%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU177+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 : n010.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 02:21:54 PM UTC 2026
% Result : Theorem 0.11s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU177+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n010.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 05:54:55 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.11/0.37 % Drodi V4.1.1
% 0.11/0.40 % Refutation found
% 0.11/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.40 fof(f17,axiom,(
% 0.11/0.40 (! [A] :( relation(A)=> (! [B] :( B = relation_dom(A)<=> (! [C] :( in(C,B)<=> (? [D] : in(ordered_pair(C,D),A) )) )) )) )),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f21,axiom,(
% 0.11/0.40 (! [A] :( relation(A)=> (! [B] :( B = relation_rng(A)<=> (! [C] :( in(C,B)<=> (? [D] : in(ordered_pair(D,C),A) )) )) )) )),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f94,conjecture,(
% 0.11/0.40 (! [A,B,C] :( relation(C)=> ( in(ordered_pair(A,B),C)=> ( in(A,relation_dom(C))& in(B,relation_rng(C)) ) ) ) )),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f95,negated_conjecture,(
% 0.11/0.40 ~((! [A,B,C] :( relation(C)=> ( in(ordered_pair(A,B),C)=> ( in(A,relation_dom(C))& in(B,relation_rng(C)) ) ) ) ))),
% 0.11/0.40 inference(negated_conjecture,[status(cth)],[f94])).
% 0.11/0.40 fof(f237,plain,(
% 0.11/0.40 ![A]: (~relation(A)|(![B]: (B=relation_dom(A)<=>(![C]: (in(C,B)<=>(?[D]: in(ordered_pair(C,D),A)))))))),
% 0.11/0.40 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 0.11/0.40 fof(f238,plain,(
% 0.11/0.40 ![A]: (~relation(A)|(![B]: ((~B=relation_dom(A)|(![C]: ((~in(C,B)|(?[D]: in(ordered_pair(C,D),A)))&(in(C,B)|(![D]: ~in(ordered_pair(C,D),A))))))&(B=relation_dom(A)|(?[C]: ((~in(C,B)|(![D]: ~in(ordered_pair(C,D),A)))&(in(C,B)|(?[D]: in(ordered_pair(C,D),A)))))))))),
% 0.11/0.40 inference(NNF_transformation,[status(thm)],[f237])).
% 0.11/0.40 fof(f239,plain,(
% 0.11/0.40 ![A]: (~relation(A)|((![B]: (~B=relation_dom(A)|((![C]: (~in(C,B)|(?[D]: in(ordered_pair(C,D),A))))&(![C]: (in(C,B)|(![D]: ~in(ordered_pair(C,D),A)))))))&(![B]: (B=relation_dom(A)|(?[C]: ((~in(C,B)|(![D]: ~in(ordered_pair(C,D),A)))&(in(C,B)|(?[D]: in(ordered_pair(C,D),A)))))))))),
% 0.11/0.40 inference(miniscoping,[status(thm)],[f238])).
% 0.11/0.40 fof(f240,plain,(
% 0.11/0.40 ![A]: (~relation(A)|((![B]: (~B=relation_dom(A)|((![C]: (~in(C,B)|in(ordered_pair(C,sK15_skl(C,B,A)),A)))&(![C]: (in(C,B)|(![D]: ~in(ordered_pair(C,D),A)))))))&(![B]: (B=relation_dom(A)|((~in(sK16_skl(B,A),B)|(![D]: ~in(ordered_pair(sK16_skl(B,A),D),A)))&(in(sK16_skl(B,A),B)|in(ordered_pair(sK16_skl(B,A),sK17_skl(B,A)),A)))))))),
% 0.11/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK15_skl,sK16_skl,sK17_skl]),skolemize(D,sK15_skl(C,B,A)),skolemize(C,sK16_skl(B,A)),skolemize(D,sK17_skl(B,A))],[f239])).
