%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU252+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 : n012.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 02:22:08 PM UTC 2026
% Result : Theorem 0.11s 15.57s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU252+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
% 0.07/15.35 % Computer : n012.cluster.edu
% 0.07/15.35 % Model : x86_64 x86_64
% 0.07/15.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/15.35 % Memory : 8046.5625MB
% 0.07/15.35 % OS : Linux 6.8.0-71-generic
% 0.07/15.35 % CPULimit : 300
% 0.07/15.35 % WCLimit : 300
% 0.07/15.35 % DateTime : Mon Sep 21 06:03:08 UTC 2026
% 0.07/15.35 % CPUTime :
% 0.07/15.36 % Drodi V4.1.1
% 0.11/15.57 % Refutation found
% 0.11/15.57 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/15.57 % SZS output start CNFRefutation for theBenchmark
% 0.11/15.57 fof(f15,axiom,(
% 0.11/15.57 (! [A,B] :( relation(A)=> relation(relation_restriction(A,B)) ) )),
% 0.11/15.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/15.57 fof(f29,axiom,(
% 0.11/15.57 (! [A] :( relation(A)=> ( reflexive(A)<=> (! [B] :( in(B,relation_field(A))=> in(ordered_pair(B,B),A) ) )) ) )),
% 0.11/15.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/15.57 fof(f35,axiom,(
% 0.11/15.57 (! [A,B,C,D] :( in(ordered_pair(A,B),cartesian_product2(C,D))<=> ( in(A,C)& in(B,D) ) ) )),
% 0.11/15.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/15.57 fof(f36,axiom,(
% 0.11/15.57 (! [A,B,C] :( relation(C)=> ( in(A,relation_restriction(C,B))<=> ( in(A,C)& in(A,cartesian_product2(B,B)) ) ) ) )),
% 0.11/15.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/15.57 fof(f37,axiom,(
% 0.11/15.57 (! [A,B,C] :( relation(C)=> ( in(A,relation_field(relation_restriction(C,B)))=> ( in(A,relation_field(C))& in(A,B) ) ) ) )),
% 0.11/15.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/15.57 fof(f40,conjecture,(
% 0.11/15.57 (! [A,B] :( relation(B)=> ( reflexive(B)=> reflexive(relation_restriction(B,A)) ) ) )),
% 0.11/15.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/15.57 fof(f41,negated_conjecture,(
% 0.11/15.57 ~((! [A,B] :( relation(B)=> ( reflexive(B)=> reflexive(relation_restriction(B,A)) ) ) ))),
% 0.11/15.57 inference(negated_conjecture,[status(cth)],[f40])).
% 0.11/15.57 fof(f63,plain,(
% 0.11/15.57 ![A,B]: (~relation(A)|relation(relation_restriction(A,B)))),
% 0.11/15.57 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.11/15.57 fof(f64,plain,(
% 0.11/15.57 ![A]: (~relation(A)|(![B]: relation(relation_restriction(A,B))))),
% 0.11/15.57 inference(miniscoping,[status(thm)],[f63])).
% 0.11/15.57 fof(f65,plain,(
% 0.11/15.57 ![X0,X1]: (~relation(X0)|relation(relation_restriction(X0,X1)))),
% 0.11/15.57 inference(cnf_transformation,[status(thm)],[f64])).
% 0.11/15.57 fof(f80,plain,(
% 0.11/15.57 ![A]: (~relation(A)|(reflexive(A)<=>(![B]: (~in(B,relation_field(A))|in(ordered_pair(B,B),A)))))),
% 0.11/15.57 inference(pre_NNF_transformation,[status(thm)],[f29])).
% 0.11/15.57 fof(f81,plain,(
% 0.11/15.57 ![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))))))),
% 0.11/15.57 inference(NNF_transformation,[status(thm)],[f80])).
% 0.11/15.57 fof(f82,plain,(
% 0.11/15.57 ![A]: (~relation(A)|((~reflexive(A)|(![B]: (~in(B,relation_field(A))|in(ordered_pair(B,B),A))))&(reflexive(A)|(in(sK1_skl(A),relation_field(A))&~in(ordered_pair(sK1_skl(A),sK1_skl(A)),A)))))),
% 0.11/15.57 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(B,sK1_skl(A))],[f81])).
