TSTP Solution File: SEU341+1 by lazyCoP---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : SEU341+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% Computer : n008.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 : Tue Jul 19 11:55:12 EDT 2022
% Result : Theorem 92.83s 13.74s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU341+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.12/0.33 % Computer : n008.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 : Sun Jun 19 10:44:52 EDT 2022
% 0.12/0.34 % CPUTime :
% 92.83/13.74 % SZS status Theorem
% 92.83/13.74 % SZS output begin IncompleteProof
% 92.83/13.74 cnf(c0, axiom,
% 92.83/13.74 topological_space(sK14)).
% 92.83/13.74 cnf(c1, plain,
% 92.83/13.74 topological_space(sK14),
% 92.83/13.74 inference(start, [], [c0])).
% 92.83/13.74
% 92.83/13.74 cnf(c2, axiom,
% 92.83/13.74 interior(X0,X1) = X1 | ~open_subset(X1,X0) | ~element(X1,powerset(the_carrier(X0))) | ~element(X2,powerset(the_carrier(X3))) | ~top_str(X0) | ~top_str(X3) | ~topological_space(X3)).
% 92.83/13.74 cnf(a0, assumption,
% 92.83/13.74 sK14 = X3).
% 92.83/13.74 cnf(c3, plain,
% 92.83/13.74 $false,
% 92.83/13.74 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])).
% 92.83/13.74 cnf(c4, plain,
% 92.83/13.74 interior(X0,X1) = X1 | ~open_subset(X1,X0) | ~element(X1,powerset(the_carrier(X0))) | ~element(X2,powerset(the_carrier(X3))) | ~top_str(X0) | ~top_str(X3),
% 92.83/13.74 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])).
% 92.83/13.74
% 92.83/13.74 cnf(c5, axiom,
% 92.83/13.74 point_neighbourhood(X4,X5,X6) | ~in(X6,interior(X5,X4)) | ~element(X4,powerset(the_carrier(X5))) | ~element(X6,the_carrier(X5)) | ~top_str(X5) | ~topological_space(X5) | empty_carrier(X5)).
% 92.83/13.74 cnf(a1, assumption,
% 92.83/13.74 interior(X5,X4) = interior(X0,X1)).
% 92.83/13.74 cnf(c6, plain,
% 92.83/13.74 ~open_subset(X1,X0) | ~element(X1,powerset(the_carrier(X0))) | ~element(X2,powerset(the_carrier(X3))) | ~top_str(X0) | ~top_str(X3),
% 92.83/13.74 inference(strict_subterm_extension, [assumptions([a1])], [c4, c5])).
% 92.83/13.74 cnf(c7, plain,
% 92.83/13.74 point_neighbourhood(X4,X5,X6) | ~element(X4,powerset(the_carrier(X5))) | ~element(X6,the_carrier(X5)) | ~top_str(X5) | ~topological_space(X5) | empty_carrier(X5),
% 92.83/13.74 inference(strict_subterm_extension, [assumptions([a1])], [c4, c5])).
% 92.83/13.74 cnf(c8, plain,
% 92.83/13.74 ~in(X6,X1),
% 92.83/13.74 inference(strict_subterm_extension, [assumptions([a1])], [c4, c5])).
% 92.83/13.74
% 92.83/13.74 cnf(c9, axiom,
% 92.83/13.74 in(sK16,sK15)).
% 92.83/13.74 cnf(a2, assumption,
% 92.83/13.74 X6 = sK16).
% 92.83/13.74 cnf(a3, assumption,
% 92.83/13.74 X1 = sK15).
% 92.83/13.74 cnf(c10, plain,
% 92.83/13.74 $false,
% 92.83/13.74 inference(strict_predicate_extension, [assumptions([a2, a3])], [c8, c9])).
% 92.83/13.74 cnf(c11, plain,
% 92.83/13.74 $false,
% 92.83/13.74 inference(strict_predicate_extension, [assumptions([a2, a3])], [c8, c9])).
% 92.83/13.74
% 92.83/13.74 cnf(c12, axiom,
% 92.83/13.74 ~point_neighbourhood(sK15,sK14,sK16)).
