%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : CAT032+1 : TPTP v9.3.1. Released v3.4.0.
% 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 12:07:53 PM UTC 2026
% Result : Theorem 0.09s 0.51s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CAT032+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n008.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 14:01:10 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.51 % Refutation found
% 0.09/0.51 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.51 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.51 fof(f1,conjecture,(
% 0.09/0.51 (! [A] :( ( v2_cat_1(A)& l1_cat_1(A) )=> (! [B] :( ( v2_cat_1(B)& l1_cat_1(B) )=> (! [C] :( ( v2_cat_1(C)& l1_cat_1(C) )=> r1_isocat_1(k12_nattra_1(A,k11_cat_2(B,C)),k11_cat_2(k12_nattra_1(A,B),k12_nattra_1(A,C))) ) )) )) )),
% 0.09/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.51 fof(f2,negated_conjecture,(
% 0.09/0.51 ~((! [A] :( ( v2_cat_1(A)& l1_cat_1(A) )=> (! [B] :( ( v2_cat_1(B)& l1_cat_1(B) )=> (! [C] :( ( v2_cat_1(C)& l1_cat_1(C) )=> r1_isocat_1(k12_nattra_1(A,k11_cat_2(B,C)),k11_cat_2(k12_nattra_1(A,B),k12_nattra_1(A,C))) ) )) )) ))),
% 0.09/0.51 inference(negated_conjecture,[status(cth)],[f1])).
% 0.09/0.51 fof(f6,axiom,(
% 0.09/0.51 (! [A] :( ( v2_cat_1(A)& l1_cat_1(A) )=> (! [B] :( ( v2_cat_1(B)& l1_cat_1(B) )=> ( r1_isocat_1(A,B)<=> (? [C] :( m2_cat_1(C,A,B)& v8_cat_1(C,A,B) ) )) ) )) )),
% 0.09/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.51 fof(f8,axiom,(
% 0.09/0.51 (! [A,B] :( ( v2_cat_1(A)& l1_cat_1(A)& v2_cat_1(B)& l1_cat_1(B) )=> ( v2_cat_1(k11_cat_2(A,B))& l1_cat_1(k11_cat_2(A,B)) ) ) )),
% 0.09/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.51 fof(f9,axiom,(
% 0.09/0.51 (! [A,B] :( ( v2_cat_1(A)& l1_cat_1(A)& v2_cat_1(B)& l1_cat_1(B) )=> ( v1_cat_1(k12_nattra_1(A,B))& v2_cat_1(k12_nattra_1(A,B))& l1_cat_1(k12_nattra_1(A,B)) ) ) )),
% 0.09/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.51 fof(f10,axiom,(
% 0.09/0.51 (! [A,B,C] :( ( v2_cat_1(A)& l1_cat_1(A)& v2_cat_1(B)& l1_cat_1(B)& v2_cat_1(C)& l1_cat_1(C) )=> m2_cat_1(k17_isocat_2(A,B,C),k12_nattra_1(A,k11_cat_2(B,C)),k11_cat_2(k12_nattra_1(A,B),k12_nattra_1(A,C))) ) )),
% 0.09/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.51 fof(f45,axiom,(
% 0.09/0.51 (! [A] :( ( v2_cat_1(A)& l1_cat_1(A) )=> (! [B] :( ( v2_cat_1(B)& l1_cat_1(B) )=> (! [C] :( ( v2_cat_1(C)& l1_cat_1(C) )=> v8_cat_1(k17_isocat_2(A,B,C),k12_nattra_1(A,k11_cat_2(B,C)),k11_cat_2(k12_nattra_1(A,B),k12_nattra_1(A,C))) ) )) )) )),
% 0.09/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.51 fof(f51,plain,(
% 0.09/0.51 (?[A]: ((v2_cat_1(A)&l1_cat_1(A))&(?[B]: ((v2_cat_1(B)&l1_cat_1(B))&(?[C]: ((v2_cat_1(C)&l1_cat_1(C))&~r1_isocat_1(k12_nattra_1(A,k11_cat_2(B,C)),k11_cat_2(k12_nattra_1(A,B),k12_nattra_1(A,C)))))))))),
% 0.09/0.51 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.09/0.51 fof(f52,plain,(
% 0.09/0.51 ((v2_cat_1(sK0_skl)&l1_cat_1(sK0_skl))&((v2_cat_1(sK1_skl)&l1_cat_1(sK1_skl))&((v2_cat_1(sK2_skl)&l1_cat_1(sK2_skl))&~r1_isocat_1(k12_nattra_1(sK0_skl,k11_cat_2(sK1_skl,sK2_skl)),k11_cat_2(k12_nattra_1(sK0_skl,sK1_skl),k12_nattra_1(sK0_skl,sK2_skl))))))),
% 0.09/0.51 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(A,sK0_skl),skolemize(B,sK1_skl),skolemize(C,sK2_skl)],[f51])).
