TSTP Solution File: SET860-2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SET860-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 20:40:35 EDT 2024
% Result : Unsatisfiable 0.11s 0.36s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : SET860-2 : TPTP v8.1.2. Released v3.2.0.
% 0.05/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33 % Computer : n009.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Apr 29 21:20:41 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.34 % Drodi V3.6.0
% 0.11/0.36 % Refutation found
% 0.11/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.36 fof(f1,negated_conjecture,(
% 0.11/0.36 ~ c_lessequals(c_Union(v_C,t_a),v_A,tc_set(t_a)) ),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f2,negated_conjecture,(
% 0.11/0.36 ~ c_lessequals(v_B,c_Union(v_C,t_a),tc_set(t_a)) ),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f3,negated_conjecture,(
% 0.11/0.36 (![V_U]: (( c_lessequals(v_B,V_U,tc_set(t_a))| c_lessequals(V_U,v_A,tc_set(t_a))| ~ c_in(V_U,v_C,tc_set(t_a)) ) ))),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f14,axiom,(
% 0.11/0.36 (![V_A,V_C,T_a]: (( ~ c_in(V_A,c_Union(V_C,T_a),T_a)| c_in(c_Main_OUnionE__1(V_A,V_C,T_a),V_C,tc_set(T_a)) ) ))),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f15,axiom,(
% 0.11/0.36 (![V_A,V_C,T_a]: (( ~ c_in(V_A,c_Union(V_C,T_a),T_a)| c_in(V_A,c_Main_OUnionE__1(V_A,V_C,T_a),T_a) ) ))),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f16,axiom,(
% 0.11/0.36 (![V_A,V_X,T_a,V_C]: (( ~ c_in(V_A,V_X,T_a)| ~ c_in(V_X,V_C,tc_set(T_a))| c_in(V_A,c_Union(V_C,T_a),T_a) ) ))),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f21,axiom,(
% 0.11/0.36 (![V_c,V_A,T_a,V_B]: (( ~ c_in(V_c,V_A,T_a)| ~ c_lessequals(V_A,V_B,tc_set(T_a))| c_in(V_c,V_B,T_a) ) ))),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f22,axiom,(
% 0.11/0.36 (![V_A,V_B,T_a]: (( c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_A,T_a)| c_lessequals(V_A,V_B,tc_set(T_a)) ) ))),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f23,axiom,(
% 0.11/0.36 (![V_A,V_B,T_a]: (( ~ c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_B,T_a)| c_lessequals(V_A,V_B,tc_set(T_a)) ) ))),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f25,plain,(
% 0.11/0.36 ~c_lessequals(c_Union(v_C,t_a),v_A,tc_set(t_a))),
% 0.11/0.36 inference(cnf_transformation,[status(esa)],[f1])).
% 0.11/0.36 fof(f26,plain,(
% 0.11/0.36 ~c_lessequals(v_B,c_Union(v_C,t_a),tc_set(t_a))),
% 0.11/0.36 inference(cnf_transformation,[status(esa)],[f2])).
% 0.11/0.36 fof(f27,plain,(
% 0.11/0.36 ![X0]: (c_lessequals(v_B,X0,tc_set(t_a))|c_lessequals(X0,v_A,tc_set(t_a))|~c_in(X0,v_C,tc_set(t_a)))),
% 0.11/0.36 inference(cnf_transformation,[status(esa)],[f3])).
% 0.11/0.36 fof(f42,plain,(
% 0.11/0.36 ![X0,X1,X2]: (~c_in(X0,c_Union(X1,X2),X2)|c_in(c_Main_OUnionE__1(X0,X1,X2),X1,tc_set(X2)))),
% 0.11/0.36 inference(cnf_transformation,[status(esa)],[f14])).
% 0.11/0.36 fof(f43,plain,(
% 0.11/0.36 ![X0,X1,X2]: (~c_in(X0,c_Union(X1,X2),X2)|c_in(X0,c_Main_OUnionE__1(X0,X1,X2),X2))),
% 0.11/0.36 inference(cnf_transformation,[status(esa)],[f15])).
% 0.11/0.36 fof(f44,plain,(
% 0.11/0.36 ![V_A,T_a,V_C]: ((![V_X]: (~c_in(V_A,V_X,T_a)|~c_in(V_X,V_C,tc_set(T_a))))|c_in(V_A,c_Union(V_C,T_a),T_a))),
% 0.11/0.36 inference(miniscoping,[status(esa)],[f16])).
% 0.11/0.36 fof(f45,plain,(
% 0.11/0.36 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|~c_in(X1,X3,tc_set(X2))|c_in(X0,c_Union(X3,X2),X2))),
% 0.11/0.36 inference(cnf_transformation,[status(esa)],[f44])).
% 0.11/0.36 fof(f52,plain,(
% 0.11/0.36 ![V_c,T_a,V_B]: ((![V_A]: (~c_in(V_c,V_A,T_a)|~c_lessequals(V_A,V_B,tc_set(T_a))))|c_in(V_c,V_B,T_a))),
% 0.11/0.36 inference(miniscoping,[status(esa)],[f21])).
