%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL431-2 : 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 : n016.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 0.10s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL431-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n016.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 00:36:38 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.40 % Refutation found
% 0.10/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.40 fof(f1,negated_conjecture,(
% 0.10/0.40 c_PropLog_Osat(c_emptyset,v_p,t_a) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f2,negated_conjecture,(
% 0.10/0.40 ~ c_in(v_p,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f3,axiom,(
% 0.10/0.40 (![V_p,T_a,V_U,V_t0]: (( ~ c_PropLog_Osat(c_emptyset,V_p,T_a)| c_in(V_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(V_p,V_U,T_a),c_PropLog_Ohyps(V_p,V_t0,T_a),tc_set(tc_PropLog_Opl(T_a))),T_a),tc_PropLog_Opl(T_a)) ) ))),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f4,axiom,(
% 0.10/0.40 (![V_A,T_a]: (c_minus(V_A,V_A,tc_set(T_a)) = c_emptyset ))),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f5,plain,(
% 0.10/0.40 c_PropLog_Osat(c_emptyset,v_p,t_a)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.40 fof(f6,plain,(
% 0.10/0.40 ~c_in(v_p,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.40 fof(f7,plain,(
% 0.10/0.40 ![V_p,T_a]: (~c_PropLog_Osat(c_emptyset,V_p,T_a)|(![V_U,V_t0]: c_in(V_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(V_p,V_U,T_a),c_PropLog_Ohyps(V_p,V_t0,T_a),tc_set(tc_PropLog_Opl(T_a))),T_a),tc_PropLog_Opl(T_a))))),
% 0.10/0.40 inference(miniscoping,[status(thm)],[f3])).
% 0.10/0.40 fof(f8,plain,(
% 0.10/0.40 ![X0,X1,X2,X3]: (~c_PropLog_Osat(c_emptyset,X0,X1)|c_in(X0,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(X0,X2,X1),c_PropLog_Ohyps(X0,X3,X1),tc_set(tc_PropLog_Opl(X1))),X1),tc_PropLog_Opl(X1)))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.10/0.40 fof(f9,plain,(
% 0.10/0.40 ![X0,X1]: (c_minus(X0,X0,tc_set(X1))=c_emptyset)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.10/0.40 fof(f10,plain,(
% 0.10/0.40 ![X0,X1]: (c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,X0,t_a),c_PropLog_Ohyps(v_p,X1,t_a),tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)))),
% 0.10/0.40 inference(resolution,[status(thm)],[f8,f5])).
% 0.10/0.40 fof(f11,plain,(
% 0.10/0.40 c_in(v_p,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a))),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f9,f10])).
% 0.10/0.40 fof(f12,plain,(
% 0.10/0.40 $false),
% 0.10/0.40 inference(forward_subsumption_resolution,[status(thm)],[f11,f6])).
% 0.10/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.43 % Elapsed time: 0.049875 seconds
% 0.10/0.43 % CPU time: 0.142427 seconds
% 0.10/0.43 % Total memory used: 66.321 MB
% 0.10/0.43 % Net memory used: 65.661 MB
%------------------------------------------------------------------------------