%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL434-1 : 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 01:10:03 PM UTC 2026
% Result : Unsatisfiable 0.23s 5.57s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL434-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/5.46 % Computer : n002.cluster.edu
% 0.17/5.46 % Model : x86_64 x86_64
% 0.17/5.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/5.46 % Memory : 8046.5625MB
% 0.17/5.46 % OS : Linux 6.8.0-71-generic
% 0.17/5.46 % CPULimit : 300
% 0.17/5.46 % WCLimit : 300
% 0.17/5.46 % DateTime : Mon Sep 21 00:34:52 UTC 2026
% 0.17/5.46 % CPUTime :
% 0.23/5.54 % Drodi V4.1.1
% 0.23/5.57 % Refutation found
% 0.23/5.57 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.23/5.57 % SZS output start CNFRefutation for theBenchmark
% 0.23/5.57 fof(f3,axiom,(
% 0.23/5.57 (![V_pl1_H,V_pl2_H,T_a]: (c_PropLog_Opl_Ofalse != c_PropLog_Opl_Oop_A_N_62(V_pl1_H,V_pl2_H,T_a) ))),
% 0.23/5.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/5.57 fof(f10,axiom,(
% 0.23/5.57 (![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)) ) ))),
% 0.23/5.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/5.57 fof(f185,axiom,(
% 0.23/5.57 (![V_a,V_B,T_a,V_b]: (( ~ c_in(V_a,V_B,T_a)| c_in(V_a,c_insert(V_b,V_B,T_a),T_a) ) ))),
% 0.23/5.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/5.57 fof(f187,axiom,(
% 0.23/5.57 (![V_a,V_b,V_A,T_a]: (( ~ c_in(V_a,c_insert(V_b,V_A,T_a),T_a)| c_in(V_a,V_A,T_a)| V_a = V_b ) ))),
% 0.23/5.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/5.57 fof(f1372,axiom,(
% 0.23/5.57 (![V_p,T_a,V_H]: (c_in(c_PropLog_Opl_Oop_A_N_62(V_p,V_p,T_a),c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a)) ))),
% 0.23/5.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/5.57 fof(f1373,axiom,(
% 0.23/5.57 (![V_q,V_H,T_a,V_p]: (( ~ c_in(V_q,c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a))| c_in(c_PropLog_Opl_Oop_A_N_62(V_p,V_q,T_a),c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a)) ) ))),
% 0.23/5.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/5.57 fof(f1374,negated_conjecture,(
% 0.23/5.57 c_in(v_pa,c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)) ),
% 0.23/5.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/5.57 fof(f1375,negated_conjecture,(
% 0.23/5.57 ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_pa,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) ),
% 0.23/5.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/5.57 fof(f1378,plain,(
% 0.23/5.57 ![X0,X1,X2]: (~c_PropLog_Opl_Ofalse=c_PropLog_Opl_Oop_A_N_62(X0,X1,X2))),
% 0.23/5.57 inference(cnf_transformation,[status(thm)],[f3])).
% 0.23/5.57 fof(f1388,plain,(
% 0.23/5.57 ![X0,X1,X2]: (~c_in(X0,X1,tc_PropLog_Opl(X2))|c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)))),
% 0.23/5.57 inference(cnf_transformation,[status(thm)],[f10])).
% 0.23/5.57 fof(f1629,plain,(
% 0.23/5.57 ![V_a,V_B,T_a]: (~c_in(V_a,V_B,T_a)|(![V_b]: c_in(V_a,c_insert(V_b,V_B,T_a),T_a)))),
% 0.23/5.57 inference(miniscoping,[status(thm)],[f185])).
% 0.23/5.57 fof(f1630,plain,(
% 0.23/5.57 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|c_in(X0,c_insert(X3,X1,X2),X2))),
% 0.23/5.57 inference(cnf_transformation,[status(thm)],[f1629])).