% 0.09/0.51 fof(f53,plain,(
% 0.09/0.51 v2_cat_1(sK0_skl)),
% 0.09/0.51 inference(cnf_transformation,[status(thm)],[f52])).
% 0.09/0.51 fof(f54,plain,(
% 0.09/0.51 l1_cat_1(sK0_skl)),
% 0.09/0.51 inference(cnf_transformation,[status(thm)],[f52])).
% 0.09/0.51 fof(f55,plain,(
% 0.09/0.51 v2_cat_1(sK1_skl)),
% 0.09/0.51 inference(cnf_transformation,[status(thm)],[f52])).
% 0.09/0.51 fof(f56,plain,(
% 0.09/0.51 l1_cat_1(sK1_skl)),
% 0.09/0.51 inference(cnf_transformation,[status(thm)],[f52])).
% 0.09/0.51 fof(f57,plain,(
% 0.09/0.51 v2_cat_1(sK2_skl)),
% 0.09/0.51 inference(cnf_transformation,[status(thm)],[f52])).
% 0.09/0.51 fof(f58,plain,(
% 0.09/0.51 l1_cat_1(sK2_skl)),
% 0.09/0.51 inference(cnf_transformation,[status(thm)],[f52])).
% 0.09/0.51 fof(f59,plain,(
% 0.09/0.51 ~r1_isocat_1(k12_nattra_1(sK0_skl,k11_cat_2(sK1_skl,sK2_skl)),k11_cat_2(k12_nattra_1(sK0_skl,sK1_skl),k12_nattra_1(sK0_skl,sK2_skl)))),
% 0.09/0.51 inference(cnf_transformation,[status(thm)],[f52])).
% 0.09/0.51 fof(f67,plain,(
% 0.09/0.51 ![A]: ((~v2_cat_1(A)|~l1_cat_1(A))|(![B]: ((~v2_cat_1(B)|~l1_cat_1(B))|(r1_isocat_1(A,B)<=>(?[C]: (m2_cat_1(C,A,B)&v8_cat_1(C,A,B)))))))),
% 0.09/0.51 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.09/0.51 fof(f68,plain,(
% 0.09/0.51 ![A]: ((~v2_cat_1(A)|~l1_cat_1(A))|(![B]: ((~v2_cat_1(B)|~l1_cat_1(B))|((~r1_isocat_1(A,B)|(?[C]: (m2_cat_1(C,A,B)&v8_cat_1(C,A,B))))&(r1_isocat_1(A,B)|(![C]: (~m2_cat_1(C,A,B)|~v8_cat_1(C,A,B))))))))),
% 0.09/0.51 inference(NNF_transformation,[status(thm)],[f67])).
% 0.09/0.51 fof(f69,plain,(
% 0.09/0.51 ![A]: ((~v2_cat_1(A)|~l1_cat_1(A))|(![B]: ((~v2_cat_1(B)|~l1_cat_1(B))|((~r1_isocat_1(A,B)|(m2_cat_1(sK3_skl(B,A),A,B)&v8_cat_1(sK3_skl(B,A),A,B)))&(r1_isocat_1(A,B)|(![C]: (~m2_cat_1(C,A,B)|~v8_cat_1(C,A,B))))))))),
% 0.09/0.51 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(C,sK3_skl(B,A))],[f68])).
