%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU354+2 : 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 : n019.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 02:22:24 PM UTC 2026
% Result : Theorem 0.25s 0.81s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU354+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n019.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Mon Sep 21 06:15:04 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.25/0.51 % Drodi V4.1.1
% 0.25/0.81 % Refutation found
% 0.25/0.81 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.25/0.81 % SZS output start CNFRefutation for theBenchmark
% 0.25/0.81 fof(f102,axiom,(
% 0.25/0.81 (! [A,B] :( element(B,A)=> ( proper_element(B,A)<=> B != union(A) ) ) )),
% 0.25/0.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.25/0.81 fof(f398,axiom,(
% 0.25/0.81 (! [A] : k1_pcomps_1(A) = powerset(A) )),
% 0.25/0.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.25/0.81 fof(f627,conjecture,(
% 0.25/0.81 (! [A,B] :( element(B,powerset(A))=> ( proper_element(B,powerset(A))<=> B != A ) ) )),
% 0.25/0.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.25/0.81 fof(f628,negated_conjecture,(
% 0.25/0.81 ~((! [A,B] :( element(B,powerset(A))=> ( proper_element(B,powerset(A))<=> B != A ) ) ))),
% 0.25/0.81 inference(negated_conjecture,[status(cth)],[f627])).
% 0.25/0.81 fof(f668,lemma,(
% 0.25/0.81 (! [A] : union(powerset(A)) = A )),
% 0.25/0.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.25/0.81 fof(f1193,plain,(
% 0.25/0.81 ![A,B]: (~element(B,A)|(proper_element(B,A)<=>~B=union(A)))),
% 0.25/0.81 inference(pre_NNF_transformation,[status(thm)],[f102])).
% 0.25/0.81 fof(f1194,plain,(
% 0.25/0.81 ![A,B]: (~element(B,A)|((~proper_element(B,A)|~B=union(A))&(proper_element(B,A)|B=union(A))))),
% 0.25/0.81 inference(NNF_transformation,[status(thm)],[f1193])).
% 0.25/0.81 fof(f1195,plain,(
% 0.25/0.81 ![X0,X1]: (~element(X0,X1)|~proper_element(X0,X1)|~X0=union(X1))),
% 0.25/0.81 inference(cnf_transformation,[status(thm)],[f1194])).
% 0.25/0.81 fof(f1196,plain,(
% 0.25/0.81 ![X0,X1]: (~element(X0,X1)|proper_element(X0,X1)|X0=union(X1))),
% 0.25/0.81 inference(cnf_transformation,[status(thm)],[f1194])).
% 0.25/0.81 fof(f2295,plain,(
% 0.25/0.81 ![X0]: (k1_pcomps_1(X0)=powerset(X0))),
% 0.25/0.81 inference(cnf_transformation,[status(thm)],[f398])).
% 0.25/0.81 fof(f3374,plain,(
% 0.25/0.81 (?[A,B]: (element(B,powerset(A))&(proper_element(B,powerset(A))<~>~B=A)))),
% 0.25/0.81 inference(pre_NNF_transformation,[status(thm)],[f628])).
% 0.25/0.81 fof(f3375,plain,(
% 0.25/0.81 ?[A,B]: (element(B,powerset(A))&((proper_element(B,powerset(A))|~B=A)&(~proper_element(B,powerset(A))|B=A)))),
% 0.25/0.81 inference(NNF_transformation,[status(thm)],[f3374])).
% 0.25/0.81 fof(f3376,plain,(
% 0.25/0.81 (element(sK386_skl,powerset(sK385_skl))&((proper_element(sK386_skl,powerset(sK385_skl))|~sK386_skl=sK385_skl)&(~proper_element(sK386_skl,powerset(sK385_skl))|sK386_skl=sK385_skl)))),
% 0.25/0.81 inference(skolemize,[status(esa),new_symbols(skolem,[sK385_skl,sK386_skl]),skolemize(A,sK385_skl),skolemize(B,sK386_skl)],[f3375])).
% 0.25/0.81 fof(f3377,plain,(
% 0.25/0.81 element(sK386_skl,powerset(sK385_skl))),
% 0.25/0.81 inference(cnf_transformation,[status(thm)],[f3376])).
% 0.25/0.81 fof(f3378,plain,(
% 0.25/0.81 proper_element(sK386_skl,powerset(sK385_skl))|~sK386_skl=sK385_skl),
% 0.25/0.81 inference(cnf_transformation,[status(thm)],[f3376])).
% 0.25/0.81 fof(f3379,plain,(
% 0.25/0.81 ~proper_element(sK386_skl,powerset(sK385_skl))|sK386_skl=sK385_skl),
% 0.25/0.81 inference(cnf_transformation,[status(thm)],[f3376])).
