TSTP Solution File: MGT023-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : MGT023-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n007.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 18:36:02 EDT 2023

% Result   : Unsatisfiable 0.21s 0.46s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   23 (   8 unt;   8 nHn;  23 RR)
%            Number of literals    :   72 (   9 equ;  42 neg)
%            Maximal clause size   :    5 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-4 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   23 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(d1_17,hypothesis,
    ( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
    | subpopulations(first_movers,efficient_producers,X1,sk1(X2,X1))
    | X2 = critical_point(X1)
    | ~ environment(X1)
    | ~ in_environment(X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.dXfjkxglDs/E---3.1_28562.p',d1_17) ).

cnf(l12_20,hypothesis,
    ( in_environment(X1,sk2(X1))
    | ~ environment(X1)
    | ~ stable(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.dXfjkxglDs/E---3.1_28562.p',l12_20) ).

cnf(l12_21,hypothesis,
    ( ~ environment(X1)
    | ~ stable(X1)
    | ~ greater(growth_rate(efficient_producers,sk2(X1)),growth_rate(first_movers,sk2(X1))) ),
    file('/export/starexec/sandbox/tmp/tmp.dXfjkxglDs/E---3.1_28562.p',l12_21) ).

cnf(l12_22,hypothesis,
    ( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
    | ~ environment(X1)
    | ~ stable(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2)
    | ~ greater(X2,sk2(X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.dXfjkxglDs/E---3.1_28562.p',l12_22) ).

cnf(d1_19,hypothesis,
    ( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
    | X2 = critical_point(X1)
    | ~ environment(X1)
    | ~ in_environment(X1,X2)
    | ~ greater(growth_rate(efficient_producers,sk1(X2,X1)),growth_rate(first_movers,sk1(X2,X1))) ),
    file('/export/starexec/sandbox/tmp/tmp.dXfjkxglDs/E---3.1_28562.p',d1_19) ).

cnf(d1_18,hypothesis,
    ( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
    | greater(sk1(X2,X1),X2)
    | X2 = critical_point(X1)
    | ~ environment(X1)
    | ~ in_environment(X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.dXfjkxglDs/E---3.1_28562.p',d1_18) ).

cnf(prove_l5_25,negated_conjecture,
    ~ in_environment(sk3,critical_point(sk3)),
    file('/export/starexec/sandbox/tmp/tmp.dXfjkxglDs/E---3.1_28562.p',prove_l5_25) ).

cnf(prove_l5_24,negated_conjecture,
    stable(sk3),
    file('/export/starexec/sandbox/tmp/tmp.dXfjkxglDs/E---3.1_28562.p',prove_l5_24) ).

cnf(prove_l5_23,negated_conjecture,
    environment(sk3),
    file('/export/starexec/sandbox/tmp/tmp.dXfjkxglDs/E---3.1_28562.p',prove_l5_23) ).

cnf(c_0_9,hypothesis,
    ( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
    | subpopulations(first_movers,efficient_producers,X1,sk1(X2,X1))
    | X2 = critical_point(X1)
    | ~ environment(X1)
    | ~ in_environment(X1,X2) ),
    d1_17 ).

cnf(c_0_10,hypothesis,
    ( in_environment(X1,sk2(X1))
    | ~ environment(X1)
    | ~ stable(X1) ),
    l12_20 ).

cnf(c_0_11,hypothesis,
    ( ~ environment(X1)
    | ~ stable(X1)
    | ~ greater(growth_rate(efficient_producers,sk2(X1)),growth_rate(first_movers,sk2(X1))) ),
    l12_21 ).

cnf(c_0_12,hypothesis,
    ( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
    | ~ environment(X1)
    | ~ stable(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2)
    | ~ greater(X2,sk2(X1)) ),
    l12_22 ).

cnf(c_0_13,hypothesis,
    ( critical_point(X1) = sk2(X1)
    | subpopulations(first_movers,efficient_producers,X1,sk1(sk2(X1),X1))
    | ~ stable(X1)
    | ~ environment(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).

cnf(c_0_14,hypothesis,
    ( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
    | X2 = critical_point(X1)
    | ~ environment(X1)
    | ~ in_environment(X1,X2)
    | ~ greater(growth_rate(efficient_producers,sk1(X2,X1)),growth_rate(first_movers,sk1(X2,X1))) ),
    d1_19 ).

cnf(c_0_15,hypothesis,
    ( critical_point(X1) = sk2(X1)
    | greater(growth_rate(efficient_producers,sk1(sk2(X1),X1)),growth_rate(first_movers,sk1(sk2(X1),X1)))
    | ~ stable(X1)
    | ~ greater(sk1(sk2(X1),X1),sk2(X1))
    | ~ environment(X1) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_16,hypothesis,
    ( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
    | greater(sk1(X2,X1),X2)
    | X2 = critical_point(X1)
    | ~ environment(X1)
    | ~ in_environment(X1,X2) ),
    d1_18 ).

cnf(c_0_17,negated_conjecture,
    ~ in_environment(sk3,critical_point(sk3)),
    prove_l5_25 ).

cnf(c_0_18,hypothesis,
    ( critical_point(X1) = sk2(X1)
    | ~ stable(X1)
    | ~ environment(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),c_0_10]),c_0_11]) ).

cnf(c_0_19,negated_conjecture,
    stable(sk3),
    prove_l5_24 ).

cnf(c_0_20,negated_conjecture,
    environment(sk3),
    prove_l5_23 ).

cnf(c_0_21,negated_conjecture,
    ~ in_environment(sk3,sk2(sk3)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_20])]) ).

