TSTP Solution File: MGT036-2 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : MGT036-2 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n012.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 18:35:43 EDT 2023

% Result   : Unsatisfiable 0.20s 0.50s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   34 (  16 unt;   0 nHn;  31 RR)
%            Number of literals    :   74 (   0 equ;  45 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-4 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   61 (  12 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(mp_symmetry_of_subpopulations_1,axiom,
    ( subpopulations(X3,X2,X1,X4)
    | ~ environment(X1)
    | ~ subpopulations(X2,X3,X1,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.h8JS5GGGmX/E---3.1_1921.p',mp_symmetry_of_subpopulations_1) ).

cnf(prove_t5_13,negated_conjecture,
    subpopulations(first_movers,efficient_producers,sk1,sk2),
    file('/export/starexec/sandbox/tmp/tmp.h8JS5GGGmX/E---3.1_1921.p',prove_t5_13) ).

cnf(prove_t5_12,negated_conjecture,
    environment(sk1),
    file('/export/starexec/sandbox/tmp/tmp.h8JS5GGGmX/E---3.1_1921.p',prove_t5_12) ).

cnf(d2_9,hypothesis,
    ( greater(zero,growth_rate(X2,X4))
    | ~ environment(X1)
    | ~ subpopulations(X2,X3,X1,X4)
    | ~ outcompetes(X3,X2,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.h8JS5GGGmX/E---3.1_1921.p',d2_9) ).

cnf(prove_t5_14,negated_conjecture,
    outcompetes(first_movers,efficient_producers,sk2),
    file('/export/starexec/sandbox/tmp/tmp.h8JS5GGGmX/E---3.1_1921.p',prove_t5_14) ).

cnf(mp_growth_rate_relationships_3,axiom,
    ( environment(X1)
    | ~ greater(zero,growth_rate(X2,X3)) ),
    file('/export/starexec/sandbox/tmp/tmp.h8JS5GGGmX/E---3.1_1921.p',mp_growth_rate_relationships_3) ).

cnf(d2_8,hypothesis,
    ( greater_or_equal(growth_rate(X3,X4),zero)
    | ~ environment(X1)
    | ~ subpopulations(X2,X3,X1,X4)
    | ~ outcompetes(X3,X2,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.h8JS5GGGmX/E---3.1_1921.p',d2_8) ).

cnf(a13_11,hypothesis,
    ( greater(zero,growth_rate(X3,X2))
    | ~ environment(X1)
    | ~ in_environment(X1,X2)
    | ~ greater(resilience(X4),resilience(X3))
    | ~ greater(zero,growth_rate(X4,X2)) ),
    file('/export/starexec/sandbox/tmp/tmp.h8JS5GGGmX/E---3.1_1921.p',a13_11) ).

cnf(mp_growth_rate_relationships_5,axiom,
    ( ~ greater_or_equal(growth_rate(X1,X2),zero)
    | ~ greater(zero,growth_rate(X1,X2)) ),
    file('/export/starexec/sandbox/tmp/tmp.h8JS5GGGmX/E---3.1_1921.p',mp_growth_rate_relationships_5) ).

cnf(a2_10,hypothesis,
    greater(resilience(efficient_producers),resilience(first_movers)),
    file('/export/starexec/sandbox/tmp/tmp.h8JS5GGGmX/E---3.1_1921.p',a2_10) ).

cnf(mp_time_point_occur_2,axiom,
    ( in_environment(X1,X2)
    | ~ environment(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.h8JS5GGGmX/E---3.1_1921.p',mp_time_point_occur_2) ).

cnf(c_0_11,axiom,
    ( subpopulations(X3,X2,X1,X4)
    | ~ environment(X1)
    | ~ subpopulations(X2,X3,X1,X4) ),
    mp_symmetry_of_subpopulations_1 ).

cnf(c_0_12,negated_conjecture,
    subpopulations(first_movers,efficient_producers,sk1,sk2),
    prove_t5_13 ).

cnf(c_0_13,negated_conjecture,
    environment(sk1),
    prove_t5_12 ).

cnf(c_0_14,hypothesis,
    ( greater(zero,growth_rate(X2,X4))
    | ~ environment(X1)
    | ~ subpopulations(X2,X3,X1,X4)
    | ~ outcompetes(X3,X2,X4) ),
    d2_9 ).