% 0.11/0.36 fof(f53,plain,(
% 0.11/0.36 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|~c_lessequals(X1,X3,tc_set(X2))|c_in(X0,X3,X2))),
% 0.11/0.36 inference(cnf_transformation,[status(esa)],[f52])).
% 0.11/0.36 fof(f54,plain,(
% 0.11/0.36 ![X0,X1,X2]: (c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 0.11/0.36 inference(cnf_transformation,[status(esa)],[f22])).
% 0.11/0.36 fof(f55,plain,(
% 0.11/0.36 ![X0,X1,X2]: (~c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 0.11/0.36 inference(cnf_transformation,[status(esa)],[f23])).
% 0.11/0.36 fof(f71,plain,(
% 0.11/0.36 ![X0,X1,X2,X3]: (c_lessequals(X0,c_Union(X1,X2),tc_set(X2))|~c_in(c_Main_OsubsetI__1(X0,c_Union(X1,X2),X2),X3,X2)|~c_in(X3,X1,tc_set(X2)))),
% 0.11/0.36 inference(resolution,[status(thm)],[f55,f45])).
% 0.11/0.36 fof(f78,plain,(
% 0.11/0.36 ![X0]: (~c_in(X0,c_Union(v_C,t_a),t_a)|c_lessequals(v_B,c_Main_OUnionE__1(X0,v_C,t_a),tc_set(t_a))|c_lessequals(c_Main_OUnionE__1(X0,v_C,t_a),v_A,tc_set(t_a)))),
% 0.11/0.36 inference(resolution,[status(thm)],[f42,f27])).
% 0.11/0.36 fof(f129,plain,(
% 0.11/0.36 ![X0,X1]: (~c_in(X0,c_Union(v_C,t_a),t_a)|c_lessequals(v_B,c_Main_OUnionE__1(X0,v_C,t_a),tc_set(t_a))|~c_in(X1,c_Main_OUnionE__1(X0,v_C,t_a),t_a)|c_in(X1,v_A,t_a))),
% 0.11/0.36 inference(resolution,[status(thm)],[f78,f53])).
% 0.11/0.36 fof(f131,plain,(
% 0.11/0.36 ![X0,X1,X2]: (~c_in(X0,c_Union(v_C,t_a),t_a)|~c_in(X1,c_Main_OUnionE__1(X0,v_C,t_a),t_a)|c_in(X1,v_A,t_a)|~c_in(X2,v_B,t_a)|c_in(X2,c_Main_OUnionE__1(X0,v_C,t_a),t_a))),
% 0.11/0.36 inference(resolution,[status(thm)],[f129,f53])).
% 0.11/0.36 fof(f134,plain,(
% 0.11/0.36 ![X0,X1]: (~c_in(X0,c_Union(v_C,t_a),t_a)|c_in(X0,v_A,t_a)|~c_in(X1,v_B,t_a)|c_in(X1,c_Main_OUnionE__1(X0,v_C,t_a),t_a)|~c_in(X0,c_Union(v_C,t_a),t_a))),
% 0.11/0.36 inference(resolution,[status(thm)],[f131,f43])).
% 0.11/0.36 fof(f135,plain,(
% 0.11/0.36 ![X0,X1]: (~c_in(X0,c_Union(v_C,t_a),t_a)|c_in(X0,v_A,t_a)|~c_in(X1,v_B,t_a)|c_in(X1,c_Main_OUnionE__1(X0,v_C,t_a),t_a))),
% 0.11/0.36 inference(duplicate_literals_removal,[status(esa)],[f134])).
% 0.11/0.36 fof(f137,plain,(
% 0.11/0.36 ![X0,X1,X2]: (~c_in(X0,c_Union(v_C,t_a),t_a)|c_in(X0,v_A,t_a)|~c_in(c_Main_OsubsetI__1(X1,c_Union(X2,t_a),t_a),v_B,t_a)|c_lessequals(X1,c_Union(X2,t_a),tc_set(t_a))|~c_in(c_Main_OUnionE__1(X0,v_C,t_a),X2,tc_set(t_a)))),
% 0.11/0.36 inference(resolution,[status(thm)],[f135,f71])).
% 0.11/0.36 fof(f152,plain,(
% 0.11/0.36 ![X0,X1]: (~c_in(X0,c_Union(v_C,t_a),t_a)|c_in(X0,v_A,t_a)|c_lessequals(v_B,c_Union(X1,t_a),tc_set(t_a))|~c_in(c_Main_OUnionE__1(X0,v_C,t_a),X1,tc_set(t_a))|c_lessequals(v_B,c_Union(X1,t_a),tc_set(t_a)))),
% 0.11/0.36 inference(resolution,[status(thm)],[f137,f54])).
% 0.11/0.36 fof(f153,plain,(
% 0.11/0.36 ![X0,X1]: (~c_in(X0,c_Union(v_C,t_a),t_a)|c_in(X0,v_A,t_a)|c_lessequals(v_B,c_Union(X1,t_a),tc_set(t_a))|~c_in(c_Main_OUnionE__1(X0,v_C,t_a),X1,tc_set(t_a)))),
% 0.11/0.36 inference(duplicate_literals_removal,[status(esa)],[f152])).
