%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ITP010+4 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 12:51:52 PM UTC 2026
% Result : Theorem 18.49s 19.09s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP010+4 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.34 % Computer : n010.cluster.edu
% 0.10/0.34 % Model : x86_64 x86_64
% 0.10/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34 % Memory : 8046.5625MB
% 0.10/0.34 % OS : Linux 6.8.0-71-generic
% 0.10/0.34 % CPULimit : 300
% 0.10/0.34 % WCLimit : 300
% 0.10/0.34 % DateTime : Sun Sep 20 21:45:10 UTC 2026
% 0.10/0.34 % CPUTime :
% 18.36/18.62 % Drodi V4.1.1
% 18.49/19.09 % Refutation found
% 18.49/19.09 % SZS status Theorem for theBenchmark: Theorem is valid
% 18.49/19.09 % SZS output start CNFRefutation for theBenchmark
% 18.49/19.09 fof(f10764,conjecture,(
% 18.49/19.09 (! [A_27a,A_27b,V0s_2E0,V1t_2E0] :( ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V1t_2E0))))<=> ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V1t_2E0)))) ) )),
% 18.49/19.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.49/19.09 fof(f10765,negated_conjecture,(
% 18.49/19.09 ~((! [A_27a,A_27b,V0s_2E0,V1t_2E0] :( ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V1t_2E0))))<=> ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V1t_2E0)))) ) ))),
% 18.49/19.09 inference(negated_conjecture,[status(cth)],[f10764])).
% 18.49/19.09 fof(f44685,plain,(
% 18.49/19.09 (?[A_27a,A_27b,V0s_2E0,V1t_2E0]: (~p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V1t_2E0))))<~>~p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V1t_2E0))))))),
% 18.49/19.09 inference(pre_NNF_transformation,[status(thm)],[f10765])).
% 18.49/19.09 fof(f44686,plain,(
% 18.49/19.09 ?[A_27a,A_27b,V0s_2E0,V1t_2E0]: ((~p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V1t_2E0))))|~p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V1t_2E0)))))&(p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V1t_2E0))))|p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V1t_2E0))))))),
% 18.49/19.09 inference(NNF_transformation,[status(thm)],[f44685])).
% 18.49/19.09 fof(f44687,plain,(
% 18.49/19.09 ((~p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK18786_skl,tyop_2Emin_2Ebool),sK18788_skl),s(tyop_2Emin_2Efun(sK18787_skl,tyop_2Emin_2Ebool),sK18789_skl))))|~p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK18786_skl,tyop_2Emin_2Ebool),sK18788_skl),s(tyop_2Emin_2Efun(sK18787_skl,tyop_2Emin_2Ebool),sK18789_skl)))))&(p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK18786_skl,tyop_2Emin_2Ebool),sK18788_skl),s(tyop_2Emin_2Efun(sK18787_skl,tyop_2Emin_2Ebool),sK18789_skl))))|p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK18786_skl,tyop_2Emin_2Ebool),sK18788_skl),s(tyop_2Emin_2Efun(sK18787_skl,tyop_2Emin_2Ebool),sK18789_skl))))))),
% 18.49/19.09 inference(skolemize,[status(esa),new_symbols(skolem,[sK18786_skl,sK18787_skl,sK18788_skl,sK18789_skl]),skolemize(A_27a,sK18786_skl),skolemize(A_27b,sK18787_skl),skolemize(V0s_2E0,sK18788_skl),skolemize(V1t_2E0,sK18789_skl)],[f44686])).
% 18.49/19.09 fof(f44688,plain,(
% 18.49/19.09 ~p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK18786_skl,tyop_2Emin_2Ebool),sK18788_skl),s(tyop_2Emin_2Efun(sK18787_skl,tyop_2Emin_2Ebool),sK18789_skl))))|~p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK18786_skl,tyop_2Emin_2Ebool),sK18788_skl),s(tyop_2Emin_2Efun(sK18787_skl,tyop_2Emin_2Ebool),sK18789_skl))))),
% 18.49/19.09 inference(cnf_transformation,[status(thm)],[f44687])).
% 18.49/19.09 fof(f44689,plain,(
% 18.49/19.09 p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK18786_skl,tyop_2Emin_2Ebool),sK18788_skl),s(tyop_2Emin_2Efun(sK18787_skl,tyop_2Emin_2Ebool),sK18789_skl))))|p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK18786_skl,tyop_2Emin_2Ebool),sK18788_skl),s(tyop_2Emin_2Efun(sK18787_skl,tyop_2Emin_2Ebool),sK18789_skl))))),
% 18.49/19.09 inference(cnf_transformation,[status(thm)],[f44687])).
% 18.49/19.09 fof(f52456,definition,(
% 18.49/19.23 sQ226_spl <=> (p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK18786_skl,tyop_2Emin_2Ebool),sK18788_skl),s(tyop_2Emin_2Efun(sK18787_skl,tyop_2Emin_2Ebool),sK18789_skl)))))),
% 18.49/19.23 introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition])).
% 18.49/19.23 fof(f52459,plain,(
% 18.49/19.23 ~sQ226_spl),
% 18.49/19.23 inference(split_clause,[status(thm)],[f44688,f52456])).
% 18.49/19.23 fof(f52460,plain,(
% 18.49/19.23 sQ226_spl),
% 18.49/19.23 inference(split_clause,[status(thm)],[f44689,f52456])).
% 18.49/19.23 fof(f52494,plain,(
% 18.49/19.23 $false),
% 18.49/19.23 inference(sat_refutation,[status(thm)],[f52459,f52460])).
% 18.49/19.23 % SZS output end CNFRefutation for theBenchmark.p
% 18.98/20.42 % Elapsed time: 19.940983 seconds
% 18.98/20.42 % CPU time: 23.792452 seconds
% 18.98/20.42 % Total memory used: 2.994 GB
% 18.98/20.42 % Net memory used: 2.985 GB
%------------------------------------------------------------------------------