TSTP Solution File: CAT033+2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : CAT033+2 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:13:26 EDT 2024
% Result : Theorem 21.08s 3.30s
% Output : CNFRefutation 21.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CAT033+2 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 22:02:20 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.38/0.62 % Drodi V3.6.0
% 21.08/3.30 % Refutation found
% 21.08/3.30 % SZS status Theorem for theBenchmark: Theorem is valid
% 21.08/3.30 % SZS output start CNFRefutation for theBenchmark
% 21.08/3.30 fof(f18,axiom,(
% 21.08/3.30 (! [A,B] : r1_tarski(A,A) )),
% 21.08/3.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 21.08/3.30 fof(f27,axiom,(
% 21.08/3.30 (! [A,B] :( ~ v1_xboole_0(A)=> ~ v1_xboole_0(k2_xboole_0(A,B)) ) )),
% 21.08/3.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 21.08/3.30 fof(f33,axiom,(
% 21.08/3.30 (! [A] :( v1_xboole_0(A)<=> A = k1_xboole_0 ) )),
% 21.08/3.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 21.08/3.30 fof(f54,axiom,(
% 21.08/3.30 (! [A,B] : k2_xboole_0(A,B) = k2_xboole_0(B,A) )),
% 21.08/3.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 21.08/3.30 fof(f62,axiom,(
% 21.08/3.30 (! [A] : k2_xboole_0(A,k1_xboole_0) = A )),
% 21.08/3.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 21.08/3.30 fof(f2442,axiom,(
% 21.08/3.30 ( v1_xboole_0(k1_xboole_0)& v1_relat_1(k1_xboole_0)& v3_relat_1(k1_xboole_0)& v1_funct_1(k1_xboole_0)& v2_funct_1(k1_xboole_0)& v1_finset_1(k1_xboole_0)& v1_finseq_1(k1_xboole_0) ) ),
% 21.08/3.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 21.08/3.30 fof(f3584,axiom,(
% 21.08/3.30 (! [A] :( ( v2_cat_1(A)& l1_cat_1(A) )=> ~ v1_xboole_0(k17_ens_1(A)) ) )),
% 21.08/3.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 21.08/3.30 fof(f3651,axiom,(
% 21.08/3.30 (! [A] :( ~ v1_xboole_0(A)=> (! [B] :( ( v2_cat_1(B)& l1_cat_1(B) )=> (! [C] :( m1_subset_1(C,u1_cat_1(B))=> ( r1_tarski(k17_ens_1(B),A)=> m2_cat_1(k20_ens_1(B,C),B,k12_ens_1(A)) ) ) )) )) )),
% 21.08/3.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 21.08/3.30 fof(f3800,axiom,(
% 21.08/3.30 (! [A] :( ( v2_cat_1(A)& l1_cat_1(A) )=> k1_yoneda_1(A) = k12_ens_1(k17_ens_1(A)) ) )),
% 21.08/3.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 21.08/3.30 fof(f3802,conjecture,(
% 21.08/3.30 (! [A] :( ( v2_cat_1(A)& l1_cat_1(A) )=> (! [B] :( m1_subset_1(B,u1_cat_1(A))=> m2_cat_1(k20_ens_1(A,B),A,k1_yoneda_1(A)) ) )) )),
% 21.08/3.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 21.08/3.30 fof(f3803,negated_conjecture,(
% 21.08/3.30 ~((! [A] :( ( v2_cat_1(A)& l1_cat_1(A) )=> (! [B] :( m1_subset_1(B,u1_cat_1(A))=> m2_cat_1(k20_ens_1(A,B),A,k1_yoneda_1(A)) ) )) ))),
% 21.08/3.30 inference(negated_conjecture,[status(cth)],[f3802])).
% 21.08/3.30 fof(f3879,plain,(
% 21.08/3.30 ![A]: r1_tarski(A,A)),
% 21.08/3.30 inference(miniscoping,[status(esa)],[f18])).
