TSTP Solution File: MGT028+1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : MGT028+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n018.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 : Tue Apr 30 20:28:41 EDT 2024

% Result   : Theorem 0.13s 0.34s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : MGT028+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33  % Computer : n018.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Mon Apr 29 23:51:43 EDT 2024
% 0.13/0.33  % CPUTime  : 
% 0.13/0.34  % Drodi V3.6.0
% 0.13/0.34  % Refutation found
% 0.13/0.34  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.34  % SZS output start CNFRefutation for theBenchmark
% 0.13/0.34  fof(f1,axiom,(
% 0.13/0.34    (! [E] :( ( environment(E)& stable(E)& (? [T1] :( in_environment(E,T1)& (! [T] :( ( subpopulations(first_movers,efficient_producers,E,T)& greater_or_equal(T,T1) )=> greater(zero,growth_rate(first_movers,T)) ) )) ))=> (? [T2] :( greater(T2,appear(efficient_producers,E))& (! [T] :( ( subpopulations(first_movers,efficient_producers,E,T)& greater_or_equal(T,T2) )=> greater(zero,growth_rate(first_movers,T)) ) )) )) )),
% 0.13/0.34    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.34  fof(f2,hypothesis,(
% 0.13/0.34    (! [E] :( ( environment(E)& stable(E) )=> (? [To] :( in_environment(E,To)& (! [T] :( ( subpopulations(first_movers,efficient_producers,E,T)& greater_or_equal(T,To) )=> ( greater(growth_rate(efficient_producers,T),zero)& greater(zero,growth_rate(first_movers,T)) ) ) )) )) )),
% 0.13/0.34    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.34  fof(f3,conjecture,(
% 0.13/0.34    (! [E] :( ( environment(E)& stable(E) )=> (? [To] :( greater(To,appear(efficient_producers,E))& (! [T] :( ( subpopulations(first_movers,efficient_producers,E,T)& greater_or_equal(T,To) )=> greater(zero,growth_rate(first_movers,T)) ) )) )) )),
% 0.13/0.34    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.34  fof(f4,negated_conjecture,(
% 0.13/0.34    ~((! [E] :( ( environment(E)& stable(E) )=> (? [To] :( greater(To,appear(efficient_producers,E))& (! [T] :( ( subpopulations(first_movers,efficient_producers,E,T)& greater_or_equal(T,To) )=> greater(zero,growth_rate(first_movers,T)) ) )) )) ))),
% 0.13/0.34    inference(negated_conjecture,[status(cth)],[f3])).
% 0.13/0.34  fof(f5,plain,(
% 0.13/0.34    ![E]: (((~environment(E)|~stable(E))|(![T1]: (~in_environment(E,T1)|(?[T]: ((subpopulations(first_movers,efficient_producers,E,T)&greater_or_equal(T,T1))&~greater(zero,growth_rate(first_movers,T)))))))|(?[T2]: (greater(T2,appear(efficient_producers,E))&(![T]: ((~subpopulations(first_movers,efficient_producers,E,T)|~greater_or_equal(T,T2))|greater(zero,growth_rate(first_movers,T)))))))),
% 0.13/0.34    inference(pre_NNF_transformation,[status(esa)],[f1])).
% 0.13/0.34  fof(f6,plain,(
% 0.13/0.34    ![E,T1,T]: (pd0_0(T,T1,E)=>((subpopulations(first_movers,efficient_producers,E,T)&greater_or_equal(T,T1))&~greater(zero,growth_rate(first_movers,T))))),
% 0.13/0.34    introduced(predicate_definition,[f5])).
% 0.13/0.34  fof(f7,plain,(
% 0.13/0.34    ![E]: (((~environment(E)|~stable(E))|(![T1]: (~in_environment(E,T1)|(?[T]: pd0_0(T,T1,E)))))|(?[T2]: (greater(T2,appear(efficient_producers,E))&(![T]: ((~subpopulations(first_movers,efficient_producers,E,T)|~greater_or_equal(T,T2))|greater(zero,growth_rate(first_movers,T)))))))),
% 0.13/0.34    inference(formula_renaming,[status(thm)],[f5,f6])).