cnf(c_0_15,negated_conjecture,
    subpopulations(efficient_producers,first_movers,sk1,sk2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]) ).

cnf(c_0_16,negated_conjecture,
    outcompetes(first_movers,efficient_producers,sk2),
    prove_t5_14 ).

cnf(c_0_17,axiom,
    ( environment(X1)
    | ~ greater(zero,growth_rate(X2,X3)) ),
    mp_growth_rate_relationships_3 ).

cnf(c_0_18,negated_conjecture,
    greater(zero,growth_rate(efficient_producers,sk2)),
    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_13])]) ).

cnf(c_0_19,hypothesis,
    ( greater_or_equal(growth_rate(X3,X4),zero)
    | ~ environment(X1)
    | ~ subpopulations(X2,X3,X1,X4)
    | ~ outcompetes(X3,X2,X4) ),
    d2_8 ).

cnf(c_0_20,negated_conjecture,
    environment(X1),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_21,hypothesis,
    ( greater(zero,growth_rate(X3,X2))
    | ~ environment(X1)
    | ~ in_environment(X1,X2)
    | ~ greater(resilience(X4),resilience(X3))
    | ~ greater(zero,growth_rate(X4,X2)) ),
    a13_11 ).

cnf(c_0_22,hypothesis,
    ( greater_or_equal(growth_rate(X1,X2),zero)
    | ~ outcompetes(X1,X3,X2)
    | ~ subpopulations(X3,X1,X4,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20])]) ).

cnf(c_0_23,hypothesis,
    ( greater(zero,growth_rate(X1,X2))
    | ~ greater(zero,growth_rate(X3,X2))
    | ~ greater(resilience(X3),resilience(X1))
    | ~ in_environment(X4,X2) ),
    inference(csr,[status(thm)],[c_0_21,c_0_17]) ).

cnf(c_0_24,axiom,
    ( ~ greater_or_equal(growth_rate(X1,X2),zero)
    | ~ greater(zero,growth_rate(X1,X2)) ),
    mp_growth_rate_relationships_5 ).

cnf(c_0_25,negated_conjecture,
    greater_or_equal(growth_rate(first_movers,sk2),zero),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_15]),c_0_16])]) ).

cnf(c_0_26,negated_conjecture,
    ( greater(zero,growth_rate(X1,sk2))
    | ~ greater(resilience(efficient_producers),resilience(X1))
    | ~ in_environment(X2,sk2) ),
    inference(spm,[status(thm)],[c_0_23,c_0_18]) ).

cnf(c_0_27,hypothesis,
    greater(resilience(efficient_producers),resilience(first_movers)),
    a2_10 ).

cnf(c_0_28,negated_conjecture,
    ~ greater(zero,growth_rate(first_movers,sk2)),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_29,axiom,
    ( in_environment(X1,X2)
    | ~ environment(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
    mp_time_point_occur_2 ).

cnf(c_0_30,hypothesis,
    ~ in_environment(X1,sk2),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]) ).

cnf(c_0_31,plain,
    ( in_environment(X1,X2)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_20])]) ).