% 0.09/0.51 fof(f72,plain,(
% 0.09/0.51 ![X0,X1,X2]: (~v2_cat_1(X0)|~l1_cat_1(X0)|~v2_cat_1(X1)|~l1_cat_1(X1)|r1_isocat_1(X0,X1)|~m2_cat_1(X2,X0,X1)|~v8_cat_1(X2,X0,X1))),
% 0.09/0.51 inference(cnf_transformation,[status(thm)],[f69])).
% 0.09/0.51 fof(f76,plain,(
% 0.09/0.51 ![A,B]: ((((~v2_cat_1(A)|~l1_cat_1(A))|~v2_cat_1(B))|~l1_cat_1(B))|(v2_cat_1(k11_cat_2(A,B))&l1_cat_1(k11_cat_2(A,B))))),
% 0.09/0.51 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.09/0.51 fof(f77,plain,(
% 0.09/0.51 ![X0,X1]: (~v2_cat_1(X0)|~l1_cat_1(X0)|~v2_cat_1(X1)|~l1_cat_1(X1)|v2_cat_1(k11_cat_2(X0,X1)))),
% 0.09/0.51 inference(cnf_transformation,[status(thm)],[f76])).
% 0.09/0.51 fof(f78,plain,(
% 0.09/0.51 ![X0,X1]: (~v2_cat_1(X0)|~l1_cat_1(X0)|~v2_cat_1(X1)|~l1_cat_1(X1)|l1_cat_1(k11_cat_2(X0,X1)))),
% 0.09/0.51 inference(cnf_transformation,[status(thm)],[f76])).
% 0.09/0.51 fof(f79,plain,(
% 0.09/0.51 ![A,B]: ((((~v2_cat_1(A)|~l1_cat_1(A))|~v2_cat_1(B))|~l1_cat_1(B))|((v1_cat_1(k12_nattra_1(A,B))&v2_cat_1(k12_nattra_1(A,B)))&l1_cat_1(k12_nattra_1(A,B))))),
% 0.09/0.51 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.09/0.51 fof(f81,plain,(
% 0.09/0.51 ![X0,X1]: (~v2_cat_1(X0)|~l1_cat_1(X0)|~v2_cat_1(X1)|~l1_cat_1(X1)|v2_cat_1(k12_nattra_1(X0,X1)))),
% 0.09/0.51 inference(cnf_transformation,[status(thm)],[f79])).
% 0.09/0.51 fof(f82,plain,(
% 0.09/0.51 ![X0,X1]: (~v2_cat_1(X0)|~l1_cat_1(X0)|~v2_cat_1(X1)|~l1_cat_1(X1)|l1_cat_1(k12_nattra_1(X0,X1)))),
% 0.09/0.51 inference(cnf_transformation,[status(thm)],[f79])).
% 0.09/0.51 fof(f83,plain,(
% 0.09/0.51 ![A,B,C]: ((((((~v2_cat_1(A)|~l1_cat_1(A))|~v2_cat_1(B))|~l1_cat_1(B))|~v2_cat_1(C))|~l1_cat_1(C))|m2_cat_1(k17_isocat_2(A,B,C),k12_nattra_1(A,k11_cat_2(B,C)),k11_cat_2(k12_nattra_1(A,B),k12_nattra_1(A,C))))),
% 0.09/0.51 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.09/0.51 fof(f84,plain,(
% 0.09/0.51 ![X0,X1,X2]: (~v2_cat_1(X0)|~l1_cat_1(X0)|~v2_cat_1(X1)|~l1_cat_1(X1)|~v2_cat_1(X2)|~l1_cat_1(X2)|m2_cat_1(k17_isocat_2(X0,X1,X2),k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2))))),
% 0.09/0.51 inference(cnf_transformation,[status(thm)],[f83])).
% 0.09/0.51 fof(f162,plain,(
% 0.09/0.51 ![A]: ((~v2_cat_1(A)|~l1_cat_1(A))|(![B]: ((~v2_cat_1(B)|~l1_cat_1(B))|(![C]: ((~v2_cat_1(C)|~l1_cat_1(C))|v8_cat_1(k17_isocat_2(A,B,C),k12_nattra_1(A,k11_cat_2(B,C)),k11_cat_2(k12_nattra_1(A,B),k12_nattra_1(A,C))))))))),
% 0.09/0.51 inference(pre_NNF_transformation,[status(thm)],[f45])).
