%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU224+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 : 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 02:22:03 PM UTC 2026
% Result : Theorem 0.03s 5.35s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SEU224+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/5.31 % Computer : n012.cluster.edu
% 0.03/5.31 % Model : x86_64 x86_64
% 0.03/5.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/5.31 % Memory : 8046.5625MB
% 0.03/5.31 % OS : Linux 6.8.0-71-generic
% 0.03/5.31 % CPULimit : 300
% 0.03/5.31 % WCLimit : 300
% 0.03/5.31 % DateTime : Mon Sep 21 06:00:07 UTC 2026
% 0.03/5.31 % CPUTime :
% 0.03/5.32 % Drodi V4.1.1
% 0.03/5.35 % Refutation found
% 0.03/5.35 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.03/5.35 % SZS output start CNFRefutation for theBenchmark
% 0.03/5.35 fof(f117,conjecture,(
% 0.03/5.35 (! [A,B,C] :( ( relation(C)& function(C) )=> ( in(B,relation_dom(relation_dom_restriction(C,A)))<=> ( in(B,relation_dom(C))& in(B,A) ) ) ) )),
% 0.03/5.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/5.35 fof(f118,negated_conjecture,(
% 0.03/5.35 ~((! [A,B,C] :( ( relation(C)& function(C) )=> ( in(B,relation_dom(relation_dom_restriction(C,A)))<=> ( in(B,relation_dom(C))& in(B,A) ) ) ) ))),
% 0.03/5.35 inference(negated_conjecture,[status(cth)],[f117])).
% 0.03/5.35 fof(f228,lemma,(
% 0.03/5.35 (! [A,B,C] :( relation(C)=> ( in(A,relation_dom(relation_dom_restriction(C,B)))<=> ( in(A,B)& in(A,relation_dom(C)) ) ) ) )),
% 0.03/5.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/5.35 fof(f638,plain,(
% 0.03/5.35 (?[A,B,C]: ((relation(C)&function(C))&(in(B,relation_dom(relation_dom_restriction(C,A)))<~>(in(B,relation_dom(C))&in(B,A)))))),
% 0.03/5.35 inference(pre_NNF_transformation,[status(thm)],[f118])).
% 0.03/5.35 fof(f639,plain,(
% 0.03/5.35 ?[A,B,C]: ((relation(C)&function(C))&((in(B,relation_dom(relation_dom_restriction(C,A)))|(in(B,relation_dom(C))&in(B,A)))&(~in(B,relation_dom(relation_dom_restriction(C,A)))|(~in(B,relation_dom(C))|~in(B,A)))))),
% 0.03/5.35 inference(NNF_transformation,[status(thm)],[f638])).
% 0.03/5.35 fof(f640,plain,(
% 0.03/5.35 ?[C]: ((relation(C)&function(C))&(?[A,B]: ((in(B,relation_dom(relation_dom_restriction(C,A)))|(in(B,relation_dom(C))&in(B,A)))&(~in(B,relation_dom(relation_dom_restriction(C,A)))|(~in(B,relation_dom(C))|~in(B,A))))))),
% 0.03/5.35 inference(miniscoping,[status(thm)],[f639])).
% 0.03/5.35 fof(f641,plain,(
% 0.03/5.35 ((relation(sK55_skl)&function(sK55_skl))&((in(sK57_skl,relation_dom(relation_dom_restriction(sK55_skl,sK56_skl)))|(in(sK57_skl,relation_dom(sK55_skl))&in(sK57_skl,sK56_skl)))&(~in(sK57_skl,relation_dom(relation_dom_restriction(sK55_skl,sK56_skl)))|(~in(sK57_skl,relation_dom(sK55_skl))|~in(sK57_skl,sK56_skl)))))),
% 0.03/5.35 inference(skolemize,[status(esa),new_symbols(skolem,[sK55_skl,sK56_skl,sK57_skl]),skolemize(C,sK55_skl),skolemize(A,sK56_skl),skolemize(B,sK57_skl)],[f640])).
% 0.03/5.35 fof(f642,plain,(
% 0.03/5.35 relation(sK55_skl)),
% 0.03/5.35 inference(cnf_transformation,[status(thm)],[f641])).
% 0.03/5.35 fof(f644,plain,(
% 0.03/5.35 in(sK57_skl,relation_dom(relation_dom_restriction(sK55_skl,sK56_skl)))|in(sK57_skl,relation_dom(sK55_skl))),
% 0.03/5.35 inference(cnf_transformation,[status(thm)],[f641])).
% 0.03/5.35 fof(f645,plain,(
% 0.03/5.35 in(sK57_skl,relation_dom(relation_dom_restriction(sK55_skl,sK56_skl)))|in(sK57_skl,sK56_skl)),
% 0.03/5.35 inference(cnf_transformation,[status(thm)],[f641])).
% 0.03/5.35 fof(f646,plain,(
% 0.03/5.35 ~in(sK57_skl,relation_dom(relation_dom_restriction(sK55_skl,sK56_skl)))|~in(sK57_skl,relation_dom(sK55_skl))|~in(sK57_skl,sK56_skl)),
% 0.03/5.35 inference(cnf_transformation,[status(thm)],[f641])).
% 0.03/5.35 fof(f985,plain,(
% 0.03/5.35 ![A,B,C]: (~relation(C)|(in(A,relation_dom(relation_dom_restriction(C,B)))<=>(in(A,B)&in(A,relation_dom(C)))))),
% 0.03/5.35 inference(pre_NNF_transformation,[status(thm)],[f228])).
