%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : MGT056+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:25:51 PM UTC 2026
% Result : Theorem 0.16s 0.61s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT056+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.52 % Computer : n011.cluster.edu
% 0.11/0.52 % Model : x86_64 x86_64
% 0.11/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.52 % Memory : 8046.5625MB
% 0.11/0.52 % OS : Linux 6.8.0-71-generic
% 0.11/0.52 % CPULimit : 300
% 0.11/0.52 % WCLimit : 300
% 0.11/0.52 % DateTime : Mon Sep 21 01:24:11 UTC 2026
% 0.11/0.52 % CPUTime :
% 0.11/0.53 % Drodi V4.1.1
% 0.16/0.61 % Refutation found
% 0.16/0.61 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.61 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.61 fof(f1,axiom,(
% 0.16/0.61 (! [X,Y] :( smaller_or_equal(X,Y)<=> ( smaller(X,Y)| X = Y ) ) )),
% 0.16/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.61 fof(f2,axiom,(
% 0.16/0.61 (! [X,Y] :( greater_or_equal(X,Y)<=> ( greater(X,Y)| X = Y ) ) )),
% 0.16/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.61 fof(f3,axiom,(
% 0.16/0.61 (! [X,Y] :( smaller(X,Y)<=> greater(Y,X) ) )),
% 0.16/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.61 fof(f4,axiom,(
% 0.16/0.61 (! [X,Y] :~ ( greater(X,Y)& greater(Y,X) ) )),
% 0.16/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.61 fof(f5,axiom,(
% 0.16/0.61 (! [X,Y,Z] :( ( greater(X,Y)& greater(Y,Z) )=> greater(X,Z) ) )),
% 0.16/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.61 fof(f6,axiom,(
% 0.16/0.61 (! [X,Y] :( smaller(X,Y)| X = Y| greater(X,Y) ) )),
% 0.16/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.61 fof(f7,axiom,(
% 0.16/0.61 (! [X] :( has_endowment(X)<=> (! [T] :( organization(X)& ( smaller_or_equal(age(X,T),eta)=> has_immunity(X,T) )& ( greater(age(X,T),eta)=> ~ has_immunity(X,T) ) ) )) )),
% 0.16/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.61 fof(f8,axiom,(
% 0.16/0.61 (! [X,T0,T] :( ( organization(X)& has_immunity(X,T0)& has_immunity(X,T) )=> hazard_of_mortality(X,T0) = hazard_of_mortality(X,T) ) )),
% 0.16/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.61 fof(f9,axiom,(
% 0.16/0.61 (! [X,T0,T] :( ( organization(X)& has_immunity(X,T0)& ~ has_immunity(X,T) )=> greater(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) ) )),
% 0.16/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.61 fof(f10,conjecture,(
% 0.16/0.61 (! [X,T0,T1,T2] :( ( organization(X)& has_endowment(X)& age(X,T0) = zero& smaller_or_equal(age(X,T1),eta)& greater(age(X,T2),eta)& greater_or_equal(eta,sigma)& greater(sigma,zero) )=> ( greater(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1))& hazard_of_mortality(X,T1) = hazard_of_mortality(X,T0) ) ) )),
% 0.16/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.61 fof(f11,negated_conjecture,(
% 0.16/0.61 ~((! [X,T0,T1,T2] :( ( organization(X)& has_endowment(X)& age(X,T0) = zero& smaller_or_equal(age(X,T1),eta)& greater(age(X,T2),eta)& greater_or_equal(eta,sigma)& greater(sigma,zero) )=> ( greater(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1))& hazard_of_mortality(X,T1) = hazard_of_mortality(X,T0) ) ) ))),
% 0.16/0.61 inference(negated_conjecture,[status(cth)],[f10])).
% 0.16/0.61 fof(f12,plain,(
% 0.16/0.61 ![X,Y]: ((~smaller_or_equal(X,Y)|(smaller(X,Y)|X=Y))&(smaller_or_equal(X,Y)|(~smaller(X,Y)&~X=Y)))),
% 0.16/0.61 inference(NNF_transformation,[status(thm)],[f1])).
% 0.16/0.61 fof(f13,plain,(
% 0.16/0.61 (![X,Y]: (~smaller_or_equal(X,Y)|(smaller(X,Y)|X=Y)))&(![X,Y]: (smaller_or_equal(X,Y)|(~smaller(X,Y)&~X=Y)))),
% 0.16/0.61 inference(miniscoping,[status(thm)],[f12])).
% 0.16/0.61 fof(f15,plain,(
% 0.16/0.61 ![X0,X1]: (smaller_or_equal(X0,X1)|~smaller(X0,X1))),
% 0.16/0.61 inference(cnf_transformation,[status(thm)],[f13])).
% 0.16/0.61 fof(f17,plain,(
% 0.16/0.61 ![X,Y]: ((~greater_or_equal(X,Y)|(greater(X,Y)|X=Y))&(greater_or_equal(X,Y)|(~greater(X,Y)&~X=Y)))),
% 0.16/0.61 inference(NNF_transformation,[status(thm)],[f2])).
