TSTP Solution File: MGT036-3 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : MGT036-3 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n032.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 02:43:32 EDT 2024

% Result   : Unsatisfiable 0.82s 1.10s
% Output   : CNFRefutation 0.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   17 (   7 unt;   0 nHn;  17 RR)
%            Number of literals    :   37 (   0 equ;  25 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   :   22 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    ( ~ subpopulations(X0,X1,X2,X3)
    | ~ environment(X2)
    | subpopulations(X1,X0,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_symmetry_of_subpopulations_1) ).

cnf(c_50,plain,
    ( ~ subpopulations(X0,X1,X2,X3)
    | ~ greater_or_equal(growth_rate(X1,X3),zero)
    | ~ greater(zero,growth_rate(X0,X3))
    | ~ environment(X2)
    | outcompetes(X1,X0,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_2) ).

cnf(c_53,plain,
    environment(sk1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a13_star_5) ).

cnf(c_54,plain,
    subpopulations(first_movers,efficient_producers,sk1,sk2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a13_star_6) ).

cnf(c_55,plain,
    greater_or_equal(growth_rate(first_movers,sk2),zero),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a13_star_7) ).

cnf(c_56,plain,
    greater(zero,growth_rate(efficient_producers,sk2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a13_star_8) ).

cnf(c_57,negated_conjecture,
    ( ~ subpopulations(first_movers,efficient_producers,X0,X1)
    | ~ outcompetes(first_movers,efficient_producers,X1)
    | ~ environment(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t5_star_9) ).

cnf(c_202,plain,
    ( ~ subpopulations(first_movers,efficient_producers,sk1,X0)
    | ~ outcompetes(first_movers,efficient_producers,X0) ),
    inference(resolution,[status(thm)],[c_57,c_53]) ).

cnf(c_232,plain,
    ( ~ subpopulations(X0,X1,sk1,X2)
    | ~ greater_or_equal(growth_rate(X1,X2),zero)
    | ~ greater(zero,growth_rate(X0,X2))
    | outcompetes(X1,X0,X2) ),
    inference(resolution,[status(thm)],[c_50,c_53]) ).

cnf(c_246,plain,
    ( ~ subpopulations(X0,X1,sk1,X2)
    | subpopulations(X1,X0,sk1,X2) ),
    inference(resolution,[status(thm)],[c_49,c_53]) ).

cnf(c_339,plain,
    ( ~ subpopulations(first_movers,efficient_producers,sk1,X0)
    | ~ subpopulations(efficient_producers,first_movers,sk1,X0)
    | ~ greater_or_equal(growth_rate(first_movers,X0),zero)
    | ~ greater(zero,growth_rate(efficient_producers,X0)) ),
    inference(resolution,[status(thm)],[c_202,c_232]) ).

cnf(c_349,plain,
    ( ~ subpopulations(efficient_producers,first_movers,sk1,X0)
    | ~ greater_or_equal(growth_rate(first_movers,X0),zero)
    | ~ greater(zero,growth_rate(efficient_producers,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_339,c_246]) ).

cnf(c_357,plain,
    ( ~ subpopulations(efficient_producers,first_movers,sk1,sk2)
    | ~ greater(zero,growth_rate(efficient_producers,sk2)) ),
    inference(resolution,[status(thm)],[c_55,c_349]) ).

cnf(c_373,plain,
    ( ~ subpopulations(X0_13,X1_13,sk1,X0_15)
    | subpopulations(X1_13,X0_13,sk1,X0_15) ),
    inference(subtyping,[status(esa)],[c_246]) ).

cnf(c_374,plain,
    subpopulations(first_movers,efficient_producers,sk1,sk2),
    inference(subtyping,[status(esa)],[c_54]) ).

cnf(c_375,plain,
    subpopulations(efficient_producers,first_movers,sk1,sk2),
    inference(resolution,[status(thm)],[c_373,c_374]) ).

cnf(c_376,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_375,c_357,c_56]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem  : MGT036-3 : TPTP v8.1.2. Released v2.4.0.
% 0.09/0.10  % Command  : run_iprover %s %d THM
% 0.10/0.31  % Computer : n032.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Thu May  2 23:01:08 EDT 2024
% 0.10/0.31  % CPUTime  : 
% 0.15/0.41  Running first-order theorem proving
% 0.15/0.41  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.82/1.10  % SZS status Started for theBenchmark.p
% 0.82/1.10  % SZS status Unsatisfiable for theBenchmark.p
% 0.82/1.10  
% 0.82/1.10  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.82/1.10  
% 0.82/1.10  ------  iProver source info
% 0.82/1.10  
% 0.82/1.10  git: date: 2024-05-02 19:28:25 +0000
% 0.82/1.10  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.82/1.10  git: non_committed_changes: false
% 0.82/1.10  
% 0.82/1.10  ------ Parsing...successful
% 0.82/1.10  
% 0.82/1.10  
% 0.82/1.10  
% 0.82/1.10  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 0.82/1.10  
% 0.82/1.10  ------ Preprocessing...------  preprocesses with Option_epr_horn
% 0.82/1.10   gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.82/1.10  ------ Proving...
% 0.82/1.10  ------ Problem Properties 
% 0.82/1.10  
% 0.82/1.10  
% 0.82/1.10  clauses                                 3
% 0.82/1.10  conjectures                             0
% 0.82/1.10  EPR                                     3
% 0.82/1.10  Horn                                    3
% 0.82/1.10  unary                                   2
% 0.82/1.10  binary                                  1
% 0.82/1.10  lits                                    4
% 0.82/1.10  lits eq                                 0
% 0.82/1.10  fd_pure                                 0
% 0.82/1.10  fd_pseudo                               0
% 0.82/1.10  fd_cond                                 0
% 0.82/1.10  fd_pseudo_cond                          0
% 0.82/1.10  AC symbols                              0
% 0.82/1.10  
% 0.82/1.10  ------ Schedule EPR Horn non eq is on
% 0.82/1.10  
% 0.82/1.10  ------ no conjectures: strip conj schedule 
% 0.82/1.10  
% 0.82/1.10  ------ no equalities: superposition off 
% 0.82/1.10  
% 0.82/1.10  ------ Option_epr_horn stripped conjectures Time Limit: Unbounded
% 0.82/1.10  
% 0.82/1.10  
% 0.82/1.10  ------ 
% 0.82/1.10  Current options:
% 0.82/1.10  ------ 
% 0.82/1.10  
% 0.82/1.10  
% 0.82/1.10  
% 0.82/1.10  
% 0.82/1.10  ------ Proving...
% 0.82/1.10  
% 0.82/1.10  
% 0.82/1.10  % SZS status Unsatisfiable for theBenchmark.p
% 0.82/1.10  
% 0.82/1.10  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.82/1.10  
% 0.82/1.10  
%------------------------------------------------------------------------------