% 0.13/0.34  fof(f8,plain,(
% 0.13/0.34    ![E]: (((~environment(E)|~stable(E))|(![T1]: (~in_environment(E,T1)|pd0_0(sk0_0(T1,E),T1,E))))|(greater(sk0_1(E),appear(efficient_producers,E))&(![T]: ((~subpopulations(first_movers,efficient_producers,E,T)|~greater_or_equal(T,sk0_1(E)))|greater(zero,growth_rate(first_movers,T))))))),
% 0.13/0.34    inference(skolemization,[status(esa)],[f7])).
% 0.13/0.34  fof(f9,plain,(
% 0.13/0.34    ![X0,X1]: (~environment(X0)|~stable(X0)|~in_environment(X0,X1)|pd0_0(sk0_0(X1,X0),X1,X0)|greater(sk0_1(X0),appear(efficient_producers,X0)))),
% 0.13/0.34    inference(cnf_transformation,[status(esa)],[f8])).
% 0.13/0.34  fof(f10,plain,(
% 0.13/0.34    ![X0,X1,X2]: (~environment(X0)|~stable(X0)|~in_environment(X0,X1)|pd0_0(sk0_0(X1,X0),X1,X0)|~subpopulations(first_movers,efficient_producers,X0,X2)|~greater_or_equal(X2,sk0_1(X0))|greater(zero,growth_rate(first_movers,X2)))),
% 0.13/0.34    inference(cnf_transformation,[status(esa)],[f8])).
% 0.13/0.34  fof(f11,plain,(
% 0.13/0.34    ![E]: ((~environment(E)|~stable(E))|(?[To]: (in_environment(E,To)&(![T]: ((~subpopulations(first_movers,efficient_producers,E,T)|~greater_or_equal(T,To))|(greater(growth_rate(efficient_producers,T),zero)&greater(zero,growth_rate(first_movers,T))))))))),
% 0.13/0.34    inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.13/0.34  fof(f12,plain,(
% 0.13/0.34    ![E]: ((~environment(E)|~stable(E))|(in_environment(E,sk0_2(E))&(![T]: ((~subpopulations(first_movers,efficient_producers,E,T)|~greater_or_equal(T,sk0_2(E)))|(greater(growth_rate(efficient_producers,T),zero)&greater(zero,growth_rate(first_movers,T)))))))),
% 0.13/0.34    inference(skolemization,[status(esa)],[f11])).
% 0.13/0.34  fof(f13,plain,(
% 0.13/0.34    ![X0]: (~environment(X0)|~stable(X0)|in_environment(X0,sk0_2(X0)))),
% 0.13/0.34    inference(cnf_transformation,[status(esa)],[f12])).
% 0.13/0.34  fof(f15,plain,(
% 0.13/0.34    ![X0,X1]: (~environment(X0)|~stable(X0)|~subpopulations(first_movers,efficient_producers,X0,X1)|~greater_or_equal(X1,sk0_2(X0))|greater(zero,growth_rate(first_movers,X1)))),
% 0.13/0.34    inference(cnf_transformation,[status(esa)],[f12])).
% 0.13/0.34  fof(f16,plain,(
% 0.13/0.34    (?[E]: ((environment(E)&stable(E))&(![To]: (~greater(To,appear(efficient_producers,E))|(?[T]: ((subpopulations(first_movers,efficient_producers,E,T)&greater_or_equal(T,To))&~greater(zero,growth_rate(first_movers,T))))))))),
% 0.13/0.34    inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.13/0.34  fof(f17,plain,(
% 0.13/0.34    ((environment(sk0_3)&stable(sk0_3))&(![To]: (~greater(To,appear(efficient_producers,sk0_3))|((subpopulations(first_movers,efficient_producers,sk0_3,sk0_4(To))&greater_or_equal(sk0_4(To),To))&~greater(zero,growth_rate(first_movers,sk0_4(To)))))))),
% 0.13/0.34    inference(skolemization,[status(esa)],[f16])).
% 0.13/0.34  fof(f18,plain,(
% 0.13/0.34    environment(sk0_3)),
% 0.13/0.34    inference(cnf_transformation,[status(esa)],[f17])).
