%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL443-1 : 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 : n020.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 22.79s 3.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL443-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n020.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 00:33:32 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.13/0.41 % Drodi V4.1.1
% 22.79/3.40 % Refutation found
% 22.79/3.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 22.79/3.40 % SZS output start CNFRefutation for theBenchmark
% 22.79/3.40 fof(f10,axiom,(
% 22.79/3.40 (![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)) ) ))),
% 22.79/3.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.79/3.40 fof(f185,axiom,(
% 22.79/3.40 (![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) ) ))),
% 22.79/3.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.79/3.40 fof(f186,axiom,(
% 22.79/3.40 (![V_x,V_B,T_a]: (c_in(V_x,c_insert(V_x,V_B,T_a),T_a) ))),
% 22.79/3.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.79/3.40 fof(f187,axiom,(
% 22.79/3.40 (![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 ) ))),
% 22.79/3.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.79/3.40 fof(f196,axiom,(
% 22.79/3.40 (![V_a,T_a,T_b,V_b]: (c_Sum__Type_OInl(V_a,T_a,T_b) != c_Sum__Type_OInr(V_b,T_b,T_a) ))),
% 22.79/3.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.79/3.40 fof(f1368,axiom,(
% 22.79/3.40 (![V_q,V_p,V_H,T_a]: (( ~ c_in(V_q,c_PropLog_Othms(c_insert(V_p,V_H,tc_PropLog_Opl(T_a)),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)) ) ))),
% 22.79/3.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.79/3.40 fof(f1369,axiom,(
% 22.79/3.40 (![V_p,V_H,T_a,V_q]: (( ~ c_in(V_p,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))| c_in(V_q,c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a)) ) ))),
% 22.79/3.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.79/3.40 fof(f1370,axiom,(
% 22.79/3.40 (![V_p,V_G,T_a,V_a]: (( ~ c_in(V_p,c_PropLog_Othms(V_G,T_a),tc_PropLog_Opl(T_a))| c_in(V_p,c_PropLog_Othms(c_insert(V_a,V_G,tc_PropLog_Opl(T_a)),T_a),tc_PropLog_Opl(T_a)) ) ))),
% 22.79/3.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.79/3.40 fof(f1371,negated_conjecture,(
% 22.79/3.40 c_in(v_p,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) ),
% 22.79/3.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.79/3.40 fof(f1372,negated_conjecture,(
% 22.79/3.40 c_in(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) ),
% 22.79/3.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.79/3.40 fof(f1373,negated_conjecture,(
% 22.79/3.40 ~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) ),
% 22.79/3.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.79/3.40 fof(f1386,plain,(
% 22.79/3.40 ![X0,X1,X2]: (~c_in(X0,X1,tc_PropLog_Opl(X2))|c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)))),
% 22.79/3.40 inference(cnf_transformation,[status(thm)],[f10])).
% 22.79/3.40 fof(f1627,plain,(
% 22.79/3.40 ![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)))),
% 22.79/3.40 inference(miniscoping,[status(thm)],[f185])).
% 22.79/3.40 fof(f1628,plain,(
% 22.79/3.40 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|c_in(X0,c_insert(X3,X1,X2),X2))),
% 22.79/3.40 inference(cnf_transformation,[status(thm)],[f1627])).
% 22.79/3.40 fof(f1629,plain,(
% 22.79/3.40 ![X0,X1,X2]: (c_in(X0,c_insert(X0,X1,X2),X2))),
% 22.79/3.40 inference(cnf_transformation,[status(thm)],[f186])).
% 22.79/3.40 fof(f1630,plain,(
% 22.79/3.40 ![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)),
% 22.79/3.40 inference(miniscoping,[status(thm)],[f187])).
% 22.79/3.40 fof(f1631,plain,(
% 22.79/3.40 ![X0,X1,X2,X3]: (~c_in(X0,c_insert(X1,X2,X3),X3)|c_in(X0,X2,X3)|X0=X1)),
% 22.79/3.40 inference(cnf_transformation,[status(thm)],[f1630])).
% 22.79/3.40 fof(f1645,plain,(
% 22.79/3.40 ![X0,X1,X2,X3]: (~c_Sum__Type_OInl(X0,X1,X2)=c_Sum__Type_OInr(X3,X2,X1))),
% 22.79/3.40 inference(cnf_transformation,[status(thm)],[f196])).
