%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU211+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 02:22:00 PM UTC 2026
% Result : Theorem 161.46s 20.92s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU211+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.41 % Computer : n009.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Mon Sep 21 05:58:28 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.43 % Drodi V4.1.1
% 161.46/20.92 % Refutation found
% 161.46/20.92 % SZS status Theorem for theBenchmark: Theorem is valid
% 161.46/20.92 % SZS output start CNFRefutation for theBenchmark
% 161.46/20.92 fof(f4,axiom,(
% 161.46/20.92 (! [A] :( relation(A)=> (! [B,C] :( C = relation_inverse_image(A,B)<=> (! [D] :( in(D,C)<=> (? [E] :( in(ordered_pair(D,E),A)& in(E,B) ) )) )) )) )),
% 161.46/20.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 161.46/20.92 fof(f5,axiom,(
% 161.46/20.92 (! [A,B] :( subset(A,B)<=> (! [C] :( in(C,A)=> in(C,B) ) )) )),
% 161.46/20.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 161.46/20.92 fof(f28,conjecture,(
% 161.46/20.92 (! [A,B,C] :( relation(C)=> ( subset(A,B)=> subset(relation_inverse_image(C,A),relation_inverse_image(C,B)) ) ) )),
% 161.46/20.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 161.46/20.92 fof(f29,negated_conjecture,(
% 161.46/20.92 ~((! [A,B,C] :( relation(C)=> ( subset(A,B)=> subset(relation_inverse_image(C,A),relation_inverse_image(C,B)) ) ) ))),
% 161.46/20.92 inference(negated_conjecture,[status(cth)],[f28])).
% 161.46/20.92 fof(f43,plain,(
% 161.46/20.92 ![A]: (~relation(A)|(![B,C]: (C=relation_inverse_image(A,B)<=>(![D]: (in(D,C)<=>(?[E]: (in(ordered_pair(D,E),A)&in(E,B))))))))),
% 161.46/20.93 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 161.46/20.93 fof(f44,plain,(
% 161.46/20.93 ![A]: (~relation(A)|(![B,C]: ((~C=relation_inverse_image(A,B)|(![D]: ((~in(D,C)|(?[E]: (in(ordered_pair(D,E),A)&in(E,B))))&(in(D,C)|(![E]: (~in(ordered_pair(D,E),A)|~in(E,B)))))))&(C=relation_inverse_image(A,B)|(?[D]: ((~in(D,C)|(![E]: (~in(ordered_pair(D,E),A)|~in(E,B))))&(in(D,C)|(?[E]: (in(ordered_pair(D,E),A)&in(E,B))))))))))),
% 161.46/20.93 inference(NNF_transformation,[status(thm)],[f43])).
% 161.46/20.93 fof(f45,plain,(
% 161.46/20.93 ![A]: (~relation(A)|((![B,C]: (~C=relation_inverse_image(A,B)|((![D]: (~in(D,C)|(?[E]: (in(ordered_pair(D,E),A)&in(E,B)))))&(![D]: (in(D,C)|(![E]: (~in(ordered_pair(D,E),A)|~in(E,B))))))))&(![B,C]: (C=relation_inverse_image(A,B)|(?[D]: ((~in(D,C)|(![E]: (~in(ordered_pair(D,E),A)|~in(E,B))))&(in(D,C)|(?[E]: (in(ordered_pair(D,E),A)&in(E,B))))))))))),
% 161.46/20.93 inference(miniscoping,[status(thm)],[f44])).
% 161.46/20.93 fof(f46,plain,(
% 161.46/20.93 ![A]: (~relation(A)|((![B,C]: (~C=relation_inverse_image(A,B)|((![D]: (~in(D,C)|(in(ordered_pair(D,sK0_skl(D,C,B,A)),A)&in(sK0_skl(D,C,B,A),B))))&(![D]: (in(D,C)|(![E]: (~in(ordered_pair(D,E),A)|~in(E,B))))))))&(![B,C]: (C=relation_inverse_image(A,B)|((~in(sK1_skl(C,B,A),C)|(![E]: (~in(ordered_pair(sK1_skl(C,B,A),E),A)|~in(E,B))))&(in(sK1_skl(C,B,A),C)|(in(ordered_pair(sK1_skl(C,B,A),sK2_skl(C,B,A)),A)&in(sK2_skl(C,B,A),B))))))))),
% 161.46/20.93 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(E,sK0_skl(D,C,B,A)),skolemize(D,sK1_skl(C,B,A)),skolemize(E,sK2_skl(C,B,A))],[f45])).