% 0.13/0.34  fof(f19,plain,(
% 0.13/0.34    stable(sk0_3)),
% 0.13/0.34    inference(cnf_transformation,[status(esa)],[f17])).
% 0.13/0.34  fof(f20,plain,(
% 0.13/0.34    ![X0]: (~greater(X0,appear(efficient_producers,sk0_3))|subpopulations(first_movers,efficient_producers,sk0_3,sk0_4(X0)))),
% 0.13/0.34    inference(cnf_transformation,[status(esa)],[f17])).
% 0.13/0.34  fof(f21,plain,(
% 0.13/0.34    ![X0]: (~greater(X0,appear(efficient_producers,sk0_3))|greater_or_equal(sk0_4(X0),X0))),
% 0.13/0.34    inference(cnf_transformation,[status(esa)],[f17])).
% 0.13/0.34  fof(f22,plain,(
% 0.13/0.34    ![X0]: (~greater(X0,appear(efficient_producers,sk0_3))|~greater(zero,growth_rate(first_movers,sk0_4(X0))))),
% 0.13/0.34    inference(cnf_transformation,[status(esa)],[f17])).
% 0.13/0.34  fof(f23,plain,(
% 0.13/0.34    ![E,T1,T]: (~pd0_0(T,T1,E)|((subpopulations(first_movers,efficient_producers,E,T)&greater_or_equal(T,T1))&~greater(zero,growth_rate(first_movers,T))))),
% 0.13/0.34    inference(pre_NNF_transformation,[status(esa)],[f6])).
% 0.13/0.34  fof(f24,plain,(
% 0.13/0.34    ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|subpopulations(first_movers,efficient_producers,X2,X0))),
% 0.13/0.34    inference(cnf_transformation,[status(esa)],[f23])).
% 0.13/0.34  fof(f25,plain,(
% 0.13/0.34    ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|greater_or_equal(X0,X1))),
% 0.13/0.34    inference(cnf_transformation,[status(esa)],[f23])).
% 0.13/0.34  fof(f26,plain,(
% 0.13/0.34    ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|~greater(zero,growth_rate(first_movers,X0)))),
% 0.13/0.34    inference(cnf_transformation,[status(esa)],[f23])).
% 0.13/0.34  fof(f27,plain,(
% 0.13/0.34    spl0_0 <=> environment(sk0_3)),
% 0.13/0.34    introduced(split_symbol_definition)).
% 0.13/0.34  fof(f29,plain,(
% 0.13/0.34    ~environment(sk0_3)|spl0_0),
% 0.13/0.34    inference(component_clause,[status(thm)],[f27])).
% 0.13/0.34  fof(f30,plain,(
% 0.13/0.34    spl0_1 <=> in_environment(sk0_3,sk0_2(sk0_3))),
% 0.13/0.34    introduced(split_symbol_definition)).
% 0.13/0.34  fof(f31,plain,(
% 0.13/0.34    in_environment(sk0_3,sk0_2(sk0_3))|~spl0_1),
% 0.13/0.34    inference(component_clause,[status(thm)],[f30])).
% 0.13/0.34  fof(f33,plain,(
% 0.13/0.34    ~environment(sk0_3)|in_environment(sk0_3,sk0_2(sk0_3))),
% 0.13/0.34    inference(resolution,[status(thm)],[f13,f19])).
% 0.13/0.34  fof(f34,plain,(
% 0.13/0.34    ~spl0_0|spl0_1),
% 0.13/0.34    inference(split_clause,[status(thm)],[f33,f27,f30])).
% 0.13/0.34  fof(f35,plain,(
% 0.13/0.34    $false|spl0_0),
% 0.13/0.34    inference(forward_subsumption_resolution,[status(thm)],[f29,f18])).
% 0.13/0.34  fof(f36,plain,(
% 0.13/0.34    spl0_0),
% 0.13/0.34    inference(contradiction_clause,[status(thm)],[f35])).
% 0.13/0.34  fof(f37,plain,(
% 0.13/0.34    spl0_2 <=> stable(sk0_3)),
% 0.13/0.34    introduced(split_symbol_definition)).
% 0.13/0.34  fof(f39,plain,(
% 0.13/0.34    ~stable(sk0_3)|spl0_2),
% 0.13/0.34    inference(component_clause,[status(thm)],[f37])).
