%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL431-1 : 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 : n005.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 79.79s 15.29s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL431-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n005.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Mon Sep 21 00:31:48 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.38/0.64 % Drodi V4.1.1
% 79.79/15.29 % Refutation found
% 79.79/15.29 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 79.79/15.29 % SZS output start CNFRefutation for theBenchmark
% 79.79/15.29 fof(f1429,axiom,(
% 79.79/15.29 (![V_A,T_a]: (c_minus(V_A,V_A,tc_set(T_a)) = c_emptyset ))),
% 79.79/15.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 79.79/15.29 fof(f2728,axiom,(
% 79.79/15.29 (![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)) ) ))),
% 79.79/15.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 79.79/15.29 fof(f2752,negated_conjecture,(
% 79.79/15.29 c_PropLog_Osat(c_emptyset,v_p,t_a) ),
% 79.79/15.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 79.79/15.29 fof(f2753,negated_conjecture,(
% 79.79/15.29 ~ c_in(v_p,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)) ),
% 79.79/15.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 79.79/15.29 fof(f4708,plain,(
% 79.79/15.29 ![X0,X1]: (c_minus(X0,X0,tc_set(X1))=c_emptyset)),
% 79.79/15.29 inference(cnf_transformation,[status(thm)],[f1429])).
% 79.79/15.29 fof(f6095,plain,(
% 79.79/15.29 ![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))))),
% 79.79/15.29 inference(miniscoping,[status(thm)],[f2728])).
% 79.79/15.29 fof(f6096,plain,(
% 79.79/15.29 ![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)))),
% 79.79/15.29 inference(cnf_transformation,[status(thm)],[f6095])).
% 79.79/15.29 fof(f6127,plain,(
% 79.79/15.29 c_PropLog_Osat(c_emptyset,v_p,t_a)),
% 79.79/15.29 inference(cnf_transformation,[status(thm)],[f2752])).
% 79.79/15.29 fof(f6128,plain,(
% 79.79/15.29 ~c_in(v_p,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a))),
% 79.79/15.29 inference(cnf_transformation,[status(thm)],[f2753])).
% 79.79/15.29 fof(f6131,plain,(
% 79.79/15.29 ![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)))),
% 79.79/15.29 inference(resolution,[status(thm)],[f6096,f6127])).
% 79.79/15.29 fof(f17472,plain,(
% 79.79/15.29 c_in(v_p,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a))),
% 79.79/15.29 inference(paramodulation,[status(thm)],[f4708,f6131])).
% 79.79/15.29 fof(f17857,plain,(
% 79.79/15.29 $false),
% 79.79/15.29 inference(forward_subsumption_resolution,[status(thm)],[f17472,f6128])).
% 79.79/15.29 % SZS output end CNFRefutation for theBenchmark.p
% 24.37/15.37 % Elapsed time: 14.910899 seconds
% 24.37/15.37 % CPU time: 116.073291 seconds
% 24.37/15.37 % Total memory used: 1.060 GB
% 24.37/15.37 % Net memory used: 1.033 GB
%------------------------------------------------------------------------------