%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU107+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/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 02:21:41 PM UTC 2026
% Result : Theorem 0.16s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU107+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n002.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 05:53:31 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.16/0.38 % Drodi V4.1.1
% 0.16/0.40 % Refutation found
% 0.16/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.40 fof(f6,axiom,(
% 0.16/0.40 (! [A,B,C] :( ( ~ empty(A)& preboolean(A)& element(B,A)& element(C,A) )=> element(prebool_difference(A,B,C),A) ) )),
% 0.16/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.40 fof(f7,axiom,(
% 0.16/0.40 (! [A] :(? [B] : element(B,A) ))),
% 0.16/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.40 fof(f20,axiom,(
% 0.16/0.40 (! [A,B,C] :( ( ~ empty(A)& preboolean(A)& element(B,A)& element(C,A) )=> prebool_difference(A,B,C) = set_difference(B,C) ) )),
% 0.16/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.40 fof(f21,axiom,(
% 0.16/0.40 (! [A,B] : subset(A,A) )),
% 0.16/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.40 fof(f22,conjecture,(
% 0.16/0.40 (! [A] :( ( ~ empty(A)& preboolean(A) )=> in(empty_set,A) ) )),
% 0.16/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.40 fof(f23,negated_conjecture,(
% 0.16/0.40 ~((! [A] :( ( ~ empty(A)& preboolean(A) )=> in(empty_set,A) ) ))),
% 0.16/0.40 inference(negated_conjecture,[status(cth)],[f22])).
% 0.16/0.40 fof(f25,axiom,(
% 0.16/0.40 (! [A,B] :( element(A,B)=> ( empty(B)| in(A,B) ) ) )),
% 0.16/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.40 fof(f26,axiom,(
% 0.16/0.40 (! [A,B] :( set_difference(A,B) = empty_set<=> subset(A,B) ) )),
% 0.16/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.40 fof(f46,plain,(
% 0.16/0.40 ![A,B,C]: ((((empty(A)|~preboolean(A))|~element(B,A))|~element(C,A))|element(prebool_difference(A,B,C),A))),
% 0.16/0.40 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.16/0.40 fof(f47,plain,(
% 0.16/0.40 ![X0,X1,X2]: (empty(X0)|~preboolean(X0)|~element(X1,X0)|~element(X2,X0)|element(prebool_difference(X0,X1,X2),X0))),
% 0.16/0.40 inference(cnf_transformation,[status(thm)],[f46])).
% 0.16/0.40 fof(f48,plain,(
% 0.16/0.40 ![A]: element(sK0_skl(A),A)),
% 0.16/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(B,sK0_skl(A))],[f7])).
% 0.16/0.40 fof(f49,plain,(
% 0.16/0.40 ![X0]: (element(sK0_skl(X0),X0))),
% 0.16/0.40 inference(cnf_transformation,[status(thm)],[f48])).
% 0.16/0.40 fof(f96,plain,(
% 0.16/0.40 ![A,B,C]: ((((empty(A)|~preboolean(A))|~element(B,A))|~element(C,A))|prebool_difference(A,B,C)=set_difference(B,C))),
% 0.16/0.40 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 0.16/0.40 fof(f97,plain,(
% 0.16/0.40 ![X0,X1,X2]: (empty(X0)|~preboolean(X0)|~element(X1,X0)|~element(X2,X0)|prebool_difference(X0,X1,X2)=set_difference(X1,X2))),
% 0.16/0.40 inference(cnf_transformation,[status(thm)],[f96])).
% 0.16/0.40 fof(f98,plain,(
% 0.16/0.40 ![A]: subset(A,A)),
% 0.16/0.40 inference(miniscoping,[status(thm)],[f21])).
% 0.16/0.40 fof(f99,plain,(
% 0.16/0.40 ![X0]: (subset(X0,X0))),
% 0.16/0.40 inference(cnf_transformation,[status(thm)],[f98])).
% 0.16/0.40 fof(f100,plain,(
% 0.16/0.40 (?[A]: ((~empty(A)&preboolean(A))&~in(empty_set,A)))),
% 0.16/0.40 inference(pre_NNF_transformation,[status(thm)],[f23])).
% 0.16/0.40 fof(f101,plain,(
% 0.16/0.40 ((~empty(sK10_skl)&preboolean(sK10_skl))&~in(empty_set,sK10_skl))),
% 0.16/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK10_skl]),skolemize(A,sK10_skl)],[f100])).
% 0.16/0.40 fof(f102,plain,(
% 0.16/0.40 ~empty(sK10_skl)),
% 0.16/0.40 inference(cnf_transformation,[status(thm)],[f101])).
% 0.16/0.40 fof(f103,plain,(
% 0.16/0.40 preboolean(sK10_skl)),
% 0.16/0.40 inference(cnf_transformation,[status(thm)],[f101])).
% 0.16/0.40 fof(f104,plain,(
% 0.16/0.40 ~in(empty_set,sK10_skl)),
% 0.16/0.40 inference(cnf_transformation,[status(thm)],[f101])).
% 0.16/0.40 fof(f107,plain,(
% 0.16/0.40 ![A,B]: (~element(A,B)|(empty(B)|in(A,B)))),
% 0.16/0.40 inference(pre_NNF_transformation,[status(thm)],[f25])).
% 0.16/0.40 fof(f108,plain,(
% 0.16/0.40 ![X0,X1]: (~element(X0,X1)|empty(X1)|in(X0,X1))),
% 0.16/0.40 inference(cnf_transformation,[status(thm)],[f107])).
