%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LAT273-2 : 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 : n002.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 0.13s 10.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT273-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/10.37 % Computer : n002.cluster.edu
% 0.11/10.37 % Model : x86_64 x86_64
% 0.11/10.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.37 % Memory : 8046.5625MB
% 0.11/10.37 % OS : Linux 6.8.0-71-generic
% 0.11/10.37 % CPULimit : 300
% 0.11/10.37 % WCLimit : 300
% 0.11/10.37 % DateTime : Sun Sep 20 23:27:27 UTC 2026
% 0.11/10.37 % CPUTime :
% 0.11/10.38 % Drodi V4.1.1
% 0.13/10.40 % Refutation found
% 0.13/10.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/10.40 % SZS output start CNFRefutation for theBenchmark
% 0.13/10.40 fof(f1,axiom,(
% 0.13/10.40 (![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)) ) ))),
% 0.13/10.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.40 fof(f2,axiom,(
% 0.13/10.40 (![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) ) ))),
% 0.13/10.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.40 fof(f3,axiom,(
% 0.13/10.40 (![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)) ) ))),
% 0.13/10.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.40 fof(f4,negated_conjecture,(
% 0.13/10.40 c_in(v_b,v_A,t_a) ),
% 0.13/10.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.40 fof(f5,negated_conjecture,(
% 0.13/10.40 c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)) ),
% 0.13/10.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.40 fof(f6,negated_conjecture,(
% 0.13/10.40 c_Tarski_OisLub(v_S,v_cl,v_L,t_a) ),
% 0.13/10.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.40 fof(f7,negated_conjecture,(
% 0.13/10.40 ~ c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
% 0.13/10.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/10.40 fof(f8,plain,(
% 0.13/10.40 ![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)))),
% 0.13/10.40 inference(miniscoping,[status(thm)],[f1])).
% 0.13/10.40 fof(f9,plain,(
% 0.13/10.40 ![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)))),
% 0.13/10.40 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/10.40 fof(f10,plain,(
% 0.13/10.40 ![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))),
% 0.13/10.40 inference(miniscoping,[status(thm)],[f2])).
% 0.13/10.40 fof(f11,plain,(
% 0.13/10.40 ![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))),
% 0.13/10.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/10.40 fof(f12,plain,(
% 0.13/10.40 ![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)))),
% 0.13/10.40 inference(miniscoping,[status(thm)],[f3])).
% 0.13/10.40 fof(f13,plain,(
% 0.13/10.40 ![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)))),
% 0.13/10.40 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/10.40 fof(f14,plain,(
% 0.13/10.40 c_in(v_b,v_A,t_a)),
% 0.13/10.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/10.40 fof(f15,plain,(
% 0.13/10.40 c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a))),
% 0.13/10.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/10.40 fof(f16,plain,(
% 0.13/10.40 c_Tarski_OisLub(v_S,v_cl,v_L,t_a)),
% 0.13/10.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/10.40 fof(f17,plain,(
% 0.13/10.40 ~c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))),
% 0.13/10.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/10.40 fof(f18,plain,(
% 0.13/10.40 ![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)))),
% 0.13/10.40 inference(resolution,[status(thm)],[f9,f15])).
% 0.13/10.40 fof(f19,plain,(
% 0.13/10.40 ![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))),
% 0.13/10.40 inference(resolution,[status(thm)],[f11,f16])).
% 0.13/10.40 fof(f20,plain,(
% 0.13/10.40 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)),
% 0.13/10.40 inference(resolution,[status(thm)],[f19,f14])).
% 0.13/10.40 fof(f21,definition,(
% 0.13/10.40 sQ0_spl <=> (c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)))),
% 0.13/10.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/10.40 fof(f22,plain,(
% 0.13/10.40 c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))|~sQ0_spl),
% 0.13/10.40 inference(component_clause,[status(thm)],[f21])).