% 0.13/0.34  fof(f40,plain,(
% 0.13/0.34    spl0_3 <=> ~in_environment(sk0_3,X0)|pd0_0(sk0_0(X0,sk0_3),X0,sk0_3)),
% 0.13/0.34    introduced(split_symbol_definition)).
% 0.13/0.34  fof(f41,plain,(
% 0.13/0.34    ![X0]: (~in_environment(sk0_3,X0)|pd0_0(sk0_0(X0,sk0_3),X0,sk0_3)|~spl0_3)),
% 0.13/0.34    inference(component_clause,[status(thm)],[f40])).
% 0.13/0.34  fof(f43,plain,(
% 0.13/0.34    spl0_4 <=> greater_or_equal(sk0_4(sk0_1(sk0_3)),sk0_1(sk0_3))),
% 0.13/0.34    introduced(split_symbol_definition)).
% 0.13/0.34  fof(f44,plain,(
% 0.13/0.34    greater_or_equal(sk0_4(sk0_1(sk0_3)),sk0_1(sk0_3))|~spl0_4),
% 0.13/0.34    inference(component_clause,[status(thm)],[f43])).
% 0.13/0.34  fof(f46,plain,(
% 0.13/0.34    ![X0]: (~environment(sk0_3)|~stable(sk0_3)|~in_environment(sk0_3,X0)|pd0_0(sk0_0(X0,sk0_3),X0,sk0_3)|greater_or_equal(sk0_4(sk0_1(sk0_3)),sk0_1(sk0_3)))),
% 0.13/0.34    inference(resolution,[status(thm)],[f9,f21])).
% 0.13/0.34  fof(f47,plain,(
% 0.13/0.34    ~spl0_0|~spl0_2|spl0_3|spl0_4),
% 0.13/0.34    inference(split_clause,[status(thm)],[f46,f27,f37,f40,f43])).
% 0.13/0.34  fof(f48,plain,(
% 0.13/0.34    $false|spl0_2),
% 0.13/0.34    inference(forward_subsumption_resolution,[status(thm)],[f39,f19])).
% 0.13/0.34  fof(f49,plain,(
% 0.13/0.34    spl0_2),
% 0.13/0.34    inference(contradiction_clause,[status(thm)],[f48])).
% 0.13/0.34  fof(f50,plain,(
% 0.13/0.34    pd0_0(sk0_0(sk0_2(sk0_3),sk0_3),sk0_2(sk0_3),sk0_3)|~spl0_3|~spl0_1),
% 0.13/0.34    inference(resolution,[status(thm)],[f41,f31])).
% 0.13/0.34  fof(f52,plain,(
% 0.13/0.34    ![X0,X1,X2,X3]: (~environment(X0)|~stable(X0)|~subpopulations(first_movers,efficient_producers,X0,X1)|~greater_or_equal(X1,sk0_2(X0))|~pd0_0(X1,X2,X3))),
% 0.13/0.34    inference(resolution,[status(thm)],[f15,f26])).
% 0.13/0.34  fof(f59,plain,(
% 0.13/0.34    spl0_6 <=> ~subpopulations(first_movers,efficient_producers,sk0_3,X0)|~greater_or_equal(X0,sk0_2(sk0_3))|~pd0_0(X0,X1,X2)),
% 0.13/0.34    introduced(split_symbol_definition)).
% 0.13/0.34  fof(f60,plain,(
% 0.13/0.34    ![X0,X1,X2]: (~subpopulations(first_movers,efficient_producers,sk0_3,X0)|~greater_or_equal(X0,sk0_2(sk0_3))|~pd0_0(X0,X1,X2)|~spl0_6)),
% 0.13/0.34    inference(component_clause,[status(thm)],[f59])).
% 0.13/0.34  fof(f62,plain,(
% 0.13/0.34    ![X0,X1,X2]: (~environment(sk0_3)|~subpopulations(first_movers,efficient_producers,sk0_3,X0)|~greater_or_equal(X0,sk0_2(sk0_3))|~pd0_0(X0,X1,X2))),
% 0.13/0.34    inference(resolution,[status(thm)],[f52,f19])).
