%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LAT273-1 : 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 : n010.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 01:03:28 PM UTC 2026
% Result : Unsatisfiable 0.23s 0.57s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT273-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n010.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 23:24:55 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.23/0.46 % Drodi V4.1.1
% 0.23/0.57 % Refutation found
% 0.23/0.57 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.23/0.57 % SZS output start CNFRefutation for theBenchmark
% 0.23/0.57 fof(f6,axiom,(
% 0.23/0.57 (![V_x,V_S,T_a,V_r,V_a,V_b]: (( ~ c_in(V_x,V_S,T_a)| ~ c_lessequals(V_S,c_Tarski_Ointerval(V_r,V_a,V_b,T_a),tc_set(T_a))| c_in(c_Pair(V_x,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ))),
% 0.23/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/0.57 fof(f10,axiom,(
% 0.23/0.57 (![V_S,V_L,V_z]: (( ~ c_Tarski_OisLub(V_S,v_cl,V_L,t_a)| ~ c_in(V_z,v_A,t_a)| c_in(c_Pair(V_L,V_z,t_a,t_a),v_r,tc_prod(t_a,t_a))| c_in(v_sko__4mi(V_S,v_r,V_z),V_S,t_a) ) ))),
% 0.23/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/0.57 fof(f11,axiom,(
% 0.23/0.57 (![V_S,V_L,V_z]: (( ~ c_Tarski_OisLub(V_S,v_cl,V_L,t_a)| ~ c_in(V_z,v_A,t_a)| ~ c_in(c_Pair(v_sko__4mi(V_S,v_r,V_z),V_z,t_a,t_a),v_r,tc_prod(t_a,t_a))| c_in(c_Pair(V_L,V_z,t_a,t_a),v_r,tc_prod(t_a,t_a)) ) ))),
% 0.23/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/0.57 fof(f2753,negated_conjecture,(
% 0.23/0.57 c_in(v_b,v_A,t_a) ),
% 0.23/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/0.57 fof(f2754,negated_conjecture,(
% 0.23/0.57 c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)) ),
% 0.23/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/0.57 fof(f2756,negated_conjecture,(
% 0.23/0.57 c_Tarski_OisLub(v_S,v_cl,v_L,t_a) ),
% 0.23/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/0.57 fof(f2758,negated_conjecture,(
% 0.23/0.57 ~ c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
% 0.23/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/0.57 fof(f2769,plain,(
% 0.23/0.57 ![V_x,T_a,V_r,V_b]: ((![V_S]: (~c_in(V_x,V_S,T_a)|(![V_a]: ~c_lessequals(V_S,c_Tarski_Ointerval(V_r,V_a,V_b,T_a),tc_set(T_a)))))|c_in(c_Pair(V_x,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)))),
% 0.23/0.57 inference(miniscoping,[status(thm)],[f6])).
% 0.23/0.57 fof(f2770,plain,(
% 0.23/0.57 ![X0,X1,X2,X3,X4,X5]: (~c_in(X0,X1,X2)|~c_lessequals(X1,c_Tarski_Ointerval(X3,X4,X5,X2),tc_set(X2))|c_in(c_Pair(X0,X5,X2,X2),X3,tc_prod(X2,X2)))),
% 0.23/0.57 inference(cnf_transformation,[status(thm)],[f2769])).
% 0.23/0.57 fof(f2776,plain,(
% 0.23/0.57 ![V_S,V_z]: ((![V_L]: ((~c_Tarski_OisLub(V_S,v_cl,V_L,t_a)|~c_in(V_z,v_A,t_a))|c_in(c_Pair(V_L,V_z,t_a,t_a),v_r,tc_prod(t_a,t_a))))|c_in(v_sko__4mi(V_S,v_r,V_z),V_S,t_a))),
% 0.23/0.57 inference(miniscoping,[status(thm)],[f10])).
% 0.23/0.57 fof(f2777,plain,(
% 0.23/0.57 ![X0,X1,X2]: (~c_Tarski_OisLub(X0,v_cl,X1,t_a)|~c_in(X2,v_A,t_a)|c_in(c_Pair(X1,X2,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mi(X0,v_r,X2),X0,t_a))),
% 0.23/0.57 inference(cnf_transformation,[status(thm)],[f2776])).