% 0.11/15.57 fof(f83,plain,(
% 0.11/15.57 ![X0,X1]: (~relation(X0)|~reflexive(X0)|~in(X1,relation_field(X0))|in(ordered_pair(X1,X1),X0))),
% 0.11/15.57 inference(cnf_transformation,[status(thm)],[f82])).
% 0.11/15.57 fof(f84,plain,(
% 0.11/15.57 ![X0]: (~relation(X0)|reflexive(X0)|in(sK1_skl(X0),relation_field(X0)))),
% 0.11/15.57 inference(cnf_transformation,[status(thm)],[f82])).
% 0.11/15.57 fof(f85,plain,(
% 0.11/15.57 ![X0]: (~relation(X0)|reflexive(X0)|~in(ordered_pair(sK1_skl(X0),sK1_skl(X0)),X0))),
% 0.11/15.57 inference(cnf_transformation,[status(thm)],[f82])).
% 0.11/15.57 fof(f101,plain,(
% 0.11/15.57 ![A,B,C,D]: ((~in(ordered_pair(A,B),cartesian_product2(C,D))|(in(A,C)&in(B,D)))&(in(ordered_pair(A,B),cartesian_product2(C,D))|(~in(A,C)|~in(B,D))))),
% 0.11/15.57 inference(NNF_transformation,[status(thm)],[f35])).
% 0.11/15.57 fof(f102,plain,(
% 0.11/15.57 (![A,B,C,D]: (~in(ordered_pair(A,B),cartesian_product2(C,D))|(in(A,C)&in(B,D))))&(![A,B,C,D]: (in(ordered_pair(A,B),cartesian_product2(C,D))|(~in(A,C)|~in(B,D))))),
% 0.11/15.57 inference(miniscoping,[status(thm)],[f101])).
% 0.11/15.57 fof(f105,plain,(
% 0.11/15.57 ![X0,X1,X2,X3]: (in(ordered_pair(X0,X1),cartesian_product2(X2,X3))|~in(X0,X2)|~in(X1,X3))),
% 0.11/15.57 inference(cnf_transformation,[status(thm)],[f102])).
% 0.11/15.57 fof(f106,plain,(
% 0.11/15.57 ![A,B,C]: (~relation(C)|(in(A,relation_restriction(C,B))<=>(in(A,C)&in(A,cartesian_product2(B,B)))))),
% 0.11/15.57 inference(pre_NNF_transformation,[status(thm)],[f36])).
% 0.11/15.57 fof(f107,plain,(
% 0.11/15.57 ![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))))))),
% 0.11/15.57 inference(NNF_transformation,[status(thm)],[f106])).
% 0.11/15.57 fof(f108,plain,(
% 0.11/15.57 ![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)))))))),
% 0.11/15.57 inference(miniscoping,[status(thm)],[f107])).
% 0.11/15.57 fof(f111,plain,(
% 0.11/15.57 ![X0,X1,X2]: (~relation(X0)|in(X1,relation_restriction(X0,X2))|~in(X1,X0)|~in(X1,cartesian_product2(X2,X2)))),
% 0.11/15.57 inference(cnf_transformation,[status(thm)],[f108])).
% 0.11/15.57 fof(f112,plain,(
% 0.11/15.57 ![A,B,C]: (~relation(C)|(~in(A,relation_field(relation_restriction(C,B)))|(in(A,relation_field(C))&in(A,B))))),
% 0.11/15.57 inference(pre_NNF_transformation,[status(thm)],[f37])).
% 0.11/15.57 fof(f113,plain,(
% 0.11/15.57 ![C]: (~relation(C)|(![A,B]: (~in(A,relation_field(relation_restriction(C,B)))|(in(A,relation_field(C))&in(A,B)))))),
% 0.11/15.57 inference(miniscoping,[status(thm)],[f112])).
% 0.11/15.57 fof(f114,plain,(
% 0.11/15.57 ![X0,X1,X2]: (~relation(X0)|~in(X1,relation_field(relation_restriction(X0,X2)))|in(X1,relation_field(X0)))),
% 0.11/15.57 inference(cnf_transformation,[status(thm)],[f113])).
% 0.11/15.57 fof(f115,plain,(
% 0.11/15.57 ![X0,X1,X2]: (~relation(X0)|~in(X1,relation_field(relation_restriction(X0,X2)))|in(X1,X2))),
% 0.11/15.57 inference(cnf_transformation,[status(thm)],[f113])).
