TSTP Solution File: LAT263-2 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LAT263-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.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 : Tue Apr 30 20:25:31 EDT 2024
% Result : Unsatisfiable 0.10s 0.31s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : LAT263-2 : TPTP v8.1.2. Released v3.2.0.
% 0.08/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30 % Computer : n016.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Mon Apr 29 20:33:10 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.10/0.31 % Drodi V3.6.0
% 0.10/0.31 % Refutation found
% 0.10/0.31 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.31 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.31 fof(f1,negated_conjecture,(
% 0.10/0.31 c_lessequals(v_S,v_A,tc_set(t_a)) ),
% 0.10/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.31 fof(f2,negated_conjecture,(
% 0.10/0.31 ~ c_in(c_Tarski_Oglb(v_S,v_cl,t_a),v_A,t_a) ),
% 0.10/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.31 fof(f3,axiom,(
% 0.10/0.31 v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) ),
% 0.10/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.31 fof(f4,axiom,(
% 0.10/0.31 (![V_cl,T_a,V_S]: (( ~ 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_Tarski_Olub(V_S,V_cl,T_a),c_Tarski_Opotype_Opset(V_cl,T_a,tc_Product__Type_Ounit),T_a) ) ))),
% 0.10/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.31 fof(f5,axiom,(
% 0.10/0.31 c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ),
% 0.10/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.31 fof(f6,axiom,(
% 0.10/0.31 c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ),
% 0.10/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.31 fof(f7,axiom,(
% 0.10/0.31 (![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) ))),
% 0.10/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.31 fof(f8,axiom,(
% 0.10/0.31 (![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) ))),
% 0.10/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.31 fof(f9,plain,(
% 0.10/0.31 c_lessequals(v_S,v_A,tc_set(t_a))),
% 0.10/0.31 inference(cnf_transformation,[status(esa)],[f1])).
% 0.10/0.31 fof(f10,plain,(
% 0.10/0.31 ~c_in(c_Tarski_Oglb(v_S,v_cl,t_a),v_A,t_a)),
% 0.10/0.31 inference(cnf_transformation,[status(esa)],[f2])).
% 0.10/0.31 fof(f11,plain,(
% 0.10/0.31 v_A=c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit)),
% 0.10/0.31 inference(cnf_transformation,[status(esa)],[f3])).
% 0.10/0.31 fof(f12,plain,(
% 0.10/0.31 ![X0,X1,X2]: (~c_in(X0,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))|~c_in(X0,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))|~c_lessequals(X2,c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit),tc_set(X1))|c_in(c_Tarski_Olub(X2,X0,X1),c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit),X1))),
% 0.10/0.31 inference(cnf_transformation,[status(esa)],[f4])).
% 0.10/0.31 fof(f13,plain,(
% 0.10/0.31 c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))),
% 0.10/0.31 inference(cnf_transformation,[status(esa)],[f5])).
% 0.10/0.31 fof(f14,plain,(
% 0.10/0.31 c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))),
% 0.10/0.31 inference(cnf_transformation,[status(esa)],[f6])).
% 0.10/0.31 fof(f15,plain,(
% 0.10/0.31 ![X0,X1,X2]: (c_Tarski_Oglb(X0,X1,X2)=c_Tarski_Olub(X0,c_Tarski_Odual(X1,X2),X2))),
% 0.10/0.31 inference(cnf_transformation,[status(esa)],[f7])).
% 0.10/0.31 fof(f16,plain,(
% 0.10/0.31 ![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))),
% 0.10/0.31 inference(cnf_transformation,[status(esa)],[f8])).
% 0.10/0.31 fof(f17,plain,(
% 0.10/0.31 spl0_0 <=> c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))),
% 0.10/0.31 introduced(split_symbol_definition)).
% 0.10/0.31 fof(f19,plain,(
% 0.10/0.31 ~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_0),
% 0.10/0.31 inference(component_clause,[status(thm)],[f17])).
% 0.10/0.31 fof(f20,plain,(
% 0.10/0.31 spl0_1 <=> ~c_lessequals(X0,c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_set(t_a))|c_in(c_Tarski_Olub(X0,c_Tarski_Odual(v_cl,t_a),t_a),c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),t_a)),
% 0.10/0.31 introduced(split_symbol_definition)).
