%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU120+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 02:21:42 PM UTC 2026
% Result : Theorem 0.16s 0.50s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU120+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
% 0.16/0.47 % Computer : n009.cluster.edu
% 0.16/0.47 % Model : x86_64 x86_64
% 0.16/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.47 % Memory : 8046.5625MB
% 0.16/0.47 % OS : Linux 6.8.0-71-generic
% 0.16/0.47 % CPULimit : 300
% 0.16/0.47 % WCLimit : 300
% 0.16/0.47 % DateTime : Mon Sep 21 05:51:27 UTC 2026
% 0.16/0.47 % CPUTime :
% 0.16/0.48 % Drodi V4.1.1
% 0.16/0.50 % Refutation found
% 0.16/0.50 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.50 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.50 fof(f3,axiom,(
% 0.16/0.50 (! [A] :( A = empty_set<=> (! [B] : ~ in(B,A) )) )),
% 0.16/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.50 fof(f4,axiom,(
% 0.16/0.50 (! [A,B] :( disjoint(A,B)<=> set_intersection2(A,B) = empty_set ) )),
% 0.16/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.50 fof(f12,conjecture,(
% 0.16/0.50 (! [A,B] :( ~ ( ~ disjoint(A,B)& (! [C] : ~ in(C,set_intersection2(A,B)) ))& ~ ( (? [C] : in(C,set_intersection2(A,B)))& disjoint(A,B) ) ) )),
% 0.16/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.50 fof(f13,negated_conjecture,(
% 0.16/0.50 ~((! [A,B] :( ~ ( ~ disjoint(A,B)& (! [C] : ~ in(C,set_intersection2(A,B)) ))& ~ ( (? [C] : in(C,set_intersection2(A,B)))& disjoint(A,B) ) ) ))),
% 0.16/0.50 inference(negated_conjecture,[status(cth)],[f12])).
% 0.16/0.50 fof(f17,plain,(
% 0.16/0.50 ![A]: ((~A=empty_set|(![B]: ~in(B,A)))&(A=empty_set|(?[B]: in(B,A))))),
% 0.16/0.50 inference(NNF_transformation,[status(thm)],[f3])).
% 0.16/0.50 fof(f18,plain,(
% 0.16/0.50 (![A]: (~A=empty_set|(![B]: ~in(B,A))))&(![A]: (A=empty_set|(?[B]: in(B,A))))),
% 0.16/0.50 inference(miniscoping,[status(thm)],[f17])).
% 0.16/0.50 fof(f19,plain,(
% 0.16/0.50 (![A]: (~A=empty_set|(![B]: ~in(B,A))))&(![A]: (A=empty_set|in(sK0_skl(A),A)))),
% 0.16/0.50 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(B,sK0_skl(A))],[f18])).
% 0.16/0.50 fof(f20,plain,(
% 0.16/0.50 ![X0,X1]: (~X0=empty_set|~in(X1,X0))),
% 0.16/0.50 inference(cnf_transformation,[status(thm)],[f19])).
% 0.16/0.50 fof(f21,plain,(
% 0.16/0.50 ![X0]: (X0=empty_set|in(sK0_skl(X0),X0))),
% 0.16/0.50 inference(cnf_transformation,[status(thm)],[f19])).
% 0.16/0.50 fof(f22,plain,(
% 0.16/0.50 ![A,B]: ((~disjoint(A,B)|set_intersection2(A,B)=empty_set)&(disjoint(A,B)|~set_intersection2(A,B)=empty_set))),
% 0.16/0.50 inference(NNF_transformation,[status(thm)],[f4])).
% 0.16/0.50 fof(f23,plain,(
% 0.16/0.50 (![A,B]: (~disjoint(A,B)|set_intersection2(A,B)=empty_set))&(![A,B]: (disjoint(A,B)|~set_intersection2(A,B)=empty_set))),
% 0.16/0.50 inference(miniscoping,[status(thm)],[f22])).
% 0.16/0.50 fof(f24,plain,(
% 0.16/0.50 ![X0,X1]: (~disjoint(X0,X1)|set_intersection2(X0,X1)=empty_set)),
% 0.16/0.50 inference(cnf_transformation,[status(thm)],[f23])).
% 0.16/0.50 fof(f25,plain,(
% 0.16/0.50 ![X0,X1]: (disjoint(X0,X1)|~set_intersection2(X0,X1)=empty_set)),
% 0.16/0.50 inference(cnf_transformation,[status(thm)],[f23])).
% 0.16/0.50 fof(f35,plain,(
% 0.16/0.50 (?[A,B]: ((~disjoint(A,B)&(![C]: ~in(C,set_intersection2(A,B))))|((?[C]: in(C,set_intersection2(A,B)))&disjoint(A,B))))),
% 0.16/0.50 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 0.16/0.50 fof(f36,definition,(
% 0.16/0.50 ![A,B]: (sP0_prd(B,A)<=>(~disjoint(A,B)&(![C]: ~in(C,set_intersection2(A,B)))))),
% 0.16/0.50 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.16/0.50 fof(f37,plain,(
% 0.16/0.50 ?[A,B]: (sP0_prd(B,A)|((?[C]: in(C,set_intersection2(A,B)))&disjoint(A,B)))),
% 0.16/0.50 inference(formula_renaming,[status(thm)],[f35,f36])).
% 0.16/0.50 fof(f38,plain,(
% 0.16/0.50 (?[A,B]: sP0_prd(B,A))|(?[A,B]: ((?[C]: in(C,set_intersection2(A,B)))&disjoint(A,B)))),
% 0.16/0.50 inference(miniscoping,[status(thm)],[f37])).