% 21.08/3.30 fof(f3880,plain,(
% 21.08/3.30 ![X0]: (r1_tarski(X0,X0))),
% 21.08/3.30 inference(cnf_transformation,[status(esa)],[f3879])).
% 21.08/3.30 fof(f3887,plain,(
% 21.08/3.30 ![A,B]: (v1_xboole_0(A)|~v1_xboole_0(k2_xboole_0(A,B)))),
% 21.08/3.30 inference(pre_NNF_transformation,[status(esa)],[f27])).
% 21.08/3.30 fof(f3888,plain,(
% 21.08/3.30 ![A]: (v1_xboole_0(A)|(![B]: ~v1_xboole_0(k2_xboole_0(A,B))))),
% 21.08/3.30 inference(miniscoping,[status(esa)],[f3887])).
% 21.08/3.30 fof(f3889,plain,(
% 21.08/3.30 ![X0,X1]: (v1_xboole_0(X0)|~v1_xboole_0(k2_xboole_0(X0,X1)))),
% 21.08/3.30 inference(cnf_transformation,[status(esa)],[f3888])).
% 21.08/3.30 fof(f3925,plain,(
% 21.08/3.30 ![A]: ((~v1_xboole_0(A)|A=k1_xboole_0)&(v1_xboole_0(A)|~A=k1_xboole_0))),
% 21.08/3.30 inference(NNF_transformation,[status(esa)],[f33])).
% 21.08/3.30 fof(f3926,plain,(
% 21.08/3.30 (![A]: (~v1_xboole_0(A)|A=k1_xboole_0))&(![A]: (v1_xboole_0(A)|~A=k1_xboole_0))),
% 21.08/3.30 inference(miniscoping,[status(esa)],[f3925])).
% 21.08/3.30 fof(f3927,plain,(
% 21.08/3.30 ![X0]: (~v1_xboole_0(X0)|X0=k1_xboole_0)),
% 21.08/3.30 inference(cnf_transformation,[status(esa)],[f3926])).
% 21.08/3.30 fof(f4009,plain,(
% 21.08/3.30 ![X0,X1]: (k2_xboole_0(X0,X1)=k2_xboole_0(X1,X0))),
% 21.08/3.30 inference(cnf_transformation,[status(esa)],[f54])).
% 21.08/3.30 fof(f4016,plain,(
% 21.08/3.30 ![X0]: (k2_xboole_0(X0,k1_xboole_0)=X0)),
% 21.08/3.30 inference(cnf_transformation,[status(esa)],[f62])).
% 21.08/3.30 fof(f10973,plain,(
% 21.08/3.30 v1_xboole_0(k1_xboole_0)),
% 21.08/3.30 inference(cnf_transformation,[status(esa)],[f2442])).
% 21.08/3.30 fof(f14567,plain,(
% 21.08/3.30 ![A]: ((~v2_cat_1(A)|~l1_cat_1(A))|~v1_xboole_0(k17_ens_1(A)))),
% 21.08/3.30 inference(pre_NNF_transformation,[status(esa)],[f3584])).
% 21.08/3.30 fof(f14568,plain,(
% 21.08/3.30 ![X0]: (~v2_cat_1(X0)|~l1_cat_1(X0)|~v1_xboole_0(k17_ens_1(X0)))),
% 21.08/3.30 inference(cnf_transformation,[status(esa)],[f14567])).
% 21.08/3.30 fof(f14792,plain,(
% 21.08/3.30 ![A]: (v1_xboole_0(A)|(![B]: ((~v2_cat_1(B)|~l1_cat_1(B))|(![C]: (~m1_subset_1(C,u1_cat_1(B))|(~r1_tarski(k17_ens_1(B),A)|m2_cat_1(k20_ens_1(B,C),B,k12_ens_1(A))))))))),
% 21.08/3.30 inference(pre_NNF_transformation,[status(esa)],[f3651])).
