%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU361+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 02:22:25 PM UTC 2026
% Result : Theorem 0.03s 0.32s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SEU361+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.29 % DateTime : Mon Sep 21 06:15:21 UTC 2026
% 0.03/0.29 % CPUTime :
% 0.03/0.30 % Drodi V4.1.1
% 0.03/0.32 % Refutation found
% 0.03/0.32 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.03/0.32 % SZS output start CNFRefutation for theBenchmark
% 0.03/0.32 fof(f3,axiom,(
% 0.03/0.32 (! [A] :( rel_str(A)=> bottom_of_relstr(A) = join_on_relstr(A,empty_set) ) )),
% 0.03/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.32 fof(f5,axiom,(
% 0.03/0.32 (! [A,B] :( rel_str(A)=> element(join_on_relstr(A,B),the_carrier(A)) ) )),
% 0.03/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.32 fof(f22,axiom,(
% 0.03/0.32 (! [A] :( ( antisymmetric_relstr(A)& rel_str(A) )=> (! [B] :( element(B,the_carrier(A))=> (! [C] :( ( ( B = join_on_relstr(A,C)& ex_sup_of_relstr_set(A,C) )=> ( relstr_set_smaller(A,C,B)& (! [D] :( element(D,the_carrier(A))=> ( relstr_set_smaller(A,C,D)=> related(A,B,D) ) ) )) )& ( ( relstr_set_smaller(A,C,B)& (! [D] :( element(D,the_carrier(A))=> ( relstr_set_smaller(A,C,D)=> related(A,B,D) ) ) ))=> ( B = join_on_relstr(A,C)& ex_sup_of_relstr_set(A,C) ) ) ) )) )) )),
% 0.03/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.32 fof(f23,axiom,(
% 0.03/0.32 (! [A] :( ( ~ empty_carrier(A)& antisymmetric_relstr(A)& lower_bounded_relstr(A)& rel_str(A) )=> ( ex_sup_of_relstr_set(A,empty_set)& ex_inf_of_relstr_set(A,the_carrier(A)) ) ) )),
% 0.03/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.32 fof(f24,conjecture,(
% 0.03/0.32 (! [A] :( ( ~ empty_carrier(A)& antisymmetric_relstr(A)& lower_bounded_relstr(A)& rel_str(A) )=> (! [B] :( element(B,the_carrier(A))=> related(A,bottom_of_relstr(A),B) ) )) )),
% 0.03/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.32 fof(f25,negated_conjecture,(
% 0.03/0.32 ~((! [A] :( ( ~ empty_carrier(A)& antisymmetric_relstr(A)& lower_bounded_relstr(A)& rel_str(A) )=> (! [B] :( element(B,the_carrier(A))=> related(A,bottom_of_relstr(A),B) ) )) ))),
% 0.03/0.32 inference(negated_conjecture,[status(cth)],[f24])).
% 0.03/0.32 fof(f27,axiom,(
% 0.03/0.32 (! [A] :( rel_str(A)=> (! [B] :( element(B,the_carrier(A))=> ( relstr_set_smaller(A,empty_set,B)& relstr_element_smaller(A,empty_set,B) ) ) )) )),
% 0.03/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.32 fof(f34,plain,(
% 0.03/0.32 ![A]: (~rel_str(A)|bottom_of_relstr(A)=join_on_relstr(A,empty_set))),
% 0.03/0.32 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.03/0.32 fof(f35,plain,(
% 0.03/0.32 ![X0]: (~rel_str(X0)|bottom_of_relstr(X0)=join_on_relstr(X0,empty_set))),
% 0.03/0.32 inference(cnf_transformation,[status(thm)],[f34])).
% 0.03/0.32 fof(f36,plain,(
% 0.03/0.32 ![A,B]: (~rel_str(A)|element(join_on_relstr(A,B),the_carrier(A)))),
% 0.03/0.32 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.03/0.32 fof(f37,plain,(
% 0.03/0.32 ![A]: (~rel_str(A)|(![B]: element(join_on_relstr(A,B),the_carrier(A))))),
% 0.03/0.32 inference(miniscoping,[status(thm)],[f36])).
% 0.03/0.32 fof(f38,plain,(
% 0.03/0.32 ![X0,X1]: (~rel_str(X0)|element(join_on_relstr(X0,X1),the_carrier(X0)))),
% 0.03/0.32 inference(cnf_transformation,[status(thm)],[f37])).
