%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU368+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 : n002.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 02:22:26 PM UTC 2026
% Result : Theorem 0.15s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU368+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n002.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 06:19:01 UTC 2026
% 0.15/0.37 % CPUTime :
% 0.15/0.39 % Drodi V4.1.1
% 0.15/0.41 % Refutation found
% 0.15/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.41 fof(f33,axiom,(
% 0.15/0.41 (! [A,B] :( relation_of2(B,A,A)=> (! [C,D] :( rel_str_of(A,B) = rel_str_of(C,D)=> ( A = C& B = D ) ) )) )),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f34,axiom,(
% 0.15/0.41 (! [A] :( rel_str(A)=> ( strict_rel_str(A)=> A = rel_str_of(the_carrier(A),the_InternalRel(A)) ) ) )),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f38,axiom,(
% 0.15/0.41 (! [A,B,C] :( relation_of2_as_subset(C,A,B)<=> relation_of2(C,A,B) ) )),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f46,axiom,(
% 0.15/0.41 (! [A] : inclusion_order(A) = inclusion_relation(A) )),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f47,axiom,(
% 0.15/0.41 (! [A] :( reflexive(inclusion_order(A))& antisymmetric(inclusion_order(A))& transitive(inclusion_order(A))& v1_partfun1(inclusion_order(A),A,A)& relation_of2_as_subset(inclusion_order(A),A,A) ) )),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f48,axiom,(
% 0.15/0.41 (! [A] :( strict_rel_str(incl_POSet(A))& rel_str(incl_POSet(A)) ) )),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f52,axiom,(
% 0.15/0.41 (! [A] : incl_POSet(A) = rel_str_of(A,inclusion_order(A)) )),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f53,conjecture,(
% 0.15/0.41 (! [A] :( the_carrier(incl_POSet(A)) = A& the_InternalRel(incl_POSet(A)) = inclusion_order(A) ) )),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f54,negated_conjecture,(
% 0.15/0.41 ~((! [A] :( the_carrier(incl_POSet(A)) = A& the_InternalRel(incl_POSet(A)) = inclusion_order(A) ) ))),
% 0.15/0.41 inference(negated_conjecture,[status(cth)],[f53])).
% 0.15/0.41 fof(f133,plain,(
% 0.15/0.41 ![A,B]: (~relation_of2(B,A,A)|(![C,D]: (~rel_str_of(A,B)=rel_str_of(C,D)|(A=C&B=D))))),
% 0.15/0.41 inference(pre_NNF_transformation,[status(thm)],[f33])).
% 0.15/0.41 fof(f134,plain,(
% 0.15/0.41 ![X0,X1,X2,X3]: (~relation_of2(X0,X1,X1)|~rel_str_of(X1,X0)=rel_str_of(X2,X3)|X1=X2)),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f133])).
% 0.15/0.41 fof(f135,plain,(
% 0.15/0.41 ![X0,X1,X2,X3]: (~relation_of2(X0,X1,X1)|~rel_str_of(X1,X0)=rel_str_of(X2,X3)|X0=X3)),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f133])).
% 0.15/0.41 fof(f136,plain,(
% 0.15/0.41 ![A]: (~rel_str(A)|(~strict_rel_str(A)|A=rel_str_of(the_carrier(A),the_InternalRel(A))))),
% 0.15/0.41 inference(pre_NNF_transformation,[status(thm)],[f34])).
% 0.15/0.41 fof(f137,plain,(
% 0.15/0.41 ![X0]: (~rel_str(X0)|~strict_rel_str(X0)|X0=rel_str_of(the_carrier(X0),the_InternalRel(X0)))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f136])).
% 0.15/0.41 fof(f144,plain,(
% 0.15/0.41 ![A,B,C]: ((~relation_of2_as_subset(C,A,B)|relation_of2(C,A,B))&(relation_of2_as_subset(C,A,B)|~relation_of2(C,A,B)))),
% 0.15/0.41 inference(NNF_transformation,[status(thm)],[f38])).