% 0.23/5.57 fof(f1632,plain,(
% 0.23/5.57 ![V_a,V_b]: ((![V_A,T_a]: (~c_in(V_a,c_insert(V_b,V_A,T_a),T_a)|c_in(V_a,V_A,T_a)))|V_a=V_b)),
% 0.23/5.57 inference(miniscoping,[status(thm)],[f187])).
% 0.23/5.57 fof(f1633,plain,(
% 0.23/5.57 ![X0,X1,X2,X3]: (~c_in(X0,c_insert(X1,X2,X3),X3)|c_in(X0,X2,X3)|X0=X1)),
% 0.23/5.57 inference(cnf_transformation,[status(thm)],[f1632])).
% 0.23/5.57 fof(f2869,plain,(
% 0.23/5.57 ![X0,X1,X2]: (c_in(c_PropLog_Opl_Oop_A_N_62(X0,X0,X1),c_PropLog_Othms(X2,X1),tc_PropLog_Opl(X1)))),
% 0.23/5.57 inference(cnf_transformation,[status(thm)],[f1372])).
% 0.23/5.57 fof(f2870,plain,(
% 0.23/5.57 ![V_q,V_H,T_a]: (~c_in(V_q,c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a))|(![V_p]: c_in(c_PropLog_Opl_Oop_A_N_62(V_p,V_q,T_a),c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a))))),
% 0.23/5.57 inference(miniscoping,[status(thm)],[f1373])).
% 0.23/5.57 fof(f2871,plain,(
% 0.23/5.57 ![X0,X1,X2,X3]: (~c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))|c_in(c_PropLog_Opl_Oop_A_N_62(X3,X0,X2),c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)))),
% 0.23/5.57 inference(cnf_transformation,[status(thm)],[f2870])).
% 0.23/5.57 fof(f2872,plain,(
% 0.23/5.57 c_in(v_pa,c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a))),
% 0.23/5.57 inference(cnf_transformation,[status(thm)],[f1374])).
% 0.23/5.57 fof(f2873,plain,(
% 0.23/5.57 ~c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_pa,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))),
% 0.23/5.57 inference(cnf_transformation,[status(thm)],[f1375])).
% 0.23/5.57 fof(f2882,plain,(
% 0.23/5.57 c_in(v_pa,v_H,tc_PropLog_Opl(t_a))|v_pa=v_p),
% 0.23/5.57 inference(resolution,[status(thm)],[f1633,f2872])).
% 0.23/5.57 fof(f2885,definition,(
% 0.23/5.57 sQ0_spl <=> (c_in(v_pa,v_H,tc_PropLog_Opl(t_a)))),
% 0.23/5.57 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.23/5.57 fof(f2886,plain,(
% 0.23/5.57 c_in(v_pa,v_H,tc_PropLog_Opl(t_a))|~sQ0_spl),
% 0.23/5.57 inference(component_clause,[status(thm)],[f2885])).
% 0.23/5.57 fof(f2888,definition,(
% 0.23/5.57 sQ1_spl <=> (v_pa=v_p)),
% 0.23/5.57 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.23/5.58 fof(f2889,plain,(
% 0.23/5.58 v_pa=v_p|~sQ1_spl),
% 0.23/5.58 inference(component_clause,[status(thm)],[f2888])).
% 0.23/5.58 fof(f2891,plain,(
% 0.23/5.58 sQ0_spl|sQ1_spl),
% 0.23/5.58 inference(split_clause,[status(thm)],[f2882,f2885,f2888])).
% 0.23/5.58 fof(f2894,plain,(
% 0.23/5.58 c_in(v_pa,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))|~sQ0_spl),
% 0.23/5.58 inference(resolution,[status(thm)],[f1388,f2886])).
% 0.23/5.58 fof(f2900,plain,(
% 0.23/5.58 ![X0]: (c_in(v_pa,c_insert(X0,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a))|~sQ0_spl)),
% 0.23/5.58 inference(resolution,[status(thm)],[f2894,f1630])).