% 0.09/0.51 fof(f163,plain,(
% 0.09/0.51 ![X0,X1,X2]: (~v2_cat_1(X0)|~l1_cat_1(X0)|~v2_cat_1(X1)|~l1_cat_1(X1)|~v2_cat_1(X2)|~l1_cat_1(X2)|v8_cat_1(k17_isocat_2(X0,X1,X2),k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2))))),
% 0.09/0.51 inference(cnf_transformation,[status(thm)],[f162])).
% 0.09/0.51 fof(f186,definition,(
% 0.09/0.51 sQ2_spl <=> (v2_cat_1(k11_cat_2(k12_nattra_1(sK0_skl,sK1_skl),k12_nattra_1(sK0_skl,sK2_skl))))),
% 0.09/0.51 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.09/0.51 fof(f188,plain,(
% 0.09/0.51 ~v2_cat_1(k11_cat_2(k12_nattra_1(sK0_skl,sK1_skl),k12_nattra_1(sK0_skl,sK2_skl)))|sQ2_spl),
% 0.09/0.51 inference(component_clause,[status(thm)],[f186])).
% 0.09/0.51 fof(f189,definition,(
% 0.09/0.51 sQ3_spl <=> (l1_cat_1(k11_cat_2(k12_nattra_1(sK0_skl,sK1_skl),k12_nattra_1(sK0_skl,sK2_skl))))),
% 0.09/0.51 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.09/0.51 fof(f191,plain,(
% 0.09/0.51 ~l1_cat_1(k11_cat_2(k12_nattra_1(sK0_skl,sK1_skl),k12_nattra_1(sK0_skl,sK2_skl)))|sQ3_spl),
% 0.09/0.51 inference(component_clause,[status(thm)],[f189])).
% 0.09/0.51 fof(f192,definition,(
% 0.09/0.51 sQ4_spl <=> (v2_cat_1(k12_nattra_1(sK0_skl,k11_cat_2(sK1_skl,sK2_skl))))),
% 0.09/0.51 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.09/0.51 fof(f194,plain,(
% 0.09/0.51 ~v2_cat_1(k12_nattra_1(sK0_skl,k11_cat_2(sK1_skl,sK2_skl)))|sQ4_spl),
% 0.09/0.51 inference(component_clause,[status(thm)],[f192])).
% 0.09/0.51 fof(f195,definition,(
% 0.09/0.51 sQ5_spl <=> (l1_cat_1(k12_nattra_1(sK0_skl,k11_cat_2(sK1_skl,sK2_skl))))),
% 0.09/0.51 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.09/0.51 fof(f197,plain,(
% 0.09/0.51 ~l1_cat_1(k12_nattra_1(sK0_skl,k11_cat_2(sK1_skl,sK2_skl)))|sQ5_spl),
% 0.09/0.51 inference(component_clause,[status(thm)],[f195])).
% 0.09/0.51 fof(f207,plain,(
% 0.09/0.51 ~v2_cat_1(k12_nattra_1(sK0_skl,sK1_skl))|~l1_cat_1(k12_nattra_1(sK0_skl,sK1_skl))|~v2_cat_1(k12_nattra_1(sK0_skl,sK2_skl))|~l1_cat_1(k12_nattra_1(sK0_skl,sK2_skl))|sQ3_spl),
% 0.09/0.51 inference(resolution,[status(thm)],[f191,f78])).
% 0.09/0.51 fof(f208,definition,(
% 0.09/0.51 sQ8_spl <=> (v2_cat_1(k12_nattra_1(sK0_skl,sK1_skl)))),
% 0.09/0.51 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.09/0.51 fof(f210,plain,(
% 0.09/0.51 ~v2_cat_1(k12_nattra_1(sK0_skl,sK1_skl))|sQ8_spl),
% 0.09/0.51 inference(component_clause,[status(thm)],[f208])).
% 0.09/0.51 fof(f211,definition,(
% 0.09/0.51 sQ9_spl <=> (l1_cat_1(k12_nattra_1(sK0_skl,sK1_skl)))),
% 0.09/0.51 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.09/0.51 fof(f213,plain,(
% 0.09/0.51 ~l1_cat_1(k12_nattra_1(sK0_skl,sK1_skl))|sQ9_spl),
% 0.09/0.51 inference(component_clause,[status(thm)],[f211])).
