%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL430-1 : 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 : n008.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 21.84s 3.34s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL430-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n008.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Mon Sep 21 00:32:24 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.53 % Drodi V4.1.1
% 21.84/3.34 % Refutation found
% 21.84/3.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 21.84/3.34 % SZS output start CNFRefutation for theBenchmark
% 21.84/3.34 fof(f1368,axiom,(
% 21.84/3.34 (![V_p,V_A,V_B,T_a,V_C]: (( ~ c_in(V_p,c_PropLog_Othms(c_minus(V_A,V_B,tc_set(tc_PropLog_Opl(T_a))),T_a),tc_PropLog_Opl(T_a))| ~ c_lessequals(V_A,V_C,tc_set(tc_PropLog_Opl(T_a)))| c_in(V_p,c_PropLog_Othms(c_minus(V_C,V_B,tc_set(tc_PropLog_Opl(T_a))),T_a),tc_PropLog_Opl(T_a)) ) ))),
% 21.84/3.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 21.84/3.34 fof(f1371,axiom,(
% 21.84/3.34 (![V_p,V_v,V_t,T_a]: (c_lessequals(c_PropLog_Ohyps(V_p,c_insert(V_v,V_t,T_a),T_a),c_insert(c_PropLog_Opl_Ovar(V_v,T_a),c_minus(c_PropLog_Ohyps(V_p,V_t,T_a),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(V_v,T_a),c_PropLog_Opl_Ofalse,T_a),c_emptyset,tc_PropLog_Opl(T_a)),tc_set(tc_PropLog_Opl(T_a))),tc_PropLog_Opl(T_a)),tc_set(tc_PropLog_Opl(T_a))) ))),
% 21.84/3.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 21.84/3.34 fof(f1372,axiom,(
% 21.84/3.34 (![V_B,V_C,T_a,V_a]: (c_lessequals(c_minus(V_B,V_C,tc_set(T_a)),c_insert(V_a,c_minus(V_B,c_insert(V_a,V_C,T_a),tc_set(T_a)),T_a),tc_set(T_a)) ))),
% 21.84/3.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 21.84/3.34 fof(f1373,axiom,(
% 21.84/3.34 (![V_a,V_B,V_c,T_a,V_D]: (c_lessequals(c_minus(c_insert(V_a,c_minus(V_B,c_insert(V_c,c_emptyset,T_a),tc_set(T_a)),T_a),V_D,tc_set(T_a)),c_insert(V_a,c_minus(V_B,c_insert(V_c,V_D,T_a),tc_set(T_a)),T_a),tc_set(T_a)) ))),
% 21.84/3.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 21.84/3.34 fof(f1375,axiom,(
% 21.84/3.34 (![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(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))| c_in(V_q,c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a)) ) ))),
% 21.84/3.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 21.84/3.34 fof(f1376,axiom,(
% 21.84/3.34 (![V_p,V_G,T_a,V_H]: (( ~ c_in(V_p,c_PropLog_Othms(V_G,T_a),tc_PropLog_Opl(T_a))| ~ c_lessequals(V_G,V_H,tc_set(tc_PropLog_Opl(T_a)))| c_in(V_p,c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a)) ) ))),
% 21.84/3.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 21.84/3.34 fof(f1380,negated_conjecture,(
% 21.84/3.34 (![V_U]: (c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,V_U,t_a),v_F,tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)) ))),
% 21.84/3.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 21.84/3.34 fof(f1382,negated_conjecture,(
% 21.84/3.34 ~ c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,v_t,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_v,t_a),c_PropLog_Opl_Ofalse,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)) ),
% 21.84/3.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 21.84/3.34 fof(f2871,plain,(
% 21.84/3.34 ![V_p,V_B,T_a,V_C]: ((![V_A]: (~c_in(V_p,c_PropLog_Othms(c_minus(V_A,V_B,tc_set(tc_PropLog_Opl(T_a))),T_a),tc_PropLog_Opl(T_a))|~c_lessequals(V_A,V_C,tc_set(tc_PropLog_Opl(T_a)))))|c_in(V_p,c_PropLog_Othms(c_minus(V_C,V_B,tc_set(tc_PropLog_Opl(T_a))),T_a),tc_PropLog_Opl(T_a)))),
% 21.84/3.34 inference(miniscoping,[status(thm)],[f1368])).
