%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : MGT057+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 : n019.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 0.09s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT057+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n019.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 01:24:05 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.40 fof(f1,axiom,(
% 0.09/0.40 (! [X,Y] :( smaller_or_equal(X,Y)<=> ( smaller(X,Y)| X = Y ) ) )),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f3,axiom,(
% 0.09/0.40 (! [X,Y] :( smaller(X,Y)<=> greater(Y,X) ) )),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f7,axiom,(
% 0.09/0.40 (! [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) ) ) )) )),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f8,axiom,(
% 0.09/0.40 (! [X,T0,T] :( ( organization(X)& has_immunity(X,T0)& has_immunity(X,T) )=> hazard_of_mortality(X,T0) = hazard_of_mortality(X,T) ) )),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f9,axiom,(
% 0.09/0.40 (! [X,T0,T] :( ( organization(X)& has_immunity(X,T0)& ~ has_immunity(X,T) )=> greater(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) ) )),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f10,conjecture,(
% 0.09/0.40 (! [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(eta,zero) )=> ( greater(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1))& hazard_of_mortality(X,T1) = hazard_of_mortality(X,T0) ) ) )),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f11,negated_conjecture,(
% 0.09/0.40 ~((! [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(eta,zero) )=> ( greater(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1))& hazard_of_mortality(X,T1) = hazard_of_mortality(X,T0) ) ) ))),
% 0.09/0.40 inference(negated_conjecture,[status(cth)],[f10])).
% 0.09/0.40 fof(f12,plain,(
% 0.09/0.40 ![X,Y]: ((~smaller_or_equal(X,Y)|(smaller(X,Y)|X=Y))&(smaller_or_equal(X,Y)|(~smaller(X,Y)&~X=Y)))),
% 0.09/0.40 inference(NNF_transformation,[status(thm)],[f1])).
% 0.09/0.40 fof(f13,plain,(
% 0.09/0.40 (![X,Y]: (~smaller_or_equal(X,Y)|(smaller(X,Y)|X=Y)))&(![X,Y]: (smaller_or_equal(X,Y)|(~smaller(X,Y)&~X=Y)))),
% 0.09/0.40 inference(miniscoping,[status(thm)],[f12])).
% 0.09/0.40 fof(f15,plain,(
% 0.09/0.40 ![X0,X1]: (smaller_or_equal(X0,X1)|~smaller(X0,X1))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f13])).
% 0.09/0.40 fof(f22,plain,(
% 0.09/0.40 ![X,Y]: ((~smaller(X,Y)|greater(Y,X))&(smaller(X,Y)|~greater(Y,X)))),
% 0.09/0.40 inference(NNF_transformation,[status(thm)],[f3])).
% 0.09/0.40 fof(f23,plain,(
% 0.09/0.40 (![X,Y]: (~smaller(X,Y)|greater(Y,X)))&(![X,Y]: (smaller(X,Y)|~greater(Y,X)))),
% 0.09/0.40 inference(miniscoping,[status(thm)],[f22])).
% 0.09/0.40 fof(f25,plain,(
% 0.09/0.40 ![X0,X1]: (smaller(X0,X1)|~greater(X1,X0))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f23])).
% 0.09/0.40 fof(f32,plain,(
% 0.09/0.40 ![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)))))),
% 0.09/0.40 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.09/0.40 fof(f33,plain,(
% 0.09/0.40 ![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))))))),
% 0.09/0.40 inference(NNF_transformation,[status(thm)],[f32])).
% 0.09/0.40 fof(f34,plain,(
% 0.09/0.40 (![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))))))),
% 0.09/0.40 inference(miniscoping,[status(thm)],[f33])).
% 0.09/0.40 fof(f35,plain,(
% 0.09/0.40 (![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))))))),
% 0.09/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(T,sK0_skl(X)),skolemize(T,sK1_skl(X))],[f34])).