% 0.16/0.61 fof(f18,plain,(
% 0.16/0.61 (![X,Y]: (~greater_or_equal(X,Y)|(greater(X,Y)|X=Y)))&(![X,Y]: (greater_or_equal(X,Y)|(~greater(X,Y)&~X=Y)))),
% 0.16/0.61 inference(miniscoping,[status(thm)],[f17])).
% 0.16/0.61 fof(f19,plain,(
% 0.16/0.61 ![X0,X1]: (~greater_or_equal(X0,X1)|greater(X0,X1)|X0=X1)),
% 0.16/0.61 inference(cnf_transformation,[status(thm)],[f18])).
% 0.16/0.61 fof(f20,plain,(
% 0.16/0.61 ![X0,X1]: (greater_or_equal(X0,X1)|~greater(X0,X1))),
% 0.16/0.61 inference(cnf_transformation,[status(thm)],[f18])).
% 0.16/0.61 fof(f22,plain,(
% 0.16/0.61 ![X,Y]: ((~smaller(X,Y)|greater(Y,X))&(smaller(X,Y)|~greater(Y,X)))),
% 0.16/0.61 inference(NNF_transformation,[status(thm)],[f3])).
% 0.16/0.61 fof(f23,plain,(
% 0.16/0.61 (![X,Y]: (~smaller(X,Y)|greater(Y,X)))&(![X,Y]: (smaller(X,Y)|~greater(Y,X)))),
% 0.16/0.61 inference(miniscoping,[status(thm)],[f22])).
% 0.16/0.61 fof(f24,plain,(
% 0.16/0.61 ![X0,X1]: (~smaller(X0,X1)|greater(X1,X0))),
% 0.16/0.61 inference(cnf_transformation,[status(thm)],[f23])).
% 0.16/0.61 fof(f25,plain,(
% 0.16/0.61 ![X0,X1]: (smaller(X0,X1)|~greater(X1,X0))),
% 0.16/0.61 inference(cnf_transformation,[status(thm)],[f23])).
% 0.16/0.61 fof(f26,plain,(
% 0.16/0.61 ![X,Y]: (~greater(X,Y)|~greater(Y,X))),
% 0.16/0.61 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.16/0.61 fof(f27,plain,(
% 0.16/0.61 ![X0,X1]: (~greater(X0,X1)|~greater(X1,X0))),
% 0.16/0.61 inference(cnf_transformation,[status(thm)],[f26])).
% 0.16/0.61 fof(f28,plain,(
% 0.16/0.61 ![X,Y,Z]: ((~greater(X,Y)|~greater(Y,Z))|greater(X,Z))),
% 0.16/0.61 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.16/0.61 fof(f29,plain,(
% 0.16/0.61 ![X,Z]: ((![Y]: (~greater(X,Y)|~greater(Y,Z)))|greater(X,Z))),
% 0.16/0.61 inference(miniscoping,[status(thm)],[f28])).
% 0.16/0.61 fof(f30,plain,(
% 0.16/0.61 ![X0,X1,X2]: (~greater(X0,X1)|~greater(X1,X2)|greater(X0,X2))),
% 0.16/0.61 inference(cnf_transformation,[status(thm)],[f29])).
% 0.16/0.61 fof(f31,plain,(
% 0.16/0.61 ![X0,X1]: (smaller(X0,X1)|X0=X1|greater(X0,X1))),
% 0.16/0.61 inference(cnf_transformation,[status(thm)],[f6])).
% 0.16/0.61 fof(f32,plain,(
% 0.16/0.61 ![X]: (has_endowment(X)<=>(![T]: ((organization(X)&(~smaller_or_equal(age(X,T),eta)|has_immunity(X,T)))&(~greater(age(X,T),eta)|~has_immunity(X,T)))))),
% 0.16/0.61 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.16/0.61 fof(f33,plain,(
% 0.16/0.61 ![X]: ((~has_endowment(X)|(![T]: ((organization(X)&(~smaller_or_equal(age(X,T),eta)|has_immunity(X,T)))&(~greater(age(X,T),eta)|~has_immunity(X,T)))))&(has_endowment(X)|(?[T]: ((~organization(X)|(smaller_or_equal(age(X,T),eta)&~has_immunity(X,T)))|(greater(age(X,T),eta)&has_immunity(X,T))))))),
% 0.16/0.61 inference(NNF_transformation,[status(thm)],[f32])).
% 0.16/0.61 fof(f34,plain,(
% 0.16/0.61 (![X]: (~has_endowment(X)|((organization(X)&(![T]: (~smaller_or_equal(age(X,T),eta)|has_immunity(X,T))))&(![T]: (~greater(age(X,T),eta)|~has_immunity(X,T))))))&(![X]: (has_endowment(X)|((~organization(X)|(?[T]: (smaller_or_equal(age(X,T),eta)&~has_immunity(X,T))))|(?[T]: (greater(age(X,T),eta)&has_immunity(X,T))))))),
% 0.16/0.61 inference(miniscoping,[status(thm)],[f33])).