% 0.13/10.40 fof(f24,definition,(
% 0.13/10.40 sQ1_spl <=> (c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a))),
% 0.13/10.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/10.40 fof(f25,plain,(
% 0.13/10.40 c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a)|~sQ1_spl),
% 0.13/10.40 inference(component_clause,[status(thm)],[f24])).
% 0.13/10.40 fof(f27,plain,(
% 0.13/10.40 sQ0_spl|sQ1_spl),
% 0.13/10.40 inference(split_clause,[status(thm)],[f20,f21,f24])).
% 0.13/10.40 fof(f28,plain,(
% 0.13/10.40 $false|~sQ0_spl),
% 0.13/10.40 inference(forward_subsumption_resolution,[status(thm)],[f22,f17])).
% 0.13/10.40 fof(f29,plain,(
% 0.13/10.40 ~sQ0_spl),
% 0.13/10.40 inference(contradiction_clause,[status(thm)],[f28])).
% 0.13/10.40 fof(f30,plain,(
% 0.13/10.40 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))|~sQ1_spl),
% 0.13/10.40 inference(resolution,[status(thm)],[f25,f18])).
% 0.13/10.40 fof(f31,plain,(
% 0.13/10.40 ![X0]: (~c_Tarski_OisLub(v_S,v_cl,X0,t_a)|~c_in(v_b,v_A,t_a)|c_in(c_Pair(X0,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))|~sQ1_spl)),
% 0.13/10.40 inference(resolution,[status(thm)],[f30,f13])).
% 0.13/10.40 fof(f32,definition,(
% 0.13/10.40 ![X0]: (sQ2_spl <=> (~c_Tarski_OisLub(v_S,v_cl,X0,t_a)|c_in(c_Pair(X0,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))))),
% 0.13/10.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/10.40 fof(f33,plain,(
% 0.13/10.40 ![X0]: (~c_Tarski_OisLub(v_S,v_cl,X0,t_a)|c_in(c_Pair(X0,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))|~sQ2_spl)),
% 0.13/10.40 inference(component_clause,[status(thm)],[f32])).
% 0.13/10.40 fof(f35,definition,(
% 0.13/10.40 sQ3_spl <=> (c_in(v_b,v_A,t_a))),
% 0.13/10.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/10.40 fof(f37,plain,(
% 0.13/10.40 ~c_in(v_b,v_A,t_a)|sQ3_spl),
% 0.13/10.40 inference(component_clause,[status(thm)],[f35])).
% 0.13/10.40 fof(f38,plain,(
% 0.13/10.40 sQ2_spl|~sQ3_spl|~sQ1_spl),
% 0.13/10.40 inference(split_clause,[status(thm)],[f31,f32,f35,f24])).
% 0.13/10.40 fof(f39,plain,(
% 0.13/10.40 c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))|~sQ2_spl),
% 0.13/10.40 inference(resolution,[status(thm)],[f33,f16])).
% 0.13/10.40 fof(f40,plain,(
% 0.13/10.40 sQ0_spl|~sQ2_spl),
% 0.13/10.40 inference(split_clause,[status(thm)],[f39,f21,f32])).
% 0.13/10.40 fof(f41,plain,(
% 0.13/10.40 $false|sQ3_spl),
% 0.13/10.40 inference(forward_subsumption_resolution,[status(thm)],[f37,f14])).
% 0.13/10.40 fof(f42,plain,(
% 0.13/10.40 sQ3_spl),
% 0.13/10.40 inference(contradiction_clause,[status(thm)],[f41])).
% 0.13/10.40 fof(f43,plain,(
% 0.13/10.40 $false),
% 0.13/10.40 inference(sat_refutation,[status(thm)],[f27,f29,f38,f40,f42])).
% 0.13/10.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/10.43 % Elapsed time: 0.041416 seconds
% 0.13/10.43 % CPU time: 0.114099 seconds
% 0.13/10.43 % Total memory used: 16.890 MB
% 0.13/10.43 % Net memory used: 16.441 MB
%------------------------------------------------------------------------------