%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU080+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.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 02:21:39 PM UTC 2026
% Result : Theorem 0.17s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU080+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n002.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Mon Sep 21 05:52:33 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.45 % Drodi V4.1.1
% 0.17/0.48 % Refutation found
% 0.17/0.48 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.48 fof(f5,axiom,(
% 0.17/0.48 (! [A,B] :( A = B<=> ( subset(A,B)& subset(B,A) ) ) )),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f24,axiom,(
% 0.17/0.48 (! [A,B,C] :( ( relation(C)& function(C) )=> ( ( subset(relation_inverse_image(C,A),relation_inverse_image(C,B))& subset(A,relation_rng(C)) )=> subset(A,B) ) ) )),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f25,conjecture,(
% 0.17/0.48 (! [A,B,C] :( ( relation(C)& function(C) )=> ( ( relation_inverse_image(C,A) = relation_inverse_image(C,B)& subset(A,relation_rng(C))& subset(B,relation_rng(C)) )=> A = B ) ) )),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f26,negated_conjecture,(
% 0.17/0.48 ~((! [A,B,C] :( ( relation(C)& function(C) )=> ( ( relation_inverse_image(C,A) = relation_inverse_image(C,B)& subset(A,relation_rng(C))& subset(B,relation_rng(C)) )=> A = B ) ) ))),
% 0.17/0.48 inference(negated_conjecture,[status(cth)],[f25])).
% 0.17/0.48 fof(f45,plain,(
% 0.17/0.48 ![A,B]: ((~A=B|(subset(A,B)&subset(B,A)))&(A=B|(~subset(A,B)|~subset(B,A))))),
% 0.17/0.48 inference(NNF_transformation,[status(thm)],[f5])).
% 0.17/0.48 fof(f46,plain,(
% 0.17/0.48 (![A,B]: (~A=B|(subset(A,B)&subset(B,A))))&(![A,B]: (A=B|(~subset(A,B)|~subset(B,A))))),
% 0.17/0.48 inference(miniscoping,[status(thm)],[f45])).
% 0.17/0.48 fof(f47,plain,(
% 0.17/0.48 ![X0,X1]: (~X0=X1|subset(X0,X1))),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f46])).
% 0.17/0.48 fof(f49,plain,(
% 0.17/0.48 ![X0,X1]: (X0=X1|~subset(X0,X1)|~subset(X1,X0))),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f46])).
% 0.17/0.48 fof(f97,plain,(
% 0.17/0.48 ![A,B,C]: ((~relation(C)|~function(C))|((~subset(relation_inverse_image(C,A),relation_inverse_image(C,B))|~subset(A,relation_rng(C)))|subset(A,B)))),
% 0.17/0.48 inference(pre_NNF_transformation,[status(thm)],[f24])).
% 0.17/0.48 fof(f98,plain,(
% 0.17/0.48 ![C]: ((~relation(C)|~function(C))|(![A,B]: ((~subset(relation_inverse_image(C,A),relation_inverse_image(C,B))|~subset(A,relation_rng(C)))|subset(A,B))))),
% 0.17/0.48 inference(miniscoping,[status(thm)],[f97])).
% 0.17/0.48 fof(f99,plain,(
% 0.17/0.48 ![X0,X1,X2]: (~relation(X0)|~function(X0)|~subset(relation_inverse_image(X0,X1),relation_inverse_image(X0,X2))|~subset(X1,relation_rng(X0))|subset(X1,X2))),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f98])).
% 0.17/0.48 fof(f100,plain,(
% 0.17/0.48 (?[A,B,C]: ((relation(C)&function(C))&(((relation_inverse_image(C,A)=relation_inverse_image(C,B)&subset(A,relation_rng(C)))&subset(B,relation_rng(C)))&~A=B)))),
% 0.17/0.48 inference(pre_NNF_transformation,[status(thm)],[f26])).
% 0.17/0.48 fof(f101,plain,(
% 0.17/0.48 ?[C]: ((relation(C)&function(C))&(?[A,B]: (((relation_inverse_image(C,A)=relation_inverse_image(C,B)&subset(A,relation_rng(C)))&subset(B,relation_rng(C)))&~A=B)))),
% 0.17/0.48 inference(miniscoping,[status(thm)],[f100])).
% 0.17/0.48 fof(f102,plain,(
% 0.17/0.48 ((relation(sK11_skl)&function(sK11_skl))&(((relation_inverse_image(sK11_skl,sK12_skl)=relation_inverse_image(sK11_skl,sK13_skl)&subset(sK12_skl,relation_rng(sK11_skl)))&subset(sK13_skl,relation_rng(sK11_skl)))&~sK12_skl=sK13_skl))),
% 0.17/0.48 inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl,sK12_skl,sK13_skl]),skolemize(C,sK11_skl),skolemize(A,sK12_skl),skolemize(B,sK13_skl)],[f101])).
