TSTP Solution File: LAT269-2 by lazyCoP---0.1
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%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : LAT269-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% Computer : n018.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 : 600s
% DateTime : Sun Jul 17 05:38:47 EDT 2022
% Result : Unsatisfiable 0.12s 0.34s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LAT269-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.12/0.33 % Computer : n018.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 : 600
% 0.12/0.33 % DateTime : Thu Jun 30 13:42:46 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % SZS status Unsatisfiable
% 0.12/0.34 % SZS output begin IncompleteProof
% 0.12/0.34 cnf(c0, axiom,
% 0.12/0.34 ~c_in(c_Tarski_Opotype_Opotype__ext(v_intY1,c_Tarski_Oinduced(v_intY1,v_r,t_a),c_Product__Type_OUnity,t_a,tc_Product__Type_Ounit),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))).
% 0.12/0.34 cnf(c1, plain,
% 0.12/0.34 ~c_in(c_Tarski_Opotype_Opotype__ext(v_intY1,c_Tarski_Oinduced(v_intY1,v_r,t_a),c_Product__Type_OUnity,t_a,tc_Product__Type_Ounit),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
% 0.12/0.34 inference(start, [], [c0])).
% 0.12/0.34
% 0.12/0.34 cnf(c2, axiom,
% 0.12/0.34 c_Tarski_Ointerval(v_r,X0,X1,t_a) = c_emptyset | c_in(c_Tarski_Opotype_Opotype__ext(c_Tarski_Ointerval(v_r,X0,X1,t_a),c_Tarski_Oinduced(c_Tarski_Ointerval(v_r,X0,X1,t_a),v_r,t_a),c_Product__Type_OUnity,t_a,tc_Product__Type_Ounit),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) | ~c_in(X0,v_A,t_a) | ~c_in(X1,v_A,t_a)).
% 0.12/0.34 cnf(a0, assumption,
% 0.12/0.34 X2 = c_Tarski_Opotype_Opotype__ext(v_intY1,c_Tarski_Oinduced(v_intY1,v_r,t_a),c_Product__Type_OUnity,t_a,tc_Product__Type_Ounit)).
% 0.12/0.34 cnf(a1, assumption,
% 0.12/0.34 X3 = c_Tarski_OCompleteLattice).
% 0.12/0.34 cnf(a2, assumption,
% 0.12/0.34 X4 = tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)).
% 0.12/0.34 cnf(c3, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(lazy_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 0.12/0.34 cnf(c4, plain,
% 0.12/0.34 c_Tarski_Ointerval(v_r,X0,X1,t_a) = c_emptyset | ~c_in(X0,v_A,t_a) | ~c_in(X1,v_A,t_a),
% 0.12/0.34 inference(lazy_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 0.12/0.34 cnf(c5, plain,
% 0.12/0.34 c_Tarski_Opotype_Opotype__ext(c_Tarski_Ointerval(v_r,X0,X1,t_a),c_Tarski_Oinduced(c_Tarski_Ointerval(v_r,X0,X1,t_a),v_r,t_a),c_Product__Type_OUnity,t_a,tc_Product__Type_Ounit) != X2 | c_Tarski_OCompleteLattice != X3 | tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit) != X4,
% 0.12/0.34 inference(lazy_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 0.12/0.34
% 0.12/0.34 cnf(c6, axiom,
% 0.12/0.34 v_intY1 = c_Tarski_Ointerval(v_r,c_Tarski_Olub(v_Y,v_cl,t_a),c_Tarski_OTop(v_cl,t_a),t_a)).
% 0.12/0.34 cnf(a3, assumption,
% 0.12/0.34 c_Tarski_Ointerval(v_r,X0,X1,t_a) = c_Tarski_Ointerval(v_r,c_Tarski_Olub(v_Y,v_cl,t_a),c_Tarski_OTop(v_cl,t_a),t_a)).
% 0.12/0.34 cnf(c7, plain,
% 0.12/0.34 c_Tarski_OCompleteLattice != X3 | tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit) != X4,
% 0.12/0.34 inference(strict_function_extension, [assumptions([a3])], [c5, c6])).
% 0.12/0.34 cnf(c8, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(strict_function_extension, [assumptions([a3])], [c5, c6])).
