%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU239+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 02:22:06 PM UTC 2026
% Result : Theorem 0.17s 0.51s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU239+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n007.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Mon Sep 21 06:00:05 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.48 % Drodi V4.1.1
% 0.17/0.51 % Refutation found
% 0.17/0.51 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.51 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.51 fof(f6,axiom,(
% 0.17/0.51 (! [A] :( relation(A)=> (! [B] :( is_reflexive_in(A,B)<=> (! [C] :( in(C,B)=> in(ordered_pair(C,C),A) ) )) )) )),
% 0.17/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.51 fof(f9,axiom,(
% 0.17/0.51 (! [A] :( relation(A)=> ( reflexive(A)<=> is_reflexive_in(A,relation_field(A)) ) ) )),
% 0.17/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.51 fof(f25,conjecture,(
% 0.17/0.51 (! [A] :( relation(A)=> ( reflexive(A)<=> (! [B] :( in(B,relation_field(A))=> in(ordered_pair(B,B),A) ) )) ) )),
% 0.17/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.51 fof(f26,negated_conjecture,(
% 0.17/0.51 ~((! [A] :( relation(A)=> ( reflexive(A)<=> (! [B] :( in(B,relation_field(A))=> in(ordered_pair(B,B),A) ) )) ) ))),
% 0.17/0.51 inference(negated_conjecture,[status(cth)],[f25])).
% 0.17/0.51 fof(f48,plain,(
% 0.17/0.51 ![A]: (~relation(A)|(![B]: (is_reflexive_in(A,B)<=>(![C]: (~in(C,B)|in(ordered_pair(C,C),A))))))),
% 0.17/0.51 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.17/0.51 fof(f49,plain,(
% 0.17/0.51 ![A]: (~relation(A)|(![B]: ((~is_reflexive_in(A,B)|(![C]: (~in(C,B)|in(ordered_pair(C,C),A))))&(is_reflexive_in(A,B)|(?[C]: (in(C,B)&~in(ordered_pair(C,C),A)))))))),
% 0.17/0.51 inference(NNF_transformation,[status(thm)],[f48])).
% 0.17/0.51 fof(f50,plain,(
% 0.17/0.51 ![A]: (~relation(A)|((![B]: (~is_reflexive_in(A,B)|(![C]: (~in(C,B)|in(ordered_pair(C,C),A)))))&(![B]: (is_reflexive_in(A,B)|(?[C]: (in(C,B)&~in(ordered_pair(C,C),A)))))))),
% 0.17/0.51 inference(miniscoping,[status(thm)],[f49])).
% 0.17/0.51 fof(f51,plain,(
% 0.17/0.51 ![A]: (~relation(A)|((![B]: (~is_reflexive_in(A,B)|(![C]: (~in(C,B)|in(ordered_pair(C,C),A)))))&(![B]: (is_reflexive_in(A,B)|(in(sK0_skl(B,A),B)&~in(ordered_pair(sK0_skl(B,A),sK0_skl(B,A)),A))))))),
% 0.17/0.51 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(C,sK0_skl(B,A))],[f50])).
% 0.17/0.51 fof(f52,plain,(
% 0.17/0.51 ![X0,X1,X2]: (~relation(X0)|~is_reflexive_in(X0,X1)|~in(X2,X1)|in(ordered_pair(X2,X2),X0))),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f51])).
% 0.17/0.51 fof(f53,plain,(
% 0.17/0.51 ![X0,X1]: (~relation(X0)|is_reflexive_in(X0,X1)|in(sK0_skl(X1,X0),X1))),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f51])).
% 0.17/0.51 fof(f54,plain,(
% 0.17/0.51 ![X0,X1]: (~relation(X0)|is_reflexive_in(X0,X1)|~in(ordered_pair(sK0_skl(X1,X0),sK0_skl(X1,X0)),X0))),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f51])).
% 0.17/0.51 fof(f58,plain,(
% 0.17/0.51 ![A]: (~relation(A)|(reflexive(A)<=>is_reflexive_in(A,relation_field(A))))),
% 0.17/0.51 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.17/0.51 fof(f59,plain,(
% 0.17/0.51 ![A]: (~relation(A)|((~reflexive(A)|is_reflexive_in(A,relation_field(A)))&(reflexive(A)|~is_reflexive_in(A,relation_field(A)))))),
% 0.17/0.51 inference(NNF_transformation,[status(thm)],[f58])).
% 0.17/0.51 fof(f60,plain,(
% 0.17/0.51 ![X0]: (~relation(X0)|~reflexive(X0)|is_reflexive_in(X0,relation_field(X0)))),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f59])).
% 0.17/0.51 fof(f61,plain,(
% 0.17/0.51 ![X0]: (~relation(X0)|reflexive(X0)|~is_reflexive_in(X0,relation_field(X0)))),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f59])).
% 0.17/0.51 fof(f74,plain,(
% 0.17/0.51 (?[A]: (relation(A)&(reflexive(A)<~>(![B]: (~in(B,relation_field(A))|in(ordered_pair(B,B),A))))))),
% 0.17/0.51 inference(pre_NNF_transformation,[status(thm)],[f26])).
% 0.17/0.51 fof(f75,plain,(
% 0.17/0.51 ?[A]: (relation(A)&((reflexive(A)|(![B]: (~in(B,relation_field(A))|in(ordered_pair(B,B),A))))&(~reflexive(A)|(?[B]: (in(B,relation_field(A))&~in(ordered_pair(B,B),A))))))),
% 0.17/0.51 inference(NNF_transformation,[status(thm)],[f74])).