% 0.16/0.61 fof(f35,plain,(
% 0.16/0.61 (![X]: (~has_endowment(X)|((organization(X)&(![T]: (~smaller_or_equal(age(X,T),eta)|has_immunity(X,T))))&(![T]: (~greater(age(X,T),eta)|~has_immunity(X,T))))))&(![X]: (has_endowment(X)|((~organization(X)|(smaller_or_equal(age(X,sK0_skl(X)),eta)&~has_immunity(X,sK0_skl(X))))|(greater(age(X,sK1_skl(X)),eta)&has_immunity(X,sK1_skl(X))))))),
% 0.16/0.61 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(T,sK0_skl(X)),skolemize(T,sK1_skl(X))],[f34])).
% 0.16/0.61 fof(f37,plain,(
% 0.16/0.61 ![X0,X1]: (~has_endowment(X0)|~smaller_or_equal(age(X0,X1),eta)|has_immunity(X0,X1))),
% 0.16/0.61 inference(cnf_transformation,[status(thm)],[f35])).
% 0.16/0.61 fof(f38,plain,(
% 0.16/0.61 ![X0,X1]: (~has_endowment(X0)|~greater(age(X0,X1),eta)|~has_immunity(X0,X1))),
% 0.16/0.61 inference(cnf_transformation,[status(thm)],[f35])).
% 0.16/0.61 fof(f43,plain,(
% 0.16/0.61 ![X,T0,T]: (((~organization(X)|~has_immunity(X,T0))|~has_immunity(X,T))|hazard_of_mortality(X,T0)=hazard_of_mortality(X,T))),
% 0.16/0.61 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.16/0.61 fof(f44,plain,(
% 0.16/0.61 ![X0,X1,X2]: (~organization(X0)|~has_immunity(X0,X1)|~has_immunity(X0,X2)|hazard_of_mortality(X0,X1)=hazard_of_mortality(X0,X2))),
% 0.16/0.61 inference(cnf_transformation,[status(thm)],[f43])).
% 0.16/0.61 fof(f45,plain,(
% 0.16/0.61 ![X,T0,T]: (((~organization(X)|~has_immunity(X,T0))|has_immunity(X,T))|greater(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)))),
% 0.16/0.61 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.16/0.61 fof(f46,plain,(
% 0.16/0.61 ![X0,X1,X2]: (~organization(X0)|~has_immunity(X0,X1)|has_immunity(X0,X2)|greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)))),
% 0.16/0.61 inference(cnf_transformation,[status(thm)],[f45])).
% 0.16/0.61 fof(f47,plain,(
% 0.16/0.61 (?[X,T0,T1,T2]: (((((((organization(X)&has_endowment(X))&age(X,T0)=zero)&smaller_or_equal(age(X,T1),eta))&greater(age(X,T2),eta))&greater_or_equal(eta,sigma))&greater(sigma,zero))&(~greater(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1))|~hazard_of_mortality(X,T1)=hazard_of_mortality(X,T0))))),
% 0.16/0.61 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 0.16/0.61 fof(f48,plain,(
% 0.16/0.61 (((((((organization(sK2_skl)&has_endowment(sK2_skl))&age(sK2_skl,sK3_skl)=zero)&smaller_or_equal(age(sK2_skl,sK4_skl),eta))&greater(age(sK2_skl,sK5_skl),eta))&greater_or_equal(eta,sigma))&greater(sigma,zero))&(~greater(hazard_of_mortality(sK2_skl,sK5_skl),hazard_of_mortality(sK2_skl,sK4_skl))|~hazard_of_mortality(sK2_skl,sK4_skl)=hazard_of_mortality(sK2_skl,sK3_skl)))),
% 0.16/0.61 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl,sK4_skl,sK5_skl]),skolemize(X,sK2_skl),skolemize(T0,sK3_skl),skolemize(T1,sK4_skl),skolemize(T2,sK5_skl)],[f47])).
% 0.16/0.61 fof(f49,plain,(
% 0.16/0.61 organization(sK2_skl)),
% 0.16/0.61 inference(cnf_transformation,[status(thm)],[f48])).
% 0.16/0.61 fof(f50,plain,(
% 0.16/0.61 has_endowment(sK2_skl)),
% 0.16/0.61 inference(cnf_transformation,[status(thm)],[f48])).
% 0.16/0.61 fof(f51,plain,(
% 0.16/0.61 age(sK2_skl,sK3_skl)=zero),
% 0.16/0.61 inference(cnf_transformation,[status(thm)],[f48])).
% 0.16/0.61 fof(f52,plain,(
% 0.16/0.61 smaller_or_equal(age(sK2_skl,sK4_skl),eta)),
% 0.16/0.61 inference(cnf_transformation,[status(thm)],[f48])).