% 0.11/15.57 fof(f119,plain,(
% 0.11/15.57 (?[A,B]: (relation(B)&(reflexive(B)&~reflexive(relation_restriction(B,A)))))),
% 0.11/15.57 inference(pre_NNF_transformation,[status(thm)],[f41])).
% 0.11/15.57 fof(f120,plain,(
% 0.11/15.57 ?[B]: (relation(B)&(reflexive(B)&(?[A]: ~reflexive(relation_restriction(B,A)))))),
% 0.11/15.57 inference(miniscoping,[status(thm)],[f119])).
% 0.11/15.57 fof(f121,plain,(
% 0.11/15.57 (relation(sK7_skl)&(reflexive(sK7_skl)&~reflexive(relation_restriction(sK7_skl,sK8_skl))))),
% 0.11/15.57 inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl,sK8_skl]),skolemize(B,sK7_skl),skolemize(A,sK8_skl)],[f120])).
% 0.11/15.57 fof(f122,plain,(
% 0.11/15.57 relation(sK7_skl)),
% 0.11/15.57 inference(cnf_transformation,[status(thm)],[f121])).
% 0.11/15.57 fof(f123,plain,(
% 0.11/15.57 reflexive(sK7_skl)),
% 0.11/15.57 inference(cnf_transformation,[status(thm)],[f121])).
% 0.11/15.57 fof(f124,plain,(
% 0.11/15.57 ~reflexive(relation_restriction(sK7_skl,sK8_skl))),
% 0.11/15.57 inference(cnf_transformation,[status(thm)],[f121])).
% 0.11/15.57 fof(f374,plain,(
% 0.11/15.57 ![X0,X1,X2,X3]: (~relation(X0)|in(ordered_pair(X1,X2),relation_restriction(X0,X3))|~in(ordered_pair(X1,X2),X0)|~in(X1,X3)|~in(X2,X3))),
% 0.11/15.57 inference(resolution,[status(thm)],[f111,f105])).
% 0.11/15.57 fof(f423,plain,(
% 0.11/15.57 ![X0,X1]: (~in(X0,relation_field(relation_restriction(sK7_skl,X1)))|in(X0,X1))),
% 0.11/15.57 inference(resolution,[status(thm)],[f115,f122])).
% 0.11/15.57 fof(f452,plain,(
% 0.11/15.57 ![X0,X1]: (~in(X0,relation_field(relation_restriction(sK7_skl,X1)))|in(X0,relation_field(sK7_skl)))),
% 0.11/15.57 inference(resolution,[status(thm)],[f114,f122])).
% 0.11/15.57 fof(f471,plain,(
% 0.11/15.57 ![X0]: (in(sK1_skl(relation_restriction(sK7_skl,X0)),X0)|~relation(relation_restriction(sK7_skl,X0))|reflexive(relation_restriction(sK7_skl,X0)))),
% 0.11/15.57 inference(resolution,[status(thm)],[f423,f84])).
% 0.11/15.57 fof(f475,plain,(
% 0.11/15.57 ![X0]: (in(sK1_skl(relation_restriction(sK7_skl,X0)),relation_field(sK7_skl))|~relation(relation_restriction(sK7_skl,X0))|reflexive(relation_restriction(sK7_skl,X0)))),
% 0.11/15.57 inference(resolution,[status(thm)],[f452,f84])).
% 0.11/15.57 fof(f501,plain,(
% 0.11/15.57 ![X0]: (in(sK1_skl(relation_restriction(sK7_skl,X0)),X0)|reflexive(relation_restriction(sK7_skl,X0))|~relation(sK7_skl))),
% 0.11/15.57 inference(resolution,[status(thm)],[f471,f65])).
% 0.11/15.57 fof(f502,plain,(
% 0.11/15.57 ![X0]: (in(sK1_skl(relation_restriction(sK7_skl,X0)),X0)|reflexive(relation_restriction(sK7_skl,X0)))),
% 0.11/15.57 inference(forward_subsumption_resolution,[status(thm)],[f501,f122])).
% 0.11/15.57 fof(f635,plain,(
% 0.11/15.57 ![X0,X1,X2]: (~relation(X0)|in(ordered_pair(X1,X1),relation_restriction(X0,X2))|~in(X1,X2)|~in(X1,X2)|~relation(X0)|~reflexive(X0)|~in(X1,relation_field(X0)))),
% 0.11/15.57 inference(resolution,[status(thm)],[f374,f83])).
