%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV248-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 02:50:19 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV248-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n016.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 08:40:53 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.39 fof(f1,negated_conjecture,(
% 0.13/0.39 ~ c_lessequals(c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f2,axiom,(
% 0.13/0.39 (![V_X,V_H]: (( ~ c_in(V_X,V_H,tc_Message_Omsg)| c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f3,axiom,(
% 0.13/0.39 (![V_G,V_H]: (( ~ c_lessequals(V_G,V_H,tc_set(tc_Message_Omsg))| c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_set(tc_Message_Omsg)) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f4,axiom,(
% 0.13/0.39 (![V_X,V_H]: (( ~ c_in(V_X,V_H,tc_Message_Omsg)| c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f5,axiom,(
% 0.13/0.39 (![V_c,V_B,T_a,V_A]: (( ~ c_in(V_c,V_B,T_a)| c_in(V_c,c_union(V_A,V_B,T_a),T_a) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f6,axiom,(
% 0.13/0.39 (![V_c,V_A,T_a,V_B]: (( ~ c_in(V_c,V_A,T_a)| c_in(V_c,c_union(V_A,V_B,T_a),T_a) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f7,axiom,(
% 0.13/0.39 (![V_B,V_C,T_a,V_A]: (( ~ c_lessequals(V_B,V_C,tc_set(T_a))| ~ c_lessequals(V_A,V_C,tc_set(T_a))| c_lessequals(c_union(V_A,V_B,T_a),V_C,tc_set(T_a)) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f8,axiom,(
% 0.13/0.39 (![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)) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f9,axiom,(
% 0.13/0.39 (![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)) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f10,plain,(
% 0.13/0.39 ~c_lessequals(c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.39 fof(f11,plain,(
% 0.13/0.39 ![X0,X1]: (~c_in(X0,X1,tc_Message_Omsg)|c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.39 fof(f12,plain,(
% 0.13/0.39 ![X0,X1]: (~c_lessequals(X0,X1,tc_set(tc_Message_Omsg))|c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_set(tc_Message_Omsg)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.39 fof(f13,plain,(
% 0.13/0.39 ![X0,X1]: (~c_in(X0,X1,tc_Message_Omsg)|c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.39 fof(f14,plain,(
% 0.13/0.39 ![V_c,V_B,T_a]: (~c_in(V_c,V_B,T_a)|(![V_A]: c_in(V_c,c_union(V_A,V_B,T_a),T_a)))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f5])).
% 0.13/0.39 fof(f15,plain,(
% 0.13/0.39 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|c_in(X0,c_union(X3,X1,X2),X2))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f14])).
% 0.13/0.39 fof(f16,plain,(
% 0.13/0.39 ![V_c,V_A,T_a]: (~c_in(V_c,V_A,T_a)|(![V_B]: c_in(V_c,c_union(V_A,V_B,T_a),T_a)))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f6])).
% 0.13/0.39 fof(f17,plain,(
% 0.13/0.39 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|c_in(X0,c_union(X1,X3,X2),X2))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/0.39 fof(f18,plain,(
% 0.13/0.39 ![X0,X1,X2,X3]: (~c_lessequals(X0,X1,tc_set(X2))|~c_lessequals(X3,X1,tc_set(X2))|c_lessequals(c_union(X3,X0,X2),X1,tc_set(X2)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.39 fof(f19,plain,(
% 0.13/0.39 ![X0,X1,X2]: (c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.39 fof(f20,plain,(
% 0.13/0.39 ![X0,X1,X2]: (~c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.39 fof(f21,plain,(
% 0.13/0.39 ~c_lessequals(c_Message_Osynth(v_G),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))|~c_lessequals(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))),
% 0.13/0.39 inference(resolution,[status(thm)],[f18,f10])).
% 0.13/0.39 fof(f22,definition,(
% 0.13/0.39 sQ0_spl <=> (c_lessequals(c_Message_Osynth(v_G),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f24,plain,(
% 0.13/0.39 ~c_lessequals(c_Message_Osynth(v_G),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))|sQ0_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f22])).
% 0.13/0.39 fof(f25,definition,(
% 0.13/0.39 sQ1_spl <=> (c_lessequals(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f27,plain,(
% 0.13/0.39 ~c_lessequals(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))|sQ1_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f25])).
% 0.13/0.39 fof(f28,plain,(
% 0.13/0.39 ~sQ0_spl|~sQ1_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f21,f22,f25])).
% 0.13/0.39 fof(f30,plain,(
% 0.13/0.39 ![X0,X1,X2,X3]: (c_lessequals(X0,c_union(X1,X2,X3),tc_set(X3))|~c_in(c_Main_OsubsetI__1(X0,c_union(X1,X2,X3),X3),X1,X3))),
% 0.13/0.39 inference(resolution,[status(thm)],[f20,f17])).
% 0.13/0.39 fof(f31,plain,(
% 0.13/0.39 ![X0,X1,X2,X3]: (c_lessequals(X0,c_union(X1,X2,X3),tc_set(X3))|~c_in(c_Main_OsubsetI__1(X0,c_union(X1,X2,X3),X3),X2,X3))),
% 0.13/0.39 inference(resolution,[status(thm)],[f20,f15])).
% 0.13/0.39 fof(f33,plain,(
% 0.13/0.39 ![X0,X1]: (c_lessequals(X0,c_Message_Oanalz(X1),tc_set(tc_Message_Omsg))|~c_in(c_Main_OsubsetI__1(X0,c_Message_Oanalz(X1),tc_Message_Omsg),X1,tc_Message_Omsg))),
% 0.13/0.39 inference(resolution,[status(thm)],[f20,f11])).