% 0.11/0.40 fof(f242,plain,(
% 0.11/0.40 ![X0,X1,X2,X3]: (~relation(X0)|~X1=relation_dom(X0)|in(X2,X1)|~in(ordered_pair(X2,X3),X0))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f240])).
% 0.11/0.40 fof(f264,plain,(
% 0.11/0.40 ![A]: (~relation(A)|(![B]: (B=relation_rng(A)<=>(![C]: (in(C,B)<=>(?[D]: in(ordered_pair(D,C),A)))))))),
% 0.11/0.40 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 0.11/0.40 fof(f265,plain,(
% 0.11/0.40 ![A]: (~relation(A)|(![B]: ((~B=relation_rng(A)|(![C]: ((~in(C,B)|(?[D]: in(ordered_pair(D,C),A)))&(in(C,B)|(![D]: ~in(ordered_pair(D,C),A))))))&(B=relation_rng(A)|(?[C]: ((~in(C,B)|(![D]: ~in(ordered_pair(D,C),A)))&(in(C,B)|(?[D]: in(ordered_pair(D,C),A)))))))))),
% 0.11/0.40 inference(NNF_transformation,[status(thm)],[f264])).
% 0.11/0.40 fof(f266,plain,(
% 0.11/0.40 ![A]: (~relation(A)|((![B]: (~B=relation_rng(A)|((![C]: (~in(C,B)|(?[D]: in(ordered_pair(D,C),A))))&(![C]: (in(C,B)|(![D]: ~in(ordered_pair(D,C),A)))))))&(![B]: (B=relation_rng(A)|(?[C]: ((~in(C,B)|(![D]: ~in(ordered_pair(D,C),A)))&(in(C,B)|(?[D]: in(ordered_pair(D,C),A)))))))))),
% 0.11/0.40 inference(miniscoping,[status(thm)],[f265])).
% 0.11/0.40 fof(f267,plain,(
% 0.11/0.40 ![A]: (~relation(A)|((![B]: (~B=relation_rng(A)|((![C]: (~in(C,B)|in(ordered_pair(sK22_skl(C,B,A),C),A)))&(![C]: (in(C,B)|(![D]: ~in(ordered_pair(D,C),A)))))))&(![B]: (B=relation_rng(A)|((~in(sK23_skl(B,A),B)|(![D]: ~in(ordered_pair(D,sK23_skl(B,A)),A)))&(in(sK23_skl(B,A),B)|in(ordered_pair(sK24_skl(B,A),sK23_skl(B,A)),A)))))))),
% 0.11/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK22_skl,sK23_skl,sK24_skl]),skolemize(D,sK22_skl(C,B,A)),skolemize(C,sK23_skl(B,A)),skolemize(D,sK24_skl(B,A))],[f266])).
% 0.11/0.40 fof(f269,plain,(
% 0.11/0.40 ![X0,X1,X2,X3]: (~relation(X0)|~X1=relation_rng(X0)|in(X2,X1)|~in(ordered_pair(X3,X2),X0))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f267])).
% 0.11/0.40 fof(f419,plain,(
% 0.11/0.40 (?[A,B,C]: (relation(C)&(in(ordered_pair(A,B),C)&(~in(A,relation_dom(C))|~in(B,relation_rng(C))))))),
% 0.11/0.40 inference(pre_NNF_transformation,[status(thm)],[f95])).
% 0.11/0.40 fof(f420,plain,(
% 0.11/0.40 ?[C]: (relation(C)&(?[A,B]: (in(ordered_pair(A,B),C)&(~in(A,relation_dom(C))|~in(B,relation_rng(C))))))),
% 0.11/0.40 inference(miniscoping,[status(thm)],[f419])).