cnf(c_0_32,hypothesis,
    ~ subpopulations(first_movers,efficient_producers,X1,sk2),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_33,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[c_0_12,c_0_32]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : MGT036-2 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n012.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 2400
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Oct  3 00:19:35 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.49  Running first-order theorem proving
% 0.20/0.49  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.h8JS5GGGmX/E---3.1_1921.p
% 0.20/0.50  # Version: 3.1pre001
% 0.20/0.50  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.50  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.50  # Starting sh5l with 300s (1) cores
% 0.20/0.50  # new_bool_3 with pid 2086 completed with status 0
% 0.20/0.50  # Result found by new_bool_3
% 0.20/0.50  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.50  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.50  # Search class: FGHNF-FFSS21-SFFFFFNN
% 0.20/0.50  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.50  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.20/0.50  # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 2091 completed with status 0
% 0.20/0.50  # Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.20/0.50  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.50  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.50  # Search class: FGHNF-FFSS21-SFFFFFNN
% 0.20/0.50  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.50  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.20/0.50  # Preprocessing time       : 0.001 s
% 0.20/0.50  # Presaturation interreduction done
% 0.20/0.50  
% 0.20/0.50  # Proof found!
% 0.20/0.50  # SZS status Unsatisfiable
% 0.20/0.50  # SZS output start CNFRefutation
% See solution above
% 0.20/0.50  # Parsed axioms                        : 14
% 0.20/0.50  # Removed by relevancy pruning/SinE    : 0
% 0.20/0.50  # Initial clauses                      : 14
% 0.20/0.50  # Removed in clause preprocessing      : 0
% 0.20/0.50  # Initial clauses in saturation        : 14
% 0.20/0.50  # Processed clauses                    : 58
% 0.20/0.50  # ...of these trivial                  : 0
% 0.20/0.50  # ...subsumed                          : 8
% 0.20/0.50  # ...remaining for further processing  : 50
% 0.20/0.50  # Other redundant clauses eliminated   : 0
% 0.20/0.50  # Clauses deleted for lack of memory   : 0
% 0.20/0.50  # Backward-subsumed                    : 4
% 0.20/0.50  # Backward-rewritten                   : 7
% 0.20/0.50  # Generated clauses                    : 49
% 0.20/0.50  # ...of the previous two non-redundant : 40
% 0.20/0.50  # ...aggressively subsumed             : 0
% 0.20/0.50  # Contextual simplify-reflections      : 5
% 0.20/0.50  # Paramodulations                      : 48
% 0.20/0.50  # Factorizations                       : 0
% 0.20/0.50  # NegExts                              : 0
% 0.20/0.50  # Equation resolutions                 : 0
% 0.20/0.50  # Total rewrite steps                  : 27
% 0.20/0.50  # Propositional unsat checks           : 0
% 0.20/0.50  #    Propositional check models        : 0
% 0.20/0.50  #    Propositional check unsatisfiable : 0
% 0.20/0.50  #    Propositional clauses             : 0
% 0.20/0.50  #    Propositional clauses after purity: 0
% 0.20/0.50  #    Propositional unsat core size     : 0
% 0.20/0.50  #    Propositional preprocessing time  : 0.000
% 0.20/0.50  #    Propositional encoding time       : 0.000
% 0.20/0.50  #    Propositional solver time         : 0.000
% 0.20/0.50  #    Success case prop preproc time    : 0.000
% 0.20/0.50  #    Success case prop encoding time   : 0.000
% 0.20/0.50  #    Success case prop solver time     : 0.000
% 0.20/0.50  # Current number of processed clauses  : 24
% 0.20/0.50  #    Positive orientable unit clauses  : 6
% 0.20/0.50  #    Positive unorientable unit clauses: 0
% 0.20/0.50  #    Negative unit clauses             : 4
% 0.20/0.50  #    Non-unit-clauses                  : 14
% 0.20/0.50  # Current number of unprocessed clauses: 5
% 0.20/0.50  # ...number of literals in the above   : 19
% 0.20/0.50  # Current number of archived formulas  : 0
% 0.20/0.50  # Current number of archived clauses   : 26
% 0.20/0.50  # Clause-clause subsumption calls (NU) : 115
% 0.20/0.50  # Rec. Clause-clause subsumption calls : 77
% 0.20/0.50  # Non-unit clause-clause subsumptions  : 10
% 0.20/0.50  # Unit Clause-clause subsumption calls : 35
% 0.20/0.50  # Rewrite failures with RHS unbound    : 0
% 0.20/0.50  # BW rewrite match attempts            : 4
% 0.20/0.50  # BW rewrite match successes           : 4
% 0.20/0.50  # Condensation attempts                : 0
% 0.20/0.50  # Condensation successes               : 0
% 0.20/0.50  # Termbank termtop insertions          : 1237
% 0.20/0.50  
% 0.20/0.50  # -------------------------------------------------
% 0.20/0.50  # User time                : 0.004 s
% 0.20/0.50  # System time              : 0.003 s
% 0.20/0.50  # Total time               : 0.007 s
% 0.20/0.50  # Maximum resident set size: 1620 pages
% 0.20/0.50  
% 0.20/0.50  # -------------------------------------------------
% 0.20/0.50  # User time                : 0.006 s
% 0.20/0.50  # System time              : 0.004 s
% 0.20/0.50  # Total time               : 0.010 s
% 0.20/0.50  # Maximum resident set size: 1684 pages
% 0.20/0.50  % E---3.1 exiting
% 0.20/0.50  % E---3.1 exiting
%------------------------------------------------------------------------------