%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU382+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 : n026.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 02:22:29 PM UTC 2026
% Result : Theorem 0.13s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU382+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
% 0.13/0.38 % Computer : n026.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Mon Sep 21 06:20:08 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.39 % Drodi V4.1.1
% 0.13/0.41 % Refutation found
% 0.13/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.41 fof(f1,axiom,(
% 0.13/0.41 (! [A] :( rel_str(A)=> ( strict_rel_str(A)=> A = rel_str_of(the_carrier(A),the_InternalRel(A)) ) ) )),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f27,axiom,(
% 0.13/0.41 (! [A] : incl_POSet(A) = rel_str_of(A,inclusion_order(A)) )),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f31,axiom,(
% 0.13/0.41 (! [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) ) )),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f35,axiom,(
% 0.13/0.41 (! [A] :( strict_rel_str(boole_POSet(A))& rel_str(boole_POSet(A)) ) )),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f60,axiom,(
% 0.13/0.41 (! [A,B] :( relation_of2(B,A,A)=> (! [C,D] :( rel_str_of(A,B) = rel_str_of(C,D)=> ( A = C& B = D ) ) )) )),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f78,axiom,(
% 0.13/0.41 (! [A,B,C] :( relation_of2_as_subset(C,A,B)<=> relation_of2(C,A,B) ) )),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f84,conjecture,(
% 0.13/0.41 (! [A] : the_carrier(boole_POSet(A)) = powerset(A) )),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f85,negated_conjecture,(
% 0.13/0.41 ~((! [A] : the_carrier(boole_POSet(A)) = powerset(A) ))),
% 0.13/0.41 inference(negated_conjecture,[status(cth)],[f84])).
% 0.13/0.41 fof(f86,axiom,(
% 0.13/0.41 (! [A] : boole_POSet(A) = incl_POSet(powerset(A)) )),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f91,plain,(
% 0.13/0.41 ![A]: (~rel_str(A)|(~strict_rel_str(A)|A=rel_str_of(the_carrier(A),the_InternalRel(A))))),
% 0.13/0.41 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.13/0.41 fof(f92,plain,(
% 0.13/0.41 ![X0]: (~rel_str(X0)|~strict_rel_str(X0)|X0=rel_str_of(the_carrier(X0),the_InternalRel(X0)))),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f91])).
% 0.13/0.41 fof(f219,plain,(
% 0.13/0.41 ![X0]: (incl_POSet(X0)=rel_str_of(X0,inclusion_order(X0)))),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f27])).
% 0.13/0.41 fof(f224,plain,(
% 0.13/0.41 ((((![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))),
% 0.13/0.41 inference(miniscoping,[status(thm)],[f31])).
% 0.13/0.41 fof(f229,plain,(
% 0.13/0.41 ![X0]: (relation_of2_as_subset(inclusion_order(X0),X0,X0))),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f224])).
% 0.13/0.41 fof(f233,plain,(
% 0.13/0.41 (![A]: strict_rel_str(boole_POSet(A)))&(![A]: rel_str(boole_POSet(A)))),
% 0.13/0.41 inference(miniscoping,[status(thm)],[f35])).
% 0.13/0.41 fof(f234,plain,(
% 0.13/0.41 ![X0]: (strict_rel_str(boole_POSet(X0)))),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f233])).
% 0.13/0.41 fof(f235,plain,(
% 0.13/0.41 ![X0]: (rel_str(boole_POSet(X0)))),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f233])).
% 0.13/0.41 fof(f323,plain,(
% 0.13/0.41 ![A,B]: (~relation_of2(B,A,A)|(![C,D]: (~rel_str_of(A,B)=rel_str_of(C,D)|(A=C&B=D))))),
% 0.13/0.41 inference(pre_NNF_transformation,[status(thm)],[f60])).
% 0.13/0.41 fof(f324,plain,(
% 0.13/0.41 ![X0,X1,X2,X3]: (~relation_of2(X0,X1,X1)|~rel_str_of(X1,X0)=rel_str_of(X2,X3)|X1=X2)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f323])).