% 0.11/0.36 fof(f154,plain,(
% 0.11/0.36 spl0_2 <=> ~c_in(X0,c_Union(v_C,t_a),t_a)|c_in(X0,v_A,t_a)|~c_in(X0,c_Union(v_C,t_a),t_a)),
% 0.11/0.36 introduced(split_symbol_definition)).
% 0.11/0.36 fof(f155,plain,(
% 0.11/0.36 ![X0]: (~c_in(X0,c_Union(v_C,t_a),t_a)|c_in(X0,v_A,t_a)|~c_in(X0,c_Union(v_C,t_a),t_a)|~spl0_2)),
% 0.11/0.36 inference(component_clause,[status(thm)],[f154])).
% 0.11/0.36 fof(f157,plain,(
% 0.11/0.36 spl0_3 <=> c_lessequals(v_B,c_Union(v_C,t_a),tc_set(t_a))),
% 0.11/0.36 introduced(split_symbol_definition)).
% 0.11/0.36 fof(f158,plain,(
% 0.11/0.36 c_lessequals(v_B,c_Union(v_C,t_a),tc_set(t_a))|~spl0_3),
% 0.11/0.36 inference(component_clause,[status(thm)],[f157])).
% 0.11/0.36 fof(f160,plain,(
% 0.11/0.36 ![X0]: (~c_in(X0,c_Union(v_C,t_a),t_a)|c_in(X0,v_A,t_a)|c_lessequals(v_B,c_Union(v_C,t_a),tc_set(t_a))|~c_in(X0,c_Union(v_C,t_a),t_a))),
% 0.11/0.36 inference(resolution,[status(thm)],[f153,f42])).
% 0.11/0.36 fof(f161,plain,(
% 0.11/0.36 spl0_2|spl0_3),
% 0.11/0.36 inference(split_clause,[status(thm)],[f160,f154,f157])).
% 0.11/0.36 fof(f169,plain,(
% 0.11/0.36 ![X0]: (~c_in(X0,c_Union(v_C,t_a),t_a)|c_in(X0,v_A,t_a)|~spl0_2)),
% 0.11/0.36 inference(duplicate_literals_removal,[status(esa)],[f155])).
% 0.11/0.36 fof(f170,plain,(
% 0.11/0.36 ![X0]: (c_in(c_Main_OsubsetI__1(c_Union(v_C,t_a),X0,t_a),v_A,t_a)|c_lessequals(c_Union(v_C,t_a),X0,tc_set(t_a))|~spl0_2)),
% 0.11/0.36 inference(resolution,[status(thm)],[f169,f54])).
% 0.11/0.36 fof(f178,plain,(
% 0.11/0.36 spl0_4 <=> c_lessequals(c_Union(v_C,t_a),v_A,tc_set(t_a))),
% 0.11/0.36 introduced(split_symbol_definition)).
% 0.11/0.36 fof(f179,plain,(
% 0.11/0.36 c_lessequals(c_Union(v_C,t_a),v_A,tc_set(t_a))|~spl0_4),
% 0.11/0.36 inference(component_clause,[status(thm)],[f178])).
% 0.11/0.36 fof(f181,plain,(
% 0.11/0.36 c_lessequals(c_Union(v_C,t_a),v_A,tc_set(t_a))|c_lessequals(c_Union(v_C,t_a),v_A,tc_set(t_a))|~spl0_2),
% 0.11/0.36 inference(resolution,[status(thm)],[f170,f55])).
% 0.11/0.36 fof(f182,plain,(
% 0.11/0.36 spl0_4|~spl0_2),
% 0.11/0.36 inference(split_clause,[status(thm)],[f181,f178,f154])).
% 0.11/0.36 fof(f183,plain,(
% 0.11/0.36 $false|~spl0_4),
% 0.11/0.36 inference(forward_subsumption_resolution,[status(thm)],[f179,f25])).
% 0.11/0.36 fof(f184,plain,(
% 0.11/0.36 ~spl0_4),
% 0.11/0.36 inference(contradiction_clause,[status(thm)],[f183])).
% 0.11/0.36 fof(f185,plain,(
% 0.11/0.36 $false|~spl0_3),
% 0.11/0.36 inference(forward_subsumption_resolution,[status(thm)],[f158,f26])).
% 0.11/0.36 fof(f186,plain,(
% 0.11/0.36 ~spl0_3),
% 0.11/0.36 inference(contradiction_clause,[status(thm)],[f185])).
% 0.11/0.36 fof(f187,plain,(
% 0.11/0.36 $false),
% 0.11/0.36 inference(sat_refutation,[status(thm)],[f161,f182,f184,f186])).
% 0.11/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.37 % Elapsed time: 0.034546 seconds
% 0.11/0.37 % CPU time: 0.173557 seconds
% 0.11/0.37 % Total memory used: 36.342 MB
% 0.11/0.37 % Net memory used: 36.175 MB
%------------------------------------------------------------------------------