% 0.09/0.51 fof(f214,definition,(
% 0.09/0.51 sQ10_spl <=> (v2_cat_1(k12_nattra_1(sK0_skl,sK2_skl)))),
% 0.09/0.51 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.09/0.51 fof(f216,plain,(
% 0.09/0.51 ~v2_cat_1(k12_nattra_1(sK0_skl,sK2_skl))|sQ10_spl),
% 0.09/0.51 inference(component_clause,[status(thm)],[f214])).
% 0.09/0.51 fof(f217,definition,(
% 0.09/0.51 sQ11_spl <=> (l1_cat_1(k12_nattra_1(sK0_skl,sK2_skl)))),
% 0.09/0.51 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.09/0.51 fof(f219,plain,(
% 0.09/0.51 ~l1_cat_1(k12_nattra_1(sK0_skl,sK2_skl))|sQ11_spl),
% 0.09/0.51 inference(component_clause,[status(thm)],[f217])).
% 0.09/0.51 fof(f220,plain,(
% 0.09/0.51 ~sQ8_spl|~sQ9_spl|~sQ10_spl|~sQ11_spl|sQ3_spl),
% 0.09/0.51 inference(split_clause,[status(thm)],[f207,f208,f211,f214,f217,f189])).
% 0.09/0.51 fof(f221,plain,(
% 0.09/0.51 ~v2_cat_1(sK0_skl)|~l1_cat_1(sK0_skl)|~v2_cat_1(sK2_skl)|~l1_cat_1(sK2_skl)|sQ11_spl),
% 0.09/0.51 inference(resolution,[status(thm)],[f219,f82])).
% 0.09/0.51 fof(f222,definition,(
% 0.09/0.51 sQ12_spl <=> (v2_cat_1(sK0_skl))),
% 0.09/0.51 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.09/0.51 fof(f224,plain,(
% 0.09/0.51 ~v2_cat_1(sK0_skl)|sQ12_spl),
% 0.09/0.51 inference(component_clause,[status(thm)],[f222])).
% 0.09/0.51 fof(f225,definition,(
% 0.09/0.51 sQ13_spl <=> (l1_cat_1(sK0_skl))),
% 0.09/0.51 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.09/0.51 fof(f227,plain,(
% 0.09/0.51 ~l1_cat_1(sK0_skl)|sQ13_spl),
% 0.09/0.51 inference(component_clause,[status(thm)],[f225])).
% 0.09/0.51 fof(f228,definition,(
% 0.09/0.51 sQ14_spl <=> (v2_cat_1(sK2_skl))),
% 0.09/0.51 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.09/0.51 fof(f230,plain,(
% 0.09/0.51 ~v2_cat_1(sK2_skl)|sQ14_spl),
% 0.09/0.51 inference(component_clause,[status(thm)],[f228])).
% 0.09/0.51 fof(f231,definition,(
% 0.09/0.51 sQ15_spl <=> (l1_cat_1(sK2_skl))),
% 0.09/0.51 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.09/0.51 fof(f233,plain,(
% 0.09/0.51 ~l1_cat_1(sK2_skl)|sQ15_spl),
% 0.09/0.51 inference(component_clause,[status(thm)],[f231])).
% 0.09/0.51 fof(f234,plain,(
% 0.09/0.51 ~sQ12_spl|~sQ13_spl|~sQ14_spl|~sQ15_spl|sQ11_spl),
% 0.09/0.51 inference(split_clause,[status(thm)],[f221,f222,f225,f228,f231,f217])).
% 0.09/0.51 fof(f235,plain,(
% 0.09/0.51 $false|sQ15_spl),
% 0.09/0.51 inference(forward_subsumption_resolution,[status(thm)],[f233,f58])).
% 0.09/0.51 fof(f236,plain,(
% 0.09/0.51 sQ15_spl),
% 0.09/0.51 inference(contradiction_clause,[status(thm)],[f235])).