% 0.15/0.31 fof(f21,plain,(
% 0.15/0.31 ![X0]: (~c_lessequals(X0,c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_set(t_a))|c_in(c_Tarski_Olub(X0,c_Tarski_Odual(v_cl,t_a),t_a),c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),t_a)|~spl0_1)),
% 0.15/0.31 inference(component_clause,[status(thm)],[f20])).
% 0.15/0.31 fof(f23,plain,(
% 0.15/0.31 ![X0]: (~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(X0,c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_set(t_a))|c_in(c_Tarski_Olub(X0,c_Tarski_Odual(v_cl,t_a),t_a),c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),t_a))),
% 0.15/0.31 inference(resolution,[status(thm)],[f14,f12])).
% 0.15/0.31 fof(f24,plain,(
% 0.15/0.31 ~spl0_0|spl0_1),
% 0.15/0.31 inference(split_clause,[status(thm)],[f23,f17,f20])).
% 0.15/0.31 fof(f25,plain,(
% 0.15/0.31 $false|spl0_0),
% 0.15/0.31 inference(forward_subsumption_resolution,[status(thm)],[f19,f13])).
% 0.15/0.31 fof(f26,plain,(
% 0.15/0.31 spl0_0),
% 0.15/0.31 inference(contradiction_clause,[status(thm)],[f25])).
% 0.15/0.31 fof(f27,plain,(
% 0.15/0.31 ![X0]: (~c_lessequals(X0,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),tc_set(t_a))|c_in(c_Tarski_Olub(X0,c_Tarski_Odual(v_cl,t_a),t_a),c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),t_a)|~spl0_1)),
% 0.15/0.31 inference(forward_demodulation,[status(thm)],[f16,f21])).
% 0.15/0.31 fof(f28,plain,(
% 0.15/0.31 ![X0]: (~c_lessequals(X0,v_A,tc_set(t_a))|c_in(c_Tarski_Olub(X0,c_Tarski_Odual(v_cl,t_a),t_a),c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),t_a)|~spl0_1)),
% 0.15/0.31 inference(forward_demodulation,[status(thm)],[f11,f27])).
% 0.15/0.31 fof(f29,plain,(
% 0.15/0.31 ![X0]: (~c_lessequals(X0,v_A,tc_set(t_a))|c_in(c_Tarski_Oglb(X0,v_cl,t_a),c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),t_a)|~spl0_1)),
% 0.15/0.31 inference(forward_demodulation,[status(thm)],[f15,f28])).
% 0.15/0.31 fof(f30,plain,(
% 0.15/0.31 ![X0]: (~c_lessequals(X0,v_A,tc_set(t_a))|c_in(c_Tarski_Oglb(X0,v_cl,t_a),c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),t_a)|~spl0_1)),
% 0.15/0.31 inference(forward_demodulation,[status(thm)],[f16,f29])).
% 0.15/0.31 fof(f31,plain,(
% 0.15/0.31 ![X0]: (~c_lessequals(X0,v_A,tc_set(t_a))|c_in(c_Tarski_Oglb(X0,v_cl,t_a),v_A,t_a)|~spl0_1)),
% 0.15/0.31 inference(forward_demodulation,[status(thm)],[f11,f30])).
% 0.15/0.31 fof(f32,plain,(
% 0.15/0.31 ~c_lessequals(v_S,v_A,tc_set(t_a))|~spl0_1),
% 0.15/0.31 inference(resolution,[status(thm)],[f31,f10])).
% 0.15/0.31 fof(f33,plain,(
% 0.15/0.31 $false|~spl0_1),
% 0.15/0.31 inference(forward_subsumption_resolution,[status(thm)],[f32,f9])).
% 0.15/0.31 fof(f34,plain,(
% 0.15/0.31 ~spl0_1),
% 0.15/0.31 inference(contradiction_clause,[status(thm)],[f33])).
% 0.15/0.31 fof(f35,plain,(
% 0.15/0.31 $false),
% 0.15/0.31 inference(sat_refutation,[status(thm)],[f24,f26,f34])).
% 0.15/0.31 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.32 % Elapsed time: 0.013399 seconds
% 0.15/0.32 % CPU time: 0.018945 seconds
% 0.15/0.32 % Total memory used: 8.216 MB
% 0.15/0.32 % Net memory used: 8.045 MB
%------------------------------------------------------------------------------