% 0.16/0.50 fof(f39,plain,(
% 0.16/0.50 sP0_prd(sK4_skl,sK3_skl)|(in(sK7_skl,set_intersection2(sK5_skl,sK6_skl))&disjoint(sK5_skl,sK6_skl))),
% 0.16/0.50 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl,sK5_skl,sK6_skl,sK7_skl]),skolemize(A,sK3_skl),skolemize(B,sK4_skl),skolemize(A,sK5_skl),skolemize(B,sK6_skl),skolemize(C,sK7_skl)],[f38])).
% 0.16/0.50 fof(f40,plain,(
% 0.16/0.50 sP0_prd(sK4_skl,sK3_skl)|in(sK7_skl,set_intersection2(sK5_skl,sK6_skl))),
% 0.16/0.50 inference(cnf_transformation,[status(thm)],[f39])).
% 0.16/0.50 fof(f41,plain,(
% 0.16/0.50 sP0_prd(sK4_skl,sK3_skl)|disjoint(sK5_skl,sK6_skl)),
% 0.16/0.50 inference(cnf_transformation,[status(thm)],[f39])).
% 0.16/0.50 fof(f42,plain,(
% 0.16/0.50 ![A,B]: ((~sP0_prd(B,A)|(~disjoint(A,B)&(![C]: ~in(C,set_intersection2(A,B)))))&(sP0_prd(B,A)|(disjoint(A,B)|(?[C]: in(C,set_intersection2(A,B))))))),
% 0.16/0.50 inference(NNF_transformation,[status(thm)],[f36])).
% 0.16/0.50 fof(f43,plain,(
% 0.16/0.50 (![A,B]: (~sP0_prd(B,A)|(~disjoint(A,B)&(![C]: ~in(C,set_intersection2(A,B))))))&(![A,B]: (sP0_prd(B,A)|(disjoint(A,B)|(?[C]: in(C,set_intersection2(A,B))))))),
% 0.16/0.50 inference(miniscoping,[status(thm)],[f42])).
% 0.16/0.50 fof(f44,plain,(
% 0.16/0.50 (![A,B]: (~sP0_prd(B,A)|(~disjoint(A,B)&(![C]: ~in(C,set_intersection2(A,B))))))&(![A,B]: (sP0_prd(B,A)|(disjoint(A,B)|in(sK8_skl(B,A),set_intersection2(A,B)))))),
% 0.16/0.51 inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl]),skolemize(C,sK8_skl(B,A))],[f43])).
% 0.16/0.51 fof(f45,plain,(
% 0.16/0.51 ![X0,X1]: (~sP0_prd(X0,X1)|~disjoint(X1,X0))),
% 0.16/0.51 inference(cnf_transformation,[status(thm)],[f44])).
% 0.16/0.51 fof(f46,plain,(
% 0.16/0.51 ![X0,X1,X2]: (~sP0_prd(X0,X1)|~in(X2,set_intersection2(X1,X0)))),
% 0.16/0.51 inference(cnf_transformation,[status(thm)],[f44])).
% 0.16/0.51 fof(f48,plain,(
% 0.16/0.51 ![X0]: (~in(X0,empty_set))),
% 0.16/0.51 inference(destructive_equality_resolution,[status(thm)],[f20])).
% 0.16/0.51 fof(f72,plain,(
% 0.16/0.51 ![X0,X1]: (set_intersection2(X0,X1)=empty_set|~sP0_prd(X1,X0))),
% 0.16/0.51 inference(resolution,[status(thm)],[f21,f46])).
% 0.16/0.51 fof(f74,plain,(
% 0.16/0.51 set_intersection2(sK5_skl,sK6_skl)=empty_set|sP0_prd(sK4_skl,sK3_skl)),
% 0.16/0.51 inference(resolution,[status(thm)],[f24,f41])).
% 0.16/0.51 fof(f77,plain,(
% 0.16/0.51 ![X0,X1]: (~set_intersection2(X0,X1)=empty_set|~sP0_prd(X1,X0))),
% 0.16/0.51 inference(resolution,[status(thm)],[f25,f45])).
% 0.16/0.51 fof(f79,plain,(
% 0.16/0.51 in(sK7_skl,set_intersection2(sK5_skl,sK6_skl))),
% 0.16/0.51 inference(backward_subsumption_resolution,[status(thm)],[f40,f88])).
% 0.16/0.51 fof(f82,plain,(
% 0.16/0.51 set_intersection2(sK5_skl,sK6_skl)=empty_set),
% 0.16/0.51 inference(backward_subsumption_resolution,[status(thm)],[f74,f88])).
% 0.16/0.51 fof(f88,plain,(
% 0.16/0.51 ![X0,X1]: (~sP0_prd(X0,X1))),
% 0.16/0.51 inference(forward_subsumption_resolution,[status(thm)],[f77,f72])).
% 0.16/0.51 fof(f89,plain,(
% 0.16/0.51 in(sK7_skl,empty_set)),
% 0.16/0.51 inference(backward_demodulation,[status(thm)],[f82,f79])).
% 0.16/0.51 fof(f91,plain,(
% 0.16/0.51 $false),
% 0.16/0.51 inference(forward_subsumption_resolution,[status(thm)],[f89,f48])).
% 0.16/0.51 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.57 % Elapsed time: 0.089082 seconds
% 0.21/0.57 % CPU time: 0.131733 seconds
% 0.21/0.57 % Total memory used: 28.931 MB
% 0.21/0.57 % Net memory used: 28.876 MB
%------------------------------------------------------------------------------