% 0.09/0.40 fof(f37,plain,(
% 0.09/0.40 ![X0,X1]: (~has_endowment(X0)|~smaller_or_equal(age(X0,X1),eta)|has_immunity(X0,X1))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f35])).
% 0.09/0.40 fof(f38,plain,(
% 0.09/0.40 ![X0,X1]: (~has_endowment(X0)|~greater(age(X0,X1),eta)|~has_immunity(X0,X1))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f35])).
% 0.09/0.40 fof(f43,plain,(
% 0.09/0.40 ![X,T0,T]: (((~organization(X)|~has_immunity(X,T0))|~has_immunity(X,T))|hazard_of_mortality(X,T0)=hazard_of_mortality(X,T))),
% 0.09/0.40 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.09/0.40 fof(f44,plain,(
% 0.09/0.40 ![X0,X1,X2]: (~organization(X0)|~has_immunity(X0,X1)|~has_immunity(X0,X2)|hazard_of_mortality(X0,X1)=hazard_of_mortality(X0,X2))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f43])).
% 0.09/0.40 fof(f45,plain,(
% 0.09/0.40 ![X,T0,T]: (((~organization(X)|~has_immunity(X,T0))|has_immunity(X,T))|greater(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)))),
% 0.09/0.40 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.09/0.40 fof(f46,plain,(
% 0.09/0.40 ![X0,X1,X2]: (~organization(X0)|~has_immunity(X0,X1)|has_immunity(X0,X2)|greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f45])).
% 0.09/0.40 fof(f47,plain,(
% 0.09/0.40 (?[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(eta,zero))&(~greater(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1))|~hazard_of_mortality(X,T1)=hazard_of_mortality(X,T0))))),
% 0.09/0.40 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 0.09/0.40 fof(f48,plain,(
% 0.09/0.40 ((((((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(eta,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)))),
% 0.09/0.40 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])).
% 0.09/0.40 fof(f49,plain,(
% 0.09/0.40 organization(sK2_skl)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f48])).
% 0.09/0.40 fof(f50,plain,(
% 0.09/0.40 has_endowment(sK2_skl)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f48])).
% 0.09/0.40 fof(f51,plain,(
% 0.09/0.40 age(sK2_skl,sK3_skl)=zero),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f48])).
% 0.09/0.40 fof(f52,plain,(
% 0.09/0.40 smaller_or_equal(age(sK2_skl,sK4_skl),eta)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f48])).
% 0.09/0.40 fof(f53,plain,(
% 0.09/0.40 greater(age(sK2_skl,sK5_skl),eta)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f48])).
% 0.09/0.40 fof(f54,plain,(
% 0.09/0.40 greater(eta,zero)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f48])).
% 0.09/0.40 fof(f55,plain,(
% 0.09/0.40 ~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)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f48])).
% 0.09/0.40 fof(f58,plain,(
% 0.09/0.40 ~has_endowment(sK2_skl)|~smaller_or_equal(zero,eta)|has_immunity(sK2_skl,sK3_skl)),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f51,f37])).
% 0.09/0.40 fof(f59,plain,(
% 0.09/0.40 ~smaller_or_equal(zero,eta)|has_immunity(sK2_skl,sK3_skl)),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f58,f50])).
% 0.09/0.40 fof(f66,plain,(
% 0.09/0.40 smaller(zero,eta)),
% 0.09/0.40 inference(resolution,[status(thm)],[f25,f54])).
% 0.09/0.40 fof(f68,plain,(
% 0.09/0.40 ~has_endowment(sK2_skl)|has_immunity(sK2_skl,sK4_skl)),
% 0.09/0.40 inference(resolution,[status(thm)],[f52,f37])).
% 0.09/0.40 fof(f69,plain,(
% 0.09/0.40 has_immunity(sK2_skl,sK4_skl)),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f68,f50])).