% 0.12/0.34 cnf(c9, plain,
% 0.12/0.34 X5 != v_intY1 | c_Tarski_Opotype_Opotype__ext(c_Tarski_Ointerval(v_r,X0,X1,t_a),c_Tarski_Oinduced(X5,v_r,t_a),c_Product__Type_OUnity,t_a,tc_Product__Type_Ounit) != X2,
% 0.12/0.34 inference(strict_function_extension, [assumptions([a3])], [c5, c6])).
% 0.12/0.34
% 0.12/0.34 cnf(a4, assumption,
% 0.12/0.34 X5 = v_intY1).
% 0.12/0.34 cnf(c10, plain,
% 0.12/0.34 c_Tarski_Opotype_Opotype__ext(c_Tarski_Ointerval(v_r,X0,X1,t_a),c_Tarski_Oinduced(X5,v_r,t_a),c_Product__Type_OUnity,t_a,tc_Product__Type_Ounit) != X2,
% 0.12/0.34 inference(reflexivity, [assumptions([a4])], [c9])).
% 0.12/0.34
% 0.12/0.34 cnf(c11, plain,
% 0.12/0.34 v_intY1 = c_Tarski_Ointerval(v_r,c_Tarski_Olub(v_Y,v_cl,t_a),c_Tarski_OTop(v_cl,t_a),t_a)).
% 0.12/0.34 cnf(a5, assumption,
% 0.12/0.34 c_Tarski_Ointerval(v_r,X0,X1,t_a) = c_Tarski_Ointerval(v_r,c_Tarski_Olub(v_Y,v_cl,t_a),c_Tarski_OTop(v_cl,t_a),t_a)).
% 0.12/0.34 cnf(a6, assumption,
% 0.12/0.34 v_intY1 = X6).
% 0.12/0.34 cnf(c12, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(equality_reduction, [assumptions([a5, a6])], [c10, c11])).
% 0.12/0.34 cnf(c13, plain,
% 0.12/0.34 c_Tarski_Opotype_Opotype__ext(X6,c_Tarski_Oinduced(X5,v_r,t_a),c_Product__Type_OUnity,t_a,tc_Product__Type_Ounit) != X2,
% 0.12/0.34 inference(equality_reduction, [assumptions([a5, a6])], [c10, c11])).
% 0.12/0.34
% 0.12/0.34 cnf(a7, assumption,
% 0.12/0.34 c_Tarski_Opotype_Opotype__ext(X6,c_Tarski_Oinduced(X5,v_r,t_a),c_Product__Type_OUnity,t_a,tc_Product__Type_Ounit) = X2).
% 0.12/0.34 cnf(c14, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(reflexivity, [assumptions([a7])], [c13])).
% 0.12/0.34
% 0.12/0.34 cnf(a8, assumption,
% 0.12/0.34 c_Tarski_OCompleteLattice = X3).
% 0.12/0.34 cnf(c15, plain,
% 0.12/0.34 tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit) != X4,
% 0.12/0.34 inference(reflexivity, [assumptions([a8])], [c7])).
% 0.12/0.34
% 0.12/0.34 cnf(a9, assumption,
% 0.12/0.34 tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit) = X4).
% 0.12/0.34 cnf(c16, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(reflexivity, [assumptions([a9])], [c15])).
% 0.12/0.34
% 0.12/0.34 cnf(c17, axiom,
% 0.12/0.34 c_emptyset != c_Tarski_Ointerval(v_r,X7,c_Tarski_OTop(v_cl,t_a),t_a) | ~c_in(X7,v_A,t_a)).
% 0.12/0.34 cnf(a10, assumption,
% 0.12/0.34 c_Tarski_Ointerval(v_r,X7,c_Tarski_OTop(v_cl,t_a),t_a) = c_Tarski_Ointerval(v_r,X0,X1,t_a)).
% 0.12/0.34 cnf(a11, assumption,
% 0.12/0.34 c_emptyset = X8).
% 0.12/0.34 cnf(c18, plain,
% 0.12/0.34 ~c_in(X0,v_A,t_a) | ~c_in(X1,v_A,t_a),
% 0.12/0.34 inference(strict_subterm_extension, [assumptions([a10, a11])], [c4, c17])).