% 0.11/0.40 fof(f421,plain,(
% 0.11/0.40 (relation(sK34_skl)&(in(ordered_pair(sK35_skl,sK36_skl),sK34_skl)&(~in(sK35_skl,relation_dom(sK34_skl))|~in(sK36_skl,relation_rng(sK34_skl)))))),
% 0.11/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK34_skl,sK35_skl,sK36_skl]),skolemize(C,sK34_skl),skolemize(A,sK35_skl),skolemize(B,sK36_skl)],[f420])).
% 0.11/0.40 fof(f422,plain,(
% 0.11/0.40 relation(sK34_skl)),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f421])).
% 0.11/0.40 fof(f423,plain,(
% 0.11/0.40 in(ordered_pair(sK35_skl,sK36_skl),sK34_skl)),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f421])).
% 0.11/0.40 fof(f424,plain,(
% 0.11/0.40 ~in(sK35_skl,relation_dom(sK34_skl))|~in(sK36_skl,relation_rng(sK34_skl))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f421])).
% 0.11/0.40 fof(f561,definition,(
% 0.11/0.40 sQ0_spl <=> (in(sK35_skl,relation_dom(sK34_skl)))),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f564,definition,(
% 0.11/0.40 sQ1_spl <=> (in(sK36_skl,relation_rng(sK34_skl)))),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f567,plain,(
% 0.11/0.40 ~sQ0_spl|~sQ1_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f424,f561,f564])).
% 0.11/0.40 fof(f592,plain,(
% 0.11/0.40 ![X0,X1,X2]: (~relation(X0)|in(X1,relation_dom(X0))|~in(ordered_pair(X1,X2),X0))),
% 0.11/0.40 inference(destructive_equality_resolution,[status(thm)],[f242])).
% 0.11/0.40 fof(f600,plain,(
% 0.11/0.40 ![X0,X1,X2]: (~relation(X0)|in(X1,relation_rng(X0))|~in(ordered_pair(X2,X1),X0))),
% 0.11/0.40 inference(destructive_equality_resolution,[status(thm)],[f269])).
% 0.11/0.40 fof(f612,plain,(
% 0.11/0.40 ~relation(sK34_skl)|in(sK35_skl,relation_dom(sK34_skl))),
% 0.11/0.40 inference(resolution,[status(thm)],[f592,f423])).
% 0.11/0.40 fof(f613,definition,(
% 0.11/0.40 sQ2_spl <=> (relation(sK34_skl))),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f615,plain,(
% 0.11/0.40 ~relation(sK34_skl)|sQ2_spl),
% 0.11/0.40 inference(component_clause,[status(thm)],[f613])).
% 0.11/0.40 fof(f616,plain,(
% 0.11/0.40 ~sQ2_spl|sQ0_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f612,f613,f561])).
% 0.11/0.40 fof(f617,plain,(
% 0.11/0.40 $false|sQ2_spl),
% 0.11/0.40 inference(forward_subsumption_resolution,[status(thm)],[f615,f422])).
% 0.11/0.40 fof(f618,plain,(
% 0.11/0.40 sQ2_spl),
% 0.11/0.40 inference(contradiction_clause,[status(thm)],[f617])).
% 0.11/0.40 fof(f620,plain,(
% 0.11/0.40 ~relation(sK34_skl)|in(sK36_skl,relation_rng(sK34_skl))),
% 0.11/0.40 inference(resolution,[status(thm)],[f600,f423])).
% 0.11/0.40 fof(f621,plain,(
% 0.11/0.40 ~sQ2_spl|sQ1_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f620,f613,f564])).
% 0.11/0.40 fof(f622,plain,(
% 0.11/0.40 $false),
% 0.11/0.40 inference(sat_refutation,[status(thm)],[f567,f616,f618,f621])).
% 0.11/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.43 % Elapsed time: 0.066365 seconds
% 0.11/0.43 % CPU time: 0.168776 seconds
% 0.11/0.43 % Total memory used: 111.238 MB
% 0.11/0.43 % Net memory used: 111.079 MB
%------------------------------------------------------------------------------