%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU368+2 : 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 : n016.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 02:22:27 PM UTC 2026
% Result : Theorem 198.81s 25.81s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU368+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n016.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Mon Sep 21 06:21:07 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.27/0.60 % Drodi V4.1.1
% 198.81/25.81 % Refutation found
% 198.81/25.81 % SZS status Theorem for theBenchmark: Theorem is valid
% 198.81/25.81 % SZS output start CNFRefutation for theBenchmark
% 198.81/25.81 fof(f1,axiom,(
% 198.81/25.81 (! [A] :( rel_str(A)=> ( strict_rel_str(A)=> A = rel_str_of(the_carrier(A),the_InternalRel(A)) ) ) )),
% 198.81/25.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 198.81/25.81 fof(f98,axiom,(
% 198.81/25.81 (! [A] : incl_POSet(A) = rel_str_of(A,inclusion_order(A)) )),
% 198.81/25.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 198.81/25.81 fof(f196,axiom,(
% 198.81/25.81 (! [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) ) )),
% 198.81/25.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 198.81/25.81 fof(f211,axiom,(
% 198.81/25.81 (! [A] :( strict_rel_str(incl_POSet(A))& rel_str(incl_POSet(A)) ) )),
% 198.81/25.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 198.81/25.81 fof(f360,axiom,(
% 198.81/25.81 (! [A,B] :( relation_of2(B,A,A)=> (! [C,D] :( rel_str_of(A,B) = rel_str_of(C,D)=> ( A = C& B = D ) ) )) )),
% 198.81/25.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 198.81/25.81 fof(f433,axiom,(
% 198.81/25.81 (! [A] : inclusion_order(A) = inclusion_relation(A) )),
% 198.81/25.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 198.81/25.81 fof(f448,axiom,(
% 198.81/25.81 (! [A,B,C] :( relation_of2_as_subset(C,A,B)<=> relation_of2(C,A,B) ) )),
% 198.81/25.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 198.81/25.81 fof(f561,conjecture,(
% 198.81/25.81 (! [A] :( the_carrier(incl_POSet(A)) = A& the_InternalRel(incl_POSet(A)) = inclusion_order(A) ) )),
% 198.81/25.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 198.81/25.81 fof(f562,negated_conjecture,(
% 198.81/25.81 ~((! [A] :( the_carrier(incl_POSet(A)) = A& the_InternalRel(incl_POSet(A)) = inclusion_order(A) ) ))),
% 198.81/25.81 inference(negated_conjecture,[status(cth)],[f561])).
% 198.81/25.81 fof(f723,plain,(
% 198.81/25.81 ![A]: (~rel_str(A)|(~strict_rel_str(A)|A=rel_str_of(the_carrier(A),the_InternalRel(A))))),
% 198.81/25.81 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 198.81/25.81 fof(f724,plain,(
% 198.81/25.81 ![X0]: (~rel_str(X0)|~strict_rel_str(X0)|X0=rel_str_of(the_carrier(X0),the_InternalRel(X0)))),
% 198.81/25.81 inference(cnf_transformation,[status(thm)],[f723])).
% 198.81/25.81 fof(f1224,plain,(
% 198.81/25.81 ![X0]: (incl_POSet(X0)=rel_str_of(X0,inclusion_order(X0)))),
% 198.81/25.81 inference(cnf_transformation,[status(thm)],[f98])).
% 198.81/25.81 fof(f1740,plain,(
% 198.81/25.81 ((((![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))),
% 198.81/25.81 inference(miniscoping,[status(thm)],[f196])).
% 198.81/25.81 fof(f1745,plain,(
% 198.81/25.81 ![X0]: (relation_of2_as_subset(inclusion_order(X0),X0,X0))),
% 198.81/25.81 inference(cnf_transformation,[status(thm)],[f1740])).
% 198.81/25.81 fof(f1770,plain,(
% 198.81/25.81 (![A]: strict_rel_str(incl_POSet(A)))&(![A]: rel_str(incl_POSet(A)))),
% 198.81/25.81 inference(miniscoping,[status(thm)],[f211])).
% 198.81/25.81 fof(f1771,plain,(
% 198.81/25.81 ![X0]: (strict_rel_str(incl_POSet(X0)))),
% 198.81/25.81 inference(cnf_transformation,[status(thm)],[f1770])).
% 198.81/25.81 fof(f1772,plain,(
% 198.81/25.81 ![X0]: (rel_str(incl_POSet(X0)))),
% 198.81/25.81 inference(cnf_transformation,[status(thm)],[f1770])).
% 198.81/25.81 fof(f2223,plain,(
% 198.81/25.81 ![A,B]: (~relation_of2(B,A,A)|(![C,D]: (~rel_str_of(A,B)=rel_str_of(C,D)|(A=C&B=D))))),
% 198.81/25.81 inference(pre_NNF_transformation,[status(thm)],[f360])).
