%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU245+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 : n014.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 02:22:07 PM UTC 2026
% Result : Theorem 0.08s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU245+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
% 0.08/0.36 % Computer : n014.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 06:02:50 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.08/0.40 % Refutation found
% 0.08/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.40 fof(f24,axiom,(
% 0.08/0.40 (! [A] :( relation(A)=> (! [B] : relation_restriction(A,B) = set_intersection2(A,cartesian_product2(B,B)) )) )),
% 0.08/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f25,conjecture,(
% 0.08/0.40 (! [A,B,C] :( relation(C)=> ( in(A,relation_restriction(C,B))<=> ( in(A,C)& in(A,cartesian_product2(B,B)) ) ) ) )),
% 0.08/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f26,negated_conjecture,(
% 0.08/0.40 ~((! [A,B,C] :( relation(C)=> ( in(A,relation_restriction(C,B))<=> ( in(A,C)& in(A,cartesian_product2(B,B)) ) ) ) ))),
% 0.08/0.40 inference(negated_conjecture,[status(cth)],[f25])).
% 0.08/0.40 fof(f27,axiom,(
% 0.08/0.40 (! [A,B,C] :( C = set_intersection2(A,B)<=> (! [D] :( in(D,C)<=> ( in(D,A)& in(D,B) ) ) )) )),
% 0.08/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f73,plain,(
% 0.08/0.40 ![A]: (~relation(A)|(![B]: relation_restriction(A,B)=set_intersection2(A,cartesian_product2(B,B))))),
% 0.08/0.40 inference(pre_NNF_transformation,[status(thm)],[f24])).
% 0.08/0.40 fof(f74,plain,(
% 0.08/0.40 ![X0,X1]: (~relation(X0)|relation_restriction(X0,X1)=set_intersection2(X0,cartesian_product2(X1,X1)))),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f73])).
% 0.08/0.40 fof(f75,plain,(
% 0.08/0.40 (?[A,B,C]: (relation(C)&(in(A,relation_restriction(C,B))<~>(in(A,C)&in(A,cartesian_product2(B,B))))))),
% 0.08/0.40 inference(pre_NNF_transformation,[status(thm)],[f26])).
% 0.08/0.40 fof(f76,plain,(
% 0.08/0.40 ?[A,B,C]: (relation(C)&((in(A,relation_restriction(C,B))|(in(A,C)&in(A,cartesian_product2(B,B))))&(~in(A,relation_restriction(C,B))|(~in(A,C)|~in(A,cartesian_product2(B,B))))))),
% 0.08/0.40 inference(NNF_transformation,[status(thm)],[f75])).
% 0.08/0.40 fof(f77,plain,(
% 0.08/0.40 ?[C]: (relation(C)&(?[A,B]: ((in(A,relation_restriction(C,B))|(in(A,C)&in(A,cartesian_product2(B,B))))&(~in(A,relation_restriction(C,B))|(~in(A,C)|~in(A,cartesian_product2(B,B)))))))),
% 0.08/0.40 inference(miniscoping,[status(thm)],[f76])).
% 0.08/0.40 fof(f78,plain,(
% 0.08/0.40 (relation(sK6_skl)&((in(sK7_skl,relation_restriction(sK6_skl,sK8_skl))|(in(sK7_skl,sK6_skl)&in(sK7_skl,cartesian_product2(sK8_skl,sK8_skl))))&(~in(sK7_skl,relation_restriction(sK6_skl,sK8_skl))|(~in(sK7_skl,sK6_skl)|~in(sK7_skl,cartesian_product2(sK8_skl,sK8_skl))))))),
% 0.08/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl,sK7_skl,sK8_skl]),skolemize(C,sK6_skl),skolemize(A,sK7_skl),skolemize(B,sK8_skl)],[f77])).
% 0.08/0.40 fof(f79,plain,(
% 0.08/0.40 relation(sK6_skl)),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f78])).
% 0.08/0.40 fof(f80,plain,(
% 0.08/0.40 in(sK7_skl,relation_restriction(sK6_skl,sK8_skl))|in(sK7_skl,sK6_skl)),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f78])).
% 0.08/0.40 fof(f81,plain,(
% 0.08/0.40 in(sK7_skl,relation_restriction(sK6_skl,sK8_skl))|in(sK7_skl,cartesian_product2(sK8_skl,sK8_skl))),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f78])).
% 0.08/0.40 fof(f82,plain,(
% 0.08/0.40 ~in(sK7_skl,relation_restriction(sK6_skl,sK8_skl))|~in(sK7_skl,sK6_skl)|~in(sK7_skl,cartesian_product2(sK8_skl,sK8_skl))),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f78])).
% 0.08/0.40 fof(f83,plain,(
% 0.08/0.40 ![A,B,C]: ((~C=set_intersection2(A,B)|(![D]: ((~in(D,C)|(in(D,A)&in(D,B)))&(in(D,C)|(~in(D,A)|~in(D,B))))))&(C=set_intersection2(A,B)|(?[D]: ((~in(D,C)|(~in(D,A)|~in(D,B)))&(in(D,C)|(in(D,A)&in(D,B)))))))),
% 0.08/0.40 inference(NNF_transformation,[status(thm)],[f27])).
% 0.08/0.40 fof(f84,plain,(
% 0.08/0.40 (![A,B,C]: (~C=set_intersection2(A,B)|((![D]: (~in(D,C)|(in(D,A)&in(D,B))))&(![D]: (in(D,C)|(~in(D,A)|~in(D,B)))))))&(![A,B,C]: (C=set_intersection2(A,B)|(?[D]: ((~in(D,C)|(~in(D,A)|~in(D,B)))&(in(D,C)|(in(D,A)&in(D,B)))))))),
% 0.08/0.40 inference(miniscoping,[status(thm)],[f83])).