% 161.46/20.93 fof(f47,plain,(
% 161.46/20.93 ![X0,X1,X2,X3]: (~relation(X0)|~X1=relation_inverse_image(X0,X2)|~in(X3,X1)|in(ordered_pair(X3,sK0_skl(X3,X1,X2,X0)),X0))),
% 161.46/20.93 inference(cnf_transformation,[status(thm)],[f46])).
% 161.46/20.93 fof(f48,plain,(
% 161.46/20.93 ![X0,X1,X2,X3]: (~relation(X0)|~X1=relation_inverse_image(X0,X2)|~in(X3,X1)|in(sK0_skl(X3,X1,X2,X0),X2))),
% 161.46/20.93 inference(cnf_transformation,[status(thm)],[f46])).
% 161.46/20.93 fof(f49,plain,(
% 161.46/20.93 ![X0,X1,X2,X3,X4]: (~relation(X0)|~X1=relation_inverse_image(X0,X2)|in(X3,X1)|~in(ordered_pair(X3,X4),X0)|~in(X4,X2))),
% 161.46/20.93 inference(cnf_transformation,[status(thm)],[f46])).
% 161.46/20.93 fof(f53,plain,(
% 161.46/20.93 ![A,B]: (subset(A,B)<=>(![C]: (~in(C,A)|in(C,B))))),
% 161.46/20.93 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 161.46/20.93 fof(f54,plain,(
% 161.46/20.93 ![A,B]: ((~subset(A,B)|(![C]: (~in(C,A)|in(C,B))))&(subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 161.46/20.93 inference(NNF_transformation,[status(thm)],[f53])).
% 161.46/20.93 fof(f55,plain,(
% 161.46/20.93 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 161.46/20.93 inference(miniscoping,[status(thm)],[f54])).
% 161.46/20.93 fof(f56,plain,(
% 161.46/20.93 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(in(sK3_skl(B,A),A)&~in(sK3_skl(B,A),B))))),
% 161.46/20.93 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(C,sK3_skl(B,A))],[f55])).
% 161.46/20.93 fof(f57,plain,(
% 161.46/20.93 ![X0,X1,X2]: (~subset(X0,X1)|~in(X2,X0)|in(X2,X1))),
% 161.46/20.93 inference(cnf_transformation,[status(thm)],[f56])).
% 161.46/20.93 fof(f58,plain,(
% 161.46/20.93 ![X0,X1]: (subset(X0,X1)|in(sK3_skl(X1,X0),X0))),
% 161.46/20.93 inference(cnf_transformation,[status(thm)],[f56])).
% 161.46/20.93 fof(f59,plain,(
% 161.46/20.93 ![X0,X1]: (subset(X0,X1)|~in(sK3_skl(X1,X0),X1))),
% 161.46/20.93 inference(cnf_transformation,[status(thm)],[f56])).
% 161.46/20.93 fof(f89,plain,(
% 161.46/20.93 (?[A,B,C]: (relation(C)&(subset(A,B)&~subset(relation_inverse_image(C,A),relation_inverse_image(C,B)))))),
% 161.46/20.93 inference(pre_NNF_transformation,[status(thm)],[f29])).
% 161.46/20.93 fof(f90,plain,(
% 161.46/20.93 ?[C]: (relation(C)&(?[A,B]: (subset(A,B)&~subset(relation_inverse_image(C,A),relation_inverse_image(C,B)))))),
% 161.46/20.93 inference(miniscoping,[status(thm)],[f89])).
