TSTP Solution File: MGT042-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : MGT042-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n015.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 02:43:45 EDT 2024

% Result   : Unsatisfiable 4.16s 1.11s
% Output   : CNFRefutation 4.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :   23
% Syntax   : Number of clauses     :  104 (  13 unt;  49 nHn; 102 RR)
%            Number of literals    :  271 (  78 equ; 107 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   3 con; 0-2 aty)
%            Number of variables   :   78 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,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_38) ).

cnf(c_50,plain,
    ( ~ greater(position(X0,X1),position(X0,X2))
    | ~ greater_or_equal(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) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_4_39) ).

cnf(c_52,plain,
    ( ~ greater(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
    | ~ smaller_or_equal(internal_friction(X0,X1),internal_friction(X0,X2))
    | ~ organization(X0)
    | greater(capability(X0,X1),capability(X0,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_5_41) ).

cnf(c_53,plain,
    ( ~ greater(internal_friction(X0,X1),internal_friction(X0,X2))
    | ~ smaller_or_equal(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
    | ~ organization(X0)
    | smaller(capability(X0,X1),capability(X0,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_5_42) ).

cnf(c_54,plain,
    ( stock_of_knowledge(X0,X1) != stock_of_knowledge(X0,X2)
    | internal_friction(X0,X1) != internal_friction(X0,X2)
    | ~ organization(X0)
    | capability(X0,X1) = capability(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_5_43) ).

cnf(c_55,plain,
    ( ~ greater(external_ties(X0,X1),external_ties(X0,X2))
    | ~ organization(X0)
    | greater(position(X0,X1),position(X0,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_6_44) ).

cnf(c_56,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_45) ).

cnf(c_57,negated_conjecture,
    organization(sk1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1_46) ).

cnf(c_58,negated_conjecture,
    ~ has_immunity(sk1,sk2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1_47) ).

cnf(c_59,negated_conjecture,
    ~ has_immunity(sk1,sk3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1_48) ).

cnf(c_60,negated_conjecture,
    ( greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
    | greater_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1_49) ).

cnf(c_62,negated_conjecture,
    ( greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
    | greater(external_ties(sk1,sk3),external_ties(sk1,sk2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1_51) ).

cnf(c_65,negated_conjecture,
    smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1_54) ).

cnf(c_68,negated_conjecture,
    ( greater(external_ties(sk1,sk3),external_ties(sk1,sk2))
    | greater_or_equal(external_ties(sk1,sk3),external_ties(sk1,sk2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1_57) ).

cnf(c_75,negated_conjecture,
    ~ smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1_64) ).

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_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_79,plain,
    ( ~ greater_or_equal(X0,X1)
    | X0 = X1
    | greater(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',definition_greater_or_equal_4) ).

cnf(c_80,plain,
    ( ~ greater(X0,X1)
    | greater_or_equal(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',definition_greater_or_equal_5) ).

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_83,plain,
    ( ~ greater(X0,X1)
    | smaller(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',definition_smaller_8) ).

cnf(c_84,plain,
    ( ~ greater(X0,X1)
    | ~ greater(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',meaning_postulate_greater_strict_9) ).

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_148,plain,
    greater_or_equal(external_ties(sk1,sk3),external_ties(sk1,sk2)),
    inference(backward_subsumption_resolution,[status(thm)],[c_68,c_80]) ).

cnf(c_149,plain,
    greater_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)),
    inference(backward_subsumption_resolution,[status(thm)],[c_60,c_80]) ).

cnf(c_414,plain,
    ( external_ties(X0,X1) != external_ties(X0,X2)
    | X0 != sk1
    | position(X0,X1) = position(X0,X2) ),
    inference(resolution_lifted,[status(thm)],[c_56,c_57]) ).

cnf(c_415,plain,
    ( external_ties(sk1,X0) != external_ties(sk1,X1)
    | position(sk1,X0) = position(sk1,X1) ),
    inference(unflattening,[status(thm)],[c_414]) ).

cnf(c_423,plain,
    ( X0 != sk1
    | ~ greater(external_ties(X0,X1),external_ties(X0,X2))
    | greater(position(X0,X1),position(X0,X2)) ),
    inference(resolution_lifted,[status(thm)],[c_55,c_57]) ).

