%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV242-2 : 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 : n018.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 02:50:18 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV242-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n018.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 08:37:59 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.38 % Refutation found
% 0.12/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.38 fof(f1,negated_conjecture,(
% 0.12/0.38 c_lessequals(v_G,c_Message_Oanalz(v_G_H),tc_set(tc_Message_Omsg)) ),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f2,negated_conjecture,(
% 0.12/0.38 c_lessequals(v_H,c_Message_Oanalz(v_H_H),tc_set(tc_Message_Omsg)) ),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f3,negated_conjecture,(
% 0.12/0.38 ( ~ c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))| ~ c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ) ),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f4,axiom,(
% 0.12/0.38 (![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)) ) ))),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f5,axiom,(
% 0.12/0.38 (![V_A,V_B,T_a]: (c_lessequals(V_A,c_union(V_A,V_B,T_a),tc_set(T_a)) ))),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f6,axiom,(
% 0.12/0.38 (![V_B,V_A,T_a]: (c_lessequals(V_B,c_union(V_A,V_B,T_a),tc_set(T_a)) ))),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f7,axiom,(
% 0.12/0.38 (![V_B,V_C,T_a,V_A]: (( ~ c_lessequals(V_B,V_C,tc_set(T_a))| ~ c_lessequals(V_A,V_B,tc_set(T_a))| c_lessequals(V_A,V_C,tc_set(T_a)) ) ))),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f8,plain,(
% 0.12/0.38 c_lessequals(v_G,c_Message_Oanalz(v_G_H),tc_set(tc_Message_Omsg))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.38 fof(f9,plain,(
% 0.12/0.38 c_lessequals(v_H,c_Message_Oanalz(v_H_H),tc_set(tc_Message_Omsg))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.38 fof(f10,plain,(
% 0.12/0.38 ~c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))|~c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.39 fof(f11,plain,(
% 0.12/0.39 ![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)))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.39 fof(f12,plain,(
% 0.12/0.39 ![X0,X1,X2]: (c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2)))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.39 fof(f13,plain,(
% 0.12/0.39 ![X0,X1,X2]: (c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2)))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.39 fof(f14,plain,(
% 0.12/0.39 ![V_C,T_a,V_A]: ((![V_B]: (~c_lessequals(V_B,V_C,tc_set(T_a))|~c_lessequals(V_A,V_B,tc_set(T_a))))|c_lessequals(V_A,V_C,tc_set(T_a)))),
% 0.12/0.39 inference(miniscoping,[status(thm)],[f7])).
% 0.12/0.39 fof(f15,plain,(
% 0.12/0.39 ![X0,X1,X2,X3]: (~c_lessequals(X0,X1,tc_set(X2))|~c_lessequals(X3,X0,tc_set(X2))|c_lessequals(X3,X1,tc_set(X2)))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f14])).
% 0.12/0.39 fof(f16,definition,(
% 0.12/0.39 sQ0_spl <=> (c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f18,plain,(
% 0.12/0.39 ~c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))|sQ0_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f16])).
% 0.12/0.39 fof(f19,definition,(
% 0.12/0.39 sQ1_spl <=> (c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f21,plain,(
% 0.12/0.39 ~c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))|sQ1_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f19])).
% 0.12/0.39 fof(f22,plain,(
% 0.12/0.39 ~sQ0_spl|~sQ1_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f10,f16,f19])).
% 0.12/0.39 fof(f23,plain,(
% 0.12/0.39 ![X0]: (~c_lessequals(X0,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))|~c_lessequals(v_H,X0,tc_set(tc_Message_Omsg))|sQ0_spl)),
% 0.12/0.39 inference(resolution,[status(thm)],[f18,f15])).
% 0.12/0.39 fof(f24,plain,(
% 0.12/0.39 ![X0]: (~c_lessequals(v_H,c_Message_Oanalz(X0),tc_set(tc_Message_Omsg))|~c_lessequals(X0,c_union(v_G_H,v_H_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))|sQ0_spl)),
% 0.12/0.39 inference(resolution,[status(thm)],[f23,f11])).
% 0.12/0.39 fof(f26,plain,(
% 0.12/0.39 ~c_lessequals(v_H_H,c_union(v_G_H,v_H_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))|sQ0_spl),
% 0.12/0.39 inference(resolution,[status(thm)],[f24,f9])).
% 0.12/0.39 fof(f28,plain,(
% 0.12/0.39 $false|sQ0_spl),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f26,f13])).
% 0.12/0.39 fof(f29,plain,(
% 0.12/0.39 sQ0_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f28])).
% 0.12/0.39 fof(f30,plain,(
% 0.12/0.39 ![X0]: (~c_lessequals(X0,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))|~c_lessequals(v_G,X0,tc_set(tc_Message_Omsg))|sQ1_spl)),
% 0.12/0.39 inference(resolution,[status(thm)],[f21,f15])).
% 0.12/0.39 fof(f31,plain,(
% 0.12/0.39 ![X0]: (~c_lessequals(v_G,c_Message_Oanalz(X0),tc_set(tc_Message_Omsg))|~c_lessequals(X0,c_union(v_G_H,v_H_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))|sQ1_spl)),
% 0.12/0.39 inference(resolution,[status(thm)],[f30,f11])).
% 0.12/0.39 fof(f35,plain,(
% 0.12/0.39 ~c_lessequals(v_G_H,c_union(v_G_H,v_H_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))|sQ1_spl),
% 0.12/0.39 inference(resolution,[status(thm)],[f31,f8])).
% 0.12/0.39 fof(f37,plain,(
% 0.12/0.39 $false|sQ1_spl),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f35,f12])).
% 0.12/0.39 fof(f38,plain,(
% 0.12/0.39 sQ1_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f37])).
% 0.12/0.39 fof(f39,plain,(
% 0.12/0.39 $false),
% 0.12/0.39 inference(sat_refutation,[status(thm)],[f22,f29,f38])).
% 0.12/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.41 % Elapsed time: 0.050956 seconds
% 0.12/0.41 % CPU time: 0.143516 seconds
% 0.12/0.41 % Total memory used: 55.651 MB
% 0.12/0.41 % Net memory used: 55.158 MB
%------------------------------------------------------------------------------