%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU186+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 : n011.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 02:21:55 PM UTC 2026
% Result : Theorem 0.14s 15.89s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU186+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.14/15.87 % CPULimit : 300
% 0.14/15.87 % WCLimit : 300
% 0.14/15.87 % DateTime : Mon Sep 21 05:56:26 UTC 2026
% 0.14/15.87 % CPUTime :
% 0.14/15.88 % Drodi V4.1.1
% 0.14/15.89 % Refutation found
% 0.14/15.89 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/15.89 % SZS output start CNFRefutation for theBenchmark
% 0.14/15.89 fof(f4,axiom,(
% 0.14/15.89 (! [A] :( relation(A)<=> (! [B] :~ ( in(B,A)& (! [C,D] : B != ordered_pair(C,D) )) )) )),
% 0.14/15.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/15.89 fof(f11,axiom,(
% 0.14/15.89 (! [A] :(? [B] : element(B,A) ))),
% 0.14/15.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/15.89 fof(f22,axiom,(
% 0.14/15.89 (! [A,B] :( element(A,B)=> ( empty(B)| in(A,B) ) ) )),
% 0.14/15.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/15.89 fof(f23,conjecture,(
% 0.14/15.89 (! [A] :( relation(A)=> ( (! [B,C] : ~ in(ordered_pair(B,C),A))=> A = empty_set ) ) )),
% 0.14/15.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/15.89 fof(f24,negated_conjecture,(
% 0.14/15.89 ~((! [A] :( relation(A)=> ( (! [B,C] : ~ in(ordered_pair(B,C),A))=> A = empty_set ) ) ))),
% 0.14/15.89 inference(negated_conjecture,[status(cth)],[f23])).
% 0.14/15.89 fof(f25,axiom,(
% 0.14/15.89 (! [A] :( empty(A)=> A = empty_set ) )),
% 0.14/15.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/15.89 fof(f33,plain,(
% 0.14/15.89 ![A]: (relation(A)<=>(![B]: (~in(B,A)|(?[C,D]: B=ordered_pair(C,D)))))),
% 0.14/15.89 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.14/15.89 fof(f34,plain,(
% 0.14/15.89 ![A]: ((~relation(A)|(![B]: (~in(B,A)|(?[C,D]: B=ordered_pair(C,D)))))&(relation(A)|(?[B]: (in(B,A)&(![C,D]: ~B=ordered_pair(C,D))))))),
% 0.14/15.89 inference(NNF_transformation,[status(thm)],[f33])).
% 0.14/15.89 fof(f35,plain,(
% 0.14/15.89 (![A]: (~relation(A)|(![B]: (~in(B,A)|(?[C,D]: B=ordered_pair(C,D))))))&(![A]: (relation(A)|(?[B]: (in(B,A)&(![C,D]: ~B=ordered_pair(C,D))))))),
% 0.14/15.89 inference(miniscoping,[status(thm)],[f34])).
% 0.14/15.89 fof(f36,plain,(
% 0.14/15.89 (![A]: (~relation(A)|(![B]: (~in(B,A)|B=ordered_pair(sK0_skl(B,A),sK1_skl(B,A))))))&(![A]: (relation(A)|(in(sK2_skl(A),A)&(![C,D]: ~sK2_skl(A)=ordered_pair(C,D)))))),
% 0.14/15.89 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(C,sK0_skl(B,A)),skolemize(D,sK1_skl(B,A)),skolemize(B,sK2_skl(A))],[f35])).
% 0.14/15.89 fof(f37,plain,(
% 0.14/15.89 ![X0,X1]: (~relation(X0)|~in(X1,X0)|X1=ordered_pair(sK0_skl(X1,X0),sK1_skl(X1,X0)))),
% 0.14/15.89 inference(cnf_transformation,[status(thm)],[f36])).
% 0.14/15.89 fof(f41,plain,(
% 0.14/15.89 ![A]: element(sK3_skl(A),A)),
% 0.14/15.89 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(B,sK3_skl(A))],[f11])).
% 0.14/15.89 fof(f42,plain,(
% 0.14/15.89 ![X0]: (element(sK3_skl(X0),X0))),
% 0.14/15.89 inference(cnf_transformation,[status(thm)],[f41])).
% 0.14/15.89 fof(f61,plain,(
% 0.14/15.89 ![A,B]: (~element(A,B)|(empty(B)|in(A,B)))),
% 0.14/15.89 inference(pre_NNF_transformation,[status(thm)],[f22])).
% 0.14/15.89 fof(f62,plain,(
% 0.14/15.89 ![X0,X1]: (~element(X0,X1)|empty(X1)|in(X0,X1))),
% 0.14/15.89 inference(cnf_transformation,[status(thm)],[f61])).
% 0.14/15.89 fof(f63,plain,(
% 0.14/15.89 (?[A]: (relation(A)&((![B,C]: ~in(ordered_pair(B,C),A))&~A=empty_set)))),
% 0.14/15.89 inference(pre_NNF_transformation,[status(thm)],[f24])).
% 0.14/15.89 fof(f64,plain,(
% 0.14/15.89 (relation(sK8_skl)&((![B,C]: ~in(ordered_pair(B,C),sK8_skl))&~sK8_skl=empty_set))),
% 0.14/15.89 inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl]),skolemize(A,sK8_skl)],[f63])).
% 0.14/15.89 fof(f65,plain,(
% 0.14/15.89 relation(sK8_skl)),
% 0.14/15.89 inference(cnf_transformation,[status(thm)],[f64])).
% 0.14/15.89 fof(f66,plain,(
% 0.14/15.89 ![X0,X1]: (~in(ordered_pair(X0,X1),sK8_skl))),
% 0.14/15.89 inference(cnf_transformation,[status(thm)],[f64])).