% 0.09/0.40 fof(f75,plain,(
% 0.09/0.40 smaller_or_equal(zero,eta)),
% 0.09/0.40 inference(resolution,[status(thm)],[f66,f15])).
% 0.09/0.40 fof(f78,plain,(
% 0.09/0.40 ![X0]: (~organization(sK2_skl)|~has_immunity(sK2_skl,X0)|hazard_of_mortality(sK2_skl,X0)=hazard_of_mortality(sK2_skl,sK4_skl))),
% 0.09/0.40 inference(resolution,[status(thm)],[f44,f69])).
% 0.09/0.40 fof(f79,plain,(
% 0.09/0.40 ![X0]: (~has_immunity(sK2_skl,X0)|hazard_of_mortality(sK2_skl,X0)=hazard_of_mortality(sK2_skl,sK4_skl))),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f78,f49])).
% 0.09/0.40 fof(f80,plain,(
% 0.09/0.40 ![X0]: (~organization(sK2_skl)|has_immunity(sK2_skl,X0)|greater(hazard_of_mortality(sK2_skl,X0),hazard_of_mortality(sK2_skl,sK4_skl)))),
% 0.09/0.41 inference(resolution,[status(thm)],[f46,f69])).
% 0.09/0.41 fof(f81,plain,(
% 0.09/0.41 ![X0]: (has_immunity(sK2_skl,X0)|greater(hazard_of_mortality(sK2_skl,X0),hazard_of_mortality(sK2_skl,sK4_skl)))),
% 0.09/0.41 inference(forward_subsumption_resolution,[status(thm)],[f80,f49])).
% 0.09/0.41 fof(f82,plain,(
% 0.09/0.41 has_immunity(sK2_skl,sK3_skl)),
% 0.09/0.41 inference(backward_subsumption_resolution,[status(thm)],[f59,f75])).
% 0.09/0.41 fof(f113,plain,(
% 0.09/0.41 hazard_of_mortality(sK2_skl,sK3_skl)=hazard_of_mortality(sK2_skl,sK4_skl)),
% 0.09/0.41 inference(resolution,[status(thm)],[f79,f82])).
% 0.09/0.41 fof(f115,plain,(
% 0.09/0.41 has_immunity(sK2_skl,sK5_skl)|~hazard_of_mortality(sK2_skl,sK4_skl)=hazard_of_mortality(sK2_skl,sK3_skl)),
% 0.09/0.41 inference(resolution,[status(thm)],[f81,f55])).
% 0.09/0.41 fof(f220,plain,(
% 0.09/0.41 has_immunity(sK2_skl,sK5_skl)|~hazard_of_mortality(sK2_skl,sK3_skl)=hazard_of_mortality(sK2_skl,sK3_skl)),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f113,f115])).
% 0.09/0.41 fof(f221,plain,(
% 0.09/0.41 has_immunity(sK2_skl,sK5_skl)),
% 0.09/0.41 inference(trivial_equality_resolution,[status(thm)],[f220])).
% 0.09/0.41 fof(f225,plain,(
% 0.09/0.41 ~has_endowment(sK2_skl)|~greater(age(sK2_skl,sK5_skl),eta)),
% 0.09/0.41 inference(resolution,[status(thm)],[f221,f38])).
% 0.09/0.41 fof(f228,plain,(
% 0.09/0.41 ~greater(age(sK2_skl,sK5_skl),eta)),
% 0.09/0.41 inference(forward_subsumption_resolution,[status(thm)],[f225,f50])).
% 0.09/0.41 fof(f244,plain,(
% 0.09/0.41 $false),
% 0.09/0.41 inference(forward_subsumption_resolution,[status(thm)],[f228,f53])).
% 0.09/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.42 % Elapsed time: 0.052423 seconds
% 0.09/0.42 % CPU time: 0.199403 seconds
% 0.09/0.42 % Total memory used: 74.988 MB
% 0.09/0.42 % Net memory used: 74.714 MB
%------------------------------------------------------------------------------