TSTP Solution File: LAT268-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LAT268-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 0.14s 0.48s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : LAT268-1 : TPTP v8.1.2. Released v3.2.0.
% 0.02/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n026.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue May 30 09:40:43 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.14/0.40 % Drodi V3.5.1
% 0.14/0.48 % Refutation found
% 0.14/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.48 fof(f1,axiom,(
% 0.14/0.48 v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) ),
% 0.14/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f2,axiom,(
% 0.14/0.48 (![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)) ) ))),
% 0.14/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f3,axiom,(
% 0.14/0.48 (![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)) ) ))),
% 0.14/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f9,axiom,(
% 0.14/0.48 c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ),
% 0.14/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f10,axiom,(
% 0.14/0.48 c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ),
% 0.14/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f11,axiom,(
% 0.14/0.48 (![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) ))),
% 0.14/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f12,axiom,(
% 0.14/0.48 (![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) ))),
% 0.14/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f13,axiom,(
% 0.14/0.48 v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) ),
% 0.14/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f2750,negated_conjecture,(
% 0.14/0.48 c_lessequals(v_S,v_A,tc_set(t_a)) ),
% 0.14/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f2751,negated_conjecture,(
% 0.14/0.48 c_in(v_x,v_S,t_a) ),
% 0.14/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f2752,negated_conjecture,(
% 0.14/0.48 ~ 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)) ),
% 0.14/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f2753,plain,(
% 0.14/0.48 v_A=c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit)),
% 0.14/0.48 inference(cnf_transformation,[status(esa)],[f1])).
% 0.14/0.48 fof(f2754,plain,(
% 0.14/0.48 ![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)))),
% 0.14/0.48 inference(cnf_transformation,[status(esa)],[f2])).
% 0.14/0.48 fof(f2755,plain,(
% 0.14/0.48 ![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)))),
% 0.14/0.48 inference(cnf_transformation,[status(esa)],[f3])).
% 0.14/0.48 fof(f2761,plain,(
% 0.14/0.48 c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))),
% 0.14/0.48 inference(cnf_transformation,[status(esa)],[f9])).
% 0.14/0.48 fof(f2762,plain,(
% 0.14/0.48 c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))),
% 0.14/0.48 inference(cnf_transformation,[status(esa)],[f10])).
% 0.14/0.48 fof(f2763,plain,(
% 0.14/0.48 ![X0,X1,X2]: (c_Tarski_Oglb(X0,X1,X2)=c_Tarski_Olub(X0,c_Tarski_Odual(X1,X2),X2))),
% 0.14/0.48 inference(cnf_transformation,[status(esa)],[f11])).
% 0.14/0.48 fof(f2764,plain,(
% 0.14/0.48 ![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))),
% 0.14/0.48 inference(cnf_transformation,[status(esa)],[f12])).
% 0.14/0.48 fof(f2765,plain,(
% 0.14/0.48 v_r=c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)),
% 0.14/0.48 inference(cnf_transformation,[status(esa)],[f13])).
% 0.14/0.48 fof(f6119,plain,(
% 0.14/0.48 c_lessequals(v_S,v_A,tc_set(t_a))),
% 0.14/0.48 inference(cnf_transformation,[status(esa)],[f2750])).
% 0.14/0.48 fof(f6120,plain,(
% 0.14/0.48 c_in(v_x,v_S,t_a)),
% 0.14/0.48 inference(cnf_transformation,[status(esa)],[f2751])).
% 0.14/0.48 fof(f6121,plain,(
% 0.14/0.48 ~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))),
% 0.14/0.48 inference(cnf_transformation,[status(esa)],[f2752])).
% 0.14/0.48 fof(f6173,plain,(
% 0.14/0.48 spl0_9 <=> ~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))),
% 0.14/0.48 introduced(split_symbol_definition)).
% 0.14/0.48 fof(f6174,plain,(
% 0.14/0.48 ![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_9)),
% 0.14/0.48 inference(component_clause,[status(thm)],[f6173])).
% 0.14/0.48 fof(f6176,plain,(
% 0.14/0.48 spl0_10 <=> c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))),
% 0.14/0.48 introduced(split_symbol_definition)).
% 0.14/0.48 fof(f6178,plain,(
% 0.14/0.48 ~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_10),
% 0.14/0.48 inference(component_clause,[status(thm)],[f6176])).