% 0.08/0.40 fof(f85,plain,(
% 0.08/0.40 (![A,B,C]: (~C=set_intersection2(A,B)|((![D]: (~in(D,C)|(in(D,A)&in(D,B))))&(![D]: (in(D,C)|(~in(D,A)|~in(D,B)))))))&(![A,B,C]: (C=set_intersection2(A,B)|((~in(sK9_skl(C,B,A),C)|(~in(sK9_skl(C,B,A),A)|~in(sK9_skl(C,B,A),B)))&(in(sK9_skl(C,B,A),C)|(in(sK9_skl(C,B,A),A)&in(sK9_skl(C,B,A),B))))))),
% 0.08/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl]),skolemize(D,sK9_skl(C,B,A))],[f84])).
% 0.08/0.40 fof(f86,plain,(
% 0.08/0.40 ![X0,X1,X2,X3]: (~X0=set_intersection2(X1,X2)|~in(X3,X0)|in(X3,X1))),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f85])).
% 0.08/0.40 fof(f87,plain,(
% 0.08/0.40 ![X0,X1,X2,X3]: (~X0=set_intersection2(X1,X2)|~in(X3,X0)|in(X3,X2))),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f85])).
% 0.08/0.40 fof(f88,plain,(
% 0.08/0.40 ![X0,X1,X2,X3]: (~X0=set_intersection2(X1,X2)|in(X3,X0)|~in(X3,X1)|~in(X3,X2))),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f85])).
% 0.08/0.40 fof(f93,plain,(
% 0.08/0.40 ![X0,X1,X2]: (~in(X0,set_intersection2(X1,X2))|in(X0,X1))),
% 0.08/0.40 inference(destructive_equality_resolution,[status(thm)],[f86])).
% 0.08/0.40 fof(f94,plain,(
% 0.08/0.40 ![X0,X1,X2]: (~in(X0,set_intersection2(X1,X2))|in(X0,X2))),
% 0.08/0.40 inference(destructive_equality_resolution,[status(thm)],[f87])).
% 0.08/0.40 fof(f95,plain,(
% 0.08/0.40 ![X0,X1,X2]: (in(X0,set_intersection2(X1,X2))|~in(X0,X1)|~in(X0,X2))),
% 0.08/0.40 inference(destructive_equality_resolution,[status(thm)],[f88])).
% 0.08/0.40 fof(f99,plain,(
% 0.08/0.40 ![X0]: (relation_restriction(sK6_skl,X0)=set_intersection2(sK6_skl,cartesian_product2(X0,X0)))),
% 0.08/0.40 inference(resolution,[status(thm)],[f74,f79])).
% 0.08/0.40 fof(f259,plain,(
% 0.08/0.40 ![X0,X1]: (~in(X0,relation_restriction(sK6_skl,X1))|in(X0,sK6_skl))),
% 0.08/0.40 inference(paramodulation,[status(thm)],[f99,f93])).
% 0.08/0.40 fof(f264,plain,(
% 0.08/0.40 in(sK7_skl,sK6_skl)),
% 0.08/0.40 inference(backward_subsumption_resolution,[status(thm)],[f80,f259])).
% 0.08/0.40 fof(f265,plain,(
% 0.08/0.40 ~in(sK7_skl,relation_restriction(sK6_skl,sK8_skl))|~in(sK7_skl,cartesian_product2(sK8_skl,sK8_skl))),
% 0.08/0.40 inference(backward_subsumption_resolution,[status(thm)],[f82,f259])).
% 0.08/0.40 fof(f280,plain,(
% 0.08/0.40 ![X0,X1]: (~in(X0,relation_restriction(sK6_skl,X1))|in(X0,cartesian_product2(X1,X1)))),
% 0.08/0.40 inference(paramodulation,[status(thm)],[f99,f94])).
% 0.08/0.40 fof(f285,plain,(
% 0.08/0.40 in(sK7_skl,cartesian_product2(sK8_skl,sK8_skl))),
% 0.08/0.40 inference(backward_subsumption_resolution,[status(thm)],[f81,f280])).
% 0.08/0.40 fof(f286,plain,(
% 0.08/0.40 ~in(sK7_skl,relation_restriction(sK6_skl,sK8_skl))),
% 0.08/0.40 inference(backward_subsumption_resolution,[status(thm)],[f265,f280])).
% 0.08/0.40 fof(f296,plain,(
% 0.08/0.40 ![X0]: (in(sK7_skl,set_intersection2(X0,cartesian_product2(sK8_skl,sK8_skl)))|~in(sK7_skl,X0))),
% 0.08/0.40 inference(resolution,[status(thm)],[f285,f95])).
% 0.08/0.40 fof(f304,plain,(
% 0.08/0.40 in(sK7_skl,set_intersection2(sK6_skl,cartesian_product2(sK8_skl,sK8_skl)))),
% 0.08/0.40 inference(resolution,[status(thm)],[f296,f264])).
% 0.08/0.40 fof(f306,plain,(
% 0.08/0.40 in(sK7_skl,relation_restriction(sK6_skl,sK8_skl))),
% 0.08/0.40 inference(forward_demodulation,[status(thm)],[f99,f304])).
% 0.08/0.40 fof(f307,plain,(
% 0.08/0.40 $false),
% 0.08/0.40 inference(forward_subsumption_resolution,[status(thm)],[f306,f286])).
% 0.08/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/0.43 % Elapsed time: 0.060599 seconds
% 0.08/0.43 % CPU time: 0.192414 seconds
% 0.08/0.43 % Total memory used: 103.950 MB
% 0.08/0.43 % Net memory used: 103.666 MB
%------------------------------------------------------------------------------