% 0.13/0.39 fof(f38,plain,(
% 0.13/0.39 ![X0,X1,X2]: (c_lessequals(X0,c_union(c_Message_Osynth(X1),X2,tc_Message_Omsg),tc_set(tc_Message_Omsg))|~c_in(c_Main_OsubsetI__1(X0,c_union(c_Message_Osynth(X1),X2,tc_Message_Omsg),tc_Message_Omsg),X1,tc_Message_Omsg))),
% 0.13/0.39 inference(resolution,[status(thm)],[f30,f13])).
% 0.13/0.39 fof(f41,plain,(
% 0.13/0.39 ![X0,X1,X2]: (c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2))|c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2)))),
% 0.13/0.39 inference(resolution,[status(thm)],[f31,f19])).
% 0.13/0.39 fof(f46,plain,(
% 0.13/0.39 ![X0,X1,X2]: (c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2)))),
% 0.13/0.39 inference(duplicate_literals_removal,[status(thm)],[f41])).
% 0.13/0.39 fof(f54,plain,(
% 0.13/0.39 ![X0,X1,X2]: (c_lessequals(X0,c_Message_Oanalz(c_union(X1,X2,tc_Message_Omsg)),tc_set(tc_Message_Omsg))|~c_in(c_Main_OsubsetI__1(X0,c_Message_Oanalz(c_union(X1,X2,tc_Message_Omsg)),tc_Message_Omsg),X1,tc_Message_Omsg))),
% 0.13/0.39 inference(resolution,[status(thm)],[f33,f17])).
% 0.13/0.39 fof(f77,plain,(
% 0.13/0.39 ![X0,X1]: (c_lessequals(X0,c_union(c_Message_Osynth(X0),X1,tc_Message_Omsg),tc_set(tc_Message_Omsg))|c_lessequals(X0,c_union(c_Message_Osynth(X0),X1,tc_Message_Omsg),tc_set(tc_Message_Omsg)))),
% 0.13/0.39 inference(resolution,[status(thm)],[f38,f19])).
% 0.13/0.39 fof(f82,plain,(
% 0.13/0.39 ![X0,X1]: (c_lessequals(X0,c_union(c_Message_Osynth(X0),X1,tc_Message_Omsg),tc_set(tc_Message_Omsg)))),
% 0.13/0.39 inference(duplicate_literals_removal,[status(thm)],[f77])).
% 0.13/0.39 fof(f179,plain,(
% 0.13/0.39 ![X0,X1]: (c_lessequals(X0,c_Message_Oanalz(c_union(X0,X1,tc_Message_Omsg)),tc_set(tc_Message_Omsg))|c_lessequals(X0,c_Message_Oanalz(c_union(X0,X1,tc_Message_Omsg)),tc_set(tc_Message_Omsg)))),
% 0.13/0.39 inference(resolution,[status(thm)],[f54,f19])).
% 0.13/0.39 fof(f184,plain,(
% 0.13/0.39 ![X0,X1]: (c_lessequals(X0,c_Message_Oanalz(c_union(X0,X1,tc_Message_Omsg)),tc_set(tc_Message_Omsg)))),
% 0.13/0.39 inference(duplicate_literals_removal,[status(thm)],[f179])).
% 0.13/0.39 fof(f191,plain,(
% 0.13/0.39 $false|sQ0_spl),
% 0.13/0.39 inference(backward_subsumption_resolution,[status(thm)],[f24,f184])).
% 0.13/0.39 fof(f192,plain,(
% 0.13/0.39 sQ0_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f191])).
% 0.13/0.39 fof(f193,plain,(
% 0.13/0.39 ~c_lessequals(c_union(v_G,v_H,tc_Message_Omsg),c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))|sQ1_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f27,f12])).
% 0.13/0.39 fof(f194,plain,(
% 0.13/0.39 ~c_lessequals(v_H,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))|~c_lessequals(v_G,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))|sQ1_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f193,f18])).
% 0.13/0.39 fof(f195,definition,(
% 0.13/0.39 sQ2_spl <=> (c_lessequals(v_H,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f197,plain,(
% 0.13/0.39 ~c_lessequals(v_H,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))|sQ2_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f195])).
% 0.13/0.39 fof(f198,definition,(
% 0.13/0.39 sQ3_spl <=> (c_lessequals(v_G,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f200,plain,(
% 0.13/0.39 ~c_lessequals(v_G,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))|sQ3_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f198])).
% 0.13/0.39 fof(f201,plain,(
% 0.13/0.39 ~sQ2_spl|~sQ3_spl|sQ1_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f194,f195,f198,f25])).
% 0.13/0.39 fof(f202,plain,(
% 0.13/0.39 $false|sQ2_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f197,f46])).
% 0.13/0.39 fof(f203,plain,(
% 0.13/0.39 sQ2_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f202])).
% 0.13/0.39 fof(f204,plain,(
% 0.13/0.39 $false|sQ3_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f200,f82])).
% 0.13/0.39 fof(f205,plain,(
% 0.13/0.39 sQ3_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f204])).
% 0.13/0.39 fof(f206,plain,(
% 0.13/0.39 $false),
% 0.13/0.39 inference(sat_refutation,[status(thm)],[f28,f192,f201,f203,f205])).
% 0.13/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41 % Elapsed time: 0.048589 seconds
% 0.13/0.41 % CPU time: 0.126076 seconds
% 0.13/0.41 % Total memory used: 17.631 MB
% 0.13/0.41 % Net memory used: 17.215 MB
%------------------------------------------------------------------------------