% 0.03/0.32 fof(f66,plain,(
% 0.03/0.32 ![A]: ((~antisymmetric_relstr(A)|~rel_str(A))|(![B]: (~element(B,the_carrier(A))|(![C]: (((~B=join_on_relstr(A,C)|~ex_sup_of_relstr_set(A,C))|(relstr_set_smaller(A,C,B)&(![D]: (~element(D,the_carrier(A))|(~relstr_set_smaller(A,C,D)|related(A,B,D))))))&((~relstr_set_smaller(A,C,B)|(?[D]: (element(D,the_carrier(A))&(relstr_set_smaller(A,C,D)&~related(A,B,D)))))|(B=join_on_relstr(A,C)&ex_sup_of_relstr_set(A,C))))))))),
% 0.03/0.32 inference(pre_NNF_transformation,[status(thm)],[f22])).
% 0.03/0.32 fof(f67,definition,(
% 0.03/0.32 ![A,B,C,D]: (sP0_prd(D,C,B,A)<=>(element(D,the_carrier(A))&(relstr_set_smaller(A,C,D)&~related(A,B,D))))),
% 0.03/0.32 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.03/0.32 fof(f68,plain,(
% 0.03/0.32 ![A]: ((~antisymmetric_relstr(A)|~rel_str(A))|(![B]: (~element(B,the_carrier(A))|(![C]: (((~B=join_on_relstr(A,C)|~ex_sup_of_relstr_set(A,C))|(relstr_set_smaller(A,C,B)&(![D]: (~element(D,the_carrier(A))|(~relstr_set_smaller(A,C,D)|related(A,B,D))))))&((~relstr_set_smaller(A,C,B)|(?[D]: sP0_prd(D,C,B,A)))|(B=join_on_relstr(A,C)&ex_sup_of_relstr_set(A,C))))))))),
% 0.03/0.32 inference(formula_renaming,[status(thm)],[f66,f67])).
% 0.03/0.32 fof(f69,plain,(
% 0.03/0.32 ![A]: ((~antisymmetric_relstr(A)|~rel_str(A))|(![B]: (~element(B,the_carrier(A))|((![C]: ((~B=join_on_relstr(A,C)|~ex_sup_of_relstr_set(A,C))|(relstr_set_smaller(A,C,B)&(![D]: (~element(D,the_carrier(A))|(~relstr_set_smaller(A,C,D)|related(A,B,D)))))))&(![C]: ((~relstr_set_smaller(A,C,B)|(?[D]: sP0_prd(D,C,B,A)))|(B=join_on_relstr(A,C)&ex_sup_of_relstr_set(A,C))))))))),
% 0.03/0.32 inference(miniscoping,[status(thm)],[f68])).
% 0.03/0.32 fof(f70,plain,(
% 0.03/0.32 ![A]: ((~antisymmetric_relstr(A)|~rel_str(A))|(![B]: (~element(B,the_carrier(A))|((![C]: ((~B=join_on_relstr(A,C)|~ex_sup_of_relstr_set(A,C))|(relstr_set_smaller(A,C,B)&(![D]: (~element(D,the_carrier(A))|(~relstr_set_smaller(A,C,D)|related(A,B,D)))))))&(![C]: ((~relstr_set_smaller(A,C,B)|sP0_prd(sK7_skl(C,B,A),C,B,A))|(B=join_on_relstr(A,C)&ex_sup_of_relstr_set(A,C))))))))),
% 0.03/0.32 inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl]),skolemize(D,sK7_skl(C,B,A))],[f69])).
% 0.03/0.32 fof(f72,plain,(
% 0.03/0.32 ![X0,X1,X2,X3]: (~antisymmetric_relstr(X0)|~rel_str(X0)|~element(X1,the_carrier(X0))|~X1=join_on_relstr(X0,X2)|~ex_sup_of_relstr_set(X0,X2)|~element(X3,the_carrier(X0))|~relstr_set_smaller(X0,X2,X3)|related(X0,X1,X3))),
% 0.03/0.32 inference(cnf_transformation,[status(thm)],[f70])).
% 0.03/0.32 fof(f75,plain,(
% 0.03/0.32 ![A]: ((((empty_carrier(A)|~antisymmetric_relstr(A))|~lower_bounded_relstr(A))|~rel_str(A))|(ex_sup_of_relstr_set(A,empty_set)&ex_inf_of_relstr_set(A,the_carrier(A))))),
% 0.03/0.32 inference(pre_NNF_transformation,[status(thm)],[f23])).