% 0.16/0.61 fof(f53,plain,(
% 0.16/0.61 greater(age(sK2_skl,sK5_skl),eta)),
% 0.16/0.61 inference(cnf_transformation,[status(thm)],[f48])).
% 0.16/0.61 fof(f54,plain,(
% 0.16/0.61 greater_or_equal(eta,sigma)),
% 0.16/0.61 inference(cnf_transformation,[status(thm)],[f48])).
% 0.16/0.61 fof(f55,plain,(
% 0.16/0.61 greater(sigma,zero)),
% 0.16/0.61 inference(cnf_transformation,[status(thm)],[f48])).
% 0.16/0.61 fof(f56,plain,(
% 0.16/0.61 ~greater(hazard_of_mortality(sK2_skl,sK5_skl),hazard_of_mortality(sK2_skl,sK4_skl))|~hazard_of_mortality(sK2_skl,sK4_skl)=hazard_of_mortality(sK2_skl,sK3_skl)),
% 0.16/0.61 inference(cnf_transformation,[status(thm)],[f48])).
% 0.16/0.61 fof(f57,definition,(
% 0.16/0.61 sQ0_spl <=> (greater(hazard_of_mortality(sK2_skl,sK5_skl),hazard_of_mortality(sK2_skl,sK4_skl)))),
% 0.16/0.61 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.16/0.61 fof(f59,plain,(
% 0.16/0.61 ~greater(hazard_of_mortality(sK2_skl,sK5_skl),hazard_of_mortality(sK2_skl,sK4_skl))|sQ0_spl),
% 0.16/0.61 inference(component_clause,[status(thm)],[f57])).
% 0.16/0.61 fof(f60,definition,(
% 0.16/0.61 sQ1_spl <=> (hazard_of_mortality(sK2_skl,sK4_skl)=hazard_of_mortality(sK2_skl,sK3_skl))),
% 0.16/0.61 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.16/0.61 fof(f61,plain,(
% 0.16/0.61 hazard_of_mortality(sK2_skl,sK4_skl)=hazard_of_mortality(sK2_skl,sK3_skl)|~sQ1_spl),
% 0.16/0.61 inference(component_clause,[status(thm)],[f60])).
% 0.16/0.61 fof(f62,plain,(
% 0.16/0.61 ~hazard_of_mortality(sK2_skl,sK4_skl)=hazard_of_mortality(sK2_skl,sK3_skl)|sQ1_spl),
% 0.16/0.61 inference(component_clause,[status(thm)],[f60])).
% 0.16/0.61 fof(f63,plain,(
% 0.16/0.61 ~sQ0_spl|~sQ1_spl),
% 0.16/0.61 inference(split_clause,[status(thm)],[f56,f57,f60])).
% 0.16/0.61 fof(f68,plain,(
% 0.16/0.61 greater(eta,sigma)|eta=sigma),
% 0.16/0.61 inference(resolution,[status(thm)],[f54,f19])).
% 0.16/0.61 fof(f69,definition,(
% 0.16/0.61 sQ2_spl <=> (greater(eta,sigma))),
% 0.16/0.61 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.16/0.61 fof(f70,plain,(
% 0.16/0.61 greater(eta,sigma)|~sQ2_spl),
% 0.16/0.61 inference(component_clause,[status(thm)],[f69])).
% 0.16/0.61 fof(f72,definition,(
% 0.16/0.61 sQ3_spl <=> (eta=sigma)),
% 0.16/0.61 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.16/0.61 fof(f73,plain,(
% 0.16/0.61 eta=sigma|~sQ3_spl),
% 0.16/0.61 inference(component_clause,[status(thm)],[f72])).
% 0.16/0.61 fof(f75,plain,(
% 0.16/0.61 sQ2_spl|sQ3_spl),
% 0.16/0.61 inference(split_clause,[status(thm)],[f68,f69,f72])).
% 0.16/0.61 fof(f76,plain,(
% 0.16/0.61 greater_or_equal(sigma,zero)),
% 0.16/0.61 inference(resolution,[status(thm)],[f55,f20])).
% 0.16/0.61 fof(f79,plain,(
% 0.16/0.61 greater(sigma,zero)|sigma=zero),
% 0.16/0.61 inference(resolution,[status(thm)],[f76,f19])).
% 0.16/0.61 fof(f80,definition,(
% 0.16/0.61 sQ4_spl <=> (greater(sigma,zero))),
% 0.16/0.61 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.16/0.61 fof(f83,definition,(
% 0.16/0.61 sQ5_spl <=> (sigma=zero)),
% 0.16/0.61 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.16/0.61 fof(f84,plain,(
% 0.16/0.61 sigma=zero|~sQ5_spl),
% 0.16/0.61 inference(component_clause,[status(thm)],[f83])).
% 0.16/0.61 fof(f86,plain,(
% 0.16/0.61 sQ4_spl|sQ5_spl),
% 0.16/0.61 inference(split_clause,[status(thm)],[f79,f80,f83])).