% 0.16/0.40 fof(f109,plain,(
% 0.16/0.40 ![A,B]: ((~set_difference(A,B)=empty_set|subset(A,B))&(set_difference(A,B)=empty_set|~subset(A,B)))),
% 0.16/0.40 inference(NNF_transformation,[status(thm)],[f26])).
% 0.16/0.40 fof(f110,plain,(
% 0.16/0.40 (![A,B]: (~set_difference(A,B)=empty_set|subset(A,B)))&(![A,B]: (set_difference(A,B)=empty_set|~subset(A,B)))),
% 0.16/0.40 inference(miniscoping,[status(thm)],[f109])).
% 0.16/0.40 fof(f112,plain,(
% 0.16/0.40 ![X0,X1]: (set_difference(X0,X1)=empty_set|~subset(X0,X1))),
% 0.16/0.40 inference(cnf_transformation,[status(thm)],[f110])).
% 0.16/0.40 fof(f159,plain,(
% 0.16/0.40 ![X0,X1]: (empty(X0)|~preboolean(X0)|~element(X1,X0)|element(prebool_difference(X0,X1,sK0_skl(X0)),X0))),
% 0.16/0.40 inference(resolution,[status(thm)],[f49,f47])).
% 0.16/0.40 fof(f207,plain,(
% 0.16/0.40 ![X0]: (set_difference(X0,X0)=empty_set)),
% 0.16/0.41 inference(resolution,[status(thm)],[f112,f99])).
% 0.16/0.41 fof(f219,plain,(
% 0.16/0.41 ![X0,X1]: (empty(sK10_skl)|~element(X0,sK10_skl)|~element(X1,sK10_skl)|prebool_difference(sK10_skl,X0,X1)=set_difference(X0,X1))),
% 0.16/0.41 inference(resolution,[status(thm)],[f97,f103])).
% 0.16/0.41 fof(f221,plain,(
% 0.16/0.41 ![X0,X1]: (~element(X0,sK10_skl)|~element(X1,sK10_skl)|prebool_difference(sK10_skl,X0,X1)=set_difference(X0,X1))),
% 0.16/0.41 inference(forward_subsumption_resolution,[status(thm)],[f219,f102])).
% 0.16/0.41 fof(f223,plain,(
% 0.16/0.41 ![X0]: (~element(X0,sK10_skl)|prebool_difference(sK10_skl,X0,sK0_skl(sK10_skl))=set_difference(X0,sK0_skl(sK10_skl)))),
% 0.16/0.41 inference(resolution,[status(thm)],[f221,f49])).
% 0.16/0.41 fof(f227,plain,(
% 0.16/0.41 prebool_difference(sK10_skl,sK0_skl(sK10_skl),sK0_skl(sK10_skl))=set_difference(sK0_skl(sK10_skl),sK0_skl(sK10_skl))),
% 0.16/0.41 inference(resolution,[status(thm)],[f223,f49])).
% 0.16/0.41 fof(f229,plain,(
% 0.16/0.41 prebool_difference(sK10_skl,sK0_skl(sK10_skl),sK0_skl(sK10_skl))=empty_set),
% 0.16/0.41 inference(forward_demodulation,[status(thm)],[f207,f227])).
% 0.16/0.41 fof(f290,plain,(
% 0.16/0.41 ![X0]: (empty(sK10_skl)|~element(X0,sK10_skl)|element(prebool_difference(sK10_skl,X0,sK0_skl(sK10_skl)),sK10_skl))),
% 0.16/0.41 inference(resolution,[status(thm)],[f159,f103])).
% 0.16/0.41 fof(f292,plain,(
% 0.16/0.41 ![X0]: (~element(X0,sK10_skl)|element(prebool_difference(sK10_skl,X0,sK0_skl(sK10_skl)),sK10_skl))),
% 0.16/0.41 inference(forward_subsumption_resolution,[status(thm)],[f290,f102])).
% 0.16/0.41 fof(f294,plain,(
% 0.16/0.41 element(prebool_difference(sK10_skl,sK0_skl(sK10_skl),sK0_skl(sK10_skl)),sK10_skl)),
% 0.16/0.41 inference(resolution,[status(thm)],[f292,f49])).
% 0.16/0.41 fof(f296,plain,(
% 0.16/0.41 element(empty_set,sK10_skl)),
% 0.16/0.41 inference(forward_demodulation,[status(thm)],[f229,f294])).
% 0.16/0.41 fof(f305,plain,(
% 0.16/0.41 empty(sK10_skl)|in(empty_set,sK10_skl)),
% 0.16/0.41 inference(resolution,[status(thm)],[f296,f108])).
% 0.16/0.41 fof(f312,plain,(
% 0.16/0.41 in(empty_set,sK10_skl)),
% 0.16/0.41 inference(forward_subsumption_resolution,[status(thm)],[f305,f102])).
% 0.16/0.41 fof(f313,plain,(
% 0.16/0.41 $false),
% 0.16/0.41 inference(backward_subsumption_resolution,[status(thm)],[f104,f312])).
% 0.16/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.43 % Elapsed time: 0.053658 seconds
% 0.16/0.43 % CPU time: 0.172420 seconds
% 0.16/0.43 % Total memory used: 103.784 MB
% 0.16/0.43 % Net memory used: 103.660 MB
%------------------------------------------------------------------------------