% 198.81/25.81 fof(f2224,plain,(
% 198.81/25.81 ![X0,X1,X2,X3]: (~relation_of2(X0,X1,X1)|~rel_str_of(X1,X0)=rel_str_of(X2,X3)|X1=X2)),
% 198.81/25.81 inference(cnf_transformation,[status(thm)],[f2223])).
% 198.81/25.81 fof(f2225,plain,(
% 198.81/25.81 ![X0,X1,X2,X3]: (~relation_of2(X0,X1,X1)|~rel_str_of(X1,X0)=rel_str_of(X2,X3)|X0=X3)),
% 198.81/25.81 inference(cnf_transformation,[status(thm)],[f2223])).
% 198.81/25.81 fof(f2522,plain,(
% 198.81/25.81 ![X0]: (inclusion_order(X0)=inclusion_relation(X0))),
% 198.81/25.81 inference(cnf_transformation,[status(thm)],[f433])).
% 198.81/25.81 fof(f2550,plain,(
% 198.81/25.81 ![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)))),
% 198.81/25.81 inference(NNF_transformation,[status(thm)],[f448])).
% 198.81/25.81 fof(f2551,plain,(
% 198.81/25.81 (![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)))),
% 198.81/25.81 inference(miniscoping,[status(thm)],[f2550])).
% 198.81/25.81 fof(f2552,plain,(
% 198.81/25.81 ![X0,X1,X2]: (~relation_of2_as_subset(X0,X1,X2)|relation_of2(X0,X1,X2))),
% 198.81/25.81 inference(cnf_transformation,[status(thm)],[f2551])).
% 198.81/25.81 fof(f3293,plain,(
% 198.81/25.81 (?[A]: (~the_carrier(incl_POSet(A))=A|~the_InternalRel(incl_POSet(A))=inclusion_order(A)))),
% 198.81/25.81 inference(pre_NNF_transformation,[status(thm)],[f562])).
% 198.81/25.81 fof(f3294,plain,(
% 198.81/25.81 (?[A]: ~the_carrier(incl_POSet(A))=A)|(?[A]: ~the_InternalRel(incl_POSet(A))=inclusion_order(A))),
% 198.81/25.81 inference(miniscoping,[status(thm)],[f3293])).
% 198.81/25.81 fof(f3295,plain,(
% 198.81/25.81 ~the_carrier(incl_POSet(sK399_skl))=sK399_skl|~the_InternalRel(incl_POSet(sK400_skl))=inclusion_order(sK400_skl)),
% 198.81/25.81 inference(skolemize,[status(esa),new_symbols(skolem,[sK399_skl,sK400_skl]),skolemize(A,sK399_skl),skolemize(A,sK400_skl)],[f3294])).
% 198.81/25.81 fof(f3296,plain,(
% 198.81/25.81 ~the_carrier(incl_POSet(sK399_skl))=sK399_skl|~the_InternalRel(incl_POSet(sK400_skl))=inclusion_order(sK400_skl)),
% 198.81/25.81 inference(cnf_transformation,[status(thm)],[f3295])).
% 198.81/25.81 fof(f4539,definition,(
% 198.81/25.81 sQ31_spl <=> (the_carrier(incl_POSet(sK399_skl))=sK399_skl)),
% 198.81/25.81 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 198.81/25.81 fof(f4541,plain,(
% 198.81/25.81 ~the_carrier(incl_POSet(sK399_skl))=sK399_skl|sQ31_spl),
% 198.81/25.81 inference(component_clause,[status(thm)],[f4539])).
% 198.81/25.81 fof(f4542,definition,(
% 198.81/25.81 sQ32_spl <=> (the_InternalRel(incl_POSet(sK400_skl))=inclusion_order(sK400_skl))),
% 198.81/25.81 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 198.81/25.81 fof(f4544,plain,(
% 198.81/25.81 ~the_InternalRel(incl_POSet(sK400_skl))=inclusion_order(sK400_skl)|sQ32_spl),
% 198.81/25.81 inference(component_clause,[status(thm)],[f4542])).
% 198.81/25.81 fof(f4545,plain,(
% 198.81/25.81 ~sQ31_spl|~sQ32_spl),
% 198.81/25.81 inference(split_clause,[status(thm)],[f3296,f4539,f4542])).
% 198.81/25.81 fof(f4865,plain,(
% 198.81/25.81 ![X0]: (relation_of2_as_subset(inclusion_relation(X0),X0,X0))),
% 198.81/25.81 inference(backward_demodulation,[status(thm)],[f2522,f1745])).
% 198.81/25.81 fof(f4870,plain,(
% 198.81/25.81 ![X0]: (incl_POSet(X0)=rel_str_of(X0,inclusion_relation(X0)))),
% 198.81/25.81 inference(backward_demodulation,[status(thm)],[f2522,f1224])).