% 0.16/0.61 fof(f87,plain,(
% 0.16/0.61 ~greater(sigma,eta)|~sQ2_spl),
% 0.16/0.61 inference(resolution,[status(thm)],[f27,f70])).
% 0.16/0.61 fof(f88,plain,(
% 0.16/0.61 ~greater(zero,sigma)),
% 0.16/0.61 inference(resolution,[status(thm)],[f27,f55])).
% 0.16/0.61 fof(f90,plain,(
% 0.16/0.61 ![X0]: (~greater(zero,X0)|greater(sigma,X0))),
% 0.16/0.61 inference(resolution,[status(thm)],[f30,f55])).
% 0.16/0.61 fof(f91,plain,(
% 0.16/0.61 ~has_endowment(sK2_skl)|~smaller_or_equal(zero,eta)|has_immunity(sK2_skl,sK3_skl)),
% 0.16/0.61 inference(paramodulation,[status(thm)],[f51,f37])).
% 0.16/0.61 fof(f92,definition,(
% 0.16/0.61 sQ6_spl <=> (has_endowment(sK2_skl))),
% 0.16/0.61 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.16/0.61 fof(f94,plain,(
% 0.16/0.61 ~has_endowment(sK2_skl)|sQ6_spl),
% 0.16/0.61 inference(component_clause,[status(thm)],[f92])).
% 0.16/0.61 fof(f95,definition,(
% 0.16/0.61 sQ7_spl <=> (smaller_or_equal(zero,eta))),
% 0.16/0.61 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.16/0.61 fof(f97,plain,(
% 0.16/0.61 ~smaller_or_equal(zero,eta)|sQ7_spl),
% 0.16/0.61 inference(component_clause,[status(thm)],[f95])).
% 0.16/0.61 fof(f98,definition,(
% 0.16/0.61 sQ8_spl <=> (has_immunity(sK2_skl,sK3_skl))),
% 0.16/0.61 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.16/0.61 fof(f99,plain,(
% 0.16/0.61 has_immunity(sK2_skl,sK3_skl)|~sQ8_spl),
% 0.16/0.61 inference(component_clause,[status(thm)],[f98])).
% 0.16/0.61 fof(f101,plain,(
% 0.16/0.61 ~sQ6_spl|~sQ7_spl|sQ8_spl),
% 0.16/0.61 inference(split_clause,[status(thm)],[f91,f92,f95,f98])).
% 0.16/0.61 fof(f104,plain,(
% 0.16/0.61 smaller(zero,sigma)|zero=sigma),
% 0.16/0.61 inference(resolution,[status(thm)],[f31,f88])).
% 0.16/0.61 fof(f105,plain,(
% 0.16/0.61 smaller(sigma,eta)|sigma=eta|~sQ2_spl),
% 0.16/0.61 inference(resolution,[status(thm)],[f31,f87])).
% 0.16/0.61 fof(f106,plain,(
% 0.16/0.61 ![X0,X1]: (smaller(X0,X1)|X0=X1|smaller(X1,X0))),
% 0.16/0.61 inference(resolution,[status(thm)],[f31,f25])).
% 0.16/0.61 fof(f110,definition,(
% 0.16/0.61 sQ9_spl <=> (smaller(zero,sigma))),
% 0.16/0.61 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.16/0.61 fof(f111,plain,(
% 0.16/0.61 smaller(zero,sigma)|~sQ9_spl),
% 0.16/0.61 inference(component_clause,[status(thm)],[f110])).
% 0.16/0.61 fof(f113,plain,(
% 0.16/0.61 sQ9_spl|sQ5_spl),
% 0.16/0.61 inference(split_clause,[status(thm)],[f104,f110,f83])).
% 0.16/0.61 fof(f114,definition,(
% 0.16/0.61 sQ10_spl <=> (smaller(sigma,eta))),
% 0.16/0.61 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.16/0.61 fof(f115,plain,(
% 0.16/0.61 smaller(sigma,eta)|~sQ10_spl),
% 0.16/0.61 inference(component_clause,[status(thm)],[f114])).
% 0.16/0.61 fof(f117,plain,(
% 0.16/0.61 sQ10_spl|sQ3_spl|~sQ2_spl),
% 0.16/0.61 inference(split_clause,[status(thm)],[f105,f114,f72,f69])).
% 0.16/0.61 fof(f124,plain,(
% 0.16/0.61 $false|sQ6_spl),
% 0.16/0.61 inference(forward_subsumption_resolution,[status(thm)],[f94,f50])).
% 0.16/0.61 fof(f125,plain,(
% 0.16/0.61 sQ6_spl),
% 0.16/0.61 inference(contradiction_clause,[status(thm)],[f124])).
% 0.16/0.61 fof(f128,plain,(
% 0.16/0.61 greater(zero,zero)|~sQ5_spl),
% 0.16/0.61 inference(backward_demodulation,[status(thm)],[f84,f55])).