% 0.09/0.51 fof(f237,plain,(
% 0.09/0.51 $false|sQ14_spl),
% 0.09/0.51 inference(forward_subsumption_resolution,[status(thm)],[f230,f57])).
% 0.09/0.51 fof(f238,plain,(
% 0.09/0.51 sQ14_spl),
% 0.09/0.51 inference(contradiction_clause,[status(thm)],[f237])).
% 0.09/0.51 fof(f239,plain,(
% 0.09/0.51 $false|sQ13_spl),
% 0.09/0.51 inference(forward_subsumption_resolution,[status(thm)],[f227,f54])).
% 0.09/0.51 fof(f240,plain,(
% 0.09/0.51 sQ13_spl),
% 0.09/0.51 inference(contradiction_clause,[status(thm)],[f239])).
% 0.09/0.51 fof(f241,plain,(
% 0.09/0.51 $false|sQ12_spl),
% 0.09/0.51 inference(forward_subsumption_resolution,[status(thm)],[f224,f53])).
% 0.09/0.51 fof(f242,plain,(
% 0.09/0.51 sQ12_spl),
% 0.09/0.51 inference(contradiction_clause,[status(thm)],[f241])).
% 0.09/0.51 fof(f243,plain,(
% 0.09/0.51 ~v2_cat_1(sK0_skl)|~l1_cat_1(sK0_skl)|~v2_cat_1(sK2_skl)|~l1_cat_1(sK2_skl)|sQ10_spl),
% 0.09/0.51 inference(resolution,[status(thm)],[f216,f81])).
% 0.09/0.51 fof(f244,plain,(
% 0.09/0.51 ~sQ12_spl|~sQ13_spl|~sQ14_spl|~sQ15_spl|sQ10_spl),
% 0.09/0.51 inference(split_clause,[status(thm)],[f243,f222,f225,f228,f231,f214])).
% 0.09/0.51 fof(f245,plain,(
% 0.09/0.51 ~v2_cat_1(sK0_skl)|~l1_cat_1(sK0_skl)|~v2_cat_1(sK1_skl)|~l1_cat_1(sK1_skl)|sQ9_spl),
% 0.09/0.51 inference(resolution,[status(thm)],[f213,f82])).
% 0.09/0.51 fof(f246,definition,(
% 0.09/0.51 sQ16_spl <=> (v2_cat_1(sK1_skl))),
% 0.09/0.51 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.09/0.51 fof(f248,plain,(
% 0.09/0.51 ~v2_cat_1(sK1_skl)|sQ16_spl),
% 0.09/0.51 inference(component_clause,[status(thm)],[f246])).
% 0.09/0.51 fof(f249,definition,(
% 0.09/0.51 sQ17_spl <=> (l1_cat_1(sK1_skl))),
% 0.09/0.51 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.09/0.51 fof(f251,plain,(
% 0.09/0.51 ~l1_cat_1(sK1_skl)|sQ17_spl),
% 0.09/0.51 inference(component_clause,[status(thm)],[f249])).
% 0.09/0.51 fof(f252,plain,(
% 0.09/0.51 ~sQ12_spl|~sQ13_spl|~sQ16_spl|~sQ17_spl|sQ9_spl),
% 0.09/0.51 inference(split_clause,[status(thm)],[f245,f222,f225,f246,f249,f211])).
% 0.09/0.51 fof(f253,plain,(
% 0.09/0.51 $false|sQ17_spl),
% 0.09/0.51 inference(forward_subsumption_resolution,[status(thm)],[f251,f56])).
% 0.09/0.51 fof(f254,plain,(
% 0.09/0.51 sQ17_spl),
% 0.09/0.51 inference(contradiction_clause,[status(thm)],[f253])).
% 0.09/0.51 fof(f255,plain,(
% 0.09/0.51 $false|sQ16_spl),
% 0.09/0.51 inference(forward_subsumption_resolution,[status(thm)],[f248,f55])).
% 0.09/0.51 fof(f256,plain,(
% 0.09/0.51 sQ16_spl),
% 0.09/0.51 inference(contradiction_clause,[status(thm)],[f255])).