% 22.79/3.40 fof(f2862,plain,(
% 22.79/3.40 ![X0,X1,X2,X3]: (~c_in(X0,c_PropLog_Othms(c_insert(X1,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))|c_in(c_PropLog_Opl_Oop_A_N_62(X1,X0,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)))),
% 22.79/3.40 inference(cnf_transformation,[status(thm)],[f1368])).
% 22.79/3.40 fof(f2863,plain,(
% 22.79/3.40 ![V_H,T_a,V_q]: ((![V_p]: (~c_in(V_p,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))))|c_in(V_q,c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a)))),
% 22.79/3.40 inference(miniscoping,[status(thm)],[f1369])).
% 22.79/3.41 fof(f2864,plain,(
% 22.79/3.41 ![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(X0,X3,X2),c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))|c_in(X3,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)))),
% 22.79/3.41 inference(cnf_transformation,[status(thm)],[f2863])).
% 22.79/3.41 fof(f2865,plain,(
% 22.79/3.41 ![V_p,V_G,T_a]: (~c_in(V_p,c_PropLog_Othms(V_G,T_a),tc_PropLog_Opl(T_a))|(![V_a]: c_in(V_p,c_PropLog_Othms(c_insert(V_a,V_G,tc_PropLog_Opl(T_a)),T_a),tc_PropLog_Opl(T_a))))),
% 22.79/3.41 inference(miniscoping,[status(thm)],[f1370])).
% 22.79/3.41 fof(f2866,plain,(
% 22.79/3.41 ![X0,X1,X2,X3]: (~c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))|c_in(X0,c_PropLog_Othms(c_insert(X3,X1,tc_PropLog_Opl(X2)),X2),tc_PropLog_Opl(X2)))),
% 22.79/3.41 inference(cnf_transformation,[status(thm)],[f2865])).
% 22.79/3.41 fof(f2867,plain,(
% 22.79/3.41 c_in(v_p,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))),
% 22.79/3.41 inference(cnf_transformation,[status(thm)],[f1371])).
% 22.79/3.41 fof(f2868,plain,(
% 22.79/3.41 c_in(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))),
% 22.79/3.41 inference(cnf_transformation,[status(thm)],[f1372])).
% 22.79/3.41 fof(f2869,plain,(
% 22.79/3.41 ~c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))),
% 22.79/3.41 inference(cnf_transformation,[status(thm)],[f1373])).
% 22.79/3.41 fof(f2878,plain,(
% 22.79/3.41 ![X0]: (c_in(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(X0,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)))),
% 22.79/3.41 inference(resolution,[status(thm)],[f2866,f2868])).
% 22.79/3.41 fof(f2881,plain,(
% 22.79/3.41 ![X0]: (c_in(v_p,c_PropLog_Othms(c_insert(X0,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)))),
% 22.79/3.41 inference(resolution,[status(thm)],[f2866,f2867])).
% 22.79/3.41 fof(f2895,plain,(
% 22.79/3.41 ![X0]: (~c_in(v_q,c_PropLog_Othms(c_insert(X0,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))|c_in(c_PropLog_Opl_Ofalse,c_PropLog_Othms(c_insert(X0,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)))),
% 22.79/3.41 inference(resolution,[status(thm)],[f2864,f2878])).
% 22.79/3.41 fof(f13335,definition,(
% 22.79/3.41 ![X1]: (sQ99_spl <=> (c_in(v_p,c_PropLog_Othms(c_insert(X1,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))))),
% 22.79/3.41 introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition])).
% 22.79/3.41 fof(f13336,plain,(
% 22.79/3.41 ![X0]: (c_in(v_p,c_PropLog_Othms(c_insert(X0,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))|~sQ99_spl)),
% 22.79/3.41 inference(component_clause,[status(thm)],[f13335])).
% 22.79/3.41 fof(f13806,plain,(
% 22.79/3.41 ![X0,X1]: (c_in(v_p,c_insert(X0,c_PropLog_Othms(c_insert(X1,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)))),
% 22.79/3.41 inference(resolution,[status(thm)],[f1628,f2881])).