% 0.13/0.41 fof(f439,plain,(
% 0.13/0.41 ![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)))),
% 0.13/0.41 inference(NNF_transformation,[status(thm)],[f78])).
% 0.13/0.41 fof(f440,plain,(
% 0.13/0.41 (![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)))),
% 0.13/0.41 inference(miniscoping,[status(thm)],[f439])).
% 0.13/0.41 fof(f441,plain,(
% 0.13/0.41 ![X0,X1,X2]: (~relation_of2_as_subset(X0,X1,X2)|relation_of2(X0,X1,X2))),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f440])).
% 0.13/0.41 fof(f456,plain,(
% 0.13/0.41 (?[A]: ~the_carrier(boole_POSet(A))=powerset(A))),
% 0.13/0.41 inference(pre_NNF_transformation,[status(thm)],[f85])).
% 0.13/0.41 fof(f457,plain,(
% 0.13/0.41 ~the_carrier(boole_POSet(sK21_skl))=powerset(sK21_skl)),
% 0.13/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK21_skl]),skolemize(A,sK21_skl)],[f456])).
% 0.13/0.41 fof(f458,plain,(
% 0.13/0.41 ~the_carrier(boole_POSet(sK21_skl))=powerset(sK21_skl)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f457])).
% 0.13/0.41 fof(f459,plain,(
% 0.13/0.41 ![X0]: (boole_POSet(X0)=incl_POSet(powerset(X0)))),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f86])).
% 0.13/0.41 fof(f557,plain,(
% 0.13/0.41 ![X0]: (~rel_str(boole_POSet(X0))|boole_POSet(X0)=rel_str_of(the_carrier(boole_POSet(X0)),the_InternalRel(boole_POSet(X0))))),
% 0.13/0.41 inference(resolution,[status(thm)],[f234,f92])).
% 0.13/0.41 fof(f558,plain,(
% 0.13/0.41 ![X0]: (boole_POSet(X0)=rel_str_of(the_carrier(boole_POSet(X0)),the_InternalRel(boole_POSet(X0))))),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f557,f235])).
% 0.13/0.41 fof(f608,plain,(
% 0.13/0.41 ![X0]: (relation_of2(inclusion_order(X0),X0,X0))),
% 0.13/0.41 inference(resolution,[status(thm)],[f441,f229])).
% 0.13/0.41 fof(f610,plain,(
% 0.13/0.41 ![X0,X1,X2]: (~rel_str_of(X0,inclusion_order(X0))=rel_str_of(X1,X2)|X0=X1)),
% 0.13/0.41 inference(resolution,[status(thm)],[f608,f324])).
% 0.13/0.41 fof(f614,plain,(
% 0.13/0.41 ![X0,X1,X2]: (~incl_POSet(X0)=rel_str_of(X1,X2)|X0=X1)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f219,f610])).
% 0.13/0.41 fof(f623,plain,(
% 0.13/0.41 ![X0,X1]: (~incl_POSet(X0)=boole_POSet(X1)|X0=the_carrier(boole_POSet(X1)))),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f558,f614])).
% 0.13/0.41 fof(f625,plain,(
% 0.13/0.41 ![X0]: (powerset(X0)=the_carrier(boole_POSet(X0)))),
% 0.13/0.41 inference(resolution,[status(thm)],[f623,f459])).
% 0.13/0.41 fof(f627,plain,(
% 0.13/0.41 ~powerset(sK21_skl)=powerset(sK21_skl)),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f625,f458])).
% 0.13/0.41 fof(f631,plain,(
% 0.13/0.41 $false),
% 0.13/0.41 inference(trivial_equality_resolution,[status(thm)],[f627])).
% 0.13/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.44 % Elapsed time: 0.056493 seconds
% 0.13/0.44 % CPU time: 0.187592 seconds
% 0.13/0.44 % Total memory used: 114.326 MB
% 0.13/0.44 % Net memory used: 114.183 MB
%------------------------------------------------------------------------------