% 0.09/0.51 fof(f257,plain,(
% 0.09/0.51 ~v2_cat_1(sK0_skl)|~l1_cat_1(sK0_skl)|~v2_cat_1(sK1_skl)|~l1_cat_1(sK1_skl)|sQ8_spl),
% 0.09/0.51 inference(resolution,[status(thm)],[f210,f81])).
% 0.09/0.51 fof(f258,plain,(
% 0.09/0.51 ~sQ12_spl|~sQ13_spl|~sQ16_spl|~sQ17_spl|sQ8_spl),
% 0.09/0.51 inference(split_clause,[status(thm)],[f257,f222,f225,f246,f249,f208])).
% 0.09/0.51 fof(f259,plain,(
% 0.09/0.51 ~v2_cat_1(k12_nattra_1(sK0_skl,sK1_skl))|~l1_cat_1(k12_nattra_1(sK0_skl,sK1_skl))|~v2_cat_1(k12_nattra_1(sK0_skl,sK2_skl))|~l1_cat_1(k12_nattra_1(sK0_skl,sK2_skl))|sQ2_spl),
% 0.09/0.51 inference(resolution,[status(thm)],[f188,f77])).
% 0.09/0.51 fof(f260,plain,(
% 0.09/0.51 ~sQ8_spl|~sQ9_spl|~sQ10_spl|~sQ11_spl|sQ2_spl),
% 0.09/0.51 inference(split_clause,[status(thm)],[f259,f208,f211,f214,f217,f186])).
% 0.09/0.51 fof(f271,plain,(
% 0.09/0.51 ~v2_cat_1(sK0_skl)|~l1_cat_1(sK0_skl)|~v2_cat_1(k11_cat_2(sK1_skl,sK2_skl))|~l1_cat_1(k11_cat_2(sK1_skl,sK2_skl))|sQ5_spl),
% 0.09/0.51 inference(resolution,[status(thm)],[f197,f82])).
% 0.09/0.51 fof(f272,definition,(
% 0.09/0.51 sQ18_spl <=> (v2_cat_1(k11_cat_2(sK1_skl,sK2_skl)))),
% 0.09/0.51 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.09/0.51 fof(f274,plain,(
% 0.09/0.51 ~v2_cat_1(k11_cat_2(sK1_skl,sK2_skl))|sQ18_spl),
% 0.09/0.51 inference(component_clause,[status(thm)],[f272])).
% 0.09/0.51 fof(f275,definition,(
% 0.09/0.51 sQ19_spl <=> (l1_cat_1(k11_cat_2(sK1_skl,sK2_skl)))),
% 0.09/0.51 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.09/0.51 fof(f277,plain,(
% 0.09/0.51 ~l1_cat_1(k11_cat_2(sK1_skl,sK2_skl))|sQ19_spl),
% 0.09/0.51 inference(component_clause,[status(thm)],[f275])).
% 0.09/0.51 fof(f278,plain,(
% 0.09/0.51 ~sQ12_spl|~sQ13_spl|~sQ18_spl|~sQ19_spl|sQ5_spl),
% 0.09/0.51 inference(split_clause,[status(thm)],[f271,f222,f225,f272,f275,f195])).
% 0.09/0.51 fof(f279,plain,(
% 0.09/0.51 ~v2_cat_1(sK1_skl)|~l1_cat_1(sK1_skl)|~v2_cat_1(sK2_skl)|~l1_cat_1(sK2_skl)|sQ19_spl),
% 0.09/0.51 inference(resolution,[status(thm)],[f277,f78])).
% 0.09/0.51 fof(f280,plain,(
% 0.09/0.51 ~sQ16_spl|~sQ17_spl|~sQ14_spl|~sQ15_spl|sQ19_spl),
% 0.09/0.51 inference(split_clause,[status(thm)],[f279,f246,f249,f228,f231,f275])).
% 0.09/0.51 fof(f281,plain,(
% 0.09/0.51 ~v2_cat_1(sK1_skl)|~l1_cat_1(sK1_skl)|~v2_cat_1(sK2_skl)|~l1_cat_1(sK2_skl)|sQ18_spl),
% 0.09/0.51 inference(resolution,[status(thm)],[f274,f77])).