% 21.08/3.30 fof(f14793,plain,(
% 21.08/3.30 ![X0,X1,X2]: (v1_xboole_0(X0)|~v2_cat_1(X1)|~l1_cat_1(X1)|~m1_subset_1(X2,u1_cat_1(X1))|~r1_tarski(k17_ens_1(X1),X0)|m2_cat_1(k20_ens_1(X1,X2),X1,k12_ens_1(X0)))),
% 21.08/3.31 inference(cnf_transformation,[status(esa)],[f14792])).
% 21.08/3.31 fof(f15186,plain,(
% 21.08/3.31 ![A]: ((~v2_cat_1(A)|~l1_cat_1(A))|k1_yoneda_1(A)=k12_ens_1(k17_ens_1(A)))),
% 21.08/3.31 inference(pre_NNF_transformation,[status(esa)],[f3800])).
% 21.08/3.31 fof(f15187,plain,(
% 21.08/3.31 ![X0]: (~v2_cat_1(X0)|~l1_cat_1(X0)|k1_yoneda_1(X0)=k12_ens_1(k17_ens_1(X0)))),
% 21.08/3.31 inference(cnf_transformation,[status(esa)],[f15186])).
% 21.08/3.31 fof(f15190,plain,(
% 21.08/3.31 (?[A]: ((v2_cat_1(A)&l1_cat_1(A))&(?[B]: (m1_subset_1(B,u1_cat_1(A))&~m2_cat_1(k20_ens_1(A,B),A,k1_yoneda_1(A))))))),
% 21.08/3.31 inference(pre_NNF_transformation,[status(esa)],[f3803])).
% 21.08/3.31 fof(f15191,plain,(
% 21.08/3.31 ((v2_cat_1(sk0_1178)&l1_cat_1(sk0_1178))&(m1_subset_1(sk0_1179,u1_cat_1(sk0_1178))&~m2_cat_1(k20_ens_1(sk0_1178,sk0_1179),sk0_1178,k1_yoneda_1(sk0_1178))))),
% 21.08/3.31 inference(skolemization,[status(esa)],[f15190])).
% 21.08/3.31 fof(f15192,plain,(
% 21.08/3.31 v2_cat_1(sk0_1178)),
% 21.08/3.31 inference(cnf_transformation,[status(esa)],[f15191])).
% 21.08/3.31 fof(f15193,plain,(
% 21.08/3.31 l1_cat_1(sk0_1178)),
% 21.08/3.31 inference(cnf_transformation,[status(esa)],[f15191])).
% 21.08/3.31 fof(f15194,plain,(
% 21.08/3.31 m1_subset_1(sk0_1179,u1_cat_1(sk0_1178))),
% 21.08/3.31 inference(cnf_transformation,[status(esa)],[f15191])).
% 21.08/3.31 fof(f15195,plain,(
% 21.08/3.31 ~m2_cat_1(k20_ens_1(sk0_1178,sk0_1179),sk0_1178,k1_yoneda_1(sk0_1178))),
% 21.08/3.31 inference(cnf_transformation,[status(esa)],[f15191])).
% 21.08/3.31 fof(f20105,plain,(
% 21.08/3.31 spl0_773 <=> l1_cat_1(sk0_1178)),
% 21.08/3.31 introduced(split_symbol_definition)).
% 21.08/3.31 fof(f20107,plain,(
% 21.08/3.31 ~l1_cat_1(sk0_1178)|spl0_773),
% 21.08/3.31 inference(component_clause,[status(thm)],[f20105])).
% 21.08/3.31 fof(f20108,plain,(
% 21.08/3.31 spl0_774 <=> k1_yoneda_1(sk0_1178)=k12_ens_1(k17_ens_1(sk0_1178))),
% 21.08/3.31 introduced(split_symbol_definition)).
% 21.08/3.31 fof(f20109,plain,(
% 21.08/3.31 k1_yoneda_1(sk0_1178)=k12_ens_1(k17_ens_1(sk0_1178))|~spl0_774),
% 21.08/3.31 inference(component_clause,[status(thm)],[f20108])).
% 21.08/3.31 fof(f20111,plain,(
% 21.08/3.31 ~l1_cat_1(sk0_1178)|k1_yoneda_1(sk0_1178)=k12_ens_1(k17_ens_1(sk0_1178))),
% 21.08/3.31 inference(resolution,[status(thm)],[f15187,f15192])).
