%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ITP010+1 : 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 : n017.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 0.14s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP010+1 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n017.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 21:40:11 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.14/0.37 % Refutation found
% 0.14/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.37 fof(f40,conjecture,(
% 0.14/0.37 (! [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)))) ) )),
% 0.14/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f41,negated_conjecture,(
% 0.14/0.37 ~((! [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)))) ) ))),
% 0.14/0.37 inference(negated_conjecture,[status(cth)],[f40])).
% 0.14/0.37 fof(f216,plain,(
% 0.14/0.37 (?[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))))))),
% 0.14/0.37 inference(pre_NNF_transformation,[status(thm)],[f41])).
% 0.14/0.37 fof(f217,plain,(
% 0.14/0.37 ?[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))))))),
% 0.14/0.37 inference(NNF_transformation,[status(thm)],[f216])).
% 0.14/0.37 fof(f218,plain,(
% 0.14/0.37 ((~p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK3_skl,tyop_2Emin_2Ebool),sK5_skl),s(tyop_2Emin_2Efun(sK4_skl,tyop_2Emin_2Ebool),sK6_skl))))|~p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK3_skl,tyop_2Emin_2Ebool),sK5_skl),s(tyop_2Emin_2Efun(sK4_skl,tyop_2Emin_2Ebool),sK6_skl)))))&(p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK3_skl,tyop_2Emin_2Ebool),sK5_skl),s(tyop_2Emin_2Efun(sK4_skl,tyop_2Emin_2Ebool),sK6_skl))))|p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK3_skl,tyop_2Emin_2Ebool),sK5_skl),s(tyop_2Emin_2Efun(sK4_skl,tyop_2Emin_2Ebool),sK6_skl))))))),
% 0.14/0.37 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_2E0,sK5_skl),skolemize(V1t_2E0,sK6_skl)],[f217])).
% 0.14/0.37 fof(f219,plain,(
% 0.14/0.37 ~p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK3_skl,tyop_2Emin_2Ebool),sK5_skl),s(tyop_2Emin_2Efun(sK4_skl,tyop_2Emin_2Ebool),sK6_skl))))|~p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK3_skl,tyop_2Emin_2Ebool),sK5_skl),s(tyop_2Emin_2Efun(sK4_skl,tyop_2Emin_2Ebool),sK6_skl))))),
% 0.14/0.37 inference(cnf_transformation,[status(thm)],[f218])).
% 0.14/0.37 fof(f220,plain,(
% 0.14/0.37 p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK3_skl,tyop_2Emin_2Ebool),sK5_skl),s(tyop_2Emin_2Efun(sK4_skl,tyop_2Emin_2Ebool),sK6_skl))))|p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK3_skl,tyop_2Emin_2Ebool),sK5_skl),s(tyop_2Emin_2Efun(sK4_skl,tyop_2Emin_2Ebool),sK6_skl))))),
% 0.14/0.37 inference(cnf_transformation,[status(thm)],[f218])).
% 0.14/0.37 fof(f338,definition,(
% 0.14/0.37 sQ11_spl <=> (p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK3_skl,tyop_2Emin_2Ebool),sK5_skl),s(tyop_2Emin_2Efun(sK4_skl,tyop_2Emin_2Ebool),sK6_skl)))))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f341,plain,(
% 0.14/0.38 ~sQ11_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f219,f338])).
% 0.14/0.38 fof(f342,plain,(
% 0.14/0.38 sQ11_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f220,f338])).
% 0.14/0.38 fof(f361,plain,(
% 0.14/0.38 $false),
% 0.14/0.38 inference(sat_refutation,[status(thm)],[f341,f342])).
% 0.14/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.40 % Elapsed time: 0.044047 seconds
% 0.14/0.40 % CPU time: 0.078917 seconds
% 0.14/0.40 % Total memory used: 6.793 MB
% 0.14/0.40 % Net memory used: 6.782 MB
%------------------------------------------------------------------------------