%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU198+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 02:21:58 PM UTC 2026
% Result : Theorem 0.10s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU198+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n011.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 05:56:56 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.39 % Drodi V4.1.1
% 0.10/0.41 % Refutation found
% 0.10/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.41 fof(f3,axiom,(
% 0.10/0.41 (! [A,B] :( subset(A,B)<=> (! [C] :( in(C,A)=> in(C,B) ) )) )),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f22,axiom,(
% 0.10/0.41 (! [A,B,C] :( relation(C)=> ( in(A,relation_rng(relation_rng_restriction(B,C)))<=> ( in(A,B)& in(A,relation_rng(C)) ) ) ) )),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f23,conjecture,(
% 0.10/0.41 (! [A,B] :( relation(B)=> subset(relation_rng(relation_rng_restriction(A,B)),A) ) )),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f24,negated_conjecture,(
% 0.10/0.41 ~((! [A,B] :( relation(B)=> subset(relation_rng(relation_rng_restriction(A,B)),A) ) ))),
% 0.10/0.41 inference(negated_conjecture,[status(cth)],[f23])).
% 0.10/0.41 fof(f37,plain,(
% 0.10/0.41 ![A,B]: (subset(A,B)<=>(![C]: (~in(C,A)|in(C,B))))),
% 0.10/0.41 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.10/0.41 fof(f38,plain,(
% 0.10/0.41 ![A,B]: ((~subset(A,B)|(![C]: (~in(C,A)|in(C,B))))&(subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 0.10/0.41 inference(NNF_transformation,[status(thm)],[f37])).
% 0.10/0.41 fof(f39,plain,(
% 0.10/0.41 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 0.10/0.41 inference(miniscoping,[status(thm)],[f38])).
% 0.10/0.41 fof(f40,plain,(
% 0.10/0.41 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(in(sK0_skl(B,A),A)&~in(sK0_skl(B,A),B))))),
% 0.10/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(C,sK0_skl(B,A))],[f39])).
% 0.10/0.41 fof(f42,plain,(
% 0.10/0.41 ![X0,X1]: (subset(X0,X1)|in(sK0_skl(X1,X0),X0))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f40])).
% 0.10/0.41 fof(f43,plain,(
% 0.10/0.41 ![X0,X1]: (subset(X0,X1)|~in(sK0_skl(X1,X0),X1))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f40])).
% 0.10/0.41 fof(f77,plain,(
% 0.10/0.41 ![A,B,C]: (~relation(C)|(in(A,relation_rng(relation_rng_restriction(B,C)))<=>(in(A,B)&in(A,relation_rng(C)))))),
% 0.10/0.41 inference(pre_NNF_transformation,[status(thm)],[f22])).
% 0.10/0.41 fof(f78,plain,(
% 0.10/0.41 ![A,B,C]: (~relation(C)|((~in(A,relation_rng(relation_rng_restriction(B,C)))|(in(A,B)&in(A,relation_rng(C))))&(in(A,relation_rng(relation_rng_restriction(B,C)))|(~in(A,B)|~in(A,relation_rng(C))))))),
% 0.10/0.41 inference(NNF_transformation,[status(thm)],[f77])).
% 0.10/0.41 fof(f79,plain,(
% 0.10/0.41 ![C]: (~relation(C)|((![A,B]: (~in(A,relation_rng(relation_rng_restriction(B,C)))|(in(A,B)&in(A,relation_rng(C)))))&(![A,B]: (in(A,relation_rng(relation_rng_restriction(B,C)))|(~in(A,B)|~in(A,relation_rng(C)))))))),
% 0.10/0.41 inference(miniscoping,[status(thm)],[f78])).
% 0.10/0.41 fof(f80,plain,(
% 0.10/0.41 ![X0,X1,X2]: (~relation(X0)|~in(X1,relation_rng(relation_rng_restriction(X2,X0)))|in(X1,X2))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f79])).
% 0.10/0.41 fof(f83,plain,(
% 0.10/0.41 (?[A,B]: (relation(B)&~subset(relation_rng(relation_rng_restriction(A,B)),A)))),
% 0.10/0.41 inference(pre_NNF_transformation,[status(thm)],[f24])).
% 0.10/0.41 fof(f84,plain,(
% 0.10/0.41 ?[B]: (relation(B)&(?[A]: ~subset(relation_rng(relation_rng_restriction(A,B)),A)))),
% 0.10/0.41 inference(miniscoping,[status(thm)],[f83])).
% 0.10/0.41 fof(f85,plain,(
% 0.10/0.41 (relation(sK8_skl)&~subset(relation_rng(relation_rng_restriction(sK9_skl,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)],[f84])).
% 0.10/0.41 fof(f86,plain,(
% 0.10/0.41 relation(sK8_skl)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f85])).
% 0.10/0.41 fof(f87,plain,(
% 0.10/0.41 ~subset(relation_rng(relation_rng_restriction(sK9_skl,sK8_skl)),sK9_skl)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f85])).
% 0.10/0.41 fof(f138,plain,(
% 0.10/0.41 ![X0,X1,X2]: (~relation(X0)|in(sK0_skl(X1,relation_rng(relation_rng_restriction(X2,X0))),X2)|subset(relation_rng(relation_rng_restriction(X2,X0)),X1))),
% 0.10/0.41 inference(resolution,[status(thm)],[f80,f42])).
% 0.10/0.41 fof(f277,plain,(
% 0.10/0.41 ![X0,X1]: (in(sK0_skl(X0,relation_rng(relation_rng_restriction(X1,sK8_skl))),X1)|subset(relation_rng(relation_rng_restriction(X1,sK8_skl)),X0))),
% 0.10/0.41 inference(resolution,[status(thm)],[f138,f86])).
% 0.10/0.41 fof(f312,plain,(
% 0.10/0.41 ![X0]: (subset(relation_rng(relation_rng_restriction(X0,sK8_skl)),X0)|subset(relation_rng(relation_rng_restriction(X0,sK8_skl)),X0))),
% 0.10/0.41 inference(resolution,[status(thm)],[f277,f43])).
% 0.10/0.41 fof(f323,plain,(
% 0.10/0.41 ![X0]: (subset(relation_rng(relation_rng_restriction(X0,sK8_skl)),X0))),
% 0.10/0.41 inference(duplicate_literals_removal,[status(thm)],[f312])).
% 0.10/0.41 fof(f324,plain,(
% 0.10/0.41 $false),
% 0.10/0.41 inference(backward_subsumption_resolution,[status(thm)],[f87,f323])).
% 0.10/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.43 % Elapsed time: 0.054651 seconds
% 0.10/0.43 % CPU time: 0.177503 seconds
% 0.10/0.43 % Total memory used: 81.749 MB
% 0.10/0.43 % Net memory used: 81.560 MB
%------------------------------------------------------------------------------