a13_star_7) ).

cnf(mp_symmetry_of_subpopulations_1,axiom,
    ( subpopulations(X3,X2,X1,X4)
    | ~ environment(X1)
    | ~ subpopulations(X2,X3,X1,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.55mh4cdCFv/E---3.1_6221.p',mp_symmetry_of_subpopulations_1) ).

cnf(c_0_7,hypothesis,
    ( outcompetes(X3,X2,X4)
    | ~ environment(X1)
    | ~ subpopulations(X2,X3,X1,X4)
    | ~ greater_or_equal(growth_rate(X3,X4),zero)
    | ~ greater(zero,growth_rate(X2,X4)) ),
    d2_2 ).

cnf(c_0_8,hypothesis,
    greater(zero,growth_rate(efficient_producers,sk2)),
    a13_star_8 ).

cnf(c_0_9,negated_conjecture,
    ( ~ environment(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2)
    | ~ outcompetes(first_movers,efficient_producers,X2) ),
    prove_t5_star_9 ).

cnf(c_0_10,hypothesis,
    subpopulations(first_movers,efficient_producers,sk1,sk2),
    a13_star_6 ).

cnf(c_0_11,hypothesis,
    environment(sk1),
    a13_star_5 ).

cnf(c_0_12,hypothesis,
    ( outcompetes(X1,efficient_producers,sk2)
    | ~ greater_or_equal(growth_rate(X1,sk2),zero)
    | ~ subpopulations(efficient_producers,X1,X2,sk2)
    | ~ environment(X2) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_13,hypothesis,
    greater_or_equal(growth_rate(first_movers,sk2),zero),
    a13_star_7 ).

cnf(c_0_14,negated_conjecture,
    ~ outcompetes(first_movers,efficient_producers,sk2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]) ).

cnf(c_0_15,axiom,
    ( subpopulations(X3,X2,X1,X4)
    | ~ environment(X1)
    | ~ subpopulations(X2,X3,X1,X4) ),
    mp_symmetry_of_subpopulations_1 ).

cnf(c_0_16,hypothesis,
    ( ~ subpopulations(efficient_producers,first_movers,X1,sk2)
    | ~ environment(X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]) ).

cnf(c_0_17,hypothesis,
    subpopulations(efficient_producers,first_movers,sk1,sk2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_10]),c_0_11])]) ).

