%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ITP010+2 : 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 : n008.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 0.15s 0.47s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ITP010+2 : 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 : n008.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 21:45:25 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.45 % Drodi V4.1.1
% 0.15/0.47 % Refutation found
% 0.15/0.47 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.47 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.47 fof(f41,conjecture,(
% 0.15/0.47 (! [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)) ) ) )) )) )) )),
% 0.15/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f42,negated_conjecture,(
% 0.15/0.47 ~((! [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)) ) ) )) )) )) ))),
% 0.15/0.47 inference(negated_conjecture,[status(cth)],[f41])).
% 0.15/0.47 fof(f192,plain,(
% 0.15/0.47 (?[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)))))))))))),
% 0.15/0.47 inference(pre_NNF_transformation,[status(thm)],[f42])).
% 0.15/0.47 fof(f193,plain,(
% 0.15/0.47 ?[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)))))))))))),
% 0.15/0.47 inference(NNF_transformation,[status(thm)],[f192])).
% 0.15/0.47 fof(f194,plain,(
% 0.15/0.47 (ne(sK3_skl)&(ne(sK4_skl)&(mem(sK5_skl,arr(sK3_skl,bool))&(mem(sK6_skl,arr(sK4_skl,bool))&((~p(ap(ap(c_2Ecardinal_2Ecardleq(sK3_skl,sK4_skl),sK5_skl),sK6_skl))|~p(ap(ap(c_2Ecardinal_2Ecardleq(sK3_skl,sK4_skl),sK5_skl),sK6_skl)))&(p(ap(ap(c_2Ecardinal_2Ecardleq(sK3_skl,sK4_skl),sK5_skl),sK6_skl))|p(ap(ap(c_2Ecardinal_2Ecardleq(sK3_skl,sK4_skl),sK5_skl),sK6_skl))))))))),
% 0.15/0.47 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl,sK5_skl,sK6_skl]),skolemize(A_27a,sK3_skl),skolemize(A_27b,sK4_skl),skolemize(V0s,sK5_skl),skolemize(V1t,sK6_skl)],[f193])).
% 0.15/0.47 fof(f199,plain,(
% 0.15/0.47 ~p(ap(ap(c_2Ecardinal_2Ecardleq(sK3_skl,sK4_skl),sK5_skl),sK6_skl))|~p(ap(ap(c_2Ecardinal_2Ecardleq(sK3_skl,sK4_skl),sK5_skl),sK6_skl))),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f194])).
% 0.15/0.47 fof(f200,plain,(
% 0.15/0.47 p(ap(ap(c_2Ecardinal_2Ecardleq(sK3_skl,sK4_skl),sK5_skl),sK6_skl))|p(ap(ap(c_2Ecardinal_2Ecardleq(sK3_skl,sK4_skl),sK5_skl),sK6_skl))),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f194])).
% 0.15/0.47 fof(f282,definition,(
% 0.15/0.47 sQ5_spl <=> (p(ap(ap(c_2Ecardinal_2Ecardleq(sK3_skl,sK4_skl),sK5_skl),sK6_skl)))),
% 0.15/0.47 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.15/0.47 fof(f285,plain,(
% 0.15/0.47 ~sQ5_spl),
% 0.15/0.47 inference(split_clause,[status(thm)],[f199,f282])).
% 0.15/0.47 fof(f286,plain,(
% 0.15/0.47 sQ5_spl),
% 0.15/0.47 inference(split_clause,[status(thm)],[f200,f282])).
% 0.15/0.47 fof(f287,plain,(
% 0.15/0.47 $false),
% 0.15/0.47 inference(sat_refutation,[status(thm)],[f285,f286])).
% 0.15/0.47 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.51 % Elapsed time: 0.064959 seconds
% 0.15/0.51 % CPU time: 0.165427 seconds
% 0.15/0.51 % Total memory used: 60.598 MB
% 0.15/0.51 % Net memory used: 60.502 MB
%------------------------------------------------------------------------------