%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ITP010+5 : 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 : 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 12:51:52 PM UTC 2026
% Result : Theorem 42.08s 42.71s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : ITP010+5 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.43 % Computer : n019.cluster.edu
% 0.15/0.43 % Model : x86_64 x86_64
% 0.15/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.43 % Memory : 8046.5625MB
% 0.15/0.43 % OS : Linux 6.8.0-71-generic
% 0.15/0.43 % CPULimit : 300
% 0.15/0.43 % WCLimit : 300
% 0.15/0.43 % DateTime : Sun Sep 20 21:45:05 UTC 2026
% 0.15/0.44 % CPUTime :
% 41.95/42.26 % Drodi V4.1.1
% 42.08/42.71 % Refutation found
% 42.08/42.71 % SZS status Theorem for theBenchmark: Theorem is valid
% 42.08/42.71 % SZS output start CNFRefutation for theBenchmark
% 42.08/42.71 fof(f8598,conjecture,(
% 42.08/42.71 (! [A_27a] :( ne(A_27a)=> (! [A_27b] :( ne(A_27b)=> (! [V0s] :( mem(V0s,arr(A_27a,bool))=> (! [V1t] :( mem(V1t,arr(A_27b,bool))=> ( ~ p(ap(ap(c_2Ecardinal_2Ecardleq(A_27a,A_27b),V0s),V1t))<=> ~ p(ap(ap(c_2Ecardinal_2Ecardleq(A_27a,A_27b),V0s),V1t)) ) ) )) )) )) )),
% 42.08/42.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 42.08/42.71 fof(f8599,negated_conjecture,(
% 42.08/42.71 ~((! [A_27a] :( ne(A_27a)=> (! [A_27b] :( ne(A_27b)=> (! [V0s] :( mem(V0s,arr(A_27a,bool))=> (! [V1t] :( mem(V1t,arr(A_27b,bool))=> ( ~ p(ap(ap(c_2Ecardinal_2Ecardleq(A_27a,A_27b),V0s),V1t))<=> ~ p(ap(ap(c_2Ecardinal_2Ecardleq(A_27a,A_27b),V0s),V1t)) ) ) )) )) )) ))),
% 42.08/42.71 inference(negated_conjecture,[status(cth)],[f8598])).
% 42.08/42.71 fof(f53185,plain,(
% 42.08/42.71 (?[A_27a]: (ne(A_27a)&(?[A_27b]: (ne(A_27b)&(?[V0s]: (mem(V0s,arr(A_27a,bool))&(?[V1t]: (mem(V1t,arr(A_27b,bool))&(~p(ap(ap(c_2Ecardinal_2Ecardleq(A_27a,A_27b),V0s),V1t))<~>~p(ap(ap(c_2Ecardinal_2Ecardleq(A_27a,A_27b),V0s),V1t)))))))))))),
% 42.08/42.71 inference(pre_NNF_transformation,[status(thm)],[f8599])).
% 42.08/42.71 fof(f53186,plain,(
% 42.08/42.71 ?[A_27a]: (ne(A_27a)&(?[A_27b]: (ne(A_27b)&(?[V0s]: (mem(V0s,arr(A_27a,bool))&(?[V1t]: (mem(V1t,arr(A_27b,bool))&((~p(ap(ap(c_2Ecardinal_2Ecardleq(A_27a,A_27b),V0s),V1t))|~p(ap(ap(c_2Ecardinal_2Ecardleq(A_27a,A_27b),V0s),V1t)))&(p(ap(ap(c_2Ecardinal_2Ecardleq(A_27a,A_27b),V0s),V1t))|p(ap(ap(c_2Ecardinal_2Ecardleq(A_27a,A_27b),V0s),V1t)))))))))))),
% 42.08/42.71 inference(NNF_transformation,[status(thm)],[f53185])).
% 42.08/42.71 fof(f53187,plain,(
% 42.08/42.71 (ne(sK14171_skl)&(ne(sK14172_skl)&(mem(sK14173_skl,arr(sK14171_skl,bool))&(mem(sK14174_skl,arr(sK14172_skl,bool))&((~p(ap(ap(c_2Ecardinal_2Ecardleq(sK14171_skl,sK14172_skl),sK14173_skl),sK14174_skl))|~p(ap(ap(c_2Ecardinal_2Ecardleq(sK14171_skl,sK14172_skl),sK14173_skl),sK14174_skl)))&(p(ap(ap(c_2Ecardinal_2Ecardleq(sK14171_skl,sK14172_skl),sK14173_skl),sK14174_skl))|p(ap(ap(c_2Ecardinal_2Ecardleq(sK14171_skl,sK14172_skl),sK14173_skl),sK14174_skl))))))))),
% 42.08/42.71 inference(skolemize,[status(esa),new_symbols(skolem,[sK14171_skl,sK14172_skl,sK14173_skl,sK14174_skl]),skolemize(A_27a,sK14171_skl),skolemize(A_27b,sK14172_skl),skolemize(V0s,sK14173_skl),skolemize(V1t,sK14174_skl)],[f53186])).
% 42.08/42.71 fof(f53192,plain,(
% 42.08/42.71 ~p(ap(ap(c_2Ecardinal_2Ecardleq(sK14171_skl,sK14172_skl),sK14173_skl),sK14174_skl))|~p(ap(ap(c_2Ecardinal_2Ecardleq(sK14171_skl,sK14172_skl),sK14173_skl),sK14174_skl))),
% 42.08/42.71 inference(cnf_transformation,[status(thm)],[f53187])).
% 42.08/42.71 fof(f53193,plain,(
% 42.08/42.71 p(ap(ap(c_2Ecardinal_2Ecardleq(sK14171_skl,sK14172_skl),sK14173_skl),sK14174_skl))|p(ap(ap(c_2Ecardinal_2Ecardleq(sK14171_skl,sK14172_skl),sK14173_skl),sK14174_skl))),
% 42.08/42.71 inference(cnf_transformation,[status(thm)],[f53187])).
% 42.08/42.71 fof(f60537,definition,(
% 42.08/42.71 sQ807_spl <=> (p(ap(ap(c_2Ecardinal_2Ecardleq(sK14171_skl,sK14172_skl),sK14173_skl),sK14174_skl)))),
% 42.08/42.71 introduced(definition,[new_symbols(definition,[sQ807_spl])],[split_symbol_definition])).
% 42.08/42.71 fof(f60540,plain,(
% 42.08/42.71 ~sQ807_spl),
% 42.08/42.71 inference(split_clause,[status(thm)],[f53192,f60537])).
% 42.08/42.71 fof(f60541,plain,(
% 42.08/42.71 sQ807_spl),
% 42.08/42.71 inference(split_clause,[status(thm)],[f53193,f60537])).
% 42.08/42.71 fof(f60542,plain,(
% 42.08/42.71 $false),
% 42.08/42.71 inference(sat_refutation,[status(thm)],[f60540,f60541])).
% 42.08/42.71 % SZS output end CNFRefutation for theBenchmark.p
% 42.12/43.18 % Elapsed time: 42.688955 seconds
% 42.12/43.18 % CPU time: 46.205932 seconds
% 42.12/43.18 % Total memory used: 2.465 GB
% 42.12/43.18 % Net memory used: 2.450 GB
%------------------------------------------------------------------------------