%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU112+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 : n007.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 0.15s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU112+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
% 0.11/0.36 % Computer : n007.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 05:48:36 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.15/0.38 % Drodi V4.1.1
% 0.15/0.40 % Refutation found
% 0.15/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.40 fof(f7,axiom,(
% 0.15/0.40 (! [A,B] : set_union2(A,B) = set_union2(B,A) )),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f30,axiom,(
% 0.15/0.40 (! [A,B] :( subset(A,B)=> subset(finite_subsets(A),finite_subsets(B)) ) )),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f31,conjecture,(
% 0.15/0.40 (! [A,B] : subset(set_union2(finite_subsets(A),finite_subsets(B)),finite_subsets(set_union2(A,B))) )),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f32,negated_conjecture,(
% 0.15/0.40 ~((! [A,B] : subset(set_union2(finite_subsets(A),finite_subsets(B)),finite_subsets(set_union2(A,B))) ))),
% 0.15/0.40 inference(negated_conjecture,[status(cth)],[f31])).
% 0.15/0.40 fof(f39,axiom,(
% 0.15/0.40 (! [A,B] : subset(A,set_union2(A,B)) )),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f41,axiom,(
% 0.15/0.40 (! [A,B,C] :( ( subset(A,B)& subset(C,B) )=> subset(set_union2(A,C),B) ) )),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f56,plain,(
% 0.15/0.40 ![X0,X1]: (set_union2(X0,X1)=set_union2(X1,X0))),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.15/0.40 fof(f128,plain,(
% 0.15/0.40 ![A,B]: (~subset(A,B)|subset(finite_subsets(A),finite_subsets(B)))),
% 0.15/0.40 inference(pre_NNF_transformation,[status(thm)],[f30])).
% 0.15/0.40 fof(f129,plain,(
% 0.15/0.40 ![X0,X1]: (~subset(X0,X1)|subset(finite_subsets(X0),finite_subsets(X1)))),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f128])).
% 0.15/0.40 fof(f130,plain,(
% 0.15/0.40 (?[A,B]: ~subset(set_union2(finite_subsets(A),finite_subsets(B)),finite_subsets(set_union2(A,B))))),
% 0.15/0.40 inference(pre_NNF_transformation,[status(thm)],[f32])).
% 0.15/0.40 fof(f131,plain,(
% 0.15/0.40 ~subset(set_union2(finite_subsets(sK10_skl),finite_subsets(sK11_skl)),finite_subsets(set_union2(sK10_skl,sK11_skl)))),
% 0.15/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK10_skl,sK11_skl]),skolemize(A,sK10_skl),skolemize(B,sK11_skl)],[f130])).
% 0.15/0.40 fof(f132,plain,(
% 0.15/0.40 ~subset(set_union2(finite_subsets(sK10_skl),finite_subsets(sK11_skl)),finite_subsets(set_union2(sK10_skl,sK11_skl)))),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f131])).
% 0.15/0.40 fof(f150,plain,(
% 0.15/0.40 ![X0,X1]: (subset(X0,set_union2(X0,X1)))),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f39])).
% 0.15/0.40 fof(f154,plain,(
% 0.15/0.40 ![A,B,C]: ((~subset(A,B)|~subset(C,B))|subset(set_union2(A,C),B))),
% 0.15/0.40 inference(pre_NNF_transformation,[status(thm)],[f41])).
% 0.15/0.40 fof(f155,plain,(
% 0.15/0.40 ![X0,X1,X2]: (~subset(X0,X1)|~subset(X2,X1)|subset(set_union2(X0,X2),X1))),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f154])).
% 0.15/0.40 fof(f170,plain,(
% 0.15/0.40 ![X0,X1]: (subset(X0,set_union2(X1,X0)))),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f56,f150])).
% 0.15/0.40 fof(f177,plain,(
% 0.15/0.40 ~subset(finite_subsets(sK10_skl),finite_subsets(set_union2(sK10_skl,sK11_skl)))|~subset(finite_subsets(sK11_skl),finite_subsets(set_union2(sK10_skl,sK11_skl)))),
% 0.15/0.40 inference(resolution,[status(thm)],[f155,f132])).
% 0.15/0.40 fof(f186,plain,(
% 0.15/0.40 ~subset(finite_subsets(sK10_skl),finite_subsets(set_union2(sK10_skl,sK11_skl)))|~subset(sK11_skl,set_union2(sK10_skl,sK11_skl))),
% 0.15/0.40 inference(resolution,[status(thm)],[f177,f129])).
% 0.15/0.40 fof(f187,plain,(
% 0.15/0.40 ~subset(finite_subsets(sK10_skl),finite_subsets(set_union2(sK10_skl,sK11_skl)))),
% 0.15/0.40 inference(forward_subsumption_resolution,[status(thm)],[f186,f170])).
% 0.15/0.40 fof(f188,plain,(
% 0.15/0.40 ~subset(sK10_skl,set_union2(sK10_skl,sK11_skl))),
% 0.15/0.40 inference(resolution,[status(thm)],[f187,f129])).
% 0.15/0.40 fof(f189,plain,(
% 0.15/0.40 $false),
% 0.15/0.40 inference(forward_subsumption_resolution,[status(thm)],[f188,f150])).
% 0.15/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.42 % Elapsed time: 0.054218 seconds
% 0.15/0.42 % CPU time: 0.155876 seconds
% 0.15/0.42 % Total memory used: 103.046 MB
% 0.15/0.42 % Net memory used: 103.009 MB
%------------------------------------------------------------------------------