% 21.84/3.34 fof(f2872,plain,(
% 21.84/3.34 ![X0,X1,X2,X3,X4]: (~c_in(X0,c_PropLog_Othms(c_minus(X1,X2,tc_set(tc_PropLog_Opl(X3))),X3),tc_PropLog_Opl(X3))|~c_lessequals(X1,X4,tc_set(tc_PropLog_Opl(X3)))|c_in(X0,c_PropLog_Othms(c_minus(X4,X2,tc_set(tc_PropLog_Opl(X3))),X3),tc_PropLog_Opl(X3)))),
% 21.84/3.34 inference(cnf_transformation,[status(thm)],[f2871])).
% 21.84/3.34 fof(f2875,plain,(
% 21.84/3.34 ![X0,X1,X2,X3]: (c_lessequals(c_PropLog_Ohyps(X0,c_insert(X1,X2,X3),X3),c_insert(c_PropLog_Opl_Ovar(X1,X3),c_minus(c_PropLog_Ohyps(X0,X2,X3),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X1,X3),c_PropLog_Opl_Ofalse,X3),c_emptyset,tc_PropLog_Opl(X3)),tc_set(tc_PropLog_Opl(X3))),tc_PropLog_Opl(X3)),tc_set(tc_PropLog_Opl(X3))))),
% 21.84/3.34 inference(cnf_transformation,[status(thm)],[f1371])).
% 21.84/3.34 fof(f2876,plain,(
% 21.84/3.34 ![X0,X1,X2,X3]: (c_lessequals(c_minus(X0,X1,tc_set(X2)),c_insert(X3,c_minus(X0,c_insert(X3,X1,X2),tc_set(X2)),X2),tc_set(X2)))),
% 21.84/3.34 inference(cnf_transformation,[status(thm)],[f1372])).
% 21.84/3.34 fof(f2877,plain,(
% 21.84/3.34 ![X0,X1,X2,X3,X4]: (c_lessequals(c_minus(c_insert(X0,c_minus(X1,c_insert(X2,c_emptyset,X3),tc_set(X3)),X3),X4,tc_set(X3)),c_insert(X0,c_minus(X1,c_insert(X2,X4,X3),tc_set(X3)),X3),tc_set(X3)))),
% 21.84/3.34 inference(cnf_transformation,[status(thm)],[f1373])).
% 21.84/3.34 fof(f2880,plain,(
% 21.84/3.34 ![V_q,V_H,T_a]: ((![V_p]: (~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(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))))|c_in(V_q,c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a)))),
% 21.84/3.34 inference(miniscoping,[status(thm)],[f1375])).
% 21.84/3.34 fof(f2881,plain,(
% 21.84/3.34 ![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(X0,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Ofalse,X3),X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))|c_in(X0,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)))),
% 21.84/3.34 inference(cnf_transformation,[status(thm)],[f2880])).
% 21.84/3.34 fof(f2882,plain,(
% 21.84/3.34 ![V_p,T_a,V_H]: ((![V_G]: (~c_in(V_p,c_PropLog_Othms(V_G,T_a),tc_PropLog_Opl(T_a))|~c_lessequals(V_G,V_H,tc_set(tc_PropLog_Opl(T_a)))))|c_in(V_p,c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a)))),
% 21.84/3.34 inference(miniscoping,[status(thm)],[f1376])).
% 21.84/3.34 fof(f2883,plain,(
% 21.84/3.34 ![X0,X1,X2,X3]: (~c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))|~c_lessequals(X1,X3,tc_set(tc_PropLog_Opl(X2)))|c_in(X0,c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2)))),
% 21.84/3.34 inference(cnf_transformation,[status(thm)],[f2882])).
% 21.84/3.34 fof(f2887,plain,(
% 21.84/3.34 ![X0]: (c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,X0,t_a),v_F,tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)))),
% 21.84/3.34 inference(cnf_transformation,[status(thm)],[f1380])).
% 21.84/3.34 fof(f2889,plain,(
% 21.84/3.34 ~c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,v_t,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_v,t_a),c_PropLog_Opl_Ofalse,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a))),
% 21.84/3.34 inference(cnf_transformation,[status(thm)],[f1382])).
