%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU255+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 : n018.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 02:22:09 PM UTC 2026
% Result : Theorem 0.10s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU255+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n018.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 06:05:44 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.40 % Refutation found
% 0.10/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.40 fof(f11,axiom,(
% 0.10/0.40 (! [A,B] :( relation(A)=> relation(relation_restriction(A,B)) ) )),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f20,axiom,(
% 0.10/0.40 (! [A] :( relation(A)=> ( antisymmetric(A)<=> (! [B,C] :( ( in(ordered_pair(B,C),A)& in(ordered_pair(C,B),A) )=> B = C ) )) ) )),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f26,axiom,(
% 0.10/0.40 (! [A,B,C] :( relation(C)=> ( in(A,relation_restriction(C,B))<=> ( in(A,C)& in(A,cartesian_product2(B,B)) ) ) ) )),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f28,conjecture,(
% 0.10/0.40 (! [A,B] :( relation(B)=> ( antisymmetric(B)=> antisymmetric(relation_restriction(B,A)) ) ) )),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f29,negated_conjecture,(
% 0.10/0.40 ~((! [A,B] :( relation(B)=> ( antisymmetric(B)=> antisymmetric(relation_restriction(B,A)) ) ) ))),
% 0.10/0.40 inference(negated_conjecture,[status(cth)],[f28])).
% 0.10/0.40 fof(f48,plain,(
% 0.10/0.40 ![A,B]: (~relation(A)|relation(relation_restriction(A,B)))),
% 0.10/0.40 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 0.10/0.40 fof(f49,plain,(
% 0.10/0.40 ![A]: (~relation(A)|(![B]: relation(relation_restriction(A,B))))),
% 0.10/0.40 inference(miniscoping,[status(thm)],[f48])).
% 0.10/0.40 fof(f50,plain,(
% 0.10/0.40 ![X0,X1]: (~relation(X0)|relation(relation_restriction(X0,X1)))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f49])).
% 0.10/0.40 fof(f57,plain,(
% 0.10/0.40 ![A]: (~relation(A)|(antisymmetric(A)<=>(![B,C]: ((~in(ordered_pair(B,C),A)|~in(ordered_pair(C,B),A))|B=C))))),
% 0.10/0.40 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 0.10/0.40 fof(f58,plain,(
% 0.10/0.40 ![A]: (~relation(A)|((~antisymmetric(A)|(![B,C]: ((~in(ordered_pair(B,C),A)|~in(ordered_pair(C,B),A))|B=C)))&(antisymmetric(A)|(?[B,C]: ((in(ordered_pair(B,C),A)&in(ordered_pair(C,B),A))&~B=C)))))),
% 0.10/0.40 inference(NNF_transformation,[status(thm)],[f57])).
% 0.10/0.40 fof(f59,plain,(
% 0.10/0.40 ![A]: (~relation(A)|((~antisymmetric(A)|(![B,C]: ((~in(ordered_pair(B,C),A)|~in(ordered_pair(C,B),A))|B=C)))&(antisymmetric(A)|((in(ordered_pair(sK1_skl(A),sK2_skl(A)),A)&in(ordered_pair(sK2_skl(A),sK1_skl(A)),A))&~sK1_skl(A)=sK2_skl(A)))))),
% 0.10/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl,sK2_skl]),skolemize(B,sK1_skl(A)),skolemize(C,sK2_skl(A))],[f58])).
% 0.10/0.40 fof(f60,plain,(
% 0.10/0.40 ![X0,X1,X2]: (~relation(X0)|~antisymmetric(X0)|~in(ordered_pair(X1,X2),X0)|~in(ordered_pair(X2,X1),X0)|X1=X2)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f59])).
% 0.10/0.40 fof(f61,plain,(
% 0.10/0.40 ![X0]: (~relation(X0)|antisymmetric(X0)|in(ordered_pair(sK1_skl(X0),sK2_skl(X0)),X0))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f59])).
% 0.10/0.40 fof(f62,plain,(
% 0.10/0.40 ![X0]: (~relation(X0)|antisymmetric(X0)|in(ordered_pair(sK2_skl(X0),sK1_skl(X0)),X0))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f59])).
% 0.10/0.40 fof(f63,plain,(
% 0.10/0.40 ![X0]: (~relation(X0)|antisymmetric(X0)|~sK1_skl(X0)=sK2_skl(X0))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f59])).