% 0.09/0.51 fof(f282,plain,(
% 0.09/0.51 ~sQ16_spl|~sQ17_spl|~sQ14_spl|~sQ15_spl|sQ18_spl),
% 0.09/0.51 inference(split_clause,[status(thm)],[f281,f246,f249,f228,f231,f272])).
% 0.09/0.51 fof(f283,plain,(
% 0.09/0.51 ~v2_cat_1(sK0_skl)|~l1_cat_1(sK0_skl)|~v2_cat_1(k11_cat_2(sK1_skl,sK2_skl))|~l1_cat_1(k11_cat_2(sK1_skl,sK2_skl))|sQ4_spl),
% 0.09/0.51 inference(resolution,[status(thm)],[f194,f81])).
% 0.09/0.51 fof(f284,plain,(
% 0.09/0.51 ~sQ12_spl|~sQ13_spl|~sQ18_spl|~sQ19_spl|sQ4_spl),
% 0.09/0.51 inference(split_clause,[status(thm)],[f283,f222,f225,f272,f275,f192])).
% 0.09/0.51 fof(f291,plain,(
% 0.09/0.51 ![X0,X1,X2]: (~v2_cat_1(X0)|~l1_cat_1(X0)|~v2_cat_1(X1)|~l1_cat_1(X1)|~v2_cat_1(X2)|~l1_cat_1(X2)|~v2_cat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)))|~l1_cat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)))|~v2_cat_1(k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))|~l1_cat_1(k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))|r1_isocat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))|~m2_cat_1(k17_isocat_2(X0,X1,X2),k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2))))),
% 0.09/0.51 inference(resolution,[status(thm)],[f163,f72])).
% 0.09/0.51 fof(f292,plain,(
% 0.09/0.51 ![X0,X1,X2]: (~v2_cat_1(X0)|~l1_cat_1(X0)|~v2_cat_1(X1)|~l1_cat_1(X1)|~v2_cat_1(X2)|~l1_cat_1(X2)|~v2_cat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)))|~l1_cat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)))|~v2_cat_1(k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))|~l1_cat_1(k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))|r1_isocat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2))))),
% 0.09/0.51 inference(forward_subsumption_resolution,[status(thm)],[f291,f84])).
% 0.09/0.51 fof(f293,plain,(
% 0.09/0.51 ~v2_cat_1(sK0_skl)|~l1_cat_1(sK0_skl)|~v2_cat_1(sK1_skl)|~l1_cat_1(sK1_skl)|~v2_cat_1(sK2_skl)|~l1_cat_1(sK2_skl)|~v2_cat_1(k12_nattra_1(sK0_skl,k11_cat_2(sK1_skl,sK2_skl)))|~l1_cat_1(k12_nattra_1(sK0_skl,k11_cat_2(sK1_skl,sK2_skl)))|~v2_cat_1(k11_cat_2(k12_nattra_1(sK0_skl,sK1_skl),k12_nattra_1(sK0_skl,sK2_skl)))|~l1_cat_1(k11_cat_2(k12_nattra_1(sK0_skl,sK1_skl),k12_nattra_1(sK0_skl,sK2_skl)))),
% 0.09/0.51 inference(resolution,[status(thm)],[f292,f59])).
% 0.09/0.51 fof(f294,plain,(
% 0.09/0.51 ~sQ12_spl|~sQ13_spl|~sQ16_spl|~sQ17_spl|~sQ14_spl|~sQ15_spl|~sQ4_spl|~sQ5_spl|~sQ2_spl|~sQ3_spl),
% 0.09/0.51 inference(split_clause,[status(thm)],[f293,f222,f225,f246,f249,f228,f231,f192,f195,f186,f189])).
% 0.09/0.51 fof(f295,plain,(
% 0.09/0.51 $false),
% 0.09/0.51 inference(sat_refutation,[status(thm)],[f220,f234,f236,f238,f240,f242,f244,f252,f254,f256,f258,f260,f278,f280,f282,f284,f294])).
% 0.09/0.51 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.52 % Elapsed time: 0.149312 seconds
% 0.09/0.52 % CPU time: 0.927884 seconds
% 0.09/0.52 % Total memory used: 105.927 MB
% 0.09/0.52 % Net memory used: 105.083 MB
%------------------------------------------------------------------------------