% 0.14/0.48 fof(f6179,plain,(
% 0.14/0.48 ![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)))),
% 0.14/0.48 inference(resolution,[status(thm)],[f2762,f2754])).
% 0.14/0.48 fof(f6180,plain,(
% 0.14/0.48 spl0_9|~spl0_10),
% 0.14/0.48 inference(split_clause,[status(thm)],[f6179,f6173,f6176])).
% 0.14/0.48 fof(f6181,plain,(
% 0.14/0.48 $false|spl0_10),
% 0.14/0.48 inference(forward_subsumption_resolution,[status(thm)],[f6178,f2761])).
% 0.14/0.48 fof(f6182,plain,(
% 0.14/0.48 spl0_10),
% 0.14/0.48 inference(contradiction_clause,[status(thm)],[f6181])).
% 0.14/0.48 fof(f6183,plain,(
% 0.14/0.48 ![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_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_9)),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f2763,f6174])).
% 0.14/0.48 fof(f6185,plain,(
% 0.14/0.48 ![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_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_9)),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f2764,f6183])).
% 0.14/0.48 fof(f6186,plain,(
% 0.14/0.48 ![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_9)),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f2753,f6185])).
% 0.14/0.48 fof(f6187,plain,(
% 0.14/0.48 ![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_9)),
% 0.14/0.48 inference(resolution,[status(thm)],[f6186,f2755])).
% 0.14/0.48 fof(f6188,plain,(
% 0.14/0.48 ![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_9)),
% 0.14/0.49 inference(forward_demodulation,[status(thm)],[f2765,f6187])).
% 0.14/0.49 fof(f6189,plain,(
% 0.14/0.49 spl0_11 <=> c_in(v_x,v_S,t_a)),
% 0.14/0.49 introduced(split_symbol_definition)).
% 0.14/0.49 fof(f6191,plain,(
% 0.14/0.49 ~c_in(v_x,v_S,t_a)|spl0_11),
% 0.14/0.49 inference(component_clause,[status(thm)],[f6189])).
% 0.14/0.49 fof(f6192,plain,(
% 0.14/0.49 spl0_12 <=> c_lessequals(v_S,v_A,tc_set(t_a))),
% 0.14/0.49 introduced(split_symbol_definition)).
% 0.14/0.49 fof(f6194,plain,(
% 0.14/0.49 ~c_lessequals(v_S,v_A,tc_set(t_a))|spl0_12),
% 0.14/0.49 inference(component_clause,[status(thm)],[f6192])).
% 0.14/0.49 fof(f6195,plain,(
% 0.14/0.49 ~c_in(v_x,v_S,t_a)|~c_lessequals(v_S,v_A,tc_set(t_a))|~spl0_9),
% 0.14/0.49 inference(resolution,[status(thm)],[f6188,f6121])).
% 0.14/0.49 fof(f6196,plain,(
% 0.14/0.49 ~spl0_11|~spl0_12|~spl0_9),
% 0.14/0.49 inference(split_clause,[status(thm)],[f6195,f6189,f6192,f6173])).
% 0.14/0.49 fof(f6197,plain,(
% 0.14/0.49 $false|spl0_11),
% 0.14/0.49 inference(forward_subsumption_resolution,[status(thm)],[f6191,f6120])).
% 0.14/0.49 fof(f6198,plain,(
% 0.14/0.49 spl0_11),
% 0.14/0.49 inference(contradiction_clause,[status(thm)],[f6197])).
% 0.14/0.49 fof(f6199,plain,(
% 0.14/0.49 $false|spl0_12),
% 0.14/0.49 inference(forward_subsumption_resolution,[status(thm)],[f6194,f6119])).
% 0.14/0.49 fof(f6200,plain,(
% 0.14/0.49 spl0_12),
% 0.14/0.49 inference(contradiction_clause,[status(thm)],[f6199])).
% 0.14/0.49 fof(f6201,plain,(
% 0.14/0.49 $false),
% 0.14/0.49 inference(sat_refutation,[status(thm)],[f6180,f6182,f6196,f6198,f6200])).
% 0.14/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.65/0.73 % Elapsed time: 0.211792 seconds
% 0.65/0.73 % CPU time: 0.417135 seconds
% 0.65/0.73 % Memory used: 75.464 MB
%------------------------------------------------------------------------------