% 92.83/13.74 cnf(a4, assumption,
% 92.83/13.74 X4 = sK15).
% 92.83/13.74 cnf(a5, assumption,
% 92.83/13.74 X5 = sK14).
% 92.83/13.74 cnf(a6, assumption,
% 92.83/13.74 X6 = sK16).
% 92.83/13.74 cnf(c13, plain,
% 92.83/13.74 ~element(X4,powerset(the_carrier(X5))) | ~element(X6,the_carrier(X5)) | ~top_str(X5) | ~topological_space(X5) | empty_carrier(X5),
% 92.83/13.74 inference(strict_predicate_extension, [assumptions([a4, a5, a6])], [c7, c12])).
% 92.83/13.74 cnf(c14, plain,
% 92.83/13.74 $false,
% 92.83/13.74 inference(strict_predicate_extension, [assumptions([a4, a5, a6])], [c7, c12])).
% 92.83/13.74
% 92.83/13.74 cnf(c15, axiom,
% 92.83/13.74 element(sK15,powerset(the_carrier(sK14)))).
% 92.83/13.74 cnf(a7, assumption,
% 92.83/13.74 X4 = sK15).
% 92.83/13.74 cnf(a8, assumption,
% 92.83/13.74 powerset(the_carrier(X5)) = powerset(the_carrier(sK14))).
% 92.83/13.74 cnf(c16, plain,
% 92.83/13.74 ~element(X6,the_carrier(X5)) | ~top_str(X5) | ~topological_space(X5) | empty_carrier(X5),
% 92.83/13.74 inference(strict_predicate_extension, [assumptions([a7, a8])], [c13, c15])).
% 92.83/13.74 cnf(c17, plain,
% 92.83/13.74 $false,
% 92.83/13.74 inference(strict_predicate_extension, [assumptions([a7, a8])], [c13, c15])).
% 92.83/13.74
% 92.83/13.74 cnf(c18, axiom,
% 92.83/13.74 element(sK16,the_carrier(sK14))).
% 92.83/13.74 cnf(a9, assumption,
% 92.83/13.74 X6 = sK16).
% 92.83/13.74 cnf(a10, assumption,
% 92.83/13.74 the_carrier(X5) = the_carrier(sK14)).
% 92.83/13.74 cnf(c19, plain,
% 92.83/13.74 ~top_str(X5) | ~topological_space(X5) | empty_carrier(X5),
% 92.83/13.74 inference(strict_predicate_extension, [assumptions([a9, a10])], [c16, c18])).
% 92.83/13.74 cnf(c20, plain,
% 92.83/13.74 $false,
% 92.83/13.74 inference(strict_predicate_extension, [assumptions([a9, a10])], [c16, c18])).
% 92.83/13.74
% 92.83/13.74 cnf(c21, axiom,
% 92.83/13.74 top_str(sK14)).
% 92.83/13.74 cnf(a11, assumption,
% 92.83/13.74 X5 = sK14).
% 92.83/13.74 cnf(c22, plain,
% 92.83/13.74 ~topological_space(X5) | empty_carrier(X5),
% 92.83/13.74 inference(strict_predicate_extension, [assumptions([a11])], [c19, c21])).
% 92.83/13.74 cnf(c23, plain,
% 92.83/13.74 $false,
% 92.83/13.74 inference(strict_predicate_extension, [assumptions([a11])], [c19, c21])).
% 92.83/13.74
% 92.83/13.74 cnf(c24, plain,
% 92.83/13.74 topological_space(sK14)).
% 92.83/13.74 cnf(a12, assumption,
% 92.83/13.74 X5 = sK14).
% 92.83/13.74 cnf(c25, plain,
% 92.83/13.74 empty_carrier(X5),
% 92.83/13.74 inference(predicate_reduction, [assumptions([a12])], [c22, c24])).
% 92.83/13.74
% 92.83/13.74 cnf(c26, axiom,
% 92.83/13.74 ~empty_carrier(sK14)).
% 92.83/13.74 cnf(a13, assumption,
% 92.83/13.74 X5 = sK14).
