%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL445-2 : 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 : n003.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 0.07s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL445-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n003.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Mon Sep 21 00:34:15 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.07/0.35 % Drodi V4.1.1
% 0.07/0.38 % Refutation found
% 0.07/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.07/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.07/0.38 fof(f1,negated_conjecture,(
% 0.07/0.38 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)) ),
% 0.07/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.38 fof(f2,negated_conjecture,(
% 0.07/0.38 c_in(v_q,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
% 0.07/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.38 fof(f3,negated_conjecture,(
% 0.07/0.38 ~ c_in(v_q,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) ),
% 0.07/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.38 fof(f4,axiom,(
% 0.07/0.38 (![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)) ) ))),
% 0.07/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.38 fof(f5,axiom,(
% 0.07/0.38 (![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)) ) ))),
% 0.07/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.38 fof(f6,axiom,(
% 0.07/0.38 (![V_p,V_q,T_a,V_H]: (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_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(V_p,c_PropLog_Opl_Ofalse,T_a),V_q,T_a),V_q,T_a),T_a),c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a)) ))),
% 0.07/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.38 fof(f7,plain,(
% 0.07/0.38 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))),
% 0.07/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.07/0.38 fof(f8,plain,(
% 0.07/0.38 c_in(v_q,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))),
% 0.07/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.07/0.38 fof(f9,plain,(
% 0.07/0.38 ~c_in(v_q,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))),
% 0.07/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.07/0.38 fof(f10,plain,(
% 0.07/0.38 ![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)))),
% 0.07/0.38 inference(cnf_transformation,[status(thm)],[f4])).
% 0.07/0.38 fof(f11,plain,(
% 0.07/0.38 ![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)))),
% 0.07/0.38 inference(miniscoping,[status(thm)],[f5])).
% 0.07/0.38 fof(f12,plain,(
% 0.07/0.38 ![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)))),
% 0.07/0.38 inference(cnf_transformation,[status(thm)],[f11])).
% 0.07/0.38 fof(f13,plain,(
% 0.07/0.38 ![X0,X1,X2,X3]: (c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X0,X1,X2),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X0,c_PropLog_Opl_Ofalse,X2),X1,X2),X1,X2),X2),c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2)))),
% 0.07/0.38 inference(cnf_transformation,[status(thm)],[f6])).
% 0.07/0.38 fof(f14,plain,(
% 0.07/0.38 c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),v_q,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))),
% 0.07/0.38 inference(resolution,[status(thm)],[f10,f8])).
% 0.07/0.38 fof(f15,plain,(
% 0.07/0.38 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))),
% 0.07/0.38 inference(resolution,[status(thm)],[f10,f7])).
% 0.07/0.38 fof(f19,plain,(
% 0.07/0.38 ![X0,X1,X2,X3]: (~c_in(c_PropLog_Opl_Oop_A_N_62(X0,X1,X2),c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2))|c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X0,c_PropLog_Opl_Ofalse,X2),X1,X2),X1,X2),c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2)))),
% 0.07/0.38 inference(resolution,[status(thm)],[f12,f13])).
% 0.07/0.38 fof(f24,plain,(
% 0.07/0.38 ![X0,X1,X2,X3]: (~c_in(c_PropLog_Opl_Oop_A_N_62(X0,X1,X2),c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2))|~c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X0,c_PropLog_Opl_Ofalse,X2),X1,X2),c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2))|c_in(X1,c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2)))),
% 0.12/0.38 inference(resolution,[status(thm)],[f19,f12])).
% 0.12/0.38 fof(f29,plain,(
% 0.12/0.38 ~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))),
% 0.12/0.38 inference(resolution,[status(thm)],[f24,f14])).
% 0.12/0.38 fof(f33,plain,(
% 0.12/0.38 c_in(v_q,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f29,f15])).
% 0.12/0.38 fof(f37,plain,(
% 0.12/0.38 $false),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f33,f9])).
% 0.12/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.42 % Elapsed time: 0.072288 seconds
% 0.12/0.42 % CPU time: 0.204485 seconds
% 0.12/0.42 % Total memory used: 55.953 MB
% 0.12/0.42 % Net memory used: 55.438 MB
%------------------------------------------------------------------------------