%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL433-1 : 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 01:10:03 PM UTC 2026
% Result : Unsatisfiable 46.59s 6.51s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL433-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n020.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Mon Sep 21 00:32:47 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.26/0.51 % Drodi V4.1.1
% 46.59/6.51 % Refutation found
% 46.59/6.51 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 46.59/6.51 % SZS output start CNFRefutation for theBenchmark
% 46.59/6.51 fof(f10,axiom,(
% 46.59/6.51 (![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)) ) ))),
% 46.59/6.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 46.59/6.51 fof(f186,axiom,(
% 46.59/6.51 (![V_x,V_B,T_a]: (c_in(V_x,c_insert(V_x,V_B,T_a),T_a) ))),
% 46.59/6.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 46.59/6.51 fof(f1370,axiom,(
% 46.59/6.51 (![V_p,V_H,T_a,V_q]: (( ~ c_PropLog_Osat(c_insert(V_p,V_H,tc_PropLog_Opl(T_a)),V_q,T_a)| c_PropLog_Osat(V_H,c_PropLog_Opl_Oop_A_N_62(V_p,V_q,T_a),T_a) ) ))),
% 46.59/6.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 46.59/6.51 fof(f1371,axiom,(
% 46.59/6.51 (![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)) ) ))),
% 46.59/6.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 46.59/6.51 fof(f1373,axiom,(
% 46.59/6.51 (![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)) ) ))),
% 46.59/6.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 46.59/6.51 fof(f1376,negated_conjecture,(
% 46.59/6.51 c_PropLog_Osat(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),v_xa,t_a) ),
% 46.59/6.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 46.59/6.51 fof(f1377,negated_conjecture,(
% 46.59/6.51 ~ c_in(v_xa,c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
% 46.59/6.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 46.59/6.51 fof(f1378,negated_conjecture,(
% 46.59/6.51 (![V_U]: (( c_in(V_U,c_PropLog_Othms(v_F,t_a),tc_PropLog_Opl(t_a))| ~ c_PropLog_Osat(v_F,V_U,t_a) ) ))),
% 46.59/6.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 46.59/6.51 fof(f1391,plain,(
% 46.59/6.51 ![X0,X1,X2]: (~c_in(X0,X1,tc_PropLog_Opl(X2))|c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)))),
% 46.59/6.51 inference(cnf_transformation,[status(thm)],[f10])).
% 46.59/6.51 fof(f1634,plain,(
% 46.59/6.51 ![X0,X1,X2]: (c_in(X0,c_insert(X0,X1,X2),X2))),
% 46.59/6.51 inference(cnf_transformation,[status(thm)],[f186])).
% 46.59/6.51 fof(f2869,plain,(
% 46.59/6.51 ![X0,X1,X2,X3]: (~c_PropLog_Osat(c_insert(X0,X1,tc_PropLog_Opl(X2)),X3,X2)|c_PropLog_Osat(X1,c_PropLog_Opl_Oop_A_N_62(X0,X3,X2),X2))),
% 46.59/6.51 inference(cnf_transformation,[status(thm)],[f1370])).
% 46.59/6.51 fof(f2870,plain,(
% 46.59/6.51 ![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)))),
% 46.59/6.51 inference(miniscoping,[status(thm)],[f1371])).
% 46.59/6.51 fof(f2871,plain,(
% 46.59/6.51 ![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)))),
% 46.59/6.51 inference(cnf_transformation,[status(thm)],[f2870])).
% 46.59/6.51 fof(f2874,plain,(
% 46.59/6.51 ![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))))),
% 46.59/6.51 inference(miniscoping,[status(thm)],[f1373])).
% 46.59/6.51 fof(f2875,plain,(
% 46.59/6.51 ![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)))),
% 46.59/6.51 inference(cnf_transformation,[status(thm)],[f2874])).
% 46.59/6.51 fof(f2878,plain,(
% 46.59/6.51 c_PropLog_Osat(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),v_xa,t_a)),
% 46.59/6.51 inference(cnf_transformation,[status(thm)],[f1376])).
% 46.59/6.51 fof(f2879,plain,(
% 46.59/6.51 ~c_in(v_xa,c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))),
% 46.59/6.51 inference(cnf_transformation,[status(thm)],[f1377])).
% 46.59/6.51 fof(f2880,plain,(
% 46.59/6.51 ![X0]: (c_in(X0,c_PropLog_Othms(v_F,t_a),tc_PropLog_Opl(t_a))|~c_PropLog_Osat(v_F,X0,t_a))),
% 46.59/6.51 inference(cnf_transformation,[status(thm)],[f1378])).
% 46.59/6.51 fof(f2888,plain,(
% 46.59/6.51 c_PropLog_Osat(v_F,c_PropLog_Opl_Oop_A_N_62(v_x,v_xa,t_a),t_a)),
% 46.59/6.51 inference(resolution,[status(thm)],[f2869,f2878])).
% 46.59/6.51 fof(f13019,plain,(
% 46.59/6.51 ![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(X4,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,X4,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)))),
% 47.34/6.58 inference(resolution,[status(thm)],[f2871,f2875])).
% 47.34/6.58 fof(f13451,plain,(
% 47.34/6.58 ![X0,X1,X2]: (~c_in(X0,c_PropLog_Othms(c_insert(X1,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))|c_in(X2,c_PropLog_Othms(c_insert(X1,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))|~c_PropLog_Osat(v_F,c_PropLog_Opl_Oop_A_N_62(X0,X2,t_a),t_a))),
% 47.34/6.58 inference(resolution,[status(thm)],[f13019,f2880])).
% 47.34/6.58 fof(f13495,plain,(
% 47.34/6.58 ![X0]: (~c_in(v_x,c_PropLog_Othms(c_insert(X0,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))|c_in(v_xa,c_PropLog_Othms(c_insert(X0,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)))),
% 47.34/6.58 inference(resolution,[status(thm)],[f13451,f2888])).
% 47.34/6.58 fof(f13497,plain,(
% 47.34/6.58 ![X0]: (c_in(v_xa,c_PropLog_Othms(c_insert(X0,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))|~c_in(v_x,c_insert(X0,v_F,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)))),
% 47.34/6.58 inference(resolution,[status(thm)],[f13495,f1391])).
% 47.34/6.58 fof(f13503,plain,(
% 47.34/6.58 c_in(v_xa,c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))),
% 47.34/6.58 inference(resolution,[status(thm)],[f13497,f1634])).
% 47.34/6.58 fof(f13508,plain,(
% 47.34/6.58 $false),
% 47.34/6.58 inference(forward_subsumption_resolution,[status(thm)],[f13503,f2879])).
% 47.34/6.58 % SZS output end CNFRefutation for theBenchmark.p
% 10.98/6.64 % Elapsed time: 6.186555 seconds
% 10.98/6.64 % CPU time: 48.046874 seconds
% 10.98/6.64 % Total memory used: 628.397 MB
% 10.98/6.64 % Net memory used: 589.199 MB
%------------------------------------------------------------------------------