% 21.08/3.31 fof(f20112,plain,(
% 21.08/3.31 ~spl0_773|spl0_774),
% 21.08/3.31 inference(split_clause,[status(thm)],[f20111,f20105,f20108])).
% 21.08/3.31 fof(f20113,plain,(
% 21.08/3.31 $false|spl0_773),
% 21.08/3.31 inference(forward_subsumption_resolution,[status(thm)],[f20107,f15193])).
% 21.08/3.31 fof(f20114,plain,(
% 21.08/3.31 spl0_773),
% 21.08/3.31 inference(contradiction_clause,[status(thm)],[f20113])).
% 21.08/3.31 fof(f20130,plain,(
% 21.08/3.31 ![X0,X1]: (v1_xboole_0(k17_ens_1(X0))|~v2_cat_1(X0)|~l1_cat_1(X0)|~m1_subset_1(X1,u1_cat_1(X0))|m2_cat_1(k20_ens_1(X0,X1),X0,k12_ens_1(k17_ens_1(X0))))),
% 21.08/3.31 inference(resolution,[status(thm)],[f3880,f14793])).
% 21.08/3.31 fof(f20139,plain,(
% 21.08/3.31 spl0_778 <=> v2_cat_1(sk0_1178)),
% 21.08/3.31 introduced(split_symbol_definition)).
% 21.08/3.31 fof(f20141,plain,(
% 21.08/3.31 ~v2_cat_1(sk0_1178)|spl0_778),
% 21.08/3.31 inference(component_clause,[status(thm)],[f20139])).
% 21.08/3.31 fof(f20147,plain,(
% 21.08/3.31 $false|spl0_778),
% 21.08/3.31 inference(forward_subsumption_resolution,[status(thm)],[f20141,f15192])).
% 21.08/3.31 fof(f20148,plain,(
% 21.08/3.31 spl0_778),
% 21.08/3.31 inference(contradiction_clause,[status(thm)],[f20147])).
% 21.08/3.31 fof(f20287,plain,(
% 21.08/3.31 spl0_796 <=> v1_xboole_0(k17_ens_1(sk0_1178))),
% 21.08/3.31 introduced(split_symbol_definition)).
% 21.08/3.31 fof(f20288,plain,(
% 21.08/3.31 v1_xboole_0(k17_ens_1(sk0_1178))|~spl0_796),
% 21.08/3.31 inference(component_clause,[status(thm)],[f20287])).
% 21.08/3.31 fof(f20290,plain,(
% 21.08/3.31 spl0_797 <=> m2_cat_1(k20_ens_1(sk0_1178,sk0_1179),sk0_1178,k12_ens_1(k17_ens_1(sk0_1178)))),
% 21.08/3.31 introduced(split_symbol_definition)).
% 21.08/3.31 fof(f20291,plain,(
% 21.08/3.31 m2_cat_1(k20_ens_1(sk0_1178,sk0_1179),sk0_1178,k12_ens_1(k17_ens_1(sk0_1178)))|~spl0_797),
% 21.08/3.31 inference(component_clause,[status(thm)],[f20290])).
% 21.08/3.31 fof(f20295,plain,(
% 21.08/3.31 m2_cat_1(k20_ens_1(sk0_1178,sk0_1179),sk0_1178,k1_yoneda_1(sk0_1178))|~spl0_774|~spl0_797),
% 21.08/3.31 inference(forward_demodulation,[status(thm)],[f20109,f20291])).
% 21.08/3.31 fof(f20296,plain,(
% 21.08/3.31 $false|~spl0_774|~spl0_797),
% 21.08/3.31 inference(forward_subsumption_resolution,[status(thm)],[f20295,f15195])).
% 21.08/3.31 fof(f20297,plain,(
% 21.08/3.31 ~spl0_774|~spl0_797),
% 21.08/3.31 inference(contradiction_clause,[status(thm)],[f20296])).