% 0.12/0.34 cnf(c19, plain,
% 0.12/0.34 ~c_in(X7,v_A,t_a),
% 0.12/0.34 inference(strict_subterm_extension, [assumptions([a10, a11])], [c4, c17])).
% 0.12/0.34 cnf(c20, plain,
% 0.12/0.34 c_emptyset != X8,
% 0.12/0.34 inference(strict_subterm_extension, [assumptions([a10, a11])], [c4, c17])).
% 0.12/0.34
% 0.12/0.34 cnf(a12, assumption,
% 0.12/0.34 c_emptyset = X8).
% 0.12/0.34 cnf(c21, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(reflexivity, [assumptions([a12])], [c20])).
% 0.12/0.34
% 0.12/0.34 cnf(c22, axiom,
% 0.12/0.34 c_in(c_Tarski_Olub(v_Y,v_cl,t_a),v_A,t_a)).
% 0.12/0.34 cnf(a13, assumption,
% 0.12/0.34 X7 = c_Tarski_Olub(v_Y,v_cl,t_a)).
% 0.12/0.34 cnf(a14, assumption,
% 0.12/0.34 v_A = v_A).
% 0.12/0.34 cnf(a15, assumption,
% 0.12/0.34 t_a = t_a).
% 0.12/0.34 cnf(c23, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(strict_predicate_extension, [assumptions([a13, a14, a15])], [c19, c22])).
% 0.12/0.34 cnf(c24, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(strict_predicate_extension, [assumptions([a13, a14, a15])], [c19, c22])).
% 0.12/0.34
% 0.12/0.34 cnf(c25, plain,
% 0.12/0.34 c_in(X7,v_A,t_a)).
% 0.12/0.34 cnf(a16, assumption,
% 0.12/0.34 X0 = X7).
% 0.12/0.34 cnf(a17, assumption,
% 0.12/0.34 v_A = v_A).
% 0.12/0.34 cnf(a18, assumption,
% 0.12/0.34 t_a = t_a).
% 0.12/0.34 cnf(c26, plain,
% 0.12/0.34 ~c_in(X1,v_A,t_a),
% 0.12/0.34 inference(predicate_reduction, [assumptions([a16, a17, a18])], [c18, c25])).
% 0.12/0.34
% 0.12/0.34 cnf(c27, axiom,
% 0.12/0.34 c_in(c_Tarski_OTop(v_cl,t_a),v_A,t_a)).
% 0.12/0.34 cnf(a19, assumption,
% 0.12/0.34 X1 = c_Tarski_OTop(v_cl,t_a)).
% 0.12/0.34 cnf(a20, assumption,
% 0.12/0.34 v_A = v_A).
% 0.12/0.34 cnf(a21, assumption,
% 0.12/0.34 t_a = t_a).
% 0.12/0.34 cnf(c28, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(strict_predicate_extension, [assumptions([a19, a20, a21])], [c26, c27])).
% 0.12/0.34 cnf(c29, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(strict_predicate_extension, [assumptions([a19, a20, a21])], [c26, c27])).
% 0.12/0.34
% 0.12/0.34 cnf(c30, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(constraint_solving, [
% 0.12/0.34 bind(X0, c_Tarski_Olub(v_Y,v_cl,t_a)),
% 0.12/0.34 bind(X1, c_Tarski_OTop(v_cl,t_a)),
% 0.12/0.34 bind(X2, c_Tarski_Opotype_Opotype__ext(v_intY1,c_Tarski_Oinduced(v_intY1,v_r,t_a),c_Product__Type_OUnity,t_a,tc_Product__Type_Ounit)),
% 0.12/0.34 bind(X3, c_Tarski_OCompleteLattice),
% 0.12/0.34 bind(X4, tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
% 0.12/0.34 bind(X5, v_intY1),
% 0.12/0.34 bind(X6, v_intY1),
% 0.12/0.34 bind(X7, c_Tarski_Olub(v_Y,v_cl,t_a)),
% 0.12/0.34 bind(X8, c_emptyset)
% 0.12/0.34 ],
% 0.12/0.34 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20, a21])).
% 0.12/0.34
% 0.12/0.34 % SZS output end IncompleteProof
%------------------------------------------------------------------------------