cnf(c_424,plain,
    ( ~ greater(external_ties(sk1,X0),external_ties(sk1,X1))
    | greater(position(sk1,X0),position(sk1,X1)) ),
    inference(unflattening,[status(thm)],[c_423]) ).

cnf(c_432,plain,
    ( stock_of_knowledge(X0,X1) != stock_of_knowledge(X0,X2)
    | internal_friction(X0,X1) != internal_friction(X0,X2)
    | X0 != sk1
    | capability(X0,X1) = capability(X0,X2) ),
    inference(resolution_lifted,[status(thm)],[c_54,c_57]) ).

cnf(c_433,plain,
    ( stock_of_knowledge(sk1,X0) != stock_of_knowledge(sk1,X1)
    | internal_friction(sk1,X0) != internal_friction(sk1,X1)
    | capability(sk1,X0) = capability(sk1,X1) ),
    inference(unflattening,[status(thm)],[c_432]) ).

cnf(c_444,plain,
    ( X0 != sk1
    | ~ greater(internal_friction(X0,X1),internal_friction(X0,X2))
    | ~ smaller_or_equal(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
    | smaller(capability(X0,X1),capability(X0,X2)) ),
    inference(resolution_lifted,[status(thm)],[c_53,c_57]) ).

cnf(c_445,plain,
    ( ~ greater(internal_friction(sk1,X0),internal_friction(sk1,X1))
    | ~ smaller_or_equal(stock_of_knowledge(sk1,X0),stock_of_knowledge(sk1,X1))
    | smaller(capability(sk1,X0),capability(sk1,X1)) ),
    inference(unflattening,[status(thm)],[c_444]) ).

cnf(c_456,plain,
    ( X0 != sk1
    | ~ greater(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
    | ~ smaller_or_equal(internal_friction(X0,X1),internal_friction(X0,X2))
    | greater(capability(X0,X1),capability(X0,X2)) ),
    inference(resolution_lifted,[status(thm)],[c_52,c_57]) ).

cnf(c_457,plain,
    ( ~ greater(stock_of_knowledge(sk1,X0),stock_of_knowledge(sk1,X1))
    | ~ smaller_or_equal(internal_friction(sk1,X0),internal_friction(sk1,X1))
    | greater(capability(sk1,X0),capability(sk1,X1)) ),
    inference(unflattening,[status(thm)],[c_456]) ).

cnf(c_486,plain,
    ( X0 != sk1
    | ~ greater(position(X0,X1),position(X0,X2))
    | ~ greater_or_equal(capability(X0,X1),capability(X0,X2))
    | smaller(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2))
    | has_immunity(X0,X1)
    | has_immunity(X0,X2) ),
    inference(resolution_lifted,[status(thm)],[c_50,c_57]) ).

cnf(c_487,plain,
    ( ~ greater(position(sk1,X0),position(sk1,X1))
    | ~ greater_or_equal(capability(sk1,X0),capability(sk1,X1))
    | smaller(hazard_of_mortality(sk1,X0),hazard_of_mortality(sk1,X1))
    | has_immunity(sk1,X0)
    | has_immunity(sk1,X1) ),
    inference(unflattening,[status(thm)],[c_486]) ).

cnf(c_504,plain,
    ( X0 != sk1
    | ~ greater(capability(X0,X1),capability(X0,X2))
    | ~ greater_or_equal(position(X0,X1),position(X0,X2))
    | smaller(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2))
    | has_immunity(X0,X1)
    | has_immunity(X0,X2) ),
    inference(resolution_lifted,[status(thm)],[c_49,c_57]) ).

cnf(c_505,plain,
    ( ~ greater(capability(sk1,X0),capability(sk1,X1))
    | ~ greater_or_equal(position(sk1,X0),position(sk1,X1))
    | smaller(hazard_of_mortality(sk1,X0),hazard_of_mortality(sk1,X1))
    | has_immunity(sk1,X0)
    | has_immunity(sk1,X1) ),
    inference(unflattening,[status(thm)],[c_504]) ).

cnf(c_2256,plain,
    ( ~ smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
    | greater(capability(sk1,sk3),capability(sk1,sk2))
    | greater(external_ties(sk1,sk3),external_ties(sk1,sk2)) ),
    inference(superposition,[status(thm)],[c_62,c_457]) ).

