%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET605+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.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 02:12:17 PM UTC 2026
% Result : Theorem 0.13s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET605+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.36 % Computer : n013.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Mon Sep 21 05:27:50 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.38 fof(f1,axiom,(
% 0.13/0.38 (! [B,C] : subset(B,union(B,C)) )),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f2,axiom,(
% 0.13/0.38 (! [B,C] :( difference(B,C) = empty_set<=> subset(B,C) ) )),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f7,axiom,(
% 0.13/0.38 (! [B,C] : union(B,C) = union(C,B) )),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f12,conjecture,(
% 0.13/0.38 (! [B,C] : difference(B,union(B,C)) = empty_set )),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f13,negated_conjecture,(
% 0.13/0.38 ~((! [B,C] : difference(B,union(B,C)) = empty_set ))),
% 0.13/0.38 inference(negated_conjecture,[status(cth)],[f12])).
% 0.13/0.38 fof(f14,plain,(
% 0.13/0.38 ![X0,X1]: (subset(X0,union(X0,X1)))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.38 fof(f15,plain,(
% 0.13/0.38 ![B,C]: ((~difference(B,C)=empty_set|subset(B,C))&(difference(B,C)=empty_set|~subset(B,C)))),
% 0.13/0.38 inference(NNF_transformation,[status(thm)],[f2])).
% 0.13/0.38 fof(f16,plain,(
% 0.13/0.38 (![B,C]: (~difference(B,C)=empty_set|subset(B,C)))&(![B,C]: (difference(B,C)=empty_set|~subset(B,C)))),
% 0.13/0.38 inference(miniscoping,[status(thm)],[f15])).
% 0.13/0.38 fof(f18,plain,(
% 0.13/0.38 ![X0,X1]: (difference(X0,X1)=empty_set|~subset(X0,X1))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/0.38 fof(f35,plain,(
% 0.13/0.38 ![X0,X1]: (union(X0,X1)=union(X1,X0))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.38 fof(f56,plain,(
% 0.13/0.38 (?[B,C]: ~difference(B,union(B,C))=empty_set)),
% 0.13/0.38 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 0.13/0.38 fof(f57,plain,(
% 0.13/0.38 ~difference(sK3_skl,union(sK3_skl,sK4_skl))=empty_set),
% 0.13/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl]),skolemize(B,sK3_skl),skolemize(C,sK4_skl)],[f56])).
% 0.13/0.38 fof(f58,plain,(
% 0.13/0.38 ~difference(sK3_skl,union(sK3_skl,sK4_skl))=empty_set),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f57])).
% 0.13/0.38 fof(f65,plain,(
% 0.13/0.38 ~difference(sK3_skl,union(sK4_skl,sK3_skl))=empty_set),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f35,f58])).
% 0.13/0.38 fof(f66,plain,(
% 0.13/0.38 ![X0,X1]: (subset(X0,union(X1,X0)))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f35,f14])).
% 0.13/0.38 fof(f71,plain,(
% 0.13/0.38 ![X0,X1]: (difference(X0,union(X1,X0))=empty_set)),
% 0.13/0.38 inference(resolution,[status(thm)],[f18,f66])).
% 0.13/0.38 fof(f73,plain,(
% 0.13/0.38 ~empty_set=empty_set),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f71,f65])).
% 0.13/0.38 fof(f78,plain,(
% 0.13/0.38 $false),
% 0.13/0.38 inference(trivial_equality_resolution,[status(thm)],[f73])).
% 0.13/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41 % Elapsed time: 0.043525 seconds
% 0.13/0.41 % CPU time: 0.133326 seconds
% 0.13/0.41 % Total memory used: 101.653 MB
% 0.13/0.41 % Net memory used: 101.301 MB
%------------------------------------------------------------------------------