TSTP Solution File: LAT268-2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LAT268-2 : 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 12:17:12 EDT 2023
% Result : Unsatisfiable 0.12s 0.35s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LAT268-2 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue May 30 09:25:40 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % Drodi V3.5.1
% 0.12/0.35 % Refutation found
% 0.12/0.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.35 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.35 fof(f1,negated_conjecture,(
% 0.12/0.35 c_lessequals(v_S,v_A,tc_set(t_a)) ),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f2,negated_conjecture,(
% 0.12/0.35 c_in(v_x,v_S,t_a) ),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f3,negated_conjecture,(
% 0.12/0.35 ~ c_in(c_Pair(c_Tarski_Oglb(v_S,v_cl,t_a),v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f4,axiom,(
% 0.12/0.35 v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) ),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f5,axiom,(
% 0.12/0.35 (![V_x,V_S,T_a,V_cl]: (( ~ c_in(V_x,V_S,T_a)| ~ c_in(V_cl,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(T_a,tc_Product__Type_Ounit))| ~ c_in(V_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(T_a,tc_Product__Type_Ounit))| ~ c_lessequals(V_S,c_Tarski_Opotype_Opset(V_cl,T_a,tc_Product__Type_Ounit),tc_set(T_a))| c_in(c_Pair(V_x,c_Tarski_Olub(V_S,V_cl,T_a),T_a,T_a),c_Tarski_Opotype_Oorder(V_cl,T_a,tc_Product__Type_Ounit),tc_prod(T_a,T_a)) ) ))),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f6,axiom,(
% 0.12/0.35 (![V_x,V_y,T_a,V_cl]: (( ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(V_cl,T_a),T_a,tc_Product__Type_Ounit),tc_prod(T_a,T_a))| c_in(c_Pair(V_y,V_x,T_a,T_a),c_Tarski_Opotype_Oorder(V_cl,T_a,tc_Product__Type_Ounit),tc_prod(T_a,T_a)) ) ))),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f7,axiom,(
% 0.12/0.35 c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f8,axiom,(
% 0.12/0.35 c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f9,axiom,(
% 0.12/0.35 (![V_S,V_cl,T_a]: (c_Tarski_Oglb(V_S,V_cl,T_a) = c_Tarski_Olub(V_S,c_Tarski_Odual(V_cl,T_a),T_a) ))),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f10,axiom,(
% 0.12/0.35 (![V_cl,T_a]: (c_Tarski_Opotype_Opset(c_Tarski_Odual(V_cl,T_a),T_a,tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(V_cl,T_a,tc_Product__Type_Ounit) ))),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f11,axiom,(
% 0.12/0.35 v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) ),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f12,plain,(
% 0.12/0.35 c_lessequals(v_S,v_A,tc_set(t_a))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f1])).
% 0.12/0.35 fof(f13,plain,(
% 0.12/0.35 c_in(v_x,v_S,t_a)),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f2])).
% 0.12/0.35 fof(f14,plain,(
% 0.12/0.35 ~c_in(c_Pair(c_Tarski_Oglb(v_S,v_cl,t_a),v_x,t_a,t_a),v_r,tc_prod(t_a,t_a))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f3])).
% 0.12/0.35 fof(f15,plain,(
% 0.12/0.35 v_A=c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit)),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f4])).
% 0.12/0.35 fof(f16,plain,(
% 0.12/0.35 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|~c_in(X3,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit))|~c_in(X3,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit))|~c_lessequals(X1,c_Tarski_Opotype_Opset(X3,X2,tc_Product__Type_Ounit),tc_set(X2))|c_in(c_Pair(X0,c_Tarski_Olub(X1,X3,X2),X2,X2),c_Tarski_Opotype_Oorder(X3,X2,tc_Product__Type_Ounit),tc_prod(X2,X2)))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f5])).