% 161.46/20.93 fof(f91,plain,(
% 161.46/20.93 (relation(sK11_skl)&(subset(sK12_skl,sK13_skl)&~subset(relation_inverse_image(sK11_skl,sK12_skl),relation_inverse_image(sK11_skl,sK13_skl))))),
% 161.46/20.93 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)],[f90])).
% 161.46/20.93 fof(f92,plain,(
% 161.46/20.93 relation(sK11_skl)),
% 161.46/20.93 inference(cnf_transformation,[status(thm)],[f91])).
% 161.46/20.93 fof(f93,plain,(
% 161.46/20.93 subset(sK12_skl,sK13_skl)),
% 161.46/20.93 inference(cnf_transformation,[status(thm)],[f91])).
% 161.46/20.93 fof(f94,plain,(
% 161.46/20.93 ~subset(relation_inverse_image(sK11_skl,sK12_skl),relation_inverse_image(sK11_skl,sK13_skl))),
% 161.46/20.93 inference(cnf_transformation,[status(thm)],[f91])).
% 161.46/20.93 fof(f117,plain,(
% 161.46/20.93 ![X0,X1,X2]: (~relation(X0)|~in(X1,relation_inverse_image(X0,X2))|in(ordered_pair(X1,sK0_skl(X1,relation_inverse_image(X0,X2),X2,X0)),X0))),
% 161.46/20.93 inference(destructive_equality_resolution,[status(thm)],[f47])).
% 161.46/20.93 fof(f118,plain,(
% 161.46/20.93 ![X0,X1,X2]: (~relation(X0)|~in(X1,relation_inverse_image(X0,X2))|in(sK0_skl(X1,relation_inverse_image(X0,X2),X2,X0),X2))),
% 161.46/20.93 inference(destructive_equality_resolution,[status(thm)],[f48])).
% 161.46/20.93 fof(f119,plain,(
% 161.46/20.93 ![X0,X1,X2,X3]: (~relation(X0)|in(X1,relation_inverse_image(X0,X2))|~in(ordered_pair(X1,X3),X0)|~in(X3,X2))),
% 161.46/20.93 inference(destructive_equality_resolution,[status(thm)],[f49])).
% 161.46/20.93 fof(f120,plain,(
% 161.46/20.93 ![X0]: (~in(X0,sK12_skl)|in(X0,sK13_skl))),
% 161.46/20.93 inference(resolution,[status(thm)],[f57,f93])).
% 161.46/20.93 fof(f130,plain,(
% 161.46/20.93 ![X0,X1,X2]: (subset(relation_inverse_image(X0,X1),X2)|~relation(X0)|in(sK0_skl(sK3_skl(X2,relation_inverse_image(X0,X1)),relation_inverse_image(X0,X1),X1,X0),X1))),
% 161.46/20.93 inference(resolution,[status(thm)],[f58,f118])).
% 161.46/20.93 fof(f131,plain,(
% 161.46/20.93 ![X0,X1,X2]: (subset(relation_inverse_image(X0,X1),X2)|~relation(X0)|in(ordered_pair(sK3_skl(X2,relation_inverse_image(X0,X1)),sK0_skl(sK3_skl(X2,relation_inverse_image(X0,X1)),relation_inverse_image(X0,X1),X1,X0)),X0))),
% 161.46/20.93 inference(resolution,[status(thm)],[f58,f117])).
% 161.46/20.93 fof(f339,plain,(
% 161.46/20.93 ![X0,X1]: (subset(relation_inverse_image(sK11_skl,X0),X1)|in(sK0_skl(sK3_skl(X1,relation_inverse_image(sK11_skl,X0)),relation_inverse_image(sK11_skl,X0),X0,sK11_skl),X0))),
% 161.46/20.93 inference(resolution,[status(thm)],[f130,f92])).
% 161.46/20.93 fof(f367,plain,(
% 161.46/20.93 ![X0]: (subset(relation_inverse_image(sK11_skl,sK12_skl),X0)|in(sK0_skl(sK3_skl(X0,relation_inverse_image(sK11_skl,sK12_skl)),relation_inverse_image(sK11_skl,sK12_skl),sK12_skl,sK11_skl),sK13_skl))),
% 161.46/20.93 inference(resolution,[status(thm)],[f339,f120])).
