TSTP Solution File: MGT036-2 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : MGT036-2 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n006.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 : Thu Aug 31 09:14:27 EDT 2023

% Result   : Unsatisfiable 1.55s 1.16s
% Output   : CNFRefutation 1.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   27 (   5 unt;   0 nHn;  23 RR)
%            Number of literals    :   75 (   0 equ;  51 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   :   49 (  11 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(first_movers,efficient_producers,X0,X1)
    | ~ environment(X0)
    | in_environment(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_time_point_occur_2) ).

cnf(c_51,plain,
    ( ~ greater(zero,growth_rate(X0,X1))
    | environment(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_growth_rate_relationships_3) ).

cnf(c_52,plain,
    ( ~ greater(zero,growth_rate(X0,X1))
    | subpopulations(X0,X2,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_growth_rate_relationships_4) ).

cnf(c_53,plain,
    ( ~ greater(zero,growth_rate(X0,X1))
    | ~ greater_or_equal(growth_rate(X0,X1),zero) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_growth_rate_relationships_5) ).

cnf(c_56,plain,
    ( ~ subpopulations(X0,X1,X2,X3)
    | ~ outcompetes(X1,X0,X3)
    | ~ environment(X2)
    | greater_or_equal(growth_rate(X1,X3),zero) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_8) ).

cnf(c_57,plain,
    ( ~ subpopulations(X0,X1,X2,X3)
    | ~ outcompetes(X1,X0,X3)
    | ~ environment(X2)
    | greater(zero,growth_rate(X0,X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_9) ).

cnf(c_58,plain,
    greater(resilience(efficient_producers),resilience(first_movers)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_10) ).

cnf(c_59,plain,
    ( ~ greater(resilience(X0),resilience(X1))
    | ~ greater(zero,growth_rate(X0,X2))
    | ~ in_environment(X3,X2)
    | ~ environment(X3)
    | greater(zero,growth_rate(X1,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a13_11) ).

cnf(c_60,negated_conjecture,
    environment(sk1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t5_12) ).

cnf(c_61,negated_conjecture,
    subpopulations(first_movers,efficient_producers,sk1,sk2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t5_13) ).

cnf(c_62,negated_conjecture,
    outcompetes(first_movers,efficient_producers,sk2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t5_14) ).

cnf(c_83,plain,
    ( ~ greater(resilience(X0),resilience(X1))
    | ~ greater(zero,growth_rate(X0,X2))
    | ~ in_environment(X3,X2)
    | greater(zero,growth_rate(X1,X2)) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_59,c_51]) ).

cnf(c_145,plain,
    ( ~ subpopulations(first_movers,efficient_producers,X0,X1)
    | ~ greater(resilience(X2),resilience(X3))
    | ~ greater(zero,growth_rate(X2,X1))
    | ~ environment(X0)
    | greater(zero,growth_rate(X3,X1)) ),
    inference(resolution,[status(thm)],[c_50,c_83]) ).

cnf(c_156,plain,
    ( ~ subpopulations(first_movers,efficient_producers,X0,X1)
    | ~ greater(resilience(X2),resilience(X3))
    | ~ greater(zero,growth_rate(X2,X1))
    | greater(zero,growth_rate(X3,X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_145,c_51]) ).

cnf(c_165,plain,
    ( ~ subpopulations(efficient_producers,first_movers,X0,sk2)
    | ~ environment(X0)
    | greater(zero,growth_rate(efficient_producers,sk2)) ),
    inference(resolution,[status(thm)],[c_57,c_62]) ).

cnf(c_176,plain,
    ( ~ subpopulations(efficient_producers,first_movers,X0,sk2)
    | ~ environment(X0)
    | greater_or_equal(growth_rate(first_movers,sk2),zero) ),
    inference(resolution,[status(thm)],[c_56,c_62]) ).

cnf(c_196,plain,
    ( ~ subpopulations(efficient_producers,first_movers,X0,sk2)
    | ~ greater(zero,growth_rate(first_movers,sk2))
    | ~ environment(X0) ),
    inference(resolution,[status(thm)],[c_53,c_176]) ).

cnf(c_204,plain,
    ( ~ subpopulations(efficient_producers,first_movers,X0,sk2)
    | ~ greater(zero,growth_rate(first_movers,sk2)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_196,c_51]) ).