% 0.12/0.35 fof(f17,plain,(
% 0.12/0.35 ![X0,X1,X2,X3]: (~c_in(c_Pair(X0,X1,X2,X2),c_Tarski_Opotype_Oorder(c_Tarski_Odual(X3,X2),X2,tc_Product__Type_Ounit),tc_prod(X2,X2))|c_in(c_Pair(X1,X0,X2,X2),c_Tarski_Opotype_Oorder(X3,X2,tc_Product__Type_Ounit),tc_prod(X2,X2)))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f6])).
% 0.12/0.35 fof(f18,plain,(
% 0.12/0.35 c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f7])).
% 0.12/0.35 fof(f19,plain,(
% 0.12/0.35 c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f8])).
% 0.12/0.35 fof(f20,plain,(
% 0.12/0.35 ![X0,X1,X2]: (c_Tarski_Oglb(X0,X1,X2)=c_Tarski_Olub(X0,c_Tarski_Odual(X1,X2),X2))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f9])).
% 0.12/0.35 fof(f21,plain,(
% 0.12/0.35 ![X0,X1]: (c_Tarski_Opotype_Opset(c_Tarski_Odual(X0,X1),X1,tc_Product__Type_Ounit)=c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f10])).
% 0.12/0.35 fof(f22,plain,(
% 0.12/0.35 v_r=c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f11])).
% 0.12/0.35 fof(f23,plain,(
% 0.12/0.35 spl0_0 <=> ~c_in(X0,X1,t_a)|~c_lessequals(X1,c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_set(t_a))|c_in(c_Pair(X0,c_Tarski_Olub(X1,c_Tarski_Odual(v_cl,t_a),t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f24,plain,(
% 0.12/0.35 ![X0,X1]: (~c_in(X0,X1,t_a)|~c_lessequals(X1,c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_set(t_a))|c_in(c_Pair(X0,c_Tarski_Olub(X1,c_Tarski_Odual(v_cl,t_a),t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))|~spl0_0)),
% 0.12/0.35 inference(component_clause,[status(thm)],[f23])).
% 0.12/0.35 fof(f26,plain,(
% 0.12/0.35 spl0_1 <=> c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f28,plain,(
% 0.12/0.35 ~c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))|spl0_1),
% 0.12/0.35 inference(component_clause,[status(thm)],[f26])).
% 0.12/0.35 fof(f29,plain,(
% 0.12/0.35 ![X0,X1]: (~c_in(X0,X1,t_a)|~c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))|~c_lessequals(X1,c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_set(t_a))|c_in(c_Pair(X0,c_Tarski_Olub(X1,c_Tarski_Odual(v_cl,t_a),t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)))),
% 0.12/0.35 inference(resolution,[status(thm)],[f19,f16])).
% 0.12/0.35 fof(f30,plain,(
% 0.12/0.35 spl0_0|~spl0_1),
% 0.12/0.35 inference(split_clause,[status(thm)],[f29,f23,f26])).
% 0.12/0.35 fof(f31,plain,(
% 0.12/0.35 $false|spl0_1),
% 0.12/0.35 inference(forward_subsumption_resolution,[status(thm)],[f28,f18])).
% 0.12/0.35 fof(f32,plain,(
% 0.12/0.35 spl0_1),
% 0.12/0.35 inference(contradiction_clause,[status(thm)],[f31])).
% 0.12/0.35 fof(f33,plain,(
% 0.12/0.35 ![X0,X1]: (~c_in(X0,X1,t_a)|~c_lessequals(X1,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),tc_set(t_a))|c_in(c_Pair(X0,c_Tarski_Olub(X1,c_Tarski_Odual(v_cl,t_a),t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))|~spl0_0)),
% 0.12/0.35 inference(forward_demodulation,[status(thm)],[f21,f24])).
% 0.12/0.35 fof(f34,plain,(
% 0.12/0.35 ![X0,X1]: (~c_in(X0,X1,t_a)|~c_lessequals(X1,v_A,tc_set(t_a))|c_in(c_Pair(X0,c_Tarski_Olub(X1,c_Tarski_Odual(v_cl,t_a),t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))|~spl0_0)),
% 0.12/0.35 inference(forward_demodulation,[status(thm)],[f15,f33])).
