%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL434-2 : 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 : n013.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 0.14s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL434-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n013.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 00:31:37 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.14/0.38 % Drodi V4.1.1
% 0.14/0.38 % Refutation found
% 0.14/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.38 fof(f1,negated_conjecture,(
% 0.14/0.38 c_in(v_pa,c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f2,negated_conjecture,(
% 0.14/0.38 ~ 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)) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f3,axiom,(
% 0.14/0.38 (![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)) ) ))),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f4,axiom,(
% 0.14/0.38 (![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)) ))),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f5,axiom,(
% 0.14/0.38 (![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)) ) ))),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f6,axiom,(
% 0.14/0.38 (![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 ) ))),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f7,plain,(
% 0.14/0.38 c_in(v_pa,c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.38 fof(f8,plain,(
% 0.14/0.38 ~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))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.38 fof(f9,plain,(
% 0.14/0.38 ![X0,X1,X2]: (~c_in(X0,X1,tc_PropLog_Opl(X2))|c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.38 fof(f10,plain,(
% 0.14/0.38 ![X0,X1,X2]: (c_in(c_PropLog_Opl_Oop_A_N_62(X0,X0,X1),c_PropLog_Othms(X2,X1),tc_PropLog_Opl(X1)))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.38 fof(f11,plain,(
% 0.14/0.38 ![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))))),
% 0.14/0.38 inference(miniscoping,[status(thm)],[f5])).
% 0.14/0.38 fof(f12,plain,(
% 0.14/0.38 ![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(X3,X0,X2),c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f11])).
% 0.14/0.38 fof(f13,plain,(
% 0.14/0.38 ![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)),
% 0.14/0.38 inference(miniscoping,[status(thm)],[f6])).
% 0.14/0.38 fof(f14,plain,(
% 0.14/0.38 ![X0,X1,X2,X3]: (~c_in(X0,c_insert(X1,X2,X3),X3)|c_in(X0,X2,X3)|X0=X1)),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.38 fof(f15,plain,(
% 0.14/0.38 c_in(v_pa,v_H,tc_PropLog_Opl(t_a))|v_pa=v_p),
% 0.14/0.38 inference(resolution,[status(thm)],[f14,f7])).
% 0.14/0.38 fof(f17,plain,(
% 0.14/0.38 ~c_in(v_pa,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))),
% 0.14/0.38 inference(resolution,[status(thm)],[f12,f8])).
% 0.14/0.38 fof(f18,plain,(
% 0.14/0.38 ~c_in(v_pa,v_H,tc_PropLog_Opl(t_a))),
% 0.14/0.38 inference(resolution,[status(thm)],[f17,f9])).
% 0.14/0.38 fof(f19,plain,(
% 0.14/0.38 v_pa=v_p),
% 0.14/0.38 inference(backward_subsumption_resolution,[status(thm)],[f15,f18])).
% 0.14/0.38 fof(f22,plain,(
% 0.14/0.38 ~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))),
% 0.14/0.38 inference(backward_demodulation,[status(thm)],[f19,f8])).
% 0.14/0.38 fof(f25,plain,(
% 0.14/0.38 $false),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f22,f10])).
% 0.14/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.40 % Elapsed time: 0.030623 seconds
% 0.14/0.40 % CPU time: 0.068000 seconds
% 0.14/0.40 % Total memory used: 7.519 MB
% 0.14/0.40 % Net memory used: 7.504 MB
%------------------------------------------------------------------------------