% 0.23/0.57 fof(f2778,plain,(
% 0.23/0.57 ![V_L,V_z]: ((![V_S]: ((~c_Tarski_OisLub(V_S,v_cl,V_L,t_a)|~c_in(V_z,v_A,t_a))|~c_in(c_Pair(v_sko__4mi(V_S,v_r,V_z),V_z,t_a,t_a),v_r,tc_prod(t_a,t_a))))|c_in(c_Pair(V_L,V_z,t_a,t_a),v_r,tc_prod(t_a,t_a)))),
% 0.23/0.57 inference(miniscoping,[status(thm)],[f11])).
% 0.23/0.57 fof(f2779,plain,(
% 0.23/0.57 ![X0,X1,X2]: (~c_Tarski_OisLub(X0,v_cl,X1,t_a)|~c_in(X2,v_A,t_a)|~c_in(c_Pair(v_sko__4mi(X0,v_r,X2),X2,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(c_Pair(X1,X2,t_a,t_a),v_r,tc_prod(t_a,t_a)))),
% 0.23/0.57 inference(cnf_transformation,[status(thm)],[f2778])).
% 0.23/0.57 fof(f6138,plain,(
% 0.23/0.57 c_in(v_b,v_A,t_a)),
% 0.23/0.57 inference(cnf_transformation,[status(thm)],[f2753])).
% 0.23/0.57 fof(f6139,plain,(
% 0.23/0.57 c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a))),
% 0.23/0.57 inference(cnf_transformation,[status(thm)],[f2754])).
% 0.23/0.57 fof(f6141,plain,(
% 0.23/0.57 c_Tarski_OisLub(v_S,v_cl,v_L,t_a)),
% 0.23/0.57 inference(cnf_transformation,[status(thm)],[f2756])).
% 0.23/0.57 fof(f6143,plain,(
% 0.23/0.57 ~c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))),
% 0.23/0.57 inference(cnf_transformation,[status(thm)],[f2758])).
% 0.23/0.57 fof(f6154,plain,(
% 0.23/0.57 ![X0]: (~c_in(X0,v_S,t_a)|c_in(c_Pair(X0,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)))),
% 0.23/0.57 inference(resolution,[status(thm)],[f2770,f6139])).
% 0.23/0.57 fof(f6192,plain,(
% 0.23/0.57 ![X0]: (~c_in(X0,v_A,t_a)|c_in(c_Pair(v_L,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mi(v_S,v_r,X0),v_S,t_a))),
% 0.23/0.57 inference(resolution,[status(thm)],[f2777,f6141])).
% 0.23/0.57 fof(f6225,plain,(
% 0.23/0.57 ![X0]: (~c_in(X0,v_A,t_a)|~c_in(c_Pair(v_sko__4mi(v_S,v_r,X0),X0,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(c_Pair(v_L,X0,t_a,t_a),v_r,tc_prod(t_a,t_a)))),
% 0.23/0.57 inference(resolution,[status(thm)],[f2779,f6141])).
% 0.23/0.57 fof(f6452,plain,(
% 0.23/0.57 c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a)),
% 0.23/0.59 inference(resolution,[status(thm)],[f6192,f6138])).
% 0.23/0.59 fof(f6454,plain,(
% 0.23/0.59 c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a)),
% 0.23/0.59 inference(forward_subsumption_resolution,[status(thm)],[f6452,f6143])).
% 0.23/0.59 fof(f6458,plain,(
% 0.23/0.59 c_in(c_Pair(v_sko__4mi(v_S,v_r,v_b),v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))),
% 0.23/0.59 inference(resolution,[status(thm)],[f6454,f6154])).
% 0.23/0.59 fof(f6518,plain,(
% 0.23/0.59 ~c_in(v_b,v_A,t_a)|c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))),
% 0.23/0.59 inference(resolution,[status(thm)],[f6458,f6225])).
% 0.23/0.59 fof(f6525,plain,(
% 0.23/0.59 c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))),
% 0.23/0.59 inference(forward_subsumption_resolution,[status(thm)],[f6518,f6138])).
% 0.23/0.59 fof(f6527,plain,(
% 0.23/0.59 $false),
% 0.23/0.59 inference(forward_subsumption_resolution,[status(thm)],[f6525,f6143])).
% 0.23/0.59 % SZS output end CNFRefutation for theBenchmark.p
% 0.23/0.62 % Elapsed time: 0.256442 seconds
% 0.23/0.62 % CPU time: 0.989438 seconds
% 0.23/0.62 % Total memory used: 227.580 MB
% 0.23/0.62 % Net memory used: 226.398 MB
%------------------------------------------------------------------------------