%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET842-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 02:12:43 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET842-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n015.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 05:44:06 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.36 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.38 fof(f1,negated_conjecture,(
% 0.13/0.38 ~ c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f2,negated_conjecture,(
% 0.13/0.38 (![V_U]: (( c_lessequals(V_U,v_m,tc_set(tc_set(t_a)))| ~ c_in(V_U,v_Y,tc_set(tc_set(t_a))) ) ))),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f3,axiom,(
% 0.13/0.38 (![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)) ) ))),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f4,axiom,(
% 0.13/0.38 (![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) ) ))),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f5,axiom,(
% 0.13/0.38 (![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) ) ))),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f6,axiom,(
% 0.13/0.38 (![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)) ) ))),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f7,axiom,(
% 0.13/0.38 (![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)) ) ))),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f8,plain,(
% 0.13/0.38 ~c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a)))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.38 fof(f9,plain,(
% 0.13/0.38 ![X0]: (c_lessequals(X0,v_m,tc_set(tc_set(t_a)))|~c_in(X0,v_Y,tc_set(tc_set(t_a))))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.38 fof(f10,plain,(
% 0.13/0.38 ![X0,X1,X2]: (~c_in(X0,c_Union(X1,X2),X2)|c_in(c_Main_OUnionE__1(X0,X1,X2),X1,tc_set(X2)))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.38 fof(f11,plain,(
% 0.13/0.38 ![X0,X1,X2]: (~c_in(X0,c_Union(X1,X2),X2)|c_in(X0,c_Main_OUnionE__1(X0,X1,X2),X2))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.38 fof(f12,plain,(
% 0.13/0.38 ![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))),
% 0.13/0.38 inference(miniscoping,[status(thm)],[f5])).
% 0.13/0.38 fof(f13,plain,(
% 0.13/0.38 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|~c_lessequals(X1,X3,tc_set(X2))|c_in(X0,X3,X2))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/0.38 fof(f14,plain,(
% 0.13/0.38 ![X0,X1,X2]: (c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.38 fof(f15,plain,(
% 0.13/0.38 ![X0,X1,X2]: (~c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.38 fof(f16,plain,(
% 0.13/0.38 ![X0,X1,X2]: (c_lessequals(c_Union(X0,X1),X2,tc_set(X1))|c_in(c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(X0,X1),X2,X1),X0,X1),X0,tc_set(X1)))),
% 0.13/0.38 inference(resolution,[status(thm)],[f14,f10])).
% 0.13/0.38 fof(f27,plain,(
% 0.13/0.38 ![X0]: (c_lessequals(c_Union(v_Y,tc_set(t_a)),X0,tc_set(tc_set(t_a)))|c_lessequals(c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),X0,tc_set(t_a)),v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))))),
% 0.13/0.38 inference(resolution,[status(thm)],[f16,f9])).
% 0.13/0.38 fof(f28,plain,(
% 0.13/0.38 ![X0,X1]: (c_lessequals(c_Union(v_Y,tc_set(t_a)),X0,tc_set(tc_set(t_a)))|~c_in(X1,c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),X0,tc_set(t_a)),v_Y,tc_set(t_a)),tc_set(t_a))|c_in(X1,v_m,tc_set(t_a)))),
% 0.13/0.38 inference(resolution,[status(thm)],[f27,f13])).
% 0.13/0.38 fof(f33,plain,(
% 0.13/0.38 ![X0]: (c_lessequals(c_Union(v_Y,tc_set(t_a)),X0,tc_set(tc_set(t_a)))|c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),X0,tc_set(t_a)),v_m,tc_set(t_a))|~c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),X0,tc_set(t_a)),c_Union(v_Y,tc_set(t_a)),tc_set(t_a)))),
% 0.13/0.38 inference(resolution,[status(thm)],[f28,f11])).
% 0.13/0.38 fof(f34,plain,(
% 0.13/0.38 ![X0]: (c_lessequals(c_Union(v_Y,tc_set(t_a)),X0,tc_set(tc_set(t_a)))|c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),X0,tc_set(t_a)),v_m,tc_set(t_a)))),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f33,f14])).
% 0.13/0.38 fof(f35,plain,(
% 0.13/0.38 c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a)))|c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a)))),
% 0.13/0.38 inference(resolution,[status(thm)],[f34,f15])).
% 0.13/0.38 fof(f36,definition,(
% 0.13/0.38 sQ0_spl <=> (c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f37,plain,(
% 0.13/0.38 c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a)))|~sQ0_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f36])).
% 0.13/0.38 fof(f39,plain,(
% 0.13/0.38 sQ0_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f35,f36])).
% 0.13/0.38 fof(f40,plain,(
% 0.13/0.38 $false|~sQ0_spl),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f37,f8])).
% 0.13/0.38 fof(f41,plain,(
% 0.13/0.38 ~sQ0_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f40])).
% 0.13/0.38 fof(f42,plain,(
% 0.13/0.38 $false),
% 0.13/0.38 inference(sat_refutation,[status(thm)],[f39,f41])).
% 0.13/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41 % Elapsed time: 0.048859 seconds
% 0.13/0.41 % CPU time: 0.118843 seconds
% 0.13/0.41 % Total memory used: 16.945 MB
% 0.13/0.41 % Net memory used: 16.482 MB
%------------------------------------------------------------------------------