% 22.79/3.41 fof(f14228,plain,(
% 22.79/3.41 ![X0,X1,X2]: (c_in(X0,c_PropLog_Othms(c_insert(X0,X1,tc_PropLog_Opl(X2)),X2),tc_PropLog_Opl(X2)))),
% 22.79/3.41 inference(resolution,[status(thm)],[f1629,f1386])).
% 22.79/3.41 fof(f14344,plain,(
% 22.79/3.41 ![X0,X1,X2,X3]: (~c_in(X0,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X0,X1,X2),X3,tc_PropLog_Opl(X2)),X2),tc_PropLog_Opl(X2))|c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X0,X1,X2),X3,tc_PropLog_Opl(X2)),X2),tc_PropLog_Opl(X2)))),
% 22.79/3.41 inference(resolution,[status(thm)],[f14228,f2864])).
% 22.79/3.41 fof(f14582,definition,(
% 22.79/3.41 ![X0]: (sQ100_spl <=> (v_p=X0))),
% 22.79/3.41 introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition])).
% 22.79/3.41 fof(f14583,plain,(
% 22.79/3.41 ![X0]: (v_p=X0|~sQ100_spl)),
% 22.79/3.41 inference(component_clause,[status(thm)],[f14582])).
% 22.79/3.41 fof(f20857,plain,(
% 22.79/3.41 ![X0,X1]: (c_in(v_p,c_PropLog_Othms(c_insert(X0,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))|v_p=X1)),
% 22.79/3.41 inference(resolution,[status(thm)],[f13806,f1631])).
% 22.79/3.41 fof(f20868,plain,(
% 22.79/3.41 sQ99_spl|sQ100_spl),
% 22.79/3.41 inference(split_clause,[status(thm)],[f20857,f13335,f14582])).
% 22.79/3.41 fof(f21364,plain,(
% 22.79/3.41 ![X0,X1]: (X0=X1|~sQ100_spl)),
% 22.79/3.41 inference(paramodulation,[status(thm)],[f14583,f14583])).
% 22.79/3.41 fof(f21508,plain,(
% 22.79/3.41 $false|~sQ100_spl),
% 22.79/3.41 inference(backward_subsumption_resolution,[status(thm)],[f1645,f21364])).
% 22.79/3.41 fof(f21524,plain,(
% 22.79/3.41 ~sQ100_spl),
% 22.79/3.41 inference(contradiction_clause,[status(thm)],[f21508])).
% 22.79/3.41 fof(f37853,plain,(
% 22.79/3.41 ![X0]: (c_in(X0,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X0,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))|~sQ99_spl)),
% 22.79/3.45 inference(resolution,[status(thm)],[f14344,f13336])).
% 22.79/3.45 fof(f38132,plain,(
% 22.79/3.45 c_in(c_PropLog_Opl_Ofalse,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))|~sQ99_spl),
% 22.79/3.45 inference(resolution,[status(thm)],[f37853,f2895])).
% 22.79/3.45 fof(f39714,plain,(
% 22.79/3.45 c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))|~sQ99_spl),
% 22.79/3.45 inference(resolution,[status(thm)],[f38132,f2862])).
% 22.79/3.45 fof(f39729,plain,(
% 22.79/3.45 $false|~sQ99_spl),
% 22.79/3.45 inference(forward_subsumption_resolution,[status(thm)],[f39714,f2869])).
% 22.79/3.45 fof(f39730,plain,(
% 22.79/3.45 ~sQ99_spl),
% 22.79/3.45 inference(contradiction_clause,[status(thm)],[f39729])).
% 22.79/3.45 fof(f39731,plain,(
% 22.79/3.45 $false),
% 22.79/3.45 inference(sat_refutation,[status(thm)],[f20868,f21524,f39730])).
% 22.79/3.45 % SZS output end CNFRefutation for theBenchmark.p
% 22.79/3.47 % Elapsed time: 3.092971 seconds
% 22.79/3.47 % CPU time: 24.034225 seconds
% 22.79/3.47 % Total memory used: 475.609 MB
% 22.79/3.47 % Net memory used: 442.089 MB
%------------------------------------------------------------------------------