% 0.11/15.57 fof(f638,plain,(
% 0.11/15.57 ![X0,X1,X2]: (~relation(X0)|in(ordered_pair(X1,X1),relation_restriction(X0,X2))|~in(X1,X2)|~reflexive(X0)|~in(X1,relation_field(X0)))),
% 0.11/15.57 inference(duplicate_literals_removal,[status(thm)],[f635])).
% 0.11/15.57 fof(f1345,plain,(
% 0.11/15.57 ![X0]: (in(sK1_skl(relation_restriction(sK7_skl,X0)),relation_field(sK7_skl))|reflexive(relation_restriction(sK7_skl,X0))|~relation(sK7_skl))),
% 0.11/15.57 inference(resolution,[status(thm)],[f475,f65])).
% 0.11/15.57 fof(f1346,plain,(
% 0.11/15.57 ![X0]: (in(sK1_skl(relation_restriction(sK7_skl,X0)),relation_field(sK7_skl))|reflexive(relation_restriction(sK7_skl,X0)))),
% 0.11/15.58 inference(forward_subsumption_resolution,[status(thm)],[f1345,f122])).
% 0.11/15.58 fof(f2319,plain,(
% 0.11/15.58 ![X0,X1]: (in(ordered_pair(X0,X0),relation_restriction(sK7_skl,X1))|~in(X0,X1)|~reflexive(sK7_skl)|~in(X0,relation_field(sK7_skl)))),
% 0.11/15.58 inference(resolution,[status(thm)],[f638,f122])).
% 0.11/15.58 fof(f2322,plain,(
% 0.11/15.58 ![X0,X1]: (in(ordered_pair(X0,X0),relation_restriction(sK7_skl,X1))|~in(X0,X1)|~in(X0,relation_field(sK7_skl)))),
% 0.11/15.58 inference(forward_subsumption_resolution,[status(thm)],[f2319,f123])).
% 0.11/15.58 fof(f2418,plain,(
% 0.11/15.58 ![X0]: (~in(sK1_skl(relation_restriction(sK7_skl,X0)),X0)|~in(sK1_skl(relation_restriction(sK7_skl,X0)),relation_field(sK7_skl))|~relation(relation_restriction(sK7_skl,X0))|reflexive(relation_restriction(sK7_skl,X0)))),
% 0.11/15.58 inference(resolution,[status(thm)],[f2322,f85])).
% 0.11/15.58 fof(f2424,plain,(
% 0.11/15.58 ![X0]: (~in(sK1_skl(relation_restriction(sK7_skl,X0)),relation_field(sK7_skl))|~relation(relation_restriction(sK7_skl,X0))|reflexive(relation_restriction(sK7_skl,X0)))),
% 0.11/15.58 inference(forward_subsumption_resolution,[status(thm)],[f2418,f502])).
% 0.11/15.58 fof(f2790,plain,(
% 0.11/15.58 ![X0]: (~in(sK1_skl(relation_restriction(sK7_skl,X0)),relation_field(sK7_skl))|reflexive(relation_restriction(sK7_skl,X0))|~relation(sK7_skl))),
% 0.11/15.58 inference(resolution,[status(thm)],[f2424,f65])).
% 0.11/15.58 fof(f2791,plain,(
% 0.11/15.58 ![X0]: (reflexive(relation_restriction(sK7_skl,X0))|~relation(sK7_skl))),
% 0.11/15.58 inference(forward_subsumption_resolution,[status(thm)],[f2790,f1346])).
% 0.11/15.58 fof(f2792,plain,(
% 0.11/15.58 ![X0]: (reflexive(relation_restriction(sK7_skl,X0)))),
% 0.11/15.58 inference(resolution,[status(thm)],[f2791,f122])).
% 0.11/15.58 fof(f2794,plain,(
% 0.11/15.58 $false),
% 0.11/15.58 inference(backward_subsumption_resolution,[status(thm)],[f124,f2792])).
% 0.11/15.58 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/15.59 % Elapsed time: 0.222795 seconds
% 0.11/15.59 % CPU time: 1.584910 seconds
% 0.11/15.59 % Total memory used: 172.875 MB
% 0.11/15.59 % Net memory used: 170.035 MB
%------------------------------------------------------------------------------