cnf(c_2257,plain,
    ( greater(capability(sk1,sk3),capability(sk1,sk2))
    | greater(external_ties(sk1,sk3),external_ties(sk1,sk2)) ),
    inference(global_subsumption_just,[status(thm)],[c_2256,c_65,c_2256]) ).

cnf(c_2264,plain,
    ( ~ greater_or_equal(position(sk1,sk3),position(sk1,sk2))
    | greater(external_ties(sk1,sk3),external_ties(sk1,sk2))
    | smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
    | has_immunity(sk1,sk2)
    | has_immunity(sk1,sk3) ),
    inference(superposition,[status(thm)],[c_2257,c_505]) ).

cnf(c_2265,plain,
    ( greater(external_ties(sk1,sk3),external_ties(sk1,sk2))
    | ~ greater_or_equal(position(sk1,sk3),position(sk1,sk2)) ),
    inference(global_subsumption_just,[status(thm)],[c_2264,c_59,c_58,c_75,c_2264]) ).

cnf(c_2266,plain,
    ( ~ greater_or_equal(position(sk1,sk3),position(sk1,sk2))
    | greater(external_ties(sk1,sk3),external_ties(sk1,sk2)) ),
    inference(renaming,[status(thm)],[c_2265]) ).

cnf(c_2271,plain,
    ( internal_friction(sk1,sk2) = internal_friction(sk1,sk3)
    | smaller(internal_friction(sk1,sk3),internal_friction(sk1,sk2)) ),
    inference(superposition,[status(thm)],[c_65,c_76]) ).

cnf(c_2279,plain,
    ( stock_of_knowledge(sk1,sk2) = stock_of_knowledge(sk1,sk3)
    | greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
    inference(superposition,[status(thm)],[c_149,c_79]) ).

cnf(c_2280,plain,
    ( external_ties(sk1,sk2) = external_ties(sk1,sk3)
    | greater(external_ties(sk1,sk3),external_ties(sk1,sk2)) ),
    inference(superposition,[status(thm)],[c_148,c_79]) ).

cnf(c_2289,plain,
    ( ~ smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
    | stock_of_knowledge(sk1,sk2) = stock_of_knowledge(sk1,sk3)
    | greater(capability(sk1,sk3),capability(sk1,sk2)) ),
    inference(superposition,[status(thm)],[c_2279,c_457]) ).

cnf(c_2290,plain,
    ( stock_of_knowledge(sk1,sk2) = stock_of_knowledge(sk1,sk3)
    | greater(capability(sk1,sk3),capability(sk1,sk2)) ),
    inference(global_subsumption_just,[status(thm)],[c_2289,c_65,c_2289]) ).

cnf(c_2296,plain,
    ( external_ties(sk1,sk2) = external_ties(sk1,sk3)
    | greater(position(sk1,sk3),position(sk1,sk2)) ),
    inference(superposition,[status(thm)],[c_2280,c_424]) ).

cnf(c_2308,plain,
    ( ~ greater_or_equal(capability(sk1,sk3),capability(sk1,sk2))
    | external_ties(sk1,sk2) = external_ties(sk1,sk3)
    | smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
    | has_immunity(sk1,sk2)
    | has_immunity(sk1,sk3) ),
    inference(superposition,[status(thm)],[c_2296,c_487]) ).

cnf(c_2309,plain,
    ( external_ties(sk1,sk2) = external_ties(sk1,sk3)
    | ~ greater_or_equal(capability(sk1,sk3),capability(sk1,sk2)) ),
    inference(global_subsumption_just,[status(thm)],[c_2308,c_59,c_58,c_75,c_2308]) ).

cnf(c_2310,plain,
    ( ~ greater_or_equal(capability(sk1,sk3),capability(sk1,sk2))
    | external_ties(sk1,sk2) = external_ties(sk1,sk3) ),
    inference(renaming,[status(thm)],[c_2309]) ).

cnf(c_2318,plain,
    ( stock_of_knowledge(sk1,sk2) = stock_of_knowledge(sk1,sk3)
    | greater_or_equal(capability(sk1,sk3),capability(sk1,sk2)) ),
    inference(superposition,[status(thm)],[c_2290,c_80]) ).

