%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL439-1 : 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 : n018.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 01:10:04 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL439-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n018.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 00:34:29 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 0.12/0.41 % Refutation found
% 0.12/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.41 fof(f10,axiom,(
% 0.12/0.41 (![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)) ) ))),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f186,axiom,(
% 0.12/0.41 (![V_x,V_B,T_a]: (c_in(V_x,c_insert(V_x,V_B,T_a),T_a) ))),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f1368,axiom,(
% 0.12/0.41 (![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)) ) ))),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f1369,axiom,(
% 0.12/0.41 (![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,c_PropLog_Opl_Ofalse,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)) ) ))),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f1370,axiom,(
% 0.12/0.41 (![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)) ) ))),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f1371,negated_conjecture,(
% 0.12/0.41 c_in(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f1372,negated_conjecture,(
% 0.12/0.41 ~ 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)) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f1385,plain,(
% 0.12/0.41 ![X0,X1,X2]: (~c_in(X0,X1,tc_PropLog_Opl(X2))|c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f10])).
% 0.12/0.41 fof(f1628,plain,(
% 0.12/0.41 ![X0,X1,X2]: (c_in(X0,c_insert(X0,X1,X2),X2))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f186])).
% 0.12/0.41 fof(f2861,plain,(
% 0.12/0.41 ![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)))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f1368])).
% 0.12/0.41 fof(f2862,plain,(
% 0.12/0.41 ![V_H,T_a]: ((![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,c_PropLog_Opl_Ofalse,T_a),c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a))))|(![V_q]: c_in(V_q,c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a))))),
% 0.12/0.41 inference(miniscoping,[status(thm)],[f1369])).
% 0.12/0.41 fof(f2863,plain,(
% 0.12/0.41 ![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,c_PropLog_Opl_Ofalse,X2),c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))|c_in(X3,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f2862])).
% 0.12/0.41 fof(f2864,plain,(
% 0.12/0.41 ![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))))),
% 0.12/0.41 inference(miniscoping,[status(thm)],[f1370])).
% 0.12/0.41 fof(f2865,plain,(
% 0.12/0.41 ![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)))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f2864])).
% 0.12/0.41 fof(f2866,plain,(
% 0.12/0.41 c_in(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f1371])).
% 0.12/0.41 fof(f2867,plain,(
% 0.12/0.41 ~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))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f1372])).
% 0.12/0.41 fof(f2880,plain,(
% 0.12/0.41 ![X0,X1,X2,X3,X4]: (~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(X0,c_PropLog_Opl_Ofalse,X3),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,X4,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)))),
% 0.12/0.41 inference(resolution,[status(thm)],[f2863,f2861])).
% 0.12/0.41 fof(f2892,plain,(
% 0.12/0.41 ![X0]: (~c_in(X0,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(X0,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)))),
% 0.12/0.41 inference(resolution,[status(thm)],[f2880,f2867])).
% 0.12/0.41 fof(f2897,plain,(
% 0.12/0.41 ![X0]: (~c_in(X0,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(X0,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)))),
% 0.12/0.41 inference(resolution,[status(thm)],[f2892,f2865])).
% 0.12/0.41 fof(f2900,plain,(
% 0.12/0.41 ~c_in(v_p,c_PropLog_Othms(c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))),
% 0.12/0.41 inference(resolution,[status(thm)],[f2897,f2866])).
% 0.12/0.41 fof(f2907,plain,(
% 0.12/0.41 ~c_in(v_p,c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a))),
% 0.12/0.41 inference(resolution,[status(thm)],[f2900,f1385])).
% 0.12/0.41 fof(f2908,plain,(
% 0.12/0.41 $false),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f2907,f1628])).
% 0.12/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.45 % Elapsed time: 0.092063 seconds
% 0.12/0.45 % CPU time: 0.313506 seconds
% 0.12/0.45 % Total memory used: 154.026 MB
% 0.12/0.45 % Net memory used: 153.544 MB
%------------------------------------------------------------------------------