cnf(c_0_22,hypothesis,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_10]),c_0_19]),c_0_20])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : MGT023-1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.15  % Command    : run_E %s %d THM
% 0.13/0.36  % Computer : n007.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit   : 2400
% 0.13/0.36  % WCLimit    : 300
% 0.13/0.36  % DateTime   : Tue Oct  3 00:15:24 EDT 2023
% 0.13/0.36  % CPUTime    : 
% 0.21/0.45  Running first-order model finding
% 0.21/0.45  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.dXfjkxglDs/E---3.1_28562.p
% 0.21/0.46  # Version: 3.1pre001
% 0.21/0.46  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.46  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.46  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.46  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.46  # Starting sh5l with 300s (1) cores
% 0.21/0.46  # new_bool_3 with pid 28675 completed with status 0
% 0.21/0.46  # Result found by new_bool_3
% 0.21/0.46  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.46  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.46  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.46  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.46  # Search class: FGHSF-FFSF21-SFFFFFNN
% 0.21/0.46  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.46  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.21/0.46  # SAT001_MinMin_p005000_rr_RG with pid 28679 completed with status 0
% 0.21/0.46  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.21/0.46  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.46  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.46  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.46  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.46  # Search class: FGHSF-FFSF21-SFFFFFNN
% 0.21/0.46  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.46  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.21/0.46  # Preprocessing time       : 0.001 s
% 0.21/0.46  # Presaturation interreduction done
% 0.21/0.46  
% 0.21/0.46  # Proof found!
% 0.21/0.46  # SZS status Unsatisfiable
% 0.21/0.46  # SZS output start CNFRefutation
% See solution above
% 0.21/0.46  # Parsed axioms                        : 9
% 0.21/0.46  # Removed by relevancy pruning/SinE    : 0
% 0.21/0.46  # Initial clauses                      : 9
% 0.21/0.46  # Removed in clause preprocessing      : 0
% 0.21/0.46  # Initial clauses in saturation        : 9
% 0.21/0.46  # Processed clauses                    : 22
% 0.21/0.46  # ...of these trivial                  : 0
% 0.21/0.46  # ...subsumed                          : 0
% 0.21/0.46  # ...remaining for further processing  : 22
% 0.21/0.46  # Other redundant clauses eliminated   : 0
% 0.21/0.46  # Clauses deleted for lack of memory   : 0
% 0.21/0.46  # Backward-subsumed                    : 2
% 0.21/0.46  # Backward-rewritten                   : 0
% 0.21/0.46  # Generated clauses                    : 5
% 0.21/0.46  # ...of the previous two non-redundant : 4
% 0.21/0.46  # ...aggressively subsumed             : 0
% 0.21/0.46  # Contextual simplify-reflections      : 4
% 0.21/0.46  # Paramodulations                      : 5
% 0.21/0.46  # Factorizations                       : 0
% 0.21/0.46  # NegExts                              : 0
% 0.21/0.46  # Equation resolutions                 : 0
% 0.21/0.46  # Total rewrite steps                  : 4
% 0.21/0.46  # Propositional unsat checks           : 0
% 0.21/0.46  #    Propositional check models        : 0
% 0.21/0.46  #    Propositional check unsatisfiable : 0
% 0.21/0.46  #    Propositional clauses             : 0
% 0.21/0.46  #    Propositional clauses after purity: 0
% 0.21/0.46  #    Propositional unsat core size     : 0
% 0.21/0.46  #    Propositional preprocessing time  : 0.000
% 0.21/0.46  #    Propositional encoding time       : 0.000
% 0.21/0.46  #    Propositional solver time         : 0.000
% 0.21/0.46  #    Success case prop preproc time    : 0.000
% 0.21/0.46  #    Success case prop encoding time   : 0.000
% 0.21/0.46  #    Success case prop solver time     : 0.000
% 0.21/0.46  # Current number of processed clauses  : 11
% 0.21/0.46  #    Positive orientable unit clauses  : 2
% 0.21/0.46  #    Positive unorientable unit clauses: 0
% 0.21/0.46  #    Negative unit clauses             : 2
% 0.21/0.46  #    Non-unit-clauses                  : 7
% 0.21/0.46  # Current number of unprocessed clauses: 0
% 0.21/0.46  # ...number of literals in the above   : 0
% 0.21/0.46  # Current number of archived formulas  : 0
% 0.21/0.46  # Current number of archived clauses   : 11
% 0.21/0.46  # Clause-clause subsumption calls (NU) : 66
% 0.21/0.46  # Rec. Clause-clause subsumption calls : 10
% 0.21/0.46  # Non-unit clause-clause subsumptions  : 6
% 0.21/0.46  # Unit Clause-clause subsumption calls : 0
% 0.21/0.46  # Rewrite failures with RHS unbound    : 0
% 0.21/0.46  # BW rewrite match attempts            : 0
% 0.21/0.46  # BW rewrite match successes           : 0
% 0.21/0.46  # Condensation attempts                : 0
% 0.21/0.46  # Condensation successes               : 0
% 0.21/0.46  # Termbank termtop insertions          : 653
% 0.21/0.46  
% 0.21/0.46  # -------------------------------------------------
% 0.21/0.46  # User time                : 0.001 s
% 0.21/0.46  # System time              : 0.002 s
% 0.21/0.46  # Total time               : 0.003 s
% 0.21/0.46  # Maximum resident set size: 1632 pages
% 0.21/0.46  
% 0.21/0.46  # -------------------------------------------------
% 0.21/0.46  # User time                : 0.001 s
% 0.21/0.46  # System time              : 0.005 s
% 0.21/0.46  # Total time               : 0.006 s
% 0.21/0.46  # Maximum resident set size: 1680 pages
% 0.21/0.46  % E---3.1 exiting
%------------------------------------------------------------------------------