% 0.15/0.41 fof(f145,plain,(
% 0.15/0.41 (![A,B,C]: (~relation_of2_as_subset(C,A,B)|relation_of2(C,A,B)))&(![A,B,C]: (relation_of2_as_subset(C,A,B)|~relation_of2(C,A,B)))),
% 0.15/0.41 inference(miniscoping,[status(thm)],[f144])).
% 0.15/0.41 fof(f146,plain,(
% 0.15/0.41 ![X0,X1,X2]: (~relation_of2_as_subset(X0,X1,X2)|relation_of2(X0,X1,X2))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f145])).
% 0.15/0.41 fof(f165,plain,(
% 0.15/0.41 ![X0]: (inclusion_order(X0)=inclusion_relation(X0))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f46])).
% 0.15/0.41 fof(f166,plain,(
% 0.15/0.41 ((((![A]: reflexive(inclusion_order(A)))&(![A]: antisymmetric(inclusion_order(A))))&(![A]: transitive(inclusion_order(A))))&(![A]: v1_partfun1(inclusion_order(A),A,A)))&(![A]: relation_of2_as_subset(inclusion_order(A),A,A))),
% 0.15/0.41 inference(miniscoping,[status(thm)],[f47])).
% 0.15/0.41 fof(f171,plain,(
% 0.15/0.41 ![X0]: (relation_of2_as_subset(inclusion_order(X0),X0,X0))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f166])).
% 0.15/0.41 fof(f172,plain,(
% 0.15/0.41 (![A]: strict_rel_str(incl_POSet(A)))&(![A]: rel_str(incl_POSet(A)))),
% 0.15/0.41 inference(miniscoping,[status(thm)],[f48])).
% 0.15/0.41 fof(f173,plain,(
% 0.15/0.41 ![X0]: (strict_rel_str(incl_POSet(X0)))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f172])).
% 0.15/0.41 fof(f174,plain,(
% 0.15/0.41 ![X0]: (rel_str(incl_POSet(X0)))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f172])).
% 0.15/0.41 fof(f182,plain,(
% 0.15/0.41 ![X0]: (incl_POSet(X0)=rel_str_of(X0,inclusion_order(X0)))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f52])).
% 0.15/0.41 fof(f183,plain,(
% 0.15/0.41 (?[A]: (~the_carrier(incl_POSet(A))=A|~the_InternalRel(incl_POSet(A))=inclusion_order(A)))),
% 0.15/0.41 inference(pre_NNF_transformation,[status(thm)],[f54])).
% 0.15/0.41 fof(f184,plain,(
% 0.15/0.41 (?[A]: ~the_carrier(incl_POSet(A))=A)|(?[A]: ~the_InternalRel(incl_POSet(A))=inclusion_order(A))),
% 0.15/0.41 inference(miniscoping,[status(thm)],[f183])).
% 0.15/0.41 fof(f185,plain,(
% 0.15/0.41 ~the_carrier(incl_POSet(sK13_skl))=sK13_skl|~the_InternalRel(incl_POSet(sK14_skl))=inclusion_order(sK14_skl)),
% 0.15/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK13_skl,sK14_skl]),skolemize(A,sK13_skl),skolemize(A,sK14_skl)],[f184])).
% 0.15/0.41 fof(f186,plain,(
% 0.15/0.41 ~the_carrier(incl_POSet(sK13_skl))=sK13_skl|~the_InternalRel(incl_POSet(sK14_skl))=inclusion_order(sK14_skl)),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f185])).
% 0.15/0.41 fof(f191,plain,(
% 0.15/0.41 ![X0]: (relation_of2_as_subset(inclusion_relation(X0),X0,X0))),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f165,f171])).
% 0.15/0.41 fof(f192,plain,(
% 0.15/0.41 ![X0]: (incl_POSet(X0)=rel_str_of(X0,inclusion_relation(X0)))),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f165,f182])).
% 0.15/0.41 fof(f193,plain,(
% 0.15/0.41 ~the_carrier(incl_POSet(sK13_skl))=sK13_skl|~the_InternalRel(incl_POSet(sK14_skl))=inclusion_relation(sK14_skl)),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f165,f186])).