% 0.03/0.32 fof(f76,plain,(
% 0.03/0.32 ![X0]: (empty_carrier(X0)|~antisymmetric_relstr(X0)|~lower_bounded_relstr(X0)|~rel_str(X0)|ex_sup_of_relstr_set(X0,empty_set))),
% 0.03/0.32 inference(cnf_transformation,[status(thm)],[f75])).
% 0.03/0.32 fof(f78,plain,(
% 0.03/0.32 (?[A]: ((((~empty_carrier(A)&antisymmetric_relstr(A))&lower_bounded_relstr(A))&rel_str(A))&(?[B]: (element(B,the_carrier(A))&~related(A,bottom_of_relstr(A),B)))))),
% 0.03/0.32 inference(pre_NNF_transformation,[status(thm)],[f25])).
% 0.03/0.32 fof(f79,plain,(
% 0.03/0.32 ((((~empty_carrier(sK8_skl)&antisymmetric_relstr(sK8_skl))&lower_bounded_relstr(sK8_skl))&rel_str(sK8_skl))&(element(sK9_skl,the_carrier(sK8_skl))&~related(sK8_skl,bottom_of_relstr(sK8_skl),sK9_skl)))),
% 0.03/0.32 inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl,sK9_skl]),skolemize(A,sK8_skl),skolemize(B,sK9_skl)],[f78])).
% 0.03/0.32 fof(f80,plain,(
% 0.03/0.32 ~empty_carrier(sK8_skl)),
% 0.03/0.32 inference(cnf_transformation,[status(thm)],[f79])).
% 0.03/0.32 fof(f81,plain,(
% 0.03/0.32 antisymmetric_relstr(sK8_skl)),
% 0.03/0.32 inference(cnf_transformation,[status(thm)],[f79])).
% 0.03/0.32 fof(f82,plain,(
% 0.03/0.32 lower_bounded_relstr(sK8_skl)),
% 0.03/0.32 inference(cnf_transformation,[status(thm)],[f79])).
% 0.03/0.32 fof(f83,plain,(
% 0.03/0.32 rel_str(sK8_skl)),
% 0.03/0.32 inference(cnf_transformation,[status(thm)],[f79])).
% 0.03/0.32 fof(f84,plain,(
% 0.03/0.32 element(sK9_skl,the_carrier(sK8_skl))),
% 0.03/0.32 inference(cnf_transformation,[status(thm)],[f79])).
% 0.03/0.32 fof(f85,plain,(
% 0.03/0.32 ~related(sK8_skl,bottom_of_relstr(sK8_skl),sK9_skl)),
% 0.03/0.32 inference(cnf_transformation,[status(thm)],[f79])).
% 0.03/0.32 fof(f88,plain,(
% 0.03/0.32 ![A]: (~rel_str(A)|(![B]: (~element(B,the_carrier(A))|(relstr_set_smaller(A,empty_set,B)&relstr_element_smaller(A,empty_set,B)))))),
% 0.03/0.32 inference(pre_NNF_transformation,[status(thm)],[f27])).
% 0.03/0.32 fof(f89,plain,(
% 0.03/0.32 ![X0,X1]: (~rel_str(X0)|~element(X1,the_carrier(X0))|relstr_set_smaller(X0,empty_set,X1))),
% 0.03/0.32 inference(cnf_transformation,[status(thm)],[f88])).
% 0.03/0.32 fof(f104,plain,(
% 0.03/0.32 ![X0,X1,X2]: (~antisymmetric_relstr(X0)|~rel_str(X0)|~element(join_on_relstr(X0,X1),the_carrier(X0))|~ex_sup_of_relstr_set(X0,X1)|~element(X2,the_carrier(X0))|~relstr_set_smaller(X0,X1,X2)|related(X0,join_on_relstr(X0,X1),X2))),
% 0.03/0.32 inference(destructive_equality_resolution,[status(thm)],[f72])).
% 0.03/0.32 fof(f105,plain,(
% 0.03/0.32 bottom_of_relstr(sK8_skl)=join_on_relstr(sK8_skl,empty_set)),
% 0.03/0.32 inference(resolution,[status(thm)],[f35,f83])).
% 0.03/0.32 fof(f107,plain,(
% 0.03/0.32 empty_carrier(sK8_skl)|~antisymmetric_relstr(sK8_skl)|~rel_str(sK8_skl)|ex_sup_of_relstr_set(sK8_skl,empty_set)),
% 0.03/0.32 inference(resolution,[status(thm)],[f76,f82])).
% 0.03/0.32 fof(f108,plain,(
% 0.03/0.32 ~antisymmetric_relstr(sK8_skl)|~rel_str(sK8_skl)|ex_sup_of_relstr_set(sK8_skl,empty_set)),
% 0.03/0.32 inference(forward_subsumption_resolution,[status(thm)],[f107,f80])).
