TSTP Solution File: MGT051-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : MGT051-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n003.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 09:14:48 EDT 2023

% Result   : Unsatisfiable 7.52s 1.64s
% Output   : CNFRefutation 7.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   24
% Syntax   : Number of clauses     :   65 (  10 unt;  20 nHn;  52 RR)
%            Number of literals    :  191 (  31 equ; 100 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   6 con; 0-2 aty)
%            Number of variables   :   93 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_50,plain,
    ( ~ smaller_or_equal(age(X0,X1),eta)
    | ~ has_endowment(X0)
    | has_immunity(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_1_42) ).

cnf(c_51,plain,
    ( ~ greater(age(X0,X1),eta)
    | ~ has_immunity(X0,X1)
    | ~ has_endowment(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_1_43) ).

cnf(c_56,plain,
    ( ~ has_immunity(X0,X1)
    | ~ has_immunity(X0,X2)
    | ~ organization(X0)
    | hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_2_48) ).

cnf(c_57,plain,
    ( ~ has_immunity(X0,X1)
    | ~ organization(X0)
    | greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
    | has_immunity(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_3_49) ).

cnf(c_58,plain,
    ( ~ greater(capability(X0,X1),capability(X0,X2))
    | ~ greater_or_equal(position(X0,X1),position(X0,X2))
    | ~ organization(X0)
    | smaller(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2))
    | has_immunity(X0,X1)
    | has_immunity(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_4_50) ).

cnf(c_62,plain,
    ( ~ smaller_or_equal(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
    | ~ greater(internal_friction(X0,X1),internal_friction(X0,X2))
    | ~ organization(X0)
    | smaller(capability(X0,X1),capability(X0,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_5_54) ).

cnf(c_65,plain,
    ( external_ties(X0,X1) != external_ties(X0,X2)
    | ~ organization(X0)
    | position(X0,X1) = position(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_6_57) ).

cnf(c_66,plain,
    ( ~ organization(X0)
    | stock_of_knowledge(X0,X1) = stock_of_knowledge(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_10_58) ).

cnf(c_67,plain,
    ( ~ organization(X0)
    | external_ties(X0,X1) = external_ties(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_11_59) ).

cnf(c_68,plain,
    ( ~ greater(age(X0,X1),age(X0,X2))
    | ~ organization(X0)
    | greater(internal_friction(X0,X1),internal_friction(X0,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_12_60) ).

cnf(c_69,negated_conjecture,
    organization(sk2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_4_61) ).

cnf(c_70,negated_conjecture,
    has_endowment(sk2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_4_62) ).

cnf(c_71,negated_conjecture,
    smaller_or_equal(age(sk2,sk3),age(sk2,sk4)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_4_63) ).

cnf(c_72,negated_conjecture,
    smaller_or_equal(age(sk2,sk4),eta),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_4_64) ).

cnf(c_73,negated_conjecture,
    greater(age(sk2,sk5),eta),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_4_65) ).

cnf(c_74,negated_conjecture,
    greater(age(sk2,sk6),age(sk2,sk5)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_4_66) ).

cnf(c_75,negated_conjecture,
    ( hazard_of_mortality(sk2,sk3) != hazard_of_mortality(sk2,sk4)
    | ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))
    | ~ greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_4_67) ).

cnf(c_76,plain,
    ( ~ smaller_or_equal(X0,X1)
    | X0 = X1
    | smaller(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',definition_smaller_or_equal_1) ).

cnf(c_77,plain,
    ( ~ smaller(X0,X1)
    | smaller_or_equal(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',definition_smaller_or_equal_2) ).

cnf(c_78,plain,
    ( X0 != X1
    | smaller_or_equal(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',definition_smaller_or_equal_3) ).

cnf(c_81,plain,
    ( X0 != X1
    | greater_or_equal(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',definition_greater_or_equal_6) ).

cnf(c_82,plain,
    ( ~ smaller(X0,X1)
    | greater(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',definition_smaller_7) ).

cnf(c_85,plain,
    ( ~ greater(X0,X1)
    | ~ greater(X1,X2)
    | greater(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',meaning_postulate_greater_transitive_10) ).

cnf(c_86,plain,
    ( X0 = X1
    | greater(X0,X1)
    | smaller(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',meaning_postulate_greater_comparable_11) ).

cnf(c_87,plain,
    greater_or_equal(X0,X0),
    inference(unflattening,[status(thm)],[c_81]) ).