cnf(c_2343,plain,
    ( internal_friction(sk1,sk2) = internal_friction(sk1,sk3)
    | greater(internal_friction(sk1,sk2),internal_friction(sk1,sk3)) ),
    inference(superposition,[status(thm)],[c_2271,c_82]) ).

cnf(c_2349,plain,
    ( greater(external_ties(sk1,sk3),external_ties(sk1,sk2))
    | smaller(stock_of_knowledge(sk1,sk2),stock_of_knowledge(sk1,sk3)) ),
    inference(superposition,[status(thm)],[c_62,c_83]) ).

cnf(c_2352,plain,
    ( greater(external_ties(sk1,sk3),external_ties(sk1,sk2))
    | smaller(capability(sk1,sk2),capability(sk1,sk3)) ),
    inference(superposition,[status(thm)],[c_2257,c_83]) ).

cnf(c_2378,plain,
    ( ~ greater(external_ties(sk1,sk3),external_ties(sk1,sk2))
    | greater(position(sk1,sk3),position(sk1,sk2)) ),
    inference(instantiation,[status(thm)],[c_424]) ).

cnf(c_2392,plain,
    ( ~ greater(capability(sk1,sk2),capability(sk1,sk3))
    | greater(external_ties(sk1,sk3),external_ties(sk1,sk2)) ),
    inference(superposition,[status(thm)],[c_2257,c_84]) ).

cnf(c_2432,plain,
    ( ~ greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
    | ~ smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
    | greater(capability(sk1,sk3),capability(sk1,sk2)) ),
    inference(instantiation,[status(thm)],[c_457]) ).

cnf(c_2481,plain,
    ( ~ smaller(stock_of_knowledge(sk1,sk2),stock_of_knowledge(sk1,sk3))
    | greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
    inference(instantiation,[status(thm)],[c_82]) ).

cnf(c_2489,plain,
    ( greater(position(sk1,sk3),position(sk1,sk2))
    | smaller(stock_of_knowledge(sk1,sk2),stock_of_knowledge(sk1,sk3)) ),
    inference(superposition,[status(thm)],[c_2349,c_424]) ).

cnf(c_2512,plain,
    ( ~ greater(capability(sk1,sk3),capability(sk1,sk2))
    | greater_or_equal(capability(sk1,sk3),capability(sk1,sk2)) ),
    inference(instantiation,[status(thm)],[c_80]) ).

cnf(c_2523,plain,
    ( ~ smaller_or_equal(stock_of_knowledge(sk1,sk2),stock_of_knowledge(sk1,sk3))
    | internal_friction(sk1,sk2) = internal_friction(sk1,sk3)
    | smaller(capability(sk1,sk2),capability(sk1,sk3)) ),
    inference(superposition,[status(thm)],[c_2343,c_445]) ).

cnf(c_2560,plain,
    ( smaller(capability(sk1,sk2),capability(sk1,sk3))
    | smaller(external_ties(sk1,sk2),external_ties(sk1,sk3)) ),
    inference(superposition,[status(thm)],[c_2352,c_83]) ).

cnf(c_2595,plain,
    ( ~ greater(position(sk1,sk2),position(sk1,sk3))
    | smaller(stock_of_knowledge(sk1,sk2),stock_of_knowledge(sk1,sk3)) ),
    inference(superposition,[status(thm)],[c_2489,c_84]) ).

cnf(c_2598,plain,
    ( ~ greater_or_equal(capability(sk1,sk3),capability(sk1,sk2))
    | smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
    | smaller(stock_of_knowledge(sk1,sk2),stock_of_knowledge(sk1,sk3))
    | has_immunity(sk1,sk2)
    | has_immunity(sk1,sk3) ),
    inference(superposition,[status(thm)],[c_2489,c_487]) ).

cnf(c_2609,plain,
    ( ~ greater_or_equal(capability(sk1,sk3),capability(sk1,sk2))
    | smaller(stock_of_knowledge(sk1,sk2),stock_of_knowledge(sk1,sk3)) ),
    inference(global_subsumption_just,[status(thm)],[c_2598,c_59,c_58,c_75,c_2598]) ).