% 0.03/5.35 fof(f986,plain,(
% 0.03/5.35 ![A,B,C]: (~relation(C)|((~in(A,relation_dom(relation_dom_restriction(C,B)))|(in(A,B)&in(A,relation_dom(C))))&(in(A,relation_dom(relation_dom_restriction(C,B)))|(~in(A,B)|~in(A,relation_dom(C))))))),
% 0.03/5.35 inference(NNF_transformation,[status(thm)],[f985])).
% 0.03/5.35 fof(f987,plain,(
% 0.03/5.35 ![C]: (~relation(C)|((![A,B]: (~in(A,relation_dom(relation_dom_restriction(C,B)))|(in(A,B)&in(A,relation_dom(C)))))&(![A,B]: (in(A,relation_dom(relation_dom_restriction(C,B)))|(~in(A,B)|~in(A,relation_dom(C)))))))),
% 0.03/5.35 inference(miniscoping,[status(thm)],[f986])).
% 0.03/5.35 fof(f988,plain,(
% 0.03/5.35 ![X0,X1,X2]: (~relation(X0)|~in(X1,relation_dom(relation_dom_restriction(X0,X2)))|in(X1,X2))),
% 0.03/5.35 inference(cnf_transformation,[status(thm)],[f987])).
% 0.03/5.35 fof(f989,plain,(
% 0.03/5.35 ![X0,X1,X2]: (~relation(X0)|~in(X1,relation_dom(relation_dom_restriction(X0,X2)))|in(X1,relation_dom(X0)))),
% 0.03/5.35 inference(cnf_transformation,[status(thm)],[f987])).
% 0.03/5.35 fof(f990,plain,(
% 0.03/5.35 ![X0,X1,X2]: (~relation(X0)|in(X1,relation_dom(relation_dom_restriction(X0,X2)))|~in(X1,X2)|~in(X1,relation_dom(X0)))),
% 0.03/5.35 inference(cnf_transformation,[status(thm)],[f987])).
% 0.03/5.35 fof(f1158,plain,(
% 0.03/5.35 ~relation(sK55_skl)|in(sK57_skl,sK56_skl)|in(sK57_skl,sK56_skl)),
% 0.03/5.35 inference(resolution,[status(thm)],[f988,f645])).
% 0.03/5.35 fof(f1160,plain,(
% 0.03/5.35 ~relation(sK55_skl)|in(sK57_skl,sK56_skl)),
% 0.03/5.35 inference(duplicate_literals_removal,[status(thm)],[f1158])).
% 0.03/5.35 fof(f1161,plain,(
% 0.03/5.35 in(sK57_skl,sK56_skl)),
% 0.03/5.35 inference(forward_subsumption_resolution,[status(thm)],[f1160,f642])).
% 0.03/5.35 fof(f1171,plain,(
% 0.03/5.35 ~relation(sK55_skl)|in(sK57_skl,relation_dom(sK55_skl))|in(sK57_skl,relation_dom(sK55_skl))),
% 0.03/5.35 inference(resolution,[status(thm)],[f989,f644])).
% 0.03/5.35 fof(f1173,plain,(
% 0.03/5.35 ~relation(sK55_skl)|in(sK57_skl,relation_dom(sK55_skl))),
% 0.03/5.35 inference(duplicate_literals_removal,[status(thm)],[f1171])).
% 0.03/5.35 fof(f1174,plain,(
% 0.03/5.35 in(sK57_skl,relation_dom(sK55_skl))),
% 0.03/5.35 inference(forward_subsumption_resolution,[status(thm)],[f1173,f642])).
% 0.03/5.35 fof(f1177,plain,(
% 0.03/5.35 ![X0,X1]: (in(X0,relation_dom(relation_dom_restriction(sK55_skl,X1)))|~in(X0,X1)|~in(X0,relation_dom(sK55_skl)))),
% 0.03/5.35 inference(resolution,[status(thm)],[f990,f642])).
% 0.03/5.35 fof(f1195,plain,(
% 0.03/5.35 ~in(sK57_skl,relation_dom(relation_dom_restriction(sK55_skl,sK56_skl)))|~in(sK57_skl,relation_dom(sK55_skl))),
% 0.03/5.35 inference(backward_subsumption_resolution,[status(thm)],[f646,f1161])).
% 0.03/5.35 fof(f1197,plain,(
% 0.03/5.35 ~in(sK57_skl,relation_dom(relation_dom_restriction(sK55_skl,sK56_skl)))),
% 0.03/5.35 inference(backward_subsumption_resolution,[status(thm)],[f1195,f1174])).
% 0.03/5.35 fof(f1230,plain,(
% 0.03/5.35 ![X0]: (in(sK57_skl,relation_dom(relation_dom_restriction(sK55_skl,X0)))|~in(sK57_skl,X0))),
% 0.03/5.35 inference(resolution,[status(thm)],[f1177,f1174])).
% 0.03/5.35 fof(f1259,plain,(
% 0.03/5.35 in(sK57_skl,relation_dom(relation_dom_restriction(sK55_skl,sK56_skl)))),
% 0.03/5.35 inference(resolution,[status(thm)],[f1230,f1161])).
% 0.03/5.35 fof(f1261,plain,(
% 0.03/5.35 $false),
% 0.03/5.35 inference(forward_subsumption_resolution,[status(thm)],[f1259,f1197])).
% 0.03/5.35 % SZS output end CNFRefutation for theBenchmark.p
% 0.03/5.37 % Elapsed time: 0.055643 seconds
% 0.03/5.37 % CPU time: 0.165060 seconds
% 0.03/5.37 % Total memory used: 123.371 MB
% 0.03/5.37 % Net memory used: 122.908 MB
%------------------------------------------------------------------------------