%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV242-1 : 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 : n004.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 02:50:17 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV242-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n004.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Mon Sep 21 08:35:20 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.11/0.37 % Drodi V4.1.1
% 0.11/0.40 % Refutation found
% 0.11/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.40 fof(f1372,axiom,(
% 0.11/0.40 (![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)) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f1387,axiom,(
% 0.11/0.40 (![V_A,V_B,T_a]: (c_lessequals(V_A,c_union(V_A,V_B,T_a),tc_set(T_a)) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f1388,axiom,(
% 0.11/0.40 (![V_B,V_A,T_a]: (c_lessequals(V_B,c_union(V_A,V_B,T_a),tc_set(T_a)) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f1389,axiom,(
% 0.11/0.40 (![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)) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f1390,negated_conjecture,(
% 0.11/0.40 c_lessequals(v_G,c_Message_Oanalz(v_G_H),tc_set(tc_Message_Omsg)) ),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f1391,negated_conjecture,(
% 0.11/0.40 c_lessequals(v_H,c_Message_Oanalz(v_H_H),tc_set(tc_Message_Omsg)) ),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f1392,negated_conjecture,(
% 0.11/0.40 ( ~ 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)) ) ),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f2887,plain,(
% 0.11/0.40 ![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)))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f1372])).
% 0.11/0.40 fof(f2908,plain,(
% 0.11/0.40 ![X0,X1,X2]: (c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2)))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f1387])).
% 0.11/0.40 fof(f2909,plain,(
% 0.11/0.40 ![X0,X1,X2]: (c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2)))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f1388])).
% 0.11/0.40 fof(f2910,plain,(
% 0.11/0.40 ![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)))),
% 0.11/0.40 inference(miniscoping,[status(thm)],[f1389])).
% 0.11/0.40 fof(f2911,plain,(
% 0.11/0.40 ![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)))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f2910])).
% 0.11/0.40 fof(f2912,plain,(
% 0.11/0.40 c_lessequals(v_G,c_Message_Oanalz(v_G_H),tc_set(tc_Message_Omsg))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f1390])).
% 0.11/0.40 fof(f2913,plain,(
% 0.11/0.40 c_lessequals(v_H,c_Message_Oanalz(v_H_H),tc_set(tc_Message_Omsg))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f1391])).
% 0.11/0.40 fof(f2914,plain,(
% 0.11/0.40 ~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))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f1392])).
% 0.11/0.40 fof(f2915,definition,(
% 0.11/0.40 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)))),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f2917,plain,(
% 0.11/0.40 ~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),
% 0.11/0.40 inference(component_clause,[status(thm)],[f2915])).
% 0.11/0.40 fof(f2918,definition,(
% 0.11/0.40 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)))),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f2920,plain,(
% 0.11/0.40 ~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),
% 0.11/0.40 inference(component_clause,[status(thm)],[f2918])).
% 0.11/0.40 fof(f2921,plain,(
% 0.11/0.40 ~sQ0_spl|~sQ1_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f2914,f2915,f2918])).
% 0.11/0.40 fof(f2966,plain,(
% 0.11/0.40 ![X0,X1]: (c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(c_union(X1,X0,tc_Message_Omsg)),tc_set(tc_Message_Omsg)))),
% 0.11/0.40 inference(resolution,[status(thm)],[f2887,f2909])).
% 0.11/0.41 fof(f2967,plain,(
% 0.11/0.41 ![X0,X1]: (c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(c_union(X0,X1,tc_Message_Omsg)),tc_set(tc_Message_Omsg)))),
% 0.11/0.41 inference(resolution,[status(thm)],[f2887,f2908])).
% 0.11/0.41 fof(f3002,plain,(
% 0.11/0.41 ![X0]: (~c_lessequals(c_Message_Oanalz(v_H_H),X0,tc_set(tc_Message_Omsg))|c_lessequals(v_H,X0,tc_set(tc_Message_Omsg)))),
% 0.11/0.41 inference(resolution,[status(thm)],[f2911,f2913])).
% 0.11/0.41 fof(f3003,plain,(
% 0.11/0.41 ![X0]: (~c_lessequals(c_Message_Oanalz(v_G_H),X0,tc_set(tc_Message_Omsg))|c_lessequals(v_G,X0,tc_set(tc_Message_Omsg)))),
% 0.11/0.41 inference(resolution,[status(thm)],[f2911,f2912])).
% 0.11/0.41 fof(f3042,plain,(
% 0.11/0.41 ![X0]: (c_lessequals(v_H,c_Message_Oanalz(c_union(X0,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)))),
% 0.11/0.41 inference(resolution,[status(thm)],[f3002,f2966])).
% 0.11/0.41 fof(f3047,plain,(
% 0.11/0.41 ![X0]: (c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,X0,tc_Message_Omsg)),tc_set(tc_Message_Omsg)))),
% 0.11/0.41 inference(resolution,[status(thm)],[f3003,f2967])).
% 0.11/0.41 fof(f3057,plain,(
% 0.11/0.41 $false|sQ0_spl),
% 0.11/0.41 inference(backward_subsumption_resolution,[status(thm)],[f2917,f3042])).
% 0.11/0.41 fof(f3062,plain,(
% 0.11/0.41 sQ0_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f3057])).
% 0.11/0.41 fof(f3100,plain,(
% 0.11/0.41 $false|sQ1_spl),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f2920,f3047])).
% 0.11/0.41 fof(f3101,plain,(
% 0.11/0.41 sQ1_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f3100])).
% 0.11/0.41 fof(f3102,plain,(
% 0.11/0.41 $false),
% 0.11/0.41 inference(sat_refutation,[status(thm)],[f2921,f3062,f3101])).
% 0.11/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.42 % Elapsed time: 0.074622 seconds
% 0.11/0.42 % CPU time: 0.247584 seconds
% 0.11/0.42 % Total memory used: 125.048 MB
% 0.11/0.42 % Net memory used: 124.738 MB
%------------------------------------------------------------------------------