% 0.23/5.58 fof(f2904,definition,(
% 0.23/5.58 ![X0]: (sQ2_spl <=> (v_pa=X0))),
% 0.23/5.58 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.23/5.58 fof(f2905,plain,(
% 0.23/5.58 ![X0]: (v_pa=X0|~sQ2_spl)),
% 0.23/5.58 inference(component_clause,[status(thm)],[f2904])).
% 0.23/5.58 fof(f2910,plain,(
% 0.23/5.58 ![X0]: (c_in(v_pa,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))|v_pa=X0|~sQ0_spl)),
% 0.23/5.58 inference(resolution,[status(thm)],[f2900,f1633])).
% 0.23/5.58 fof(f2913,definition,(
% 0.23/5.58 sQ3_spl <=> (c_in(v_pa,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)))),
% 0.23/5.58 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.23/5.58 fof(f2914,plain,(
% 0.23/5.58 c_in(v_pa,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))|~sQ3_spl),
% 0.23/5.58 inference(component_clause,[status(thm)],[f2913])).
% 0.23/5.58 fof(f2916,plain,(
% 0.23/5.58 sQ3_spl|sQ2_spl|~sQ0_spl),
% 0.23/5.58 inference(split_clause,[status(thm)],[f2910,f2913,f2904,f2885])).
% 0.23/5.58 fof(f2917,plain,(
% 0.23/5.58 ![X0,X1]: (X0=X1|~sQ2_spl)),
% 0.23/5.58 inference(paramodulation,[status(thm)],[f2905,f2905])).
% 0.23/5.58 fof(f2927,plain,(
% 0.23/5.58 $false|~sQ2_spl),
% 0.23/5.58 inference(backward_subsumption_resolution,[status(thm)],[f1378,f2917])).
% 0.23/5.58 fof(f2933,plain,(
% 0.23/5.58 ~sQ2_spl),
% 0.23/5.58 inference(contradiction_clause,[status(thm)],[f2927])).
% 0.23/5.58 fof(f2935,plain,(
% 0.23/5.58 ~c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_p,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))|~sQ1_spl),
% 0.23/5.58 inference(backward_demodulation,[status(thm)],[f2889,f2873])).
% 0.23/5.58 fof(f2936,plain,(
% 0.23/5.58 $false|~sQ1_spl),
% 0.23/5.58 inference(forward_subsumption_resolution,[status(thm)],[f2935,f2869])).
% 0.23/5.58 fof(f2937,plain,(
% 0.23/5.58 ~sQ1_spl),
% 0.23/5.58 inference(contradiction_clause,[status(thm)],[f2936])).
% 0.23/5.59 fof(f3018,plain,(
% 0.23/5.59 ![X0]: (c_in(c_PropLog_Opl_Oop_A_N_62(X0,v_pa,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))|~sQ3_spl)),
% 0.23/5.59 inference(resolution,[status(thm)],[f2871,f2914])).
% 0.23/5.59 fof(f3039,plain,(
% 0.23/5.59 $false|~sQ3_spl),
% 0.23/5.59 inference(backward_subsumption_resolution,[status(thm)],[f2873,f3018])).
% 0.23/5.59 fof(f3044,plain,(
% 0.23/5.59 ~sQ3_spl),
% 0.23/5.59 inference(contradiction_clause,[status(thm)],[f3039])).
% 0.23/5.59 fof(f3045,plain,(
% 0.23/5.59 $false),
% 0.23/5.59 inference(sat_refutation,[status(thm)],[f2891,f2916,f2933,f2937,f3044])).
% 0.23/5.59 % SZS output end CNFRefutation for theBenchmark.p
% 0.23/5.65 % Elapsed time: 0.174927 seconds
% 0.23/5.65 % CPU time: 0.235660 seconds
% 0.23/5.65 % Total memory used: 38.173 MB
% 0.23/5.65 % Net memory used: 38.075 MB
%------------------------------------------------------------------------------