% 21.84/3.34 fof(f3032,plain,(
% 21.84/3.34 ![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(X0,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))|~c_in(X0,c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3))|~c_lessequals(X4,c_insert(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Ofalse,X3),X2,tc_PropLog_Opl(X3)),tc_set(tc_PropLog_Opl(X3))))),
% 21.84/3.34 inference(resolution,[status(thm)],[f2881,f2883])).
% 21.84/3.34 fof(f3147,plain,(
% 21.84/3.34 ![X0,X1,X2,X3,X4]: (~c_in(X0,c_PropLog_Othms(c_insert(X1,c_minus(X2,c_insert(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Ofalse,X3),X4,tc_PropLog_Opl(X3)),tc_set(tc_PropLog_Opl(X3))),tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))|c_in(X0,c_PropLog_Othms(c_minus(X2,c_insert(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Ofalse,X3),X4,tc_PropLog_Opl(X3)),tc_set(tc_PropLog_Opl(X3))),X3),tc_PropLog_Opl(X3))|~c_in(X0,c_PropLog_Othms(c_minus(X2,X4,tc_set(tc_PropLog_Opl(X3))),X3),tc_PropLog_Opl(X3)))),
% 21.84/3.34 inference(resolution,[status(thm)],[f3032,f2876])).
% 21.84/3.34 fof(f4027,plain,(
% 21.84/3.34 ![X0,X1]: (~c_in(v_p,c_PropLog_Othms(c_insert(X0,c_minus(c_PropLog_Ohyps(v_p,X1,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(X0,c_PropLog_Opl_Ofalse,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))|c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,X1,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(X0,c_PropLog_Opl_Ofalse,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)))),
% 21.84/3.34 inference(resolution,[status(thm)],[f3147,f2887])).
% 21.84/3.34 fof(f4046,plain,(
% 21.84/3.34 ![X0,X1,X2]: (c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,X0,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Ofalse,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a))|~c_in(v_p,c_PropLog_Othms(X2,t_a),tc_PropLog_Opl(t_a))|~c_lessequals(X2,c_insert(X1,c_minus(c_PropLog_Ohyps(v_p,X0,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Ofalse,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))))),
% 21.84/3.34 inference(resolution,[status(thm)],[f4027,f2883])).
% 21.84/3.34 fof(f4362,plain,(
% 21.84/3.34 ![X0,X1]: (c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,X0,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Ofalse,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a))|~c_in(v_p,c_PropLog_Othms(c_minus(c_insert(X1,c_minus(c_PropLog_Ohyps(v_p,X0,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Ofalse,t_a),c_emptyset,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),v_F,tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)))),
% 21.84/3.37 inference(resolution,[status(thm)],[f4046,f2877])).
% 21.84/3.37 fof(f5344,plain,(
% 21.84/3.37 ![X0,X1,X2]: (c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,X0,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Ofalse,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a))|~c_in(v_p,c_PropLog_Othms(c_minus(X2,v_F,tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a))|~c_lessequals(X2,c_insert(X1,c_minus(c_PropLog_Ohyps(v_p,X0,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Ofalse,t_a),c_emptyset,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))))),
% 21.84/3.37 inference(resolution,[status(thm)],[f4362,f2872])).
% 21.84/3.37 fof(f8379,plain,(
% 21.84/3.37 ![X0,X1]: (c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,X0,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X1,t_a),c_PropLog_Opl_Ofalse,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a))|~c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,c_insert(X1,X0,t_a),t_a),v_F,tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)))),
% 21.84/3.37 inference(resolution,[status(thm)],[f5344,f2875])).
% 21.84/3.37 fof(f8382,plain,(
% 21.84/3.37 ![X0,X1]: (c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,X0,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X1,t_a),c_PropLog_Opl_Ofalse,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)))),
% 21.84/3.37 inference(forward_subsumption_resolution,[status(thm)],[f8379,f2887])).
% 21.84/3.37 fof(f8584,plain,(
% 21.84/3.37 $false),
% 21.84/3.37 inference(backward_subsumption_resolution,[status(thm)],[f2889,f8382])).
% 21.84/3.37 % SZS output end CNFRefutation for theBenchmark.p
% 3.84/3.41 % Elapsed time: 2.959403 seconds
% 3.84/3.41 % CPU time: 22.352174 seconds
% 3.84/3.41 % Total memory used: 428.669 MB
% 3.84/3.41 % Net memory used: 405.419 MB
%------------------------------------------------------------------------------