% 92.83/13.74 cnf(c27, plain,
% 92.83/13.74 $false,
% 92.83/13.74 inference(strict_predicate_extension, [assumptions([a13])], [c25, c26])).
% 92.83/13.74 cnf(c28, plain,
% 92.83/13.74 $false,
% 92.83/13.74 inference(strict_predicate_extension, [assumptions([a13])], [c25, c26])).
% 92.83/13.74
% 92.83/13.74 cnf(c29, axiom,
% 92.83/13.74 open_subset(sK15,sK14)).
% 92.83/13.74 cnf(a14, assumption,
% 92.83/13.74 X1 = sK15).
% 92.83/13.74 cnf(a15, assumption,
% 92.83/13.74 X0 = sK14).
% 92.83/13.74 cnf(c30, plain,
% 92.83/13.74 ~element(X1,powerset(the_carrier(X0))) | ~element(X2,powerset(the_carrier(X3))) | ~top_str(X0) | ~top_str(X3),
% 92.83/13.74 inference(strict_predicate_extension, [assumptions([a14, a15])], [c6, c29])).
% 92.83/13.74 cnf(c31, plain,
% 92.83/13.74 $false,
% 92.83/13.74 inference(strict_predicate_extension, [assumptions([a14, a15])], [c6, c29])).
% 92.83/13.74
% 92.83/13.74 cnf(c32, plain,
% 92.83/13.74 element(X4,powerset(the_carrier(X5)))).
% 92.83/13.74 cnf(a16, assumption,
% 92.83/13.74 X1 = X4).
% 92.83/13.74 cnf(a17, assumption,
% 92.83/13.74 powerset(the_carrier(X0)) = powerset(the_carrier(X5))).
% 92.83/13.74 cnf(c33, plain,
% 92.83/13.74 ~element(X2,powerset(the_carrier(X3))) | ~top_str(X0) | ~top_str(X3),
% 92.83/13.74 inference(predicate_reduction, [assumptions([a16, a17])], [c30, c32])).
% 92.83/13.74
% 92.83/13.74 cnf(c34, plain,
% 92.83/13.74 element(X4,powerset(the_carrier(X5)))).
% 92.83/13.74 cnf(a18, assumption,
% 92.83/13.74 X2 = X4).
% 92.83/13.74 cnf(a19, assumption,
% 92.83/13.74 powerset(the_carrier(X3)) = powerset(the_carrier(X5))).
% 92.83/13.74 cnf(c35, plain,
% 92.83/13.74 ~top_str(X0) | ~top_str(X3),
% 92.83/13.74 inference(predicate_reduction, [assumptions([a18, a19])], [c33, c34])).
% 92.83/13.74
% 92.83/13.74 cnf(c36, plain,
% 92.83/13.74 top_str(X5)).
% 92.83/13.74 cnf(a20, assumption,
% 92.83/13.74 X0 = X5).
% 92.83/13.74 cnf(c37, plain,
% 92.83/13.74 ~top_str(X3),
% 92.83/13.74 inference(predicate_reduction, [assumptions([a20])], [c35, c36])).
% 92.83/13.74
% 92.83/13.74 cnf(c38, plain,
% 92.83/13.74 top_str(X5)).
% 92.83/13.74 cnf(a21, assumption,
% 92.83/13.74 X3 = X5).
% 92.83/13.74 cnf(c39, plain,
% 92.83/13.74 $false,
% 92.83/13.74 inference(predicate_reduction, [assumptions([a21])], [c37, c38])).
% 92.83/13.74
% 92.83/13.74 cnf(c40, plain,
% 92.83/13.74 $false,
% 92.83/13.74 inference(constraint_solving, [
% 92.83/13.74 bind(X0, sK14),
% 92.83/13.74 bind(X1, sK15),
% 92.83/13.74 bind(X2, sK15),
% 92.83/13.74 bind(X3, sK14),
% 92.83/13.74 bind(X4, sK15),
% 92.83/13.74 bind(X5, sK14),
% 92.83/13.74 bind(X6, sK16)
% 92.83/13.74 ],
% 92.83/13.74 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20, a21])).
% 92.83/13.74
% 92.83/13.74 % SZS output end IncompleteProof
%------------------------------------------------------------------------------