cnf(c_88,plain,
    smaller_or_equal(X0,X0),
    inference(unflattening,[status(thm)],[c_78]) ).

cnf(c_113,plain,
    ( ~ organization(X0)
    | position(X0,X1) = position(X0,X2) ),
    inference(global_subsumption_just,[status(thm)],[c_65,c_67,c_65]) ).

cnf(c_359,plain,
    ( position(X0,X1) != X2
    | position(X0,X3) != X2
    | ~ greater(capability(X0,X1),capability(X0,X3))
    | ~ organization(X0)
    | smaller(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X3))
    | has_immunity(X0,X1)
    | has_immunity(X0,X3) ),
    inference(resolution_lifted,[status(thm)],[c_58,c_87]) ).

cnf(c_360,plain,
    ( position(X0,X1) != position(X0,X2)
    | ~ greater(capability(X0,X2),capability(X0,X1))
    | ~ organization(X0)
    | smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
    | has_immunity(X0,X1)
    | has_immunity(X0,X2) ),
    inference(unflattening,[status(thm)],[c_359]) ).

cnf(c_362,plain,
    ( ~ greater(capability(X0,X2),capability(X0,X1))
    | ~ organization(X0)
    | smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
    | has_immunity(X0,X1)
    | has_immunity(X0,X2) ),
    inference(global_subsumption_just,[status(thm)],[c_360,c_113,c_360]) ).

cnf(c_363,plain,
    ( ~ greater(capability(X0,X1),capability(X0,X2))
    | ~ organization(X0)
    | smaller(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2))
    | has_immunity(X0,X1)
    | has_immunity(X0,X2) ),
    inference(renaming,[status(thm)],[c_362]) ).

cnf(c_865,plain,
    ( age(X0,X1) != X2
    | X2 != eta
    | ~ has_endowment(X0)
    | has_immunity(X0,X1) ),
    inference(resolution_lifted,[status(thm)],[c_50,c_88]) ).

cnf(c_866,plain,
    ( age(X0,X1) != eta
    | ~ has_endowment(X0)
    | has_immunity(X0,X1) ),
    inference(unflattening,[status(thm)],[c_865]) ).

cnf(c_1109,plain,
    ( stock_of_knowledge(X0,X1) != X2
    | stock_of_knowledge(X0,X3) != X2
    | ~ greater(internal_friction(X0,X1),internal_friction(X0,X3))
    | ~ organization(X0)
    | smaller(capability(X0,X1),capability(X0,X3)) ),
    inference(resolution_lifted,[status(thm)],[c_62,c_88]) ).

cnf(c_1110,plain,
    ( stock_of_knowledge(X0,X1) != stock_of_knowledge(X0,X2)
    | ~ greater(internal_friction(X0,X2),internal_friction(X0,X1))
    | ~ organization(X0)
    | smaller(capability(X0,X2),capability(X0,X1)) ),
    inference(unflattening,[status(thm)],[c_1109]) ).

cnf(c_1112,plain,
    ( ~ greater(internal_friction(X0,X2),internal_friction(X0,X1))
    | ~ organization(X0)
    | smaller(capability(X0,X2),capability(X0,X1)) ),
    inference(global_subsumption_just,[status(thm)],[c_1110,c_66,c_1110]) ).

cnf(c_1113,plain,
    ( ~ greater(internal_friction(X0,X1),internal_friction(X0,X2))
    | ~ organization(X0)
    | smaller(capability(X0,X1),capability(X0,X2)) ),
    inference(renaming,[status(thm)],[c_1112]) ).

cnf(c_3857,plain,
    ( ~ smaller_or_equal(age(sk2,sk4),eta)
    | ~ has_endowment(sk2)
    | has_immunity(sk2,sk4) ),
    inference(instantiation,[status(thm)],[c_50]) ).

cnf(c_3860,plain,
    ( ~ greater(X0,age(sk2,sk5))
    | ~ greater(age(sk2,sk5),eta)
    | greater(X0,eta) ),
    inference(instantiation,[status(thm)],[c_85]) ).

cnf(c_3864,plain,
    ( ~ greater(age(sk2,sk6),age(sk2,sk5))
    | ~ organization(sk2)
    | greater(internal_friction(sk2,sk6),internal_friction(sk2,sk5)) ),
    inference(instantiation,[status(thm)],[c_68]) ).

