TSTP Solution File: MGT032-2 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : MGT032-2 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n021.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 : Fri May  3 02:43:27 EDT 2024

% Result   : Unsatisfiable 0.86s 1.22s
% Output   : CNFRefutation 0.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   14 (   3 unt;   0 nHn;  14 RR)
%            Number of literals    :   40 (   0 equ;  30 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-4 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   14 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    ( ~ greater(growth_rate(X0,X1),growth_rate(X2,X1))
    | ~ subpopulations(X2,X0,X3,X1)
    | ~ environment(X3)
    | selection_favors(X0,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp1_high_growth_rates_1) ).

cnf(c_50,plain,
    ( ~ environment(X0)
    | ~ stable(X0)
    | in_environment(X0,sk1(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1_2) ).

cnf(c_51,plain,
    ( ~ subpopulations(first_movers,efficient_producers,X0,X1)
    | ~ greater_or_equal(X1,sk1(X0))
    | ~ environment(X0)
    | ~ stable(X0)
    | greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1_3) ).

cnf(c_52,negated_conjecture,
    environment(sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t1_4) ).

cnf(c_53,negated_conjecture,
    stable(sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t1_5) ).

cnf(c_54,negated_conjecture,
    ( ~ in_environment(sk2,X0)
    | subpopulations(first_movers,efficient_producers,sk2,sk3(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t1_6) ).

cnf(c_55,negated_conjecture,
    ( ~ in_environment(sk2,X0)
    | greater_or_equal(sk3(X0),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t1_7) ).

cnf(c_56,negated_conjecture,
    ( ~ selection_favors(efficient_producers,first_movers,sk3(X0))
    | ~ in_environment(sk2,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t1_8) ).

cnf(c_60,plain,
    ( ~ environment(sk2)
    | ~ stable(sk2)
    | in_environment(sk2,sk1(sk2)) ),
    inference(instantiation,[status(thm)],[c_50]) ).

cnf(c_103,plain,
    ( ~ greater(growth_rate(efficient_producers,sk3(X0)),growth_rate(first_movers,sk3(X0)))
    | ~ subpopulations(first_movers,efficient_producers,X1,sk3(X0))
    | ~ in_environment(sk2,X0)
    | ~ environment(X1) ),
    inference(resolution,[status(thm)],[c_49,c_56]) ).

cnf(c_121,plain,
    ( ~ subpopulations(first_movers,efficient_producers,X0,sk3(sk1(X0)))
    | ~ in_environment(sk2,sk1(X0))
    | ~ environment(X0)
    | ~ stable(X0)
    | greater(growth_rate(efficient_producers,sk3(sk1(X0))),growth_rate(first_movers,sk3(sk1(X0)))) ),
    inference(resolution,[status(thm)],[c_51,c_55]) ).

cnf(c_133,plain,
    ( ~ subpopulations(first_movers,efficient_producers,X0,sk3(sk1(X0)))
    | ~ in_environment(sk2,sk1(X0))
    | ~ environment(X0)
    | ~ stable(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_121,c_103]) ).

cnf(c_143,plain,
    ( ~ in_environment(sk2,sk1(sk2))
    | ~ environment(sk2)
    | ~ stable(sk2) ),
    inference(resolution,[status(thm)],[c_54,c_133]) ).

cnf(c_144,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_143,c_60,c_52,c_53]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : MGT032-2 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n021.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 : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu May  2 22:58:13 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.86/1.22  % SZS status Started for theBenchmark.p
% 0.86/1.22  % SZS status Unsatisfiable for theBenchmark.p
% 0.86/1.22  
% 0.86/1.22  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.86/1.22  
% 0.86/1.22  ------  iProver source info
% 0.86/1.22  
% 0.86/1.22  git: date: 2024-05-02 19:28:25 +0000
% 0.86/1.22  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.86/1.22  git: non_committed_changes: false
% 0.86/1.22  
% 0.86/1.22  ------ Parsing...successful
% 0.86/1.22  
% 0.86/1.22  
% 0.86/1.22  
% 0.86/1.22  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe:1:0s pe:2:0s
% 0.86/1.22  
% 0.86/1.22  % SZS status Unsatisfiable for theBenchmark.p
% 0.86/1.22  
% 0.86/1.22  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.86/1.22  
% 0.86/1.22  
%------------------------------------------------------------------------------