% 0.16/0.61 fof(f130,plain,(
% 0.16/0.61 ~has_endowment(sK2_skl)|has_immunity(sK2_skl,sK4_skl)),
% 0.16/0.61 inference(resolution,[status(thm)],[f52,f37])).
% 0.16/0.61 fof(f132,definition,(
% 0.16/0.61 sQ12_spl <=> (has_immunity(sK2_skl,sK4_skl))),
% 0.16/0.61 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.16/0.61 fof(f133,plain,(
% 0.16/0.61 has_immunity(sK2_skl,sK4_skl)|~sQ12_spl),
% 0.16/0.61 inference(component_clause,[status(thm)],[f132])).
% 0.16/0.61 fof(f135,plain,(
% 0.16/0.61 ~sQ6_spl|sQ12_spl),
% 0.16/0.61 inference(split_clause,[status(thm)],[f130,f92,f132])).
% 0.16/0.61 fof(f166,definition,(
% 0.16/0.61 sQ18_spl <=> (smaller(zero,eta))),
% 0.16/0.61 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.16/0.61 fof(f167,plain,(
% 0.16/0.61 smaller(zero,eta)|~sQ18_spl),
% 0.16/0.61 inference(component_clause,[status(thm)],[f166])).
% 0.16/0.61 fof(f169,definition,(
% 0.16/0.61 sQ19_spl <=> (zero=eta)),
% 0.16/0.61 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.16/0.61 fof(f170,plain,(
% 0.16/0.61 zero=eta|~sQ19_spl),
% 0.16/0.61 inference(component_clause,[status(thm)],[f169])).
% 0.16/0.61 fof(f173,plain,(
% 0.16/0.61 ~has_endowment(sK2_skl)|~has_immunity(sK2_skl,sK5_skl)),
% 0.16/0.61 inference(resolution,[status(thm)],[f53,f38])).
% 0.16/0.61 fof(f178,definition,(
% 0.16/0.61 sQ20_spl <=> (has_immunity(sK2_skl,sK5_skl))),
% 0.16/0.61 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.16/0.61 fof(f180,plain,(
% 0.16/0.61 ~has_immunity(sK2_skl,sK5_skl)|sQ20_spl),
% 0.16/0.61 inference(component_clause,[status(thm)],[f178])).
% 0.16/0.61 fof(f181,plain,(
% 0.16/0.61 ~sQ6_spl|~sQ20_spl),
% 0.16/0.61 inference(split_clause,[status(thm)],[f173,f92,f178])).
% 0.16/0.61 fof(f182,plain,(
% 0.16/0.61 ![X0]: (~organization(sK2_skl)|has_immunity(sK2_skl,X0)|greater(hazard_of_mortality(sK2_skl,X0),hazard_of_mortality(sK2_skl,sK4_skl))|~sQ12_spl)),
% 0.16/0.61 inference(resolution,[status(thm)],[f133,f46])).
% 0.16/0.61 fof(f183,plain,(
% 0.16/0.61 ![X0]: (~organization(sK2_skl)|~has_immunity(sK2_skl,X0)|hazard_of_mortality(sK2_skl,sK4_skl)=hazard_of_mortality(sK2_skl,X0)|~sQ12_spl)),
% 0.16/0.61 inference(resolution,[status(thm)],[f133,f44])).
% 0.16/0.61 fof(f184,definition,(
% 0.16/0.61 sQ21_spl <=> (organization(sK2_skl))),
% 0.16/0.61 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.16/0.61 fof(f186,plain,(
% 0.16/0.61 ~organization(sK2_skl)|sQ21_spl),
% 0.16/0.61 inference(component_clause,[status(thm)],[f184])).
% 0.16/0.61 fof(f187,definition,(
% 0.16/0.61 ![X0]: (sQ22_spl <=> (has_immunity(sK2_skl,X0)|greater(hazard_of_mortality(sK2_skl,X0),hazard_of_mortality(sK2_skl,sK4_skl))))),
% 0.16/0.61 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.16/0.61 fof(f190,plain,(
% 0.16/0.61 ~sQ21_spl|sQ22_spl|~sQ12_spl),
% 0.16/0.61 inference(split_clause,[status(thm)],[f182,f184,f187,f132])).
% 0.16/0.61 fof(f191,definition,(
% 0.16/0.61 ![X0]: (sQ23_spl <=> (~has_immunity(sK2_skl,X0)|hazard_of_mortality(sK2_skl,sK4_skl)=hazard_of_mortality(sK2_skl,X0)))),
% 0.16/0.61 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.16/0.61 fof(f192,plain,(
% 0.16/0.61 ![X0]: (~has_immunity(sK2_skl,X0)|hazard_of_mortality(sK2_skl,sK4_skl)=hazard_of_mortality(sK2_skl,X0)|~sQ23_spl)),
% 0.16/0.61 inference(component_clause,[status(thm)],[f191])).
% 0.16/0.61 fof(f194,plain,(
% 0.16/0.61 ~sQ21_spl|sQ23_spl|~sQ12_spl),
% 0.16/0.61 inference(split_clause,[status(thm)],[f183,f184,f191,f132])).