cnf(c_2698,plain,
    ( stock_of_knowledge(sk1,sk2) = stock_of_knowledge(sk1,sk3)
    | external_ties(sk1,sk2) = external_ties(sk1,sk3) ),
    inference(superposition,[status(thm)],[c_2318,c_2310]) ).

cnf(c_2739,plain,
    ( ~ smaller_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk3))
    | internal_friction(sk1,sk2) = internal_friction(sk1,sk3)
    | external_ties(sk1,sk2) = external_ties(sk1,sk3)
    | smaller(capability(sk1,sk2),capability(sk1,sk3)) ),
    inference(superposition,[status(thm)],[c_2698,c_2523]) ).

cnf(c_2748,plain,
    ( stock_of_knowledge(sk1,X0) != stock_of_knowledge(sk1,sk3)
    | internal_friction(sk1,X0) != internal_friction(sk1,sk2)
    | capability(sk1,X0) = capability(sk1,sk2)
    | external_ties(sk1,sk2) = external_ties(sk1,sk3) ),
    inference(superposition,[status(thm)],[c_2698,c_433]) ).

cnf(c_2821,plain,
    ( ~ smaller(capability(sk1,sk2),capability(sk1,sk3))
    | greater(capability(sk1,sk3),capability(sk1,sk2)) ),
    inference(instantiation,[status(thm)],[c_82]) ).

cnf(c_2980,plain,
    ( greater(capability(sk1,sk3),capability(sk1,sk2))
    | smaller(external_ties(sk1,sk2),external_ties(sk1,sk3)) ),
    inference(superposition,[status(thm)],[c_2560,c_82]) ).

cnf(c_3144,plain,
    ( ~ greater_or_equal(position(sk1,sk3),position(sk1,sk2))
    | smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
    | smaller(external_ties(sk1,sk2),external_ties(sk1,sk3))
    | has_immunity(sk1,sk2)
    | has_immunity(sk1,sk3) ),
    inference(superposition,[status(thm)],[c_2980,c_505]) ).

cnf(c_3153,plain,
    ( ~ greater_or_equal(position(sk1,sk3),position(sk1,sk2))
    | smaller(external_ties(sk1,sk2),external_ties(sk1,sk3)) ),
    inference(global_subsumption_just,[status(thm)],[c_3144,c_59,c_58,c_75,c_3144]) ).

cnf(c_3350,plain,
    ( internal_friction(sk1,sk2) = internal_friction(sk1,sk3)
    | external_ties(sk1,sk2) = external_ties(sk1,sk3)
    | smaller(capability(sk1,sk2),capability(sk1,sk3)) ),
    inference(superposition,[status(thm)],[c_88,c_2739]) ).

cnf(c_3351,plain,
    ( external_ties(sk1,sk2) = external_ties(sk1,sk3)
    | internal_friction(sk1,sk2) = internal_friction(sk1,sk3) ),
    inference(global_subsumption_just,[status(thm)],[c_3350,c_2310,c_2512,c_2821,c_3350]) ).

cnf(c_3352,plain,
    ( internal_friction(sk1,sk2) = internal_friction(sk1,sk3)
    | external_ties(sk1,sk2) = external_ties(sk1,sk3) ),
    inference(renaming,[status(thm)],[c_3351]) ).

cnf(c_3370,plain,
    ( external_ties(sk1,X0) != external_ties(sk1,sk3)
    | position(sk1,X0) = position(sk1,sk2)
    | internal_friction(sk1,sk2) = internal_friction(sk1,sk3) ),
    inference(superposition,[status(thm)],[c_3352,c_415]) ).

cnf(c_3477,plain,
    ( ~ greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
    | greater(capability(sk1,sk3),capability(sk1,sk2)) ),
    inference(resolution,[status(thm)],[c_457,c_65]) ).

cnf(c_3815,plain,
    ( ~ greater(position(sk1,sk3),position(sk1,sk2))
    | ~ greater_or_equal(capability(sk1,sk3),capability(sk1,sk2))
    | has_immunity(sk1,sk2)
    | has_immunity(sk1,sk3) ),
    inference(resolution,[status(thm)],[c_75,c_487]) ).

cnf(c_3816,plain,
    ( ~ greater(position(sk1,sk3),position(sk1,sk2))
    | ~ greater_or_equal(capability(sk1,sk3),capability(sk1,sk2)) ),
    inference(global_subsumption_just,[status(thm)],[c_3815,c_59,c_58,c_3815]) ).