% 161.46/20.93 fof(f412,plain,(
% 161.46/20.93 ![X0,X1]: (subset(relation_inverse_image(sK11_skl,X0),X1)|in(ordered_pair(sK3_skl(X1,relation_inverse_image(sK11_skl,X0)),sK0_skl(sK3_skl(X1,relation_inverse_image(sK11_skl,X0)),relation_inverse_image(sK11_skl,X0),X0,sK11_skl)),sK11_skl))),
% 161.46/20.93 inference(resolution,[status(thm)],[f131,f92])).
% 161.46/20.93 fof(f769,plain,(
% 161.46/20.93 ![X0,X1,X2]: (subset(relation_inverse_image(sK11_skl,X0),X1)|~relation(sK11_skl)|in(sK3_skl(X1,relation_inverse_image(sK11_skl,X0)),relation_inverse_image(sK11_skl,X2))|~in(sK0_skl(sK3_skl(X1,relation_inverse_image(sK11_skl,X0)),relation_inverse_image(sK11_skl,X0),X0,sK11_skl),X2))),
% 161.46/20.93 inference(resolution,[status(thm)],[f412,f119])).
% 161.46/20.93 fof(f772,plain,(
% 161.46/20.93 ![X0,X1,X2]: (subset(relation_inverse_image(sK11_skl,X0),X1)|in(sK3_skl(X1,relation_inverse_image(sK11_skl,X0)),relation_inverse_image(sK11_skl,X2))|~in(sK0_skl(sK3_skl(X1,relation_inverse_image(sK11_skl,X0)),relation_inverse_image(sK11_skl,X0),X0,sK11_skl),X2))),
% 161.46/20.93 inference(forward_subsumption_resolution,[status(thm)],[f769,f92])).
% 161.46/20.93 fof(f8237,plain,(
% 161.46/20.93 ![X0]: (subset(relation_inverse_image(sK11_skl,sK12_skl),X0)|in(sK3_skl(X0,relation_inverse_image(sK11_skl,sK12_skl)),relation_inverse_image(sK11_skl,sK13_skl))|subset(relation_inverse_image(sK11_skl,sK12_skl),X0))),
% 119.12/21.00 inference(resolution,[status(thm)],[f772,f367])).
% 119.12/21.00 fof(f8242,plain,(
% 119.12/21.00 ![X0]: (subset(relation_inverse_image(sK11_skl,sK12_skl),X0)|in(sK3_skl(X0,relation_inverse_image(sK11_skl,sK12_skl)),relation_inverse_image(sK11_skl,sK13_skl)))),
% 119.12/21.00 inference(duplicate_literals_removal,[status(thm)],[f8237])).
% 119.12/21.00 fof(f43577,plain,(
% 119.12/21.00 subset(relation_inverse_image(sK11_skl,sK12_skl),relation_inverse_image(sK11_skl,sK13_skl))|subset(relation_inverse_image(sK11_skl,sK12_skl),relation_inverse_image(sK11_skl,sK13_skl))),
% 119.12/21.00 inference(resolution,[status(thm)],[f8242,f59])).
% 119.12/21.00 fof(f43583,plain,(
% 119.12/21.00 subset(relation_inverse_image(sK11_skl,sK12_skl),relation_inverse_image(sK11_skl,sK13_skl))),
% 119.12/21.00 inference(duplicate_literals_removal,[status(thm)],[f43577])).
% 119.12/21.00 fof(f43584,plain,(
% 119.12/21.00 $false),
% 119.12/21.00 inference(forward_subsumption_resolution,[status(thm)],[f43583,f94])).
% 119.12/21.00 % SZS output end CNFRefutation for theBenchmark.p
% 16.07/21.06 % Elapsed time: 20.626278 seconds
% 16.07/21.06 % CPU time: 162.697874 seconds
% 16.07/21.06 % Total memory used: 691.928 MB
% 16.07/21.06 % Net memory used: 640.456 MB
%------------------------------------------------------------------------------