% 0.17/0.48 fof(f103,plain,(
% 0.17/0.48 relation(sK11_skl)),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f102])).
% 0.17/0.48 fof(f104,plain,(
% 0.17/0.48 function(sK11_skl)),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f102])).
% 0.17/0.48 fof(f105,plain,(
% 0.17/0.48 relation_inverse_image(sK11_skl,sK12_skl)=relation_inverse_image(sK11_skl,sK13_skl)),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f102])).
% 0.17/0.48 fof(f106,plain,(
% 0.17/0.48 subset(sK12_skl,relation_rng(sK11_skl))),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f102])).
% 0.17/0.48 fof(f107,plain,(
% 0.17/0.48 subset(sK13_skl,relation_rng(sK11_skl))),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f102])).
% 0.17/0.48 fof(f108,plain,(
% 0.17/0.48 ~sK12_skl=sK13_skl),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f102])).
% 0.17/0.48 fof(f131,plain,(
% 0.17/0.48 ![X0]: (subset(X0,X0))),
% 0.17/0.48 inference(destructive_equality_resolution,[status(thm)],[f47])).
% 0.17/0.48 fof(f138,plain,(
% 0.17/0.48 ![X0,X1]: (~relation(sK11_skl)|~subset(relation_inverse_image(sK11_skl,X0),relation_inverse_image(sK11_skl,X1))|~subset(X0,relation_rng(sK11_skl))|subset(X0,X1))),
% 0.17/0.49 inference(resolution,[status(thm)],[f99,f104])).
% 0.17/0.49 fof(f140,plain,(
% 0.17/0.49 ![X0,X1]: (~subset(relation_inverse_image(sK11_skl,X0),relation_inverse_image(sK11_skl,X1))|~subset(X0,relation_rng(sK11_skl))|subset(X0,X1))),
% 0.17/0.49 inference(forward_subsumption_resolution,[status(thm)],[f138,f103])).
% 0.17/0.49 fof(f145,plain,(
% 0.17/0.49 ![X0]: (~subset(relation_inverse_image(sK11_skl,sK12_skl),relation_inverse_image(sK11_skl,X0))|~subset(sK13_skl,relation_rng(sK11_skl))|subset(sK13_skl,X0))),
% 0.17/0.49 inference(paramodulation,[status(thm)],[f105,f140])).
% 0.17/0.49 fof(f146,plain,(
% 0.17/0.49 ![X0]: (~subset(relation_inverse_image(sK11_skl,X0),relation_inverse_image(sK11_skl,sK12_skl))|~subset(X0,relation_rng(sK11_skl))|subset(X0,sK13_skl))),
% 0.17/0.49 inference(paramodulation,[status(thm)],[f105,f140])).
% 0.17/0.49 fof(f147,plain,(
% 0.17/0.49 ![X0]: (~subset(relation_inverse_image(sK11_skl,sK12_skl),relation_inverse_image(sK11_skl,X0))|subset(sK13_skl,X0))),
% 0.17/0.49 inference(forward_subsumption_resolution,[status(thm)],[f145,f107])).
% 0.17/0.49 fof(f148,plain,(
% 0.17/0.49 subset(sK13_skl,sK12_skl)),
% 0.17/0.49 inference(resolution,[status(thm)],[f147,f131])).
% 0.17/0.49 fof(f150,plain,(
% 0.17/0.49 ~subset(sK12_skl,relation_rng(sK11_skl))|subset(sK12_skl,sK13_skl)),
% 0.17/0.49 inference(resolution,[status(thm)],[f146,f131])).
% 0.17/0.49 fof(f152,plain,(
% 0.17/0.49 subset(sK12_skl,sK13_skl)),
% 0.17/0.49 inference(forward_subsumption_resolution,[status(thm)],[f150,f106])).
% 0.17/0.49 fof(f153,plain,(
% 0.17/0.49 sK12_skl=sK13_skl|~subset(sK12_skl,sK13_skl)),
% 0.17/0.49 inference(resolution,[status(thm)],[f148,f49])).
% 0.17/0.49 fof(f154,plain,(
% 0.17/0.49 ~subset(sK12_skl,sK13_skl)),
% 0.17/0.49 inference(forward_subsumption_resolution,[status(thm)],[f153,f108])).
% 0.17/0.49 fof(f161,plain,(
% 0.17/0.49 $false),
% 0.17/0.49 inference(forward_subsumption_resolution,[status(thm)],[f154,f152])).
% 0.17/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.24/0.53 % Elapsed time: 0.078735 seconds
% 0.24/0.53 % CPU time: 0.193359 seconds
% 0.24/0.53 % Total memory used: 102.513 MB
% 0.24/0.53 % Net memory used: 102.490 MB
%------------------------------------------------------------------------------