% 0.03/0.32 fof(f112,plain,(
% 0.03/0.32 ![X0,X1,X2]: (~antisymmetric_relstr(X0)|~rel_str(X0)|~ex_sup_of_relstr_set(X0,X1)|~element(X2,the_carrier(X0))|~relstr_set_smaller(X0,X1,X2)|related(X0,join_on_relstr(X0,X1),X2))),
% 0.03/0.32 inference(backward_subsumption_resolution,[status(thm)],[f104,f38])).
% 0.03/0.32 fof(f124,plain,(
% 0.03/0.32 ![X0]: (~antisymmetric_relstr(sK8_skl)|~rel_str(sK8_skl)|~ex_sup_of_relstr_set(sK8_skl,X0)|~relstr_set_smaller(sK8_skl,X0,sK9_skl)|related(sK8_skl,join_on_relstr(sK8_skl,X0),sK9_skl))),
% 0.03/0.32 inference(resolution,[status(thm)],[f112,f84])).
% 0.03/0.32 fof(f127,plain,(
% 0.03/0.32 ![X0]: (~rel_str(sK8_skl)|~ex_sup_of_relstr_set(sK8_skl,X0)|~relstr_set_smaller(sK8_skl,X0,sK9_skl)|related(sK8_skl,join_on_relstr(sK8_skl,X0),sK9_skl))),
% 0.03/0.32 inference(forward_subsumption_resolution,[status(thm)],[f124,f81])).
% 0.03/0.32 fof(f128,plain,(
% 0.03/0.32 ~rel_str(sK8_skl)|ex_sup_of_relstr_set(sK8_skl,empty_set)),
% 0.03/0.32 inference(forward_subsumption_resolution,[status(thm)],[f108,f81])).
% 0.03/0.32 fof(f129,plain,(
% 0.03/0.32 ex_sup_of_relstr_set(sK8_skl,empty_set)),
% 0.03/0.32 inference(resolution,[status(thm)],[f128,f83])).
% 0.03/0.32 fof(f146,plain,(
% 0.03/0.32 ![X0]: (~ex_sup_of_relstr_set(sK8_skl,X0)|~relstr_set_smaller(sK8_skl,X0,sK9_skl)|related(sK8_skl,join_on_relstr(sK8_skl,X0),sK9_skl))),
% 0.03/0.32 inference(forward_subsumption_resolution,[status(thm)],[f127,f83])).
% 0.03/0.32 fof(f173,plain,(
% 0.03/0.32 ~rel_str(sK8_skl)|relstr_set_smaller(sK8_skl,empty_set,sK9_skl)),
% 0.03/0.32 inference(resolution,[status(thm)],[f89,f84])).
% 0.03/0.32 fof(f177,plain,(
% 0.03/0.32 relstr_set_smaller(sK8_skl,empty_set,sK9_skl)),
% 0.03/0.32 inference(forward_subsumption_resolution,[status(thm)],[f173,f83])).
% 0.03/0.32 fof(f187,plain,(
% 0.03/0.32 ~ex_sup_of_relstr_set(sK8_skl,empty_set)|related(sK8_skl,join_on_relstr(sK8_skl,empty_set),sK9_skl)),
% 0.03/0.32 inference(resolution,[status(thm)],[f177,f146])).
% 0.03/0.32 fof(f189,plain,(
% 0.03/0.32 ~ex_sup_of_relstr_set(sK8_skl,empty_set)|related(sK8_skl,bottom_of_relstr(sK8_skl),sK9_skl)),
% 0.03/0.32 inference(forward_demodulation,[status(thm)],[f105,f187])).
% 0.03/0.32 fof(f190,plain,(
% 0.03/0.32 related(sK8_skl,bottom_of_relstr(sK8_skl),sK9_skl)),
% 0.03/0.32 inference(forward_subsumption_resolution,[status(thm)],[f189,f129])).
% 0.03/0.32 fof(f279,plain,(
% 0.03/0.32 $false),
% 0.03/0.32 inference(forward_subsumption_resolution,[status(thm)],[f190,f85])).
% 0.03/0.32 % SZS output end CNFRefutation for theBenchmark.p
% 0.03/0.33 % Elapsed time: 0.031128 seconds
% 0.03/0.33 % CPU time: 0.080792 seconds
% 0.03/0.33 % Total memory used: 74.037 MB
% 0.03/0.33 % Net memory used: 73.888 MB
%------------------------------------------------------------------------------