% 0.12/0.35 fof(f35,plain,(
% 0.12/0.35 ![X0,X1]: (~c_in(X0,X1,t_a)|~c_lessequals(X1,v_A,tc_set(t_a))|c_in(c_Pair(X0,c_Tarski_Oglb(X1,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))|~spl0_0)),
% 0.12/0.35 inference(forward_demodulation,[status(thm)],[f20,f34])).
% 0.12/0.35 fof(f36,plain,(
% 0.12/0.35 ![X0,X1]: (~c_in(X0,X1,t_a)|~c_lessequals(X1,v_A,tc_set(t_a))|c_in(c_Pair(c_Tarski_Oglb(X1,v_cl,t_a),X0,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))|~spl0_0)),
% 0.12/0.35 inference(resolution,[status(thm)],[f35,f17])).
% 0.12/0.35 fof(f37,plain,(
% 0.12/0.35 ![X0,X1]: (~c_in(X0,X1,t_a)|~c_lessequals(X1,v_A,tc_set(t_a))|c_in(c_Pair(c_Tarski_Oglb(X1,v_cl,t_a),X0,t_a,t_a),v_r,tc_prod(t_a,t_a))|~spl0_0)),
% 0.12/0.35 inference(forward_demodulation,[status(thm)],[f22,f36])).
% 0.12/0.35 fof(f38,plain,(
% 0.12/0.35 spl0_2 <=> c_in(v_x,v_S,t_a)),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.27/0.61 fof(f40,plain,(
% 0.27/0.61 ~c_in(v_x,v_S,t_a)|spl0_2),
% 0.27/0.61 inference(component_clause,[status(thm)],[f38])).
% 0.27/0.61 fof(f41,plain,(
% 0.27/0.61 spl0_3 <=> c_lessequals(v_S,v_A,tc_set(t_a))),
% 0.27/0.61 introduced(split_symbol_definition)).
% 0.27/0.61 fof(f43,plain,(
% 0.27/0.61 ~c_lessequals(v_S,v_A,tc_set(t_a))|spl0_3),
% 0.27/0.61 inference(component_clause,[status(thm)],[f41])).
% 0.27/0.61 fof(f44,plain,(
% 0.27/0.61 ~c_in(v_x,v_S,t_a)|~c_lessequals(v_S,v_A,tc_set(t_a))|~spl0_0),
% 0.27/0.61 inference(resolution,[status(thm)],[f37,f14])).
% 0.27/0.61 fof(f45,plain,(
% 0.27/0.61 ~spl0_2|~spl0_3|~spl0_0),
% 0.27/0.61 inference(split_clause,[status(thm)],[f44,f38,f41,f23])).
% 0.27/0.61 fof(f46,plain,(
% 0.27/0.61 $false|spl0_2),
% 0.27/0.61 inference(forward_subsumption_resolution,[status(thm)],[f40,f13])).
% 0.27/0.61 fof(f47,plain,(
% 0.27/0.61 spl0_2),
% 0.27/0.61 inference(contradiction_clause,[status(thm)],[f46])).
% 0.27/0.61 fof(f48,plain,(
% 0.27/0.61 $false|spl0_3),
% 0.27/0.61 inference(forward_subsumption_resolution,[status(thm)],[f43,f12])).
% 0.27/0.61 fof(f49,plain,(
% 0.27/0.61 spl0_3),
% 0.27/0.61 inference(contradiction_clause,[status(thm)],[f48])).
% 0.27/0.61 fof(f50,plain,(
% 0.27/0.61 $false),
% 0.27/0.61 inference(sat_refutation,[status(thm)],[f30,f32,f45,f47,f49])).
% 0.27/0.61 % SZS output end CNFRefutation for theBenchmark.p
% 0.27/0.61 % Elapsed time: 0.044272 seconds
% 0.27/0.61 % CPU time: 0.019108 seconds
% 0.27/0.61 % Memory used: 2.302 MB
%------------------------------------------------------------------------------