% 0.17/0.51 fof(f76,plain,(
% 0.17/0.51 (relation(sK2_skl)&((reflexive(sK2_skl)|(![B]: (~in(B,relation_field(sK2_skl))|in(ordered_pair(B,B),sK2_skl))))&(~reflexive(sK2_skl)|(in(sK3_skl,relation_field(sK2_skl))&~in(ordered_pair(sK3_skl,sK3_skl),sK2_skl)))))),
% 0.17/0.51 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(A,sK2_skl),skolemize(B,sK3_skl)],[f75])).
% 0.17/0.51 fof(f77,plain,(
% 0.17/0.51 relation(sK2_skl)),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f76])).
% 0.17/0.51 fof(f78,plain,(
% 0.17/0.51 ![X0]: (reflexive(sK2_skl)|~in(X0,relation_field(sK2_skl))|in(ordered_pair(X0,X0),sK2_skl))),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f76])).
% 0.17/0.51 fof(f79,plain,(
% 0.17/0.51 ~reflexive(sK2_skl)|in(sK3_skl,relation_field(sK2_skl))),
% 0.17/0.52 inference(cnf_transformation,[status(thm)],[f76])).
% 0.17/0.52 fof(f80,plain,(
% 0.17/0.52 ~reflexive(sK2_skl)|~in(ordered_pair(sK3_skl,sK3_skl),sK2_skl)),
% 0.17/0.52 inference(cnf_transformation,[status(thm)],[f76])).
% 0.17/0.52 fof(f128,plain,(
% 0.17/0.52 ![X0]: (~relation(sK2_skl)|is_reflexive_in(sK2_skl,X0)|reflexive(sK2_skl)|~in(sK0_skl(X0,sK2_skl),relation_field(sK2_skl)))),
% 0.17/0.52 inference(resolution,[status(thm)],[f54,f78])).
% 0.17/0.52 fof(f129,plain,(
% 0.17/0.52 ![X0]: (is_reflexive_in(sK2_skl,X0)|reflexive(sK2_skl)|~in(sK0_skl(X0,sK2_skl),relation_field(sK2_skl)))),
% 0.17/0.52 inference(forward_subsumption_resolution,[status(thm)],[f128,f77])).
% 0.17/0.52 fof(f130,plain,(
% 0.17/0.52 is_reflexive_in(sK2_skl,relation_field(sK2_skl))|reflexive(sK2_skl)|~relation(sK2_skl)|is_reflexive_in(sK2_skl,relation_field(sK2_skl))),
% 0.17/0.52 inference(resolution,[status(thm)],[f129,f53])).
% 0.17/0.52 fof(f131,plain,(
% 0.17/0.52 is_reflexive_in(sK2_skl,relation_field(sK2_skl))|reflexive(sK2_skl)|~relation(sK2_skl)),
% 0.17/0.52 inference(duplicate_literals_removal,[status(thm)],[f130])).
% 0.17/0.52 fof(f132,plain,(
% 0.17/0.52 reflexive(sK2_skl)|~relation(sK2_skl)),
% 0.17/0.52 inference(forward_subsumption_resolution,[status(thm)],[f131,f61])).
% 0.17/0.52 fof(f150,plain,(
% 0.17/0.52 ~in(ordered_pair(sK3_skl,sK3_skl),sK2_skl)),
% 0.17/0.52 inference(backward_subsumption_resolution,[status(thm)],[f80,f152])).
% 0.17/0.52 fof(f151,plain,(
% 0.17/0.52 in(sK3_skl,relation_field(sK2_skl))),
% 0.17/0.52 inference(backward_subsumption_resolution,[status(thm)],[f79,f152])).
% 0.17/0.52 fof(f152,plain,(
% 0.17/0.52 reflexive(sK2_skl)),
% 0.17/0.52 inference(forward_subsumption_resolution,[status(thm)],[f132,f77])).
% 0.17/0.52 fof(f153,plain,(
% 0.17/0.52 ~relation(sK2_skl)|is_reflexive_in(sK2_skl,relation_field(sK2_skl))),
% 0.17/0.52 inference(resolution,[status(thm)],[f152,f60])).
% 0.17/0.52 fof(f154,plain,(
% 0.17/0.52 is_reflexive_in(sK2_skl,relation_field(sK2_skl))),
% 0.17/0.52 inference(forward_subsumption_resolution,[status(thm)],[f153,f77])).
% 0.17/0.52 fof(f158,plain,(
% 0.17/0.52 ![X0]: (~relation(sK2_skl)|~in(X0,relation_field(sK2_skl))|in(ordered_pair(X0,X0),sK2_skl))),
% 0.17/0.52 inference(resolution,[status(thm)],[f154,f52])).
% 0.17/0.52 fof(f159,plain,(
% 0.17/0.52 ![X0]: (~in(X0,relation_field(sK2_skl))|in(ordered_pair(X0,X0),sK2_skl))),
% 0.17/0.52 inference(forward_subsumption_resolution,[status(thm)],[f158,f77])).
% 0.17/0.52 fof(f181,plain,(
% 0.17/0.52 in(ordered_pair(sK3_skl,sK3_skl),sK2_skl)),
% 0.17/0.52 inference(resolution,[status(thm)],[f159,f151])).
% 0.17/0.52 fof(f183,plain,(
% 0.17/0.52 $false),
% 0.17/0.52 inference(forward_subsumption_resolution,[status(thm)],[f181,f150])).
% 0.17/0.52 % SZS output end CNFRefutation for theBenchmark.p
% 0.17/0.56 % Elapsed time: 0.100871 seconds
% 0.17/0.56 % CPU time: 0.122979 seconds
% 0.17/0.56 % Total memory used: 16.237 MB
% 0.17/0.56 % Net memory used: 16.223 MB
%------------------------------------------------------------------------------