% 0.16/0.61 fof(f195,plain,(
% 0.16/0.61 $false|sQ21_spl),
% 0.16/0.61 inference(forward_subsumption_resolution,[status(thm)],[f186,f49])).
% 0.16/0.61 fof(f196,plain,(
% 0.16/0.61 sQ21_spl),
% 0.16/0.61 inference(contradiction_clause,[status(thm)],[f195])).
% 0.16/0.61 fof(f197,plain,(
% 0.16/0.61 greater(eta,sigma)|~sQ10_spl),
% 0.16/0.61 inference(resolution,[status(thm)],[f115,f24])).
% 0.16/0.61 fof(f212,plain,(
% 0.16/0.61 smaller_or_equal(zero,sigma)|~sQ9_spl),
% 0.16/0.61 inference(resolution,[status(thm)],[f111,f15])).
% 0.16/0.61 fof(f227,plain,(
% 0.16/0.61 ![X0]: (greater(sigma,X0)|smaller(zero,X0)|zero=X0)),
% 0.16/0.61 inference(resolution,[status(thm)],[f90,f31])).
% 0.16/0.61 fof(f235,plain,(
% 0.16/0.61 smaller_or_equal(zero,eta)|~sQ18_spl),
% 0.16/0.61 inference(resolution,[status(thm)],[f167,f15])).
% 0.16/0.61 fof(f236,plain,(
% 0.16/0.61 $false|sQ7_spl|~sQ18_spl),
% 0.16/0.61 inference(forward_subsumption_resolution,[status(thm)],[f235,f97])).
% 0.16/0.61 fof(f237,plain,(
% 0.16/0.61 sQ7_spl|~sQ18_spl),
% 0.16/0.61 inference(contradiction_clause,[status(thm)],[f236])).
% 0.16/0.61 fof(f241,plain,(
% 0.16/0.61 ![X0,X1]: (X0=X1|smaller(X1,X0)|smaller_or_equal(X0,X1))),
% 0.16/0.61 inference(resolution,[status(thm)],[f106,f15])).
% 0.16/0.61 fof(f251,plain,(
% 0.16/0.61 ~greater(eta,sigma)|~sQ19_spl),
% 0.16/0.61 inference(backward_demodulation,[status(thm)],[f170,f88])).
% 0.16/0.61 fof(f257,plain,(
% 0.16/0.61 $false|~sQ2_spl|~sQ19_spl),
% 0.16/0.61 inference(forward_subsumption_resolution,[status(thm)],[f251,f70])).
% 0.16/0.61 fof(f258,plain,(
% 0.16/0.61 ~sQ2_spl|~sQ19_spl),
% 0.16/0.61 inference(contradiction_clause,[status(thm)],[f257])).
% 0.16/0.61 fof(f275,plain,(
% 0.16/0.61 ~greater(sigma,eta)|~sQ10_spl),
% 0.16/0.61 inference(resolution,[status(thm)],[f197,f27])).
% 0.16/0.61 fof(f366,plain,(
% 0.16/0.61 smaller_or_equal(zero,eta)|~sQ3_spl|~sQ9_spl),
% 0.16/0.61 inference(backward_demodulation,[status(thm)],[f73,f212])).
% 0.16/0.61 fof(f371,plain,(
% 0.16/0.61 $false|sQ7_spl|~sQ3_spl|~sQ9_spl),
% 0.16/0.61 inference(forward_subsumption_resolution,[status(thm)],[f366,f97])).
% 0.16/0.61 fof(f372,plain,(
% 0.16/0.61 sQ7_spl|~sQ3_spl|~sQ9_spl),
% 0.16/0.61 inference(contradiction_clause,[status(thm)],[f371])).
% 0.16/0.61 fof(f407,plain,(
% 0.16/0.61 ![X0]: (~organization(sK2_skl)|has_immunity(sK2_skl,X0)|greater(hazard_of_mortality(sK2_skl,X0),hazard_of_mortality(sK2_skl,sK3_skl))|~sQ8_spl)),
% 0.16/0.61 inference(resolution,[status(thm)],[f99,f46])).
% 0.16/0.61 fof(f416,definition,(
% 0.16/0.61 ![X0]: (sQ38_spl <=> (has_immunity(sK2_skl,X0)|greater(hazard_of_mortality(sK2_skl,X0),hazard_of_mortality(sK2_skl,sK3_skl))))),
% 0.16/0.61 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 0.16/0.61 fof(f417,plain,(
% 0.16/0.61 ![X0]: (has_immunity(sK2_skl,X0)|greater(hazard_of_mortality(sK2_skl,X0),hazard_of_mortality(sK2_skl,sK3_skl))|~sQ38_spl)),
% 0.16/0.61 inference(component_clause,[status(thm)],[f416])).