cnf(c_0_18,hypothesis,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_11])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14  % Problem    : MGT036-3 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.15  % Command    : run_E %s %d THM
% 0.15/0.36  % Computer : n029.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 00:43:07 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.23/0.51  Running first-order model finding
% 0.23/0.51  Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.55mh4cdCFv/E---3.1_6221.p
% 136.37/136.52  # Version: 3.1pre001
% 136.37/136.52  # Preprocessing class: FSMSSMSSSSSNFFN.
% 136.37/136.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 136.37/136.52  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 136.37/136.52  # Starting new_bool_3 with 300s (1) cores
% 136.37/136.52  # Starting new_bool_1 with 300s (1) cores
% 136.37/136.52  # Starting sh5l with 300s (1) cores
% 136.37/136.52  # new_bool_1 with pid 6300 completed with status 0
% 136.37/136.52  # Result found by new_bool_1
% 136.37/136.52  # Preprocessing class: FSMSSMSSSSSNFFN.
% 136.37/136.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 136.37/136.52  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 136.37/136.52  # Starting new_bool_3 with 300s (1) cores
% 136.37/136.52  # Starting new_bool_1 with 300s (1) cores
% 136.37/136.52  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 136.37/136.52  # Search class: FHHNF-FFSS22-SFFFFFNN
% 136.37/136.52  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 136.37/136.52  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 136.37/136.52  # SAT001_MinMin_p005000_rr_RG with pid 6303 completed with status 0
% 136.37/136.52  # Result found by SAT001_MinMin_p005000_rr_RG
% 136.37/136.52  # Preprocessing class: FSMSSMSSSSSNFFN.
% 136.37/136.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 136.37/136.52  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 136.37/136.52  # Starting new_bool_3 with 300s (1) cores
% 136.37/136.52  # Starting new_bool_1 with 300s (1) cores
% 136.37/136.52  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 136.37/136.52  # Search class: FHHNF-FFSS22-SFFFFFNN
% 136.37/136.52  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 136.37/136.52  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 136.37/136.52  # Preprocessing time       : 0.001 s
% 136.37/136.52  # Presaturation interreduction done
% 136.37/136.52  
% 136.37/136.52  # Proof found!
% 136.37/136.52  # SZS status Unsatisfiable
% 136.37/136.52  # SZS output start CNFRefutation
% See solution above
% 136.37/136.52  # Parsed axioms                        : 9
% 136.37/136.52  # Removed by relevancy pruning/SinE    : 0
% 136.37/136.52  # Initial clauses                      : 9
% 136.37/136.52  # Removed in clause preprocessing      : 0
% 136.37/136.52  # Initial clauses in saturation        : 9
% 136.37/136.52  # Processed clauses                    : 24
% 136.37/136.52  # ...of these trivial                  : 0
% 136.37/136.52  # ...subsumed                          : 0
% 136.37/136.52  # ...remaining for further processing  : 24
% 136.37/136.52  # Other redundant clauses eliminated   : 0
% 136.37/136.52  # Clauses deleted for lack of memory   : 0
% 136.37/136.52  # Backward-subsumed                    : 0
% 136.37/136.52  # Backward-rewritten                   : 0
% 136.37/136.52  # Generated clauses                    : 12
% 136.37/136.52  # ...of the previous two non-redundant : 8
% 136.37/136.52  # ...aggressively subsumed             : 0
% 136.37/136.52  # Contextual simplify-reflections      : 0
% 136.37/136.52  # Paramodulations                      : 12
% 136.37/136.52  # Factorizations                       : 0
% 136.37/136.52  # NegExts                              : 0
% 136.37/136.52  # Equation resolutions                 : 0
% 136.37/136.52  # Total rewrite steps                  : 11
% 136.37/136.52  # Propositional unsat checks           : 0
% 136.37/136.52  #    Propositional check models        : 0
% 136.37/136.52  #    Propositional check unsatisfiable : 0
% 136.37/136.52  #    Propositional clauses             : 0
% 136.37/136.52  #    Propositional clauses after purity: 0
% 136.37/136.52  #    Propositional unsat core size     : 0
% 136.37/136.52  #    Propositional preprocessing time  : 0.000
% 136.37/136.52  #    Propositional encoding time       : 0.000
% 136.37/136.52  #    Propositional solver time         : 0.000
% 136.37/136.52  #    Success case prop preproc time    : 0.000
% 136.37/136.52  #    Success case prop encoding time   : 0.000
% 136.37/136.52  #    Success case prop solver time     : 0.000
% 136.37/136.52  # Current number of processed clauses  : 15
% 136.37/136.52  #    Positive orientable unit clauses  : 5
% 136.37/136.52  #    Positive unorientable unit clauses: 0
% 136.37/136.52  #    Negative unit clauses             : 1
% 136.37/136.52  #    Non-unit-clauses                  : 9
% 136.37/136.52  # Current number of unprocessed clauses: 2
% 136.37/136.52  # ...number of literals in the above   : 9
% 136.37/136.52  # Current number of archived formulas  : 0
% 136.37/136.52  # Current number of archived clauses   : 9
% 136.37/136.52  # Clause-clause subsumption calls (NU) : 1
% 136.37/136.52  # Rec. Clause-clause subsumption calls : 0
% 136.37/136.52  # Non-unit clause-clause subsumptions  : 0
% 136.37/136.52  # Unit Clause-clause subsumption calls : 1
% 136.37/136.52  # Rewrite failures with RHS unbound    : 0
% 136.37/136.52  # BW rewrite match attempts            : 1
% 136.37/136.52  # BW rewrite match successes           : 0
% 136.37/136.52  # Condensation attempts                : 0
% 136.37/136.52  # Condensation successes               : 0
% 136.37/136.52  # Termbank termtop insertions          : 510
% 136.37/136.52  
% 136.37/136.52  # -------------------------------------------------
% 136.37/136.52  # User time                : 0.002 s
% 136.37/136.52  # System time              : 0.002 s
% 136.37/136.52  # Total time               : 0.004 s
% 136.37/136.52  # Maximum resident set size: 1628 pages
% 136.37/136.52  
% 136.37/136.52  # -------------------------------------------------
% 136.37/136.52  # User time                : 0.003 s
% 136.37/136.52  # System time              : 0.004 s
% 136.37/136.52  # Total time               : 0.007 s
% 136.37/136.52  # Maximum resident set size: 1676 pages
% 136.37/136.52  % E---3.1 exiting
%------------------------------------------------------------------------------