%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL441-1 : 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 : n002.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 0.22s 0.73s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL441-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.62 % Computer : n002.cluster.edu
% 0.19/0.62 % Model : x86_64 x86_64
% 0.19/0.62 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.62 % Memory : 8046.5625MB
% 0.19/0.62 % OS : Linux 6.8.0-71-generic
% 0.19/0.63 % CPULimit : 300
% 0.19/0.63 % WCLimit : 300
% 0.19/0.63 % DateTime : Mon Sep 21 00:35:02 UTC 2026
% 0.19/0.63 % CPUTime :
% 0.22/0.71 % Drodi V4.1.1
% 0.22/0.73 % Refutation found
% 0.22/0.73 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.22/0.73 % SZS output start CNFRefutation for theBenchmark
% 0.22/0.73 fof(f10,axiom,(
% 0.22/0.73 (![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)) ) ))),
% 0.22/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.73 fof(f186,axiom,(
% 0.22/0.73 (![V_x,V_B,T_a]: (c_in(V_x,c_insert(V_x,V_B,T_a),T_a) ))),
% 0.22/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.73 fof(f1377,negated_conjecture,(
% 0.22/0.73 ( ~ 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)) ) ),
% 0.22/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.73 fof(f1390,plain,(
% 0.22/0.73 ![X0,X1,X2]: (~c_in(X0,X1,tc_PropLog_Opl(X2))|c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)))),
% 0.22/0.73 inference(cnf_transformation,[status(thm)],[f10])).
% 0.22/0.73 fof(f1633,plain,(
% 0.22/0.73 ![X0,X1,X2]: (c_in(X0,c_insert(X0,X1,X2),X2))),
% 0.22/0.73 inference(cnf_transformation,[status(thm)],[f186])).
% 0.22/0.73 fof(f2879,plain,(
% 0.22/0.73 ~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))),
% 0.22/0.73 inference(cnf_transformation,[status(thm)],[f1377])).
% 0.22/0.73 fof(f2884,definition,(
% 0.22/0.73 sQ1_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)))),
% 0.22/0.73 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.22/0.73 fof(f2886,plain,(
% 0.22/0.73 ~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))|sQ1_spl),
% 0.22/0.73 inference(component_clause,[status(thm)],[f2884])).
% 0.22/0.73 fof(f2888,definition,(
% 0.22/0.73 sQ2_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)))),
% 0.22/0.73 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.22/0.73 fof(f2890,plain,(
% 0.22/0.73 ~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))|sQ2_spl),
% 0.22/0.73 inference(component_clause,[status(thm)],[f2888])).
% 0.22/0.73 fof(f2892,plain,(
% 0.22/0.73 ~sQ1_spl|~sQ2_spl),
% 0.22/0.73 inference(split_clause,[status(thm)],[f2879,f2884,f2888])).
% 0.22/0.73 fof(f2897,plain,(
% 0.22/0.73 ![X0,X1,X2]: (c_in(X0,c_PropLog_Othms(c_insert(X0,X1,tc_PropLog_Opl(X2)),X2),tc_PropLog_Opl(X2)))),
% 0.22/0.73 inference(resolution,[status(thm)],[f1390,f1633])).
% 0.22/0.73 fof(f2914,plain,(
% 0.22/0.73 $false|sQ1_spl),
% 0.22/0.73 inference(backward_subsumption_resolution,[status(thm)],[f2886,f2897])).
% 0.22/0.73 fof(f2915,plain,(
% 0.22/0.73 $false|sQ2_spl),
% 0.22/0.73 inference(backward_subsumption_resolution,[status(thm)],[f2890,f2897])).
% 0.22/0.73 fof(f2918,plain,(
% 0.22/0.73 sQ1_spl),
% 0.22/0.73 inference(contradiction_clause,[status(thm)],[f2914])).
% 0.22/0.73 fof(f2919,plain,(
% 0.22/0.73 sQ2_spl),
% 0.22/0.73 inference(contradiction_clause,[status(thm)],[f2915])).
% 0.22/0.73 fof(f2920,plain,(
% 0.22/0.73 $false),
% 0.22/0.73 inference(sat_refutation,[status(thm)],[f2892,f2918,f2919])).
% 0.22/0.73 % SZS output end CNFRefutation for theBenchmark.p
% 0.22/0.78 % Elapsed time: 0.143721 seconds
% 0.22/0.78 % CPU time: 0.247189 seconds
% 0.22/0.78 % Total memory used: 57.055 MB
% 0.22/0.78 % Net memory used: 56.884 MB
%------------------------------------------------------------------------------