% 0.15/0.41 fof(f198,plain,(
% 0.15/0.41 ![X0]: (~rel_str(incl_POSet(X0))|incl_POSet(X0)=rel_str_of(the_carrier(incl_POSet(X0)),the_InternalRel(incl_POSet(X0))))),
% 0.15/0.41 inference(resolution,[status(thm)],[f173,f137])).
% 0.15/0.41 fof(f199,plain,(
% 0.15/0.41 ![X0]: (incl_POSet(X0)=rel_str_of(the_carrier(incl_POSet(X0)),the_InternalRel(incl_POSet(X0))))),
% 0.15/0.41 inference(forward_subsumption_resolution,[status(thm)],[f198,f174])).
% 0.15/0.41 fof(f256,plain,(
% 0.15/0.41 ![X0]: (relation_of2(inclusion_relation(X0),X0,X0))),
% 0.15/0.41 inference(resolution,[status(thm)],[f146,f191])).
% 0.15/0.41 fof(f257,plain,(
% 0.15/0.41 ![X0,X1,X2]: (~rel_str_of(X0,inclusion_relation(X0))=rel_str_of(X1,X2)|inclusion_relation(X0)=X2)),
% 0.15/0.41 inference(resolution,[status(thm)],[f256,f135])).
% 0.15/0.41 fof(f258,plain,(
% 0.15/0.41 ![X0,X1,X2]: (~rel_str_of(X0,inclusion_relation(X0))=rel_str_of(X1,X2)|X0=X1)),
% 0.15/0.41 inference(resolution,[status(thm)],[f256,f134])).
% 0.15/0.41 fof(f260,plain,(
% 0.15/0.41 ![X0,X1,X2]: (~incl_POSet(X0)=rel_str_of(X1,X2)|inclusion_relation(X0)=X2)),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f192,f257])).
% 0.15/0.41 fof(f261,plain,(
% 0.15/0.41 ![X0,X1,X2]: (~incl_POSet(X0)=rel_str_of(X1,X2)|X0=X1)),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f192,f258])).
% 0.15/0.41 fof(f271,plain,(
% 0.15/0.41 ![X0]: (X0=the_carrier(incl_POSet(X0)))),
% 0.15/0.41 inference(resolution,[status(thm)],[f261,f199])).
% 0.15/0.41 fof(f277,plain,(
% 0.15/0.41 ~sK13_skl=sK13_skl|~the_InternalRel(incl_POSet(sK14_skl))=inclusion_relation(sK14_skl)),
% 0.15/0.41 inference(backward_demodulation,[status(thm)],[f271,f193])).
% 0.15/0.41 fof(f278,plain,(
% 0.15/0.41 ![X0]: (incl_POSet(X0)=rel_str_of(X0,the_InternalRel(incl_POSet(X0))))),
% 0.15/0.41 inference(backward_demodulation,[status(thm)],[f271,f199])).
% 0.15/0.41 fof(f280,plain,(
% 0.15/0.41 ~the_InternalRel(incl_POSet(sK14_skl))=inclusion_relation(sK14_skl)),
% 0.15/0.41 inference(trivial_equality_resolution,[status(thm)],[f277])).
% 0.15/0.41 fof(f298,plain,(
% 0.15/0.41 ![X0]: (inclusion_relation(X0)=the_InternalRel(incl_POSet(X0)))),
% 0.15/0.41 inference(resolution,[status(thm)],[f260,f278])).
% 0.15/0.41 fof(f304,plain,(
% 0.15/0.41 ~inclusion_relation(sK14_skl)=inclusion_relation(sK14_skl)),
% 0.15/0.41 inference(backward_demodulation,[status(thm)],[f298,f280])).
% 0.15/0.41 fof(f307,plain,(
% 0.15/0.41 $false),
% 0.15/0.41 inference(trivial_equality_resolution,[status(thm)],[f304])).
% 0.15/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.44 % Elapsed time: 0.065530 seconds
% 0.15/0.44 % CPU time: 0.184692 seconds
% 0.15/0.44 % Total memory used: 94.613 MB
% 0.15/0.44 % Net memory used: 94.552 MB
%------------------------------------------------------------------------------