cnf(c_3878,plain,
    ( ~ greater(age(sk2,sk6),age(sk2,sk5))
    | ~ greater(age(sk2,sk5),eta)
    | greater(age(sk2,sk6),eta) ),
    inference(instantiation,[status(thm)],[c_3860]) ).

cnf(c_3897,plain,
    ( ~ has_immunity(sk2,sk4)
    | ~ organization(sk2)
    | greater(hazard_of_mortality(sk2,X0),hazard_of_mortality(sk2,sk4))
    | has_immunity(sk2,X0) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_3898,plain,
    ( ~ greater(age(sk2,sk4),eta)
    | ~ has_immunity(sk2,sk4)
    | ~ has_endowment(sk2) ),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_3906,plain,
    ( ~ greater(internal_friction(sk2,sk6),internal_friction(sk2,sk5))
    | ~ organization(sk2)
    | smaller(capability(sk2,sk6),capability(sk2,sk5)) ),
    inference(instantiation,[status(thm)],[c_1113]) ).

cnf(c_3971,plain,
    ( ~ greater(age(sk2,sk5),eta)
    | ~ has_immunity(sk2,sk5)
    | ~ has_endowment(sk2) ),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_4027,plain,
    ( ~ greater(age(sk2,sk6),eta)
    | ~ has_immunity(sk2,sk6)
    | ~ has_endowment(sk2) ),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_4047,plain,
    ( ~ smaller(capability(sk2,sk6),capability(sk2,sk5))
    | greater(capability(sk2,sk5),capability(sk2,sk6)) ),
    inference(instantiation,[status(thm)],[c_82]) ).

cnf(c_4117,plain,
    ( age(sk2,sk3) = age(sk2,sk4)
    | smaller(age(sk2,sk3),age(sk2,sk4)) ),
    inference(superposition,[status(thm)],[c_71,c_76]) ).

cnf(c_4294,plain,
    ( age(sk2,sk3) = age(sk2,sk4)
    | greater(age(sk2,sk4),age(sk2,sk3)) ),
    inference(superposition,[status(thm)],[c_4117,c_82]) ).

cnf(c_4472,plain,
    ( X0 = X1
    | smaller_or_equal(X0,X1)
    | greater(X0,X1) ),
    inference(superposition,[status(thm)],[c_86,c_77]) ).

cnf(c_4490,plain,
    ( ~ has_immunity(sk2,sk4)
    | ~ organization(sk2)
    | greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))
    | has_immunity(sk2,sk5) ),
    inference(instantiation,[status(thm)],[c_3897]) ).

cnf(c_4522,plain,
    ( ~ greater(capability(sk2,sk5),capability(sk2,sk6))
    | ~ organization(sk2)
    | smaller(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk6))
    | has_immunity(sk2,sk5)
    | has_immunity(sk2,sk6) ),
    inference(instantiation,[status(thm)],[c_363]) ).

cnf(c_4708,negated_conjecture,
    ( hazard_of_mortality(sk2,sk3) != hazard_of_mortality(sk2,sk4)
    | ~ greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk5)) ),
    inference(global_subsumption_just,[status(thm)],[c_75,c_70,c_69,c_73,c_72,c_75,c_3857,c_3971,c_4490]) ).

cnf(c_5509,plain,
    ( ~ has_endowment(X0)
    | age(X0,X1) = eta
    | greater(age(X0,X1),eta)
    | has_immunity(X0,X1) ),
    inference(superposition,[status(thm)],[c_4472,c_50]) ).

cnf(c_5639,plain,
    ( X0 = X1
    | smaller_or_equal(X0,X1)
    | greater(X0,X1) ),
    inference(superposition,[status(thm)],[c_86,c_77]) ).

cnf(c_5682,plain,
    ( ~ greater(age(sk2,sk3),X0)
    | age(sk2,sk3) = age(sk2,sk4)
    | greater(age(sk2,sk4),X0) ),
    inference(superposition,[status(thm)],[c_4294,c_85]) ).

cnf(c_6597,plain,
    ( ~ smaller(hazard_of_mortality(sk2,X0),hazard_of_mortality(sk2,sk6))
    | greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,X0)) ),
    inference(instantiation,[status(thm)],[c_82]) ).

cnf(c_7806,plain,
    ( ~ has_endowment(X0)
    | age(X0,X1) = eta
    | greater(age(X0,X1),eta)
    | has_immunity(X0,X1) ),
    inference(superposition,[status(thm)],[c_5639,c_50]) ).