cnf(c_231,plain,
    ( ~ subpopulations(efficient_producers,first_movers,sk1,sk2)
    | greater(zero,growth_rate(efficient_producers,sk2)) ),
    inference(resolution,[status(thm)],[c_165,c_60]) ).

cnf(c_342,plain,
    ( ~ greater(resilience(X0),resilience(X1))
    | ~ greater(zero,growth_rate(X0,sk2))
    | ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
    | greater(zero,growth_rate(X1,sk2)) ),
    inference(instantiation,[status(thm)],[c_156]) ).

cnf(c_343,plain,
    ( ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
    | ~ environment(sk1)
    | subpopulations(efficient_producers,first_movers,sk1,sk2) ),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_346,plain,
    ( ~ greater(zero,growth_rate(efficient_producers,sk2))
    | subpopulations(efficient_producers,X0,X1,sk2) ),
    inference(instantiation,[status(thm)],[c_52]) ).

cnf(c_348,plain,
    ( ~ greater(resilience(efficient_producers),resilience(X0))
    | ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
    | ~ greater(zero,growth_rate(efficient_producers,sk2))
    | greater(zero,growth_rate(X0,sk2)) ),
    inference(instantiation,[status(thm)],[c_342]) ).

cnf(c_350,plain,
    ( ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
    | ~ greater(resilience(efficient_producers),resilience(first_movers))
    | ~ greater(zero,growth_rate(efficient_producers,sk2))
    | greater(zero,growth_rate(first_movers,sk2)) ),
    inference(instantiation,[status(thm)],[c_348]) ).

cnf(c_353,plain,
    ( ~ greater(zero,growth_rate(efficient_producers,sk2))
    | subpopulations(efficient_producers,first_movers,X0,sk2) ),
    inference(instantiation,[status(thm)],[c_346]) ).

cnf(c_354,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_353,c_350,c_343,c_231,c_204,c_58,c_61,c_60]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : MGT036-2 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n006.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Aug 28 06:10:51 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  Running first-order theorem proving
% 0.19/0.46  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 1.55/1.16  % SZS status Started for theBenchmark.p
% 1.55/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 1.55/1.16  
% 1.55/1.16  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.55/1.16  
% 1.55/1.16  ------  iProver source info
% 1.55/1.16  
% 1.55/1.16  git: date: 2023-05-31 18:12:56 +0000
% 1.55/1.16  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.55/1.16  git: non_committed_changes: false
% 1.55/1.16  git: last_make_outside_of_git: false
% 1.55/1.16  
% 1.55/1.16  ------ Parsing...successful
% 1.55/1.16  
% 1.55/1.16  
% 1.55/1.16  
% 1.55/1.16  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 1.55/1.16  
% 1.55/1.16  ------ Preprocessing... gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.55/1.16  ------ Proving...
% 1.55/1.16  ------ Problem Properties 
% 1.55/1.16  
% 1.55/1.16  
% 1.55/1.16  clauses                                 11
% 1.55/1.16  conjectures                             2
% 1.55/1.16  EPR                                     5
% 1.55/1.16  Horn                                    10
% 1.55/1.16  unary                                   3
% 1.55/1.16  binary                                  5
% 1.55/1.16  lits                                    23
% 1.55/1.16  lits eq                                 0
% 1.55/1.16  fd_pure                                 0
% 1.55/1.16  fd_pseudo                               0
% 1.55/1.16  fd_cond                                 0
% 1.55/1.16  fd_pseudo_cond                          0
% 1.55/1.16  AC symbols                              0
% 1.55/1.16  
% 1.55/1.16  ------ Schedule dynamic 5 is on 
% 1.55/1.16  
% 1.55/1.16  ------ no equalities: superposition off 
% 1.55/1.16  
% 1.55/1.16  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.55/1.16  
% 1.55/1.16  
% 1.55/1.16  ------ 
% 1.55/1.16  Current options:
% 1.55/1.16  ------ 
% 1.55/1.16  
% 1.55/1.16  
% 1.55/1.16  
% 1.55/1.16  
% 1.55/1.16  ------ Proving...
% 1.55/1.16  
% 1.55/1.16  
% 1.55/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 1.55/1.16  
% 1.55/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.55/1.16  
% 1.55/1.16  
%------------------------------------------------------------------------------