cnf(c_3826,plain,
    ( ~ greater(capability(sk1,sk3),capability(sk1,sk2))
    | ~ greater(position(sk1,sk3),position(sk1,sk2)) ),
    inference(resolution,[status(thm)],[c_3816,c_80]) ).

cnf(c_4059,plain,
    ( position(sk1,sk2) = position(sk1,sk3)
    | internal_friction(sk1,sk2) = internal_friction(sk1,sk3) ),
    inference(equality_resolution,[status(thm)],[c_3370]) ).

cnf(c_4064,plain,
    ( stock_of_knowledge(sk1,X0) != stock_of_knowledge(sk1,sk3)
    | internal_friction(sk1,X0) != internal_friction(sk1,sk3)
    | capability(sk1,X0) = capability(sk1,sk2)
    | position(sk1,sk2) = position(sk1,sk3)
    | external_ties(sk1,sk2) = external_ties(sk1,sk3) ),
    inference(superposition,[status(thm)],[c_4059,c_2748]) ).

cnf(c_4098,plain,
    ( stock_of_knowledge(sk1,X0) != stock_of_knowledge(sk1,sk3)
    | internal_friction(sk1,X0) != internal_friction(sk1,sk3)
    | capability(sk1,X0) = capability(sk1,sk2)
    | position(sk1,sk2) = position(sk1,sk3) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4064,c_415]) ).

cnf(c_4183,plain,
    ( internal_friction(sk1,sk3) != internal_friction(sk1,sk3)
    | capability(sk1,sk2) = capability(sk1,sk3)
    | position(sk1,sk2) = position(sk1,sk3) ),
    inference(equality_resolution,[status(thm)],[c_4098]) ).

cnf(c_4184,plain,
    ( capability(sk1,sk2) = capability(sk1,sk3)
    | position(sk1,sk2) = position(sk1,sk3) ),
    inference(equality_resolution_simp,[status(thm)],[c_4183]) ).

cnf(c_4371,plain,
    ( ~ greater_or_equal(capability(sk1,sk3),capability(sk1,sk3))
    | position(sk1,sk2) = position(sk1,sk3)
    | smaller(stock_of_knowledge(sk1,sk2),stock_of_knowledge(sk1,sk3)) ),
    inference(superposition,[status(thm)],[c_4184,c_2609]) ).

cnf(c_4372,plain,
    ( ~ greater(capability(sk1,sk3),capability(sk1,sk3))
    | position(sk1,sk2) = position(sk1,sk3)
    | greater(external_ties(sk1,sk3),external_ties(sk1,sk2)) ),
    inference(superposition,[status(thm)],[c_4184,c_2392]) ).

cnf(c_4376,plain,
    ( position(sk1,sk2) = position(sk1,sk3)
    | greater(capability(sk1,sk3),capability(sk1,sk3))
    | greater(external_ties(sk1,sk3),external_ties(sk1,sk2)) ),
    inference(superposition,[status(thm)],[c_4184,c_2257]) ).

cnf(c_4410,plain,
    ( position(sk1,sk2) = position(sk1,sk3)
    | greater(external_ties(sk1,sk3),external_ties(sk1,sk2)) ),
    inference(global_subsumption_just,[status(thm)],[c_4372,c_4376,c_4372]) ).

cnf(c_4414,plain,
    ( position(sk1,sk2) = position(sk1,sk3)
    | ~ greater_or_equal(capability(sk1,sk3),capability(sk1,sk3)) ),
    inference(global_subsumption_just,[status(thm)],[c_4371,c_2378,c_2481,c_3477,c_3826,c_4410,c_4371]) ).

cnf(c_4415,plain,
    ( ~ greater_or_equal(capability(sk1,sk3),capability(sk1,sk3))
    | position(sk1,sk2) = position(sk1,sk3) ),
    inference(renaming,[status(thm)],[c_4414]) ).

cnf(c_4727,plain,
    position(sk1,sk2) = position(sk1,sk3),
    inference(superposition,[status(thm)],[c_87,c_4415]) ).

cnf(c_4736,plain,
    ( ~ greater_or_equal(position(sk1,sk3),position(sk1,sk3))
    | smaller(external_ties(sk1,sk2),external_ties(sk1,sk3)) ),
    inference(superposition,[status(thm)],[c_4727,c_3153]) ).