cnf(c_7836,plain,
    ( ~ has_endowment(X0)
    | greater(age(X0,X1),eta)
    | has_immunity(X0,X1) ),
    inference(global_subsumption_just,[status(thm)],[c_7806,c_866,c_5509]) ).

cnf(c_7851,plain,
    ( ~ has_endowment(sk2)
    | age(sk2,sk3) = age(sk2,sk4)
    | greater(age(sk2,sk4),eta)
    | has_immunity(sk2,sk3) ),
    inference(superposition,[status(thm)],[c_7836,c_5682]) ).

cnf(c_8398,plain,
    ( ~ smaller(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk6))
    | greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk5)) ),
    inference(instantiation,[status(thm)],[c_6597]) ).

cnf(c_10762,plain,
    ( ~ has_immunity(sk2,sk3)
    | ~ has_immunity(sk2,sk4)
    | ~ organization(sk2)
    | hazard_of_mortality(sk2,sk3) = hazard_of_mortality(sk2,sk4) ),
    inference(instantiation,[status(thm)],[c_56]) ).

cnf(c_17078,plain,
    age(sk2,sk3) = age(sk2,sk4),
    inference(global_subsumption_just,[status(thm)],[c_4294,c_70,c_69,c_73,c_72,c_74,c_3857,c_3864,c_3878,c_3898,c_3906,c_3971,c_4027,c_4047,c_4522,c_4708,c_7851,c_8398,c_10762]) ).

cnf(c_17129,plain,
    ( ~ smaller_or_equal(age(sk2,sk4),eta)
    | ~ has_endowment(sk2)
    | has_immunity(sk2,sk3) ),
    inference(superposition,[status(thm)],[c_17078,c_50]) ).

cnf(c_17130,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_17129,c_10762,c_8398,c_4708,c_4522,c_4047,c_4027,c_3971,c_3906,c_3878,c_3864,c_3857,c_74,c_72,c_73,c_69,c_70]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : MGT051-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n003.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 06:24:10 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  Running first-order theorem proving
% 0.19/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.52/1.64  % SZS status Started for theBenchmark.p
% 7.52/1.64  % SZS status Unsatisfiable for theBenchmark.p
% 7.52/1.64  
% 7.52/1.64  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.52/1.64  
% 7.52/1.64  ------  iProver source info
% 7.52/1.64  
% 7.52/1.64  git: date: 2023-05-31 18:12:56 +0000
% 7.52/1.64  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.52/1.64  git: non_committed_changes: false
% 7.52/1.64  git: last_make_outside_of_git: false
% 7.52/1.64  
% 7.52/1.64  ------ Parsing...successful
% 7.52/1.64  
% 7.52/1.64  
% 7.52/1.64  
% 7.52/1.64  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e 
% 7.52/1.64  
% 7.52/1.64  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.52/1.64  
% 7.52/1.64  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 7.52/1.64  ------ Proving...
% 7.52/1.64  ------ Problem Properties 
% 7.52/1.64  
% 7.52/1.64  
% 7.52/1.64  clauses                                 34
% 7.52/1.64  conjectures                             7
% 7.52/1.64  EPR                                     11
% 7.52/1.64  Horn                                    25
% 7.52/1.64  unary                                   7
% 7.52/1.64  binary                                  8
% 7.52/1.64  lits                                    93
% 7.52/1.64  lits eq                                 12
% 7.52/1.64  fd_pure                                 0
% 7.52/1.64  fd_pseudo                               0
% 7.52/1.64  fd_cond                                 0
% 7.52/1.64  fd_pseudo_cond                          2
% 7.52/1.64  AC symbols                              0
% 7.52/1.64  
% 7.52/1.64  ------ Input Options Time Limit: Unbounded
% 7.52/1.64  
% 7.52/1.64  
% 7.52/1.64  ------ 
% 7.52/1.64  Current options:
% 7.52/1.64  ------ 
% 7.52/1.64  
% 7.52/1.64  
% 7.52/1.64  
% 7.52/1.64  
% 7.52/1.64  ------ Proving...
% 7.52/1.64  
% 7.52/1.64  
% 7.52/1.64  % SZS status Unsatisfiable for theBenchmark.p
% 7.52/1.64  
% 7.52/1.64  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.52/1.64  
% 7.52/1.65  
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