TSTP Solution File: LAT273-2 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LAT273-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:17:14 EDT 2023
% Result : Unsatisfiable 0.15s 0.32s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : LAT273-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n019.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 09:26:55 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.15/0.31 % Drodi V3.5.1
% 0.15/0.32 % Refutation found
% 0.15/0.32 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.32 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.32 fof(f1,axiom,(
% 0.15/0.32 (![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)) ) ))),
% 0.15/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f2,axiom,(
% 0.15/0.32 (![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) ) ))),
% 0.15/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f3,axiom,(
% 0.15/0.32 (![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)) ) ))),
% 0.15/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f4,negated_conjecture,(
% 0.15/0.32 c_in(v_b,v_A,t_a) ),
% 0.15/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f5,negated_conjecture,(
% 0.15/0.32 c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)) ),
% 0.15/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f6,negated_conjecture,(
% 0.15/0.32 c_Tarski_OisLub(v_S,v_cl,v_L,t_a) ),
% 0.15/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f7,negated_conjecture,(
% 0.15/0.32 ~ c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
% 0.15/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f8,plain,(
% 0.15/0.32 ![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)))),
% 0.15/0.32 inference(miniscoping,[status(esa)],[f1])).
% 0.15/0.32 fof(f9,plain,(
% 0.15/0.32 ![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)))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f8])).
% 0.15/0.32 fof(f10,plain,(
% 0.15/0.32 ![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))),
% 0.15/0.32 inference(miniscoping,[status(esa)],[f2])).
% 0.15/0.32 fof(f11,plain,(
% 0.15/0.32 ![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))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f10])).
% 0.15/0.32 fof(f12,plain,(
% 0.15/0.32 ![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)))),
% 0.15/0.32 inference(miniscoping,[status(esa)],[f3])).
% 0.15/0.32 fof(f13,plain,(
% 0.15/0.32 ![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)))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f12])).
% 0.15/0.32 fof(f14,plain,(
% 0.15/0.32 c_in(v_b,v_A,t_a)),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f4])).
% 0.15/0.32 fof(f15,plain,(
% 0.15/0.32 c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f5])).
% 0.15/0.32 fof(f16,plain,(
% 0.15/0.32 c_Tarski_OisLub(v_S,v_cl,v_L,t_a)),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f6])).
% 0.15/0.32 fof(f17,plain,(
% 0.15/0.32 ~c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f7])).
% 0.15/0.32 fof(f19,plain,(
% 0.15/0.32 ![X0,X1,X2,X3,X4]: (~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),X3,t_a)|~c_lessequals(X3,c_Tarski_Ointerval(v_r,X4,X2,t_a),tc_set(t_a)))),
% 0.15/0.32 inference(resolution,[status(thm)],[f13,f9])).
% 0.15/0.32 fof(f20,plain,(
% 0.15/0.32 spl0_0 <=> ~c_Tarski_OisLub(X0,v_cl,X1,t_a)|c_in(c_Pair(X1,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_in(v_sko__4mi(X0,v_r,v_b),v_S,t_a)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f21,plain,(
% 0.15/0.32 ![X0,X1]: (~c_Tarski_OisLub(X0,v_cl,X1,t_a)|c_in(c_Pair(X1,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_in(v_sko__4mi(X0,v_r,v_b),v_S,t_a)|~spl0_0)),
% 0.15/0.32 inference(component_clause,[status(thm)],[f20])).
% 0.15/0.32 fof(f23,plain,(
% 0.15/0.32 spl0_1 <=> c_in(v_b,v_A,t_a)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f25,plain,(
% 0.15/0.32 ~c_in(v_b,v_A,t_a)|spl0_1),
% 0.15/0.32 inference(component_clause,[status(thm)],[f23])).
% 0.15/0.32 fof(f26,plain,(
% 0.15/0.32 ![X0,X1]: (~c_Tarski_OisLub(X0,v_cl,X1,t_a)|~c_in(v_b,v_A,t_a)|c_in(c_Pair(X1,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_in(v_sko__4mi(X0,v_r,v_b),v_S,t_a))),
% 0.15/0.32 inference(resolution,[status(thm)],[f19,f15])).
% 0.15/0.32 fof(f27,plain,(
% 0.15/0.32 spl0_0|~spl0_1),
% 0.15/0.32 inference(split_clause,[status(thm)],[f26,f20,f23])).
% 0.15/0.32 fof(f28,plain,(
% 0.15/0.32 $false|spl0_1),
% 0.15/0.32 inference(forward_subsumption_resolution,[status(thm)],[f25,f14])).
% 0.15/0.32 fof(f29,plain,(
% 0.15/0.32 spl0_1),
% 0.15/0.32 inference(contradiction_clause,[status(thm)],[f28])).
% 0.15/0.32 fof(f30,plain,(
% 0.15/0.32 spl0_2 <=> ~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))),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f31,plain,(
% 0.15/0.32 ![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))|~spl0_2)),
% 0.15/0.32 inference(component_clause,[status(thm)],[f30])).
% 0.15/0.32 fof(f33,plain,(
% 0.15/0.32 ![X0,X1]: (~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))|~c_Tarski_OisLub(v_S,v_cl,X1,t_a)|~c_in(v_b,v_A,t_a)|c_in(c_Pair(X1,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))|~spl0_0)),
% 0.15/0.32 inference(resolution,[status(thm)],[f21,f11])).
% 0.15/0.32 fof(f34,plain,(
% 0.15/0.32 spl0_2|~spl0_1|~spl0_0),
% 0.15/0.32 inference(split_clause,[status(thm)],[f33,f30,f23,f20])).
% 0.15/0.32 fof(f35,plain,(
% 0.15/0.32 c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))|~spl0_2),
% 0.15/0.32 inference(resolution,[status(thm)],[f31,f16])).
% 0.15/0.32 fof(f36,plain,(
% 0.15/0.32 $false|~spl0_2),
% 0.15/0.32 inference(forward_subsumption_resolution,[status(thm)],[f35,f17])).
% 0.15/0.32 fof(f37,plain,(
% 0.15/0.32 ~spl0_2),
% 0.15/0.32 inference(contradiction_clause,[status(thm)],[f36])).
% 0.15/0.32 fof(f38,plain,(
% 0.15/0.32 $false),
% 0.15/0.32 inference(sat_refutation,[status(thm)],[f27,f29,f34,f37])).
% 0.15/0.32 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.54 % Elapsed time: 0.010061 seconds
% 0.15/0.54 % CPU time: 0.009545 seconds
% 0.15/0.54 % Memory used: 504.990 KB
%------------------------------------------------------------------------------