% 0.13/0.34  fof(f63,plain,(
% 0.13/0.34    ~spl0_0|spl0_6),
% 0.13/0.34    inference(split_clause,[status(thm)],[f62,f27,f59])).
% 0.13/0.34  fof(f65,plain,(
% 0.13/0.34    ![X0,X1,X2,X3]: (~greater_or_equal(X0,sk0_2(sk0_3))|~pd0_0(X0,X1,X2)|~pd0_0(X0,X3,sk0_3)|~spl0_6)),
% 0.13/0.34    inference(resolution,[status(thm)],[f60,f24])).
% 0.13/0.34  fof(f66,plain,(
% 0.13/0.34    ![X0,X1,X2,X3,X4]: (~pd0_0(X0,X1,X2)|~pd0_0(X0,X3,sk0_3)|~pd0_0(X0,sk0_2(sk0_3),X4)|~spl0_6)),
% 0.13/0.34    inference(resolution,[status(thm)],[f65,f25])).
% 0.13/0.34  fof(f67,plain,(
% 0.13/0.34    spl0_7 <=> ~pd0_0(sk0_0(sk0_2(sk0_3),sk0_3),X0,X1)),
% 0.13/0.34    introduced(split_symbol_definition)).
% 0.13/0.34  fof(f68,plain,(
% 0.13/0.34    ![X0,X1]: (~pd0_0(sk0_0(sk0_2(sk0_3),sk0_3),X0,X1)|~spl0_7)),
% 0.13/0.34    inference(component_clause,[status(thm)],[f67])).
% 0.13/0.34  fof(f70,plain,(
% 0.13/0.34    spl0_8 <=> ~pd0_0(sk0_0(sk0_2(sk0_3),sk0_3),X2,sk0_3)),
% 0.13/0.34    introduced(split_symbol_definition)).
% 0.13/0.34  fof(f71,plain,(
% 0.13/0.34    ![X0]: (~pd0_0(sk0_0(sk0_2(sk0_3),sk0_3),X0,sk0_3)|~spl0_8)),
% 0.13/0.34    inference(component_clause,[status(thm)],[f70])).
% 0.13/0.34  fof(f73,plain,(
% 0.13/0.34    ![X0,X1,X2]: (~pd0_0(sk0_0(sk0_2(sk0_3),sk0_3),X0,X1)|~pd0_0(sk0_0(sk0_2(sk0_3),sk0_3),X2,sk0_3)|~spl0_6|~spl0_3|~spl0_1)),
% 0.13/0.34    inference(resolution,[status(thm)],[f66,f50])).
% 0.13/0.34  fof(f74,plain,(
% 0.13/0.34    spl0_7|spl0_8|~spl0_6|~spl0_3|~spl0_1),
% 0.13/0.34    inference(split_clause,[status(thm)],[f73,f67,f70,f59,f40,f30])).
% 0.13/0.34  fof(f75,plain,(
% 0.13/0.34    $false|~spl0_7|~spl0_3|~spl0_1),
% 0.13/0.34    inference(backward_subsumption_resolution,[status(thm)],[f50,f68])).
% 0.13/0.34  fof(f76,plain,(
% 0.13/0.34    ~spl0_7|~spl0_3|~spl0_1),
% 0.13/0.34    inference(contradiction_clause,[status(thm)],[f75])).
% 0.13/0.34  fof(f86,plain,(
% 0.13/0.34    ![X0,X1,X2]: (~environment(X0)|~stable(X0)|~in_environment(X0,X1)|pd0_0(sk0_0(X1,X0),X1,X0)|~subpopulations(first_movers,efficient_producers,X0,sk0_4(X2))|~greater_or_equal(sk0_4(X2),sk0_1(X0))|~greater(X2,appear(efficient_producers,sk0_3)))),
% 0.13/0.34    inference(resolution,[status(thm)],[f10,f22])).
% 0.13/0.34  fof(f88,plain,(
% 0.13/0.34    spl0_11 <=> subpopulations(first_movers,efficient_producers,sk0_3,sk0_4(sk0_1(sk0_3)))),
% 0.13/0.34    introduced(split_symbol_definition)).