% 0.14/15.89 fof(f67,plain,(
% 0.14/15.89 ~sK8_skl=empty_set),
% 0.14/15.89 inference(cnf_transformation,[status(thm)],[f64])).
% 0.14/15.89 fof(f68,plain,(
% 0.14/15.89 ![A]: (~empty(A)|A=empty_set)),
% 0.14/15.89 inference(pre_NNF_transformation,[status(thm)],[f25])).
% 0.14/15.89 fof(f69,plain,(
% 0.14/15.89 ![X0]: (~empty(X0)|X0=empty_set)),
% 0.14/15.89 inference(cnf_transformation,[status(thm)],[f68])).
% 0.14/15.89 fof(f94,plain,(
% 0.14/15.89 ![X0]: (empty(X0)|in(sK3_skl(X0),X0))),
% 0.14/15.89 inference(resolution,[status(thm)],[f62,f42])).
% 0.14/15.89 fof(f95,plain,(
% 0.14/15.89 ![X0]: (empty(X0)|~relation(X0)|sK3_skl(X0)=ordered_pair(sK0_skl(sK3_skl(X0),X0),sK1_skl(sK3_skl(X0),X0)))),
% 0.14/15.89 inference(resolution,[status(thm)],[f94,f37])).
% 0.14/15.89 fof(f100,plain,(
% 0.14/15.89 empty(sK8_skl)|sK3_skl(sK8_skl)=ordered_pair(sK0_skl(sK3_skl(sK8_skl),sK8_skl),sK1_skl(sK3_skl(sK8_skl),sK8_skl))),
% 0.14/15.89 inference(resolution,[status(thm)],[f95,f65])).
% 0.14/15.89 fof(f117,definition,(
% 0.14/15.89 sQ4_spl <=> (empty(sK8_skl))),
% 0.14/15.89 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/15.89 fof(f118,plain,(
% 0.14/15.89 empty(sK8_skl)|~sQ4_spl),
% 0.56/15.91 inference(component_clause,[status(thm)],[f117])).
% 0.56/15.91 fof(f120,definition,(
% 0.56/15.91 sQ5_spl <=> (sK3_skl(sK8_skl)=ordered_pair(sK0_skl(sK3_skl(sK8_skl),sK8_skl),sK1_skl(sK3_skl(sK8_skl),sK8_skl)))),
% 0.56/15.91 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.56/15.91 fof(f121,plain,(
% 0.56/15.91 sK3_skl(sK8_skl)=ordered_pair(sK0_skl(sK3_skl(sK8_skl),sK8_skl),sK1_skl(sK3_skl(sK8_skl),sK8_skl))|~sQ5_spl),
% 0.56/15.91 inference(component_clause,[status(thm)],[f120])).
% 0.56/15.91 fof(f123,plain,(
% 0.56/15.91 sQ4_spl|sQ5_spl),
% 0.56/15.91 inference(split_clause,[status(thm)],[f100,f117,f120])).
% 0.56/15.91 fof(f128,plain,(
% 0.56/15.91 sK8_skl=empty_set|~sQ4_spl),
% 0.56/15.91 inference(resolution,[status(thm)],[f69,f118])).
% 0.56/15.91 fof(f133,plain,(
% 0.56/15.91 $false|~sQ4_spl),
% 0.56/15.91 inference(forward_subsumption_resolution,[status(thm)],[f128,f67])).
% 0.56/15.91 fof(f134,plain,(
% 0.56/15.91 ~sQ4_spl),
% 0.56/15.91 inference(contradiction_clause,[status(thm)],[f133])).
% 0.56/15.91 fof(f139,plain,(
% 0.56/15.91 ~in(sK3_skl(sK8_skl),sK8_skl)|~sQ5_spl),
% 0.56/15.91 inference(paramodulation,[status(thm)],[f121,f66])).
% 0.56/15.91 fof(f140,definition,(
% 0.56/15.91 sQ6_spl <=> (sK8_skl=empty_set)),
% 0.56/15.91 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.56/15.91 fof(f141,plain,(
% 0.56/15.91 sK8_skl=empty_set|~sQ6_spl),
% 0.56/15.91 inference(component_clause,[status(thm)],[f140])).
% 0.56/15.91 fof(f159,plain,(
% 0.56/15.91 $false|~sQ6_spl),
% 0.56/15.91 inference(forward_subsumption_resolution,[status(thm)],[f141,f67])).
% 0.56/15.91 fof(f160,plain,(
% 0.56/15.91 ~sQ6_spl),
% 0.56/15.91 inference(contradiction_clause,[status(thm)],[f159])).
% 0.56/15.91 fof(f180,plain,(
% 0.56/15.91 empty(sK8_skl)|~sQ5_spl),
% 0.56/15.91 inference(resolution,[status(thm)],[f139,f94])).
% 0.56/15.91 fof(f181,plain,(
% 0.56/15.91 sQ4_spl|~sQ5_spl),
% 0.56/15.91 inference(split_clause,[status(thm)],[f180,f117,f120])).
% 0.56/15.91 fof(f182,plain,(
% 0.56/15.91 $false),
% 0.56/15.91 inference(sat_refutation,[status(thm)],[f123,f134,f160,f181])).
% 0.56/15.91 % SZS output end CNFRefutation for theBenchmark.p
% 0.56/15.94 % Elapsed time: 0.061346 seconds
% 0.56/15.94 % CPU time: 0.098577 seconds
% 0.56/15.94 % Total memory used: 12.974 MB
% 0.56/15.94 % Net memory used: 12.960 MB
%------------------------------------------------------------------------------