% 0.10/0.40 fof(f79,plain,(
% 0.10/0.40 ![A,B,C]: (~relation(C)|(in(A,relation_restriction(C,B))<=>(in(A,C)&in(A,cartesian_product2(B,B)))))),
% 0.10/0.40 inference(pre_NNF_transformation,[status(thm)],[f26])).
% 0.10/0.40 fof(f80,plain,(
% 0.10/0.40 ![A,B,C]: (~relation(C)|((~in(A,relation_restriction(C,B))|(in(A,C)&in(A,cartesian_product2(B,B))))&(in(A,relation_restriction(C,B))|(~in(A,C)|~in(A,cartesian_product2(B,B))))))),
% 0.10/0.40 inference(NNF_transformation,[status(thm)],[f79])).
% 0.10/0.40 fof(f81,plain,(
% 0.10/0.40 ![C]: (~relation(C)|((![A,B]: (~in(A,relation_restriction(C,B))|(in(A,C)&in(A,cartesian_product2(B,B)))))&(![A,B]: (in(A,relation_restriction(C,B))|(~in(A,C)|~in(A,cartesian_product2(B,B)))))))),
% 0.10/0.40 inference(miniscoping,[status(thm)],[f80])).
% 0.10/0.40 fof(f82,plain,(
% 0.10/0.40 ![X0,X1,X2]: (~relation(X0)|~in(X1,relation_restriction(X0,X2))|in(X1,X0))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f81])).
% 0.10/0.40 fof(f87,plain,(
% 0.10/0.40 (?[A,B]: (relation(B)&(antisymmetric(B)&~antisymmetric(relation_restriction(B,A)))))),
% 0.10/0.40 inference(pre_NNF_transformation,[status(thm)],[f29])).
% 0.10/0.40 fof(f88,plain,(
% 0.10/0.40 ?[B]: (relation(B)&(antisymmetric(B)&(?[A]: ~antisymmetric(relation_restriction(B,A)))))),
% 0.10/0.40 inference(miniscoping,[status(thm)],[f87])).
% 0.10/0.41 fof(f89,plain,(
% 0.10/0.41 (relation(sK8_skl)&(antisymmetric(sK8_skl)&~antisymmetric(relation_restriction(sK8_skl,sK9_skl))))),
% 0.10/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl,sK9_skl]),skolemize(B,sK8_skl),skolemize(A,sK9_skl)],[f88])).
% 0.10/0.41 fof(f90,plain,(
% 0.10/0.41 relation(sK8_skl)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f89])).
% 0.10/0.41 fof(f91,plain,(
% 0.10/0.41 antisymmetric(sK8_skl)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f89])).
% 0.10/0.41 fof(f92,plain,(
% 0.10/0.41 ~antisymmetric(relation_restriction(sK8_skl,sK9_skl))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f89])).
% 0.10/0.41 fof(f145,plain,(
% 0.10/0.41 ![X0,X1]: (~relation(relation_restriction(X0,X1))|antisymmetric(relation_restriction(X0,X1))|~relation(X0)|in(ordered_pair(sK1_skl(relation_restriction(X0,X1)),sK2_skl(relation_restriction(X0,X1))),X0))),
% 0.10/0.41 inference(resolution,[status(thm)],[f61,f82])).
% 0.10/0.41 fof(f147,plain,(
% 0.10/0.41 ![X0,X1]: (antisymmetric(relation_restriction(X0,X1))|~relation(X0)|in(ordered_pair(sK1_skl(relation_restriction(X0,X1)),sK2_skl(relation_restriction(X0,X1))),X0))),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f145,f50])).
% 0.10/0.41 fof(f149,plain,(
% 0.10/0.41 ![X0,X1]: (~relation(relation_restriction(X0,X1))|antisymmetric(relation_restriction(X0,X1))|~relation(X0)|in(ordered_pair(sK2_skl(relation_restriction(X0,X1)),sK1_skl(relation_restriction(X0,X1))),X0))),
% 0.10/0.41 inference(resolution,[status(thm)],[f62,f82])).