% 0.25/0.81 fof(f3502,plain,(
% 0.25/0.81 ![X0]: (union(powerset(X0))=X0)),
% 0.25/0.81 inference(cnf_transformation,[status(thm)],[f668])).
% 0.25/0.81 fof(f4228,plain,(
% 0.25/0.81 ~proper_element(sK386_skl,powerset(sK385_skl))|~sK386_skl=union(powerset(sK385_skl))),
% 0.25/0.81 inference(resolution,[status(thm)],[f1195,f3377])).
% 0.25/0.81 fof(f4229,plain,(
% 0.25/0.81 proper_element(sK386_skl,powerset(sK385_skl))|sK386_skl=union(powerset(sK385_skl))),
% 0.25/0.81 inference(resolution,[status(thm)],[f1196,f3377])).
% 0.25/0.81 fof(f4639,plain,(
% 0.25/0.81 proper_element(sK386_skl,powerset(sK385_skl))|sK386_skl=union(k1_pcomps_1(sK385_skl))),
% 0.25/0.81 inference(backward_demodulation,[status(thm)],[f2295,f4229])).
% 0.25/0.81 fof(f4640,plain,(
% 0.25/0.81 ~proper_element(sK386_skl,powerset(sK385_skl))|~sK386_skl=union(k1_pcomps_1(sK385_skl))),
% 0.25/0.81 inference(backward_demodulation,[status(thm)],[f2295,f4228])).
% 0.25/0.81 fof(f4641,plain,(
% 0.25/0.81 ~proper_element(sK386_skl,k1_pcomps_1(sK385_skl))|sK386_skl=sK385_skl),
% 0.25/0.81 inference(backward_demodulation,[status(thm)],[f2295,f3379])).
% 0.25/0.81 fof(f4642,plain,(
% 0.25/0.81 proper_element(sK386_skl,k1_pcomps_1(sK385_skl))|~sK386_skl=sK385_skl),
% 0.25/0.81 inference(backward_demodulation,[status(thm)],[f2295,f3378])).
% 0.25/0.81 fof(f4668,plain,(
% 0.25/0.81 proper_element(sK386_skl,k1_pcomps_1(sK385_skl))|sK386_skl=union(k1_pcomps_1(sK385_skl))),
% 0.25/0.81 inference(forward_demodulation,[status(thm)],[f2295,f4639])).
% 0.25/0.81 fof(f4669,plain,(
% 0.25/0.81 ~proper_element(sK386_skl,k1_pcomps_1(sK385_skl))|~sK386_skl=union(k1_pcomps_1(sK385_skl))),
% 0.25/0.81 inference(forward_demodulation,[status(thm)],[f2295,f4640])).
% 0.25/0.85 fof(f4903,plain,(
% 0.25/0.85 ~proper_element(sK386_skl,k1_pcomps_1(sK385_skl))|~sK386_skl=sK385_skl),
% 0.25/0.85 inference(backward_demodulation,[status(thm)],[f4905,f4669])).
% 0.25/0.85 fof(f4904,plain,(
% 0.25/0.85 proper_element(sK386_skl,k1_pcomps_1(sK385_skl))|sK386_skl=sK385_skl),
% 0.25/0.85 inference(backward_demodulation,[status(thm)],[f4905,f4668])).
% 0.25/0.85 fof(f4905,plain,(
% 0.25/0.85 ![X0]: (union(k1_pcomps_1(X0))=X0)),
% 0.25/0.85 inference(forward_demodulation,[status(thm)],[f2295,f3502])).
% 0.25/0.85 fof(f4908,plain,(
% 0.25/0.85 ~sK386_skl=sK385_skl),
% 0.25/0.85 inference(forward_subsumption_resolution,[status(thm)],[f4903,f4642])).
% 0.25/0.85 fof(f4909,plain,(
% 0.25/0.85 sK386_skl=sK385_skl),
% 0.25/0.85 inference(forward_subsumption_resolution,[status(thm)],[f4904,f4641])).
% 0.25/0.85 fof(f4913,plain,(
% 0.25/0.85 $false),
% 0.25/0.85 inference(forward_subsumption_resolution,[status(thm)],[f4909,f4908])).
% 0.25/0.85 % SZS output end CNFRefutation for theBenchmark.p
% 2.08/0.87 % Elapsed time: 0.426307 seconds
% 2.08/0.87 % CPU time: 2.490249 seconds
% 2.08/0.87 % Total memory used: 215.414 MB
% 2.08/0.87 % Net memory used: 213.456 MB
%------------------------------------------------------------------------------