% 198.81/25.81 fof(f6303,plain,(
% 198.81/25.81 ![X0]: (~rel_str(incl_POSet(X0))|incl_POSet(X0)=rel_str_of(the_carrier(incl_POSet(X0)),the_InternalRel(incl_POSet(X0))))),
% 198.81/25.81 inference(resolution,[status(thm)],[f1771,f724])).
% 198.81/25.81 fof(f6304,plain,(
% 198.81/25.81 ![X0]: (incl_POSet(X0)=rel_str_of(the_carrier(incl_POSet(X0)),the_InternalRel(incl_POSet(X0))))),
% 198.81/25.81 inference(forward_subsumption_resolution,[status(thm)],[f6303,f1772])).
% 198.81/25.81 fof(f10003,plain,(
% 198.81/25.81 ~the_InternalRel(incl_POSet(sK400_skl))=inclusion_relation(sK400_skl)|sQ32_spl),
% 198.81/25.81 inference(forward_demodulation,[status(thm)],[f2522,f4544])).
% 198.81/25.81 fof(f39408,plain,(
% 198.81/25.81 ![X0]: (relation_of2(inclusion_relation(X0),X0,X0))),
% 198.81/25.81 inference(resolution,[status(thm)],[f2552,f4865])).
% 198.81/25.81 fof(f39422,plain,(
% 198.81/25.81 ![X0,X1,X2]: (~rel_str_of(X0,inclusion_relation(X0))=rel_str_of(X1,X2)|inclusion_relation(X0)=X2)),
% 198.81/25.81 inference(resolution,[status(thm)],[f39408,f2225])).
% 198.81/25.81 fof(f39423,plain,(
% 198.81/25.81 ![X0,X1,X2]: (~rel_str_of(X0,inclusion_relation(X0))=rel_str_of(X1,X2)|X0=X1)),
% 198.81/25.81 inference(resolution,[status(thm)],[f39408,f2224])).
% 198.81/25.81 fof(f39430,plain,(
% 198.81/25.81 ![X0,X1,X2]: (~incl_POSet(X0)=rel_str_of(X1,X2)|inclusion_relation(X0)=X2)),
% 198.81/25.81 inference(forward_demodulation,[status(thm)],[f4870,f39422])).
% 198.81/25.81 fof(f39431,plain,(
% 198.81/25.81 ![X0,X1,X2]: (~incl_POSet(X0)=rel_str_of(X1,X2)|X0=X1)),
% 198.81/25.81 inference(forward_demodulation,[status(thm)],[f4870,f39423])).
% 198.81/25.81 fof(f42340,plain,(
% 198.81/25.81 ![X0]: (inclusion_relation(X0)=the_InternalRel(incl_POSet(X0)))),
% 198.81/25.81 inference(resolution,[status(thm)],[f39430,f6304])).
% 198.81/25.81 fof(f42344,plain,(
% 198.81/25.81 ![X0]: (X0=the_carrier(incl_POSet(X0)))),
% 198.81/25.81 inference(resolution,[status(thm)],[f39431,f6304])).
% 198.81/25.81 fof(f42565,plain,(
% 198.81/25.81 ~sK399_skl=sK399_skl|sQ31_spl),
% 198.81/25.81 inference(backward_demodulation,[status(thm)],[f42344,f4541])).
% 198.81/25.81 fof(f42845,plain,(
% 198.81/25.81 $false|sQ31_spl),
% 198.81/25.81 inference(trivial_equality_resolution,[status(thm)],[f42565])).
% 198.81/25.81 fof(f42846,plain,(
% 198.81/25.81 sQ31_spl),
% 198.81/25.81 inference(contradiction_clause,[status(thm)],[f42845])).
% 198.81/25.81 fof(f55245,plain,(
% 198.81/25.81 ~inclusion_relation(sK400_skl)=inclusion_relation(sK400_skl)|sQ32_spl),
% 198.81/25.81 inference(backward_demodulation,[status(thm)],[f42340,f10003])).
% 198.81/25.81 fof(f55268,plain,(
% 198.81/25.81 $false|sQ32_spl),
% 198.81/25.81 inference(trivial_equality_resolution,[status(thm)],[f55245])).
% 199.63/25.90 fof(f55269,plain,(
% 199.63/25.90 sQ32_spl),
% 199.63/25.90 inference(contradiction_clause,[status(thm)],[f55268])).
% 199.63/25.90 fof(f55270,plain,(
% 199.63/25.90 $false),
% 199.63/25.90 inference(sat_refutation,[status(thm)],[f4545,f42846,f55269])).
% 199.63/25.90 % SZS output end CNFRefutation for theBenchmark.p
% 182.07/26.01 % Elapsed time: 25.521187 seconds
% 182.07/26.01 % CPU time: 200.544093 seconds
% 182.07/26.01 % Total memory used: 1.580 GB
% 182.07/26.01 % Net memory used: 1.506 GB
%------------------------------------------------------------------------------