% 21.08/3.31 fof(f21169,plain,(
% 21.08/3.31 k17_ens_1(sk0_1178)=k1_xboole_0|~spl0_796),
% 21.08/3.31 inference(resolution,[status(thm)],[f3927,f20288])).
% 21.08/3.31 fof(f21361,plain,(
% 21.08/3.31 spl0_966 <=> v1_xboole_0(k1_xboole_0)),
% 21.08/3.31 introduced(split_symbol_definition)).
% 21.66/3.37 fof(f22962,plain,(
% 21.66/3.37 ![X0]: (X0=k2_xboole_0(k1_xboole_0,X0))),
% 21.66/3.37 inference(paramodulation,[status(thm)],[f4016,f4009])).
% 21.66/3.37 fof(f22980,plain,(
% 21.66/3.37 spl0_1199 <=> ~v1_xboole_0(X0)),
% 21.66/3.37 introduced(split_symbol_definition)).
% 21.66/3.37 fof(f22981,plain,(
% 21.66/3.37 ![X0]: (~v1_xboole_0(X0)|~spl0_1199)),
% 21.66/3.37 inference(component_clause,[status(thm)],[f22980])).
% 21.66/3.37 fof(f22983,plain,(
% 21.66/3.37 ![X0]: (v1_xboole_0(k1_xboole_0)|~v1_xboole_0(X0))),
% 21.66/3.37 inference(paramodulation,[status(thm)],[f22962,f3889])).
% 21.66/3.37 fof(f22984,plain,(
% 21.66/3.37 spl0_966|spl0_1199),
% 21.66/3.37 inference(split_clause,[status(thm)],[f22983,f21361,f22980])).
% 21.66/3.37 fof(f23427,plain,(
% 21.66/3.37 $false|~spl0_1199),
% 21.66/3.37 inference(backward_subsumption_resolution,[status(thm)],[f10973,f22981])).
% 21.66/3.37 fof(f23428,plain,(
% 21.66/3.37 ~spl0_1199),
% 21.66/3.37 inference(contradiction_clause,[status(thm)],[f23427])).
% 21.66/3.37 fof(f23444,plain,(
% 21.66/3.37 v1_xboole_0(k17_ens_1(sk0_1178))|~v2_cat_1(sk0_1178)|~l1_cat_1(sk0_1178)|m2_cat_1(k20_ens_1(sk0_1178,sk0_1179),sk0_1178,k12_ens_1(k17_ens_1(sk0_1178)))),
% 21.66/3.37 inference(resolution,[status(thm)],[f20130,f15194])).
% 21.66/3.37 fof(f23445,plain,(
% 21.66/3.37 spl0_796|~spl0_778|~spl0_773|spl0_797),
% 21.66/3.37 inference(split_clause,[status(thm)],[f23444,f20287,f20139,f20105,f20290])).
% 21.66/3.37 fof(f26623,plain,(
% 21.66/3.37 ~v2_cat_1(sk0_1178)|~l1_cat_1(sk0_1178)|~v1_xboole_0(k1_xboole_0)|~spl0_796),
% 21.66/3.37 inference(paramodulation,[status(thm)],[f21169,f14568])).
% 21.66/3.37 fof(f26624,plain,(
% 21.66/3.37 ~spl0_778|~spl0_773|~spl0_966|~spl0_796),
% 21.66/3.37 inference(split_clause,[status(thm)],[f26623,f20139,f20105,f21361,f20287])).
% 21.66/3.37 fof(f26625,plain,(
% 21.66/3.37 $false),
% 21.66/3.37 inference(sat_refutation,[status(thm)],[f20112,f20114,f20148,f20297,f22984,f23428,f23445,f26624])).
% 21.66/3.37 % SZS output end CNFRefutation for theBenchmark.p
% 22.14/3.39 % Elapsed time: 3.036797 seconds
% 22.14/3.39 % CPU time: 21.868258 seconds
% 22.14/3.39 % Total memory used: 803.511 MB
% 22.14/3.39 % Net memory used: 797.514 MB
%------------------------------------------------------------------------------