% 0.16/0.61 fof(f419,plain,(
% 0.16/0.61 ~sQ21_spl|sQ38_spl|~sQ8_spl),
% 0.16/0.61 inference(split_clause,[status(thm)],[f407,f184,f416,f98])).
% 0.16/0.61 fof(f454,plain,(
% 0.16/0.61 hazard_of_mortality(sK2_skl,sK4_skl)=hazard_of_mortality(sK2_skl,sK3_skl)|~sQ23_spl|~sQ8_spl),
% 0.16/0.61 inference(resolution,[status(thm)],[f192,f99])).
% 0.16/0.61 fof(f456,plain,(
% 0.16/0.61 $false|sQ1_spl|~sQ23_spl|~sQ8_spl),
% 0.16/0.61 inference(forward_subsumption_resolution,[status(thm)],[f454,f62])).
% 0.16/0.61 fof(f457,plain,(
% 0.16/0.61 sQ1_spl|~sQ23_spl|~sQ8_spl),
% 0.16/0.61 inference(contradiction_clause,[status(thm)],[f456])).
% 0.16/0.61 fof(f463,plain,(
% 0.16/0.61 ~greater(hazard_of_mortality(sK2_skl,sK5_skl),hazard_of_mortality(sK2_skl,sK3_skl))|~sQ1_spl|sQ0_spl),
% 0.16/0.61 inference(forward_demodulation,[status(thm)],[f61,f59])).
% 0.16/0.61 fof(f476,plain,(
% 0.16/0.61 smaller(zero,eta)|zero=eta|~sQ10_spl),
% 0.16/0.61 inference(resolution,[status(thm)],[f227,f275])).
% 0.16/0.61 fof(f482,plain,(
% 0.16/0.61 sQ18_spl|sQ19_spl|~sQ10_spl),
% 0.16/0.61 inference(split_clause,[status(thm)],[f476,f166,f169,f114])).
% 0.16/0.61 fof(f565,plain,(
% 0.16/0.61 ~greater(zero,sigma)),
% 0.16/0.61 inference(resolution,[status(thm)],[f55,f27])).
% 0.16/0.61 fof(f640,plain,(
% 0.16/0.61 ![X0,X1]: (X0=X1|smaller_or_equal(X0,X1)|greater(X0,X1))),
% 0.16/0.61 inference(resolution,[status(thm)],[f241,f24])).
% 0.16/0.61 fof(f938,plain,(
% 0.16/0.61 zero=sigma|smaller_or_equal(zero,sigma)),
% 0.16/0.61 inference(resolution,[status(thm)],[f565,f640])).
% 0.16/0.61 fof(f941,definition,(
% 0.16/0.61 sQ58_spl <=> (smaller_or_equal(zero,sigma))),
% 0.16/0.61 introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition])).
% 0.16/0.61 fof(f944,plain,(
% 0.16/0.61 sQ5_spl|sQ58_spl),
% 0.16/0.61 inference(split_clause,[status(thm)],[f938,f83,f941])).
% 0.16/0.61 fof(f950,plain,(
% 0.16/0.61 ~greater(zero,zero)|~sQ5_spl),
% 0.16/0.61 inference(resolution,[status(thm)],[f128,f27])).
% 0.16/0.61 fof(f952,plain,(
% 0.16/0.61 $false|~sQ5_spl),
% 0.16/0.61 inference(forward_subsumption_resolution,[status(thm)],[f950,f128])).
% 0.16/0.61 fof(f953,plain,(
% 0.16/0.61 ~sQ5_spl),
% 0.16/0.61 inference(contradiction_clause,[status(thm)],[f952])).
% 0.16/0.61 fof(f993,plain,(
% 0.16/0.61 has_immunity(sK2_skl,sK5_skl)|~sQ38_spl|~sQ1_spl|sQ0_spl),
% 0.16/0.61 inference(resolution,[status(thm)],[f417,f463])).
% 0.16/0.61 fof(f1000,plain,(
% 0.16/0.61 $false|sQ20_spl|~sQ38_spl|~sQ1_spl|sQ0_spl),
% 0.16/0.61 inference(forward_subsumption_resolution,[status(thm)],[f993,f180])).
% 0.16/0.61 fof(f1001,plain,(
% 0.16/0.61 sQ20_spl|~sQ38_spl|~sQ1_spl|sQ0_spl),
% 0.16/0.61 inference(contradiction_clause,[status(thm)],[f1000])).
% 0.16/0.61 fof(f1002,plain,(
% 0.16/0.61 $false),
% 0.16/0.61 inference(sat_refutation,[status(thm)],[f63,f75,f86,f101,f113,f117,f125,f135,f181,f190,f194,f196,f237,f258,f372,f419,f457,f482,f944,f953,f1001])).
% 0.16/0.61 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.62 % Elapsed time: 0.099678 seconds
% 0.16/0.62 % CPU time: 0.477230 seconds
% 0.16/0.62 % Total memory used: 107.811 MB
% 0.16/0.62 % Net memory used: 106.744 MB
%------------------------------------------------------------------------------