%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL441-2 : 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 : 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 01:10:05 PM UTC 2026
% Result : Unsatisfiable 0.09s 5.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL441-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.37 % Computer : n004.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Mon Sep 21 00:32:25 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.38 % Drodi V4.1.1
% 0.09/5.40 % Refutation found
% 0.09/5.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/5.40 % SZS output start CNFRefutation for theBenchmark
% 0.09/5.40 fof(f1,negated_conjecture,(
% 0.09/5.40 ( ~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Opl_Ofalse,t_a),c_emptyset,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))| ~ c_in(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Othms(c_insert(c_PropLog_Opl_Ovar(v_a,t_a),c_emptyset,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ) ),
% 0.09/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.40 fof(f2,axiom,(
% 0.09/5.40 (![V_p,V_H,T_a]: (( ~ c_in(V_p,V_H,tc_PropLog_Opl(T_a))| c_in(V_p,c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a)) ) ))),
% 0.09/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.40 fof(f3,axiom,(
% 0.09/5.40 (![V_x,V_B,T_a]: (c_in(V_x,c_insert(V_x,V_B,T_a),T_a) ))),
% 0.09/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.40 fof(f4,plain,(
% 0.09/5.40 ~c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Opl_Ofalse,t_a),c_emptyset,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))|~c_in(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Othms(c_insert(c_PropLog_Opl_Ovar(v_a,t_a),c_emptyset,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))),
% 0.09/5.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/5.40 fof(f5,plain,(
% 0.09/5.40 ![X0,X1,X2]: (~c_in(X0,X1,tc_PropLog_Opl(X2))|c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)))),
% 0.09/5.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/5.40 fof(f6,plain,(
% 0.09/5.40 ![X0,X1,X2]: (c_in(X0,c_insert(X0,X1,X2),X2))),
% 0.09/5.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/5.40 fof(f7,definition,(
% 0.09/5.40 sQ0_spl <=> (c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Opl_Ofalse,t_a),c_emptyset,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)))),
% 0.09/5.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/5.40 fof(f9,plain,(
% 0.09/5.40 ~c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Opl_Ofalse,t_a),c_emptyset,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))|sQ0_spl),
% 0.09/5.40 inference(component_clause,[status(thm)],[f7])).
% 0.09/5.40 fof(f10,definition,(
% 0.09/5.40 sQ1_spl <=> (c_in(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Othms(c_insert(c_PropLog_Opl_Ovar(v_a,t_a),c_emptyset,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)))),
% 0.09/5.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.09/5.40 fof(f12,plain,(
% 0.09/5.40 ~c_in(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Othms(c_insert(c_PropLog_Opl_Ovar(v_a,t_a),c_emptyset,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))|sQ1_spl),
% 0.09/5.40 inference(component_clause,[status(thm)],[f10])).
% 0.09/5.40 fof(f13,plain,(
% 0.09/5.40 ~sQ0_spl|~sQ1_spl),
% 0.09/5.40 inference(split_clause,[status(thm)],[f4,f7,f10])).
% 0.09/5.40 fof(f14,plain,(
% 0.09/5.40 ~c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Opl_Ofalse,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Opl_Ofalse,t_a),c_emptyset,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a))|sQ0_spl),
% 0.09/5.40 inference(resolution,[status(thm)],[f9,f5])).
% 0.09/5.40 fof(f15,plain,(
% 0.09/5.40 $false|sQ0_spl),
% 0.09/5.40 inference(forward_subsumption_resolution,[status(thm)],[f14,f6])).
% 0.09/5.40 fof(f16,plain,(
% 0.09/5.40 sQ0_spl),
% 0.09/5.40 inference(contradiction_clause,[status(thm)],[f15])).
% 0.09/5.40 fof(f17,plain,(
% 0.09/5.40 ~c_in(c_PropLog_Opl_Ovar(v_a,t_a),c_insert(c_PropLog_Opl_Ovar(v_a,t_a),c_emptyset,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a))|sQ1_spl),
% 0.09/5.40 inference(resolution,[status(thm)],[f12,f5])).
% 0.09/5.40 fof(f18,plain,(
% 0.09/5.40 $false|sQ1_spl),
% 0.09/5.40 inference(forward_subsumption_resolution,[status(thm)],[f17,f6])).
% 0.09/5.40 fof(f19,plain,(
% 0.09/5.40 sQ1_spl),
% 0.09/5.40 inference(contradiction_clause,[status(thm)],[f18])).
% 0.09/5.40 fof(f20,plain,(
% 0.09/5.40 $false),
% 0.09/5.40 inference(sat_refutation,[status(thm)],[f13,f16,f19])).
% 0.09/5.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/5.42 % Elapsed time: 0.037257 seconds
% 0.13/5.42 % CPU time: 0.101121 seconds
% 0.13/5.42 % Total memory used: 25.986 MB
% 0.13/5.42 % Net memory used: 25.794 MB
%------------------------------------------------------------------------------