cnf(c_4741,plain,
    ( ~ greater(position(sk1,sk3),position(sk1,sk3))
    | smaller(stock_of_knowledge(sk1,sk2),stock_of_knowledge(sk1,sk3)) ),
    inference(superposition,[status(thm)],[c_4727,c_2595]) ).

cnf(c_4746,plain,
    ( greater(position(sk1,sk3),position(sk1,sk3))
    | smaller(stock_of_knowledge(sk1,sk2),stock_of_knowledge(sk1,sk3)) ),
    inference(superposition,[status(thm)],[c_4727,c_2489]) ).

cnf(c_4749,plain,
    ( ~ greater_or_equal(position(sk1,sk3),position(sk1,sk3))
    | greater(external_ties(sk1,sk3),external_ties(sk1,sk2)) ),
    inference(superposition,[status(thm)],[c_4727,c_2266]) ).

cnf(c_4766,plain,
    smaller(stock_of_knowledge(sk1,sk2),stock_of_knowledge(sk1,sk3)),
    inference(global_subsumption_just,[status(thm)],[c_4741,c_4746,c_4741]) ).

cnf(c_4772,plain,
    ~ greater_or_equal(position(sk1,sk3),position(sk1,sk3)),
    inference(global_subsumption_just,[status(thm)],[c_4736,c_65,c_2378,c_2432,c_2481,c_3826,c_4749,c_4766]) ).

cnf(c_4889,plain,
    $false,
    inference(superposition,[status(thm)],[c_87,c_4772]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem  : MGT042-1 : TPTP v8.1.2. Released v2.4.0.
% 0.02/0.11  % Command  : run_iprover %s %d THM
% 0.10/0.31  % Computer : n015.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 23:15:51 EDT 2024
% 0.10/0.31  % CPUTime  : 
% 0.16/0.41  Running first-order theorem proving
% 0.16/0.41  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
% 4.16/1.11  % SZS status Started for theBenchmark.p
% 4.16/1.11  % SZS status Unsatisfiable for theBenchmark.p
% 4.16/1.11  
% 4.16/1.11  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.16/1.11  
% 4.16/1.11  ------  iProver source info
% 4.16/1.11  
% 4.16/1.11  git: date: 2024-05-02 19:28:25 +0000
% 4.16/1.11  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.16/1.11  git: non_committed_changes: false
% 4.16/1.11  
% 4.16/1.11  ------ Parsing...successful
% 4.16/1.11  
% 4.16/1.11  
% 4.16/1.11  
% 4.16/1.11  ------ 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 
% 4.16/1.11  
% 4.16/1.11  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.16/1.11  
% 4.16/1.11  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 4.16/1.11  ------ Proving...
% 4.16/1.11  ------ Problem Properties 
% 4.16/1.11  
% 4.16/1.11  
% 4.16/1.11  clauses                                 26
% 4.16/1.11  conjectures                             5
% 4.16/1.11  EPR                                     13
% 4.16/1.11  Horn                                    19
% 4.16/1.11  unary                                   8
% 4.16/1.11  binary                                  8
% 4.16/1.11  lits                                    60
% 4.16/1.11  lits eq                                 11
% 4.16/1.11  fd_pure                                 0
% 4.16/1.11  fd_pseudo                               0
% 4.16/1.11  fd_cond                                 0
% 4.16/1.11  fd_pseudo_cond                          3
% 4.16/1.11  AC symbols                              0
% 4.16/1.11  
% 4.16/1.11  ------ Input Options Time Limit: Unbounded
% 4.16/1.11  
% 4.16/1.11  
% 4.16/1.11  ------ 
% 4.16/1.11  Current options:
% 4.16/1.11  ------ 
% 4.16/1.11  
% 4.16/1.11  
% 4.16/1.11  
% 4.16/1.11  
% 4.16/1.11  ------ Proving...
% 4.16/1.11  
% 4.16/1.11  
% 4.16/1.11  % SZS status Unsatisfiable for theBenchmark.p
% 4.16/1.11  
% 4.16/1.11  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.16/1.11  
% 4.16/1.12  
%------------------------------------------------------------------------------