% 0.10/0.41 fof(f151,plain,(
% 0.10/0.41 ![X0,X1]: (antisymmetric(relation_restriction(X0,X1))|~relation(X0)|in(ordered_pair(sK2_skl(relation_restriction(X0,X1)),sK1_skl(relation_restriction(X0,X1))),X0))),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f149,f50])).
% 0.10/0.41 fof(f152,plain,(
% 0.10/0.41 ~relation(relation_restriction(sK8_skl,sK9_skl))|~sK1_skl(relation_restriction(sK8_skl,sK9_skl))=sK2_skl(relation_restriction(sK8_skl,sK9_skl))),
% 0.10/0.41 inference(resolution,[status(thm)],[f63,f92])).
% 0.10/0.41 fof(f153,plain,(
% 0.10/0.41 ~sK1_skl(relation_restriction(sK8_skl,sK9_skl))=sK2_skl(relation_restriction(sK8_skl,sK9_skl))|~relation(sK8_skl)),
% 0.10/0.41 inference(resolution,[status(thm)],[f152,f50])).
% 0.10/0.41 fof(f154,plain,(
% 0.10/0.41 ~sK1_skl(relation_restriction(sK8_skl,sK9_skl))=sK2_skl(relation_restriction(sK8_skl,sK9_skl))),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f153,f90])).
% 0.10/0.41 fof(f163,plain,(
% 0.10/0.41 ![X0,X1]: (antisymmetric(relation_restriction(X0,X1))|~relation(X0)|~relation(X0)|~antisymmetric(X0)|~in(ordered_pair(sK2_skl(relation_restriction(X0,X1)),sK1_skl(relation_restriction(X0,X1))),X0)|sK2_skl(relation_restriction(X0,X1))=sK1_skl(relation_restriction(X0,X1)))),
% 0.10/0.41 inference(resolution,[status(thm)],[f147,f60])).
% 0.10/0.41 fof(f166,plain,(
% 0.10/0.41 ![X0,X1]: (antisymmetric(relation_restriction(X0,X1))|~relation(X0)|~antisymmetric(X0)|~in(ordered_pair(sK2_skl(relation_restriction(X0,X1)),sK1_skl(relation_restriction(X0,X1))),X0)|sK2_skl(relation_restriction(X0,X1))=sK1_skl(relation_restriction(X0,X1)))),
% 0.10/0.41 inference(duplicate_literals_removal,[status(thm)],[f163])).
% 0.10/0.41 fof(f178,plain,(
% 0.10/0.41 ![X0,X1]: (antisymmetric(relation_restriction(X0,X1))|~relation(X0)|~antisymmetric(X0)|sK2_skl(relation_restriction(X0,X1))=sK1_skl(relation_restriction(X0,X1)))),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f166,f151])).
% 0.10/0.41 fof(f179,plain,(
% 0.10/0.41 ~relation(sK8_skl)|~antisymmetric(sK8_skl)|sK2_skl(relation_restriction(sK8_skl,sK9_skl))=sK1_skl(relation_restriction(sK8_skl,sK9_skl))),
% 0.10/0.41 inference(resolution,[status(thm)],[f178,f92])).
% 0.10/0.41 fof(f180,plain,(
% 0.10/0.41 ~antisymmetric(sK8_skl)|sK2_skl(relation_restriction(sK8_skl,sK9_skl))=sK1_skl(relation_restriction(sK8_skl,sK9_skl))),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f179,f90])).
% 0.10/0.41 fof(f201,plain,(
% 0.10/0.41 ~sK1_skl(relation_restriction(sK8_skl,sK9_skl))=sK1_skl(relation_restriction(sK8_skl,sK9_skl))),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f202,f154])).
% 0.10/0.41 fof(f202,plain,(
% 0.10/0.41 sK2_skl(relation_restriction(sK8_skl,sK9_skl))=sK1_skl(relation_restriction(sK8_skl,sK9_skl))),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f180,f91])).
% 0.10/0.41 fof(f207,plain,(
% 0.10/0.41 $false),
% 0.10/0.41 inference(trivial_equality_resolution,[status(thm)],[f201])).
% 0.10/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.43 % Elapsed time: 0.062018 seconds
% 0.12/0.43 % CPU time: 0.184854 seconds
% 0.12/0.43 % Total memory used: 67.979 MB
% 0.12/0.43 % Net memory used: 67.899 MB
%------------------------------------------------------------------------------