% 0.13/0.34  fof(f90,plain,(
% 0.13/0.34    ~subpopulations(first_movers,efficient_producers,sk0_3,sk0_4(sk0_1(sk0_3)))|spl0_11),
% 0.13/0.34    inference(component_clause,[status(thm)],[f88])).
% 0.13/0.34  fof(f91,plain,(
% 0.13/0.34    spl0_12 <=> greater(sk0_1(sk0_3),appear(efficient_producers,sk0_3))),
% 0.13/0.34    introduced(split_symbol_definition)).
% 0.13/0.34  fof(f93,plain,(
% 0.13/0.34    ~greater(sk0_1(sk0_3),appear(efficient_producers,sk0_3))|spl0_12),
% 0.13/0.34    inference(component_clause,[status(thm)],[f91])).
% 0.13/0.34  fof(f94,plain,(
% 0.13/0.34    ![X0]: (~environment(sk0_3)|~stable(sk0_3)|~in_environment(sk0_3,X0)|pd0_0(sk0_0(X0,sk0_3),X0,sk0_3)|~subpopulations(first_movers,efficient_producers,sk0_3,sk0_4(sk0_1(sk0_3)))|~greater(sk0_1(sk0_3),appear(efficient_producers,sk0_3))|~spl0_4)),
% 0.13/0.34    inference(resolution,[status(thm)],[f86,f44])).
% 0.13/0.34  fof(f95,plain,(
% 0.13/0.34    ~spl0_0|~spl0_2|spl0_3|~spl0_11|~spl0_12|~spl0_4),
% 0.13/0.34    inference(split_clause,[status(thm)],[f94,f27,f37,f40,f88,f91,f43])).
% 0.13/0.34  fof(f102,plain,(
% 0.13/0.34    ~greater(sk0_1(sk0_3),appear(efficient_producers,sk0_3))|spl0_11),
% 0.13/0.34    inference(resolution,[status(thm)],[f90,f20])).
% 0.13/0.34  fof(f103,plain,(
% 0.13/0.34    ![X0]: (~environment(sk0_3)|~stable(sk0_3)|~in_environment(sk0_3,X0)|pd0_0(sk0_0(X0,sk0_3),X0,sk0_3)|spl0_11)),
% 0.13/0.34    inference(resolution,[status(thm)],[f102,f9])).
% 0.13/0.34  fof(f104,plain,(
% 0.13/0.34    ~spl0_0|~spl0_2|spl0_3|spl0_11),
% 0.13/0.34    inference(split_clause,[status(thm)],[f103,f27,f37,f40,f88])).
% 0.13/0.34  fof(f105,plain,(
% 0.13/0.34    ![X0]: (~environment(sk0_3)|~stable(sk0_3)|~in_environment(sk0_3,X0)|pd0_0(sk0_0(X0,sk0_3),X0,sk0_3)|spl0_12)),
% 0.13/0.34    inference(resolution,[status(thm)],[f93,f9])).
% 0.13/0.34  fof(f106,plain,(
% 0.13/0.34    ~spl0_0|~spl0_2|spl0_3|spl0_12),
% 0.13/0.34    inference(split_clause,[status(thm)],[f105,f27,f37,f40,f91])).
% 0.13/0.34  fof(f110,plain,(
% 0.13/0.34    $false|~spl0_8|~spl0_3|~spl0_1),
% 0.13/0.34    inference(backward_subsumption_resolution,[status(thm)],[f50,f71])).
% 0.13/0.34  fof(f111,plain,(
% 0.13/0.34    ~spl0_8|~spl0_3|~spl0_1),
% 0.13/0.34    inference(contradiction_clause,[status(thm)],[f110])).
% 0.13/0.34  fof(f112,plain,(
% 0.13/0.34    $false),
% 0.13/0.34    inference(sat_refutation,[status(thm)],[f34,f36,f47,f49,f63,f74,f76,f95,f104,f106,f111])).
% 0.13/0.34  % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.35  % Elapsed time: 0.018598 seconds
% 0.13/0.35  % CPU time: 0.044637 seconds
% 0.13/0.35  % Total memory used: 2.617 MB
% 0.13/0.35  % Net memory used: 2.608 MB
%------------------------------------------------------------------------------