TSTP Solution File: GEO175+2 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : GEO175+2 : 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 : n029.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 : Sat Jul 16 04:59:34 EDT 2022
% Result : Theorem 0.22s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : GEO175+2 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.15 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.14/0.36 % Computer : n029.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 600
% 0.14/0.37 % DateTime : Sat Jun 18 12:53:44 EDT 2022
% 0.14/0.37 % CPUTime :
% 0.22/0.41 % SZS status Theorem
% 0.22/0.41 % SZS output begin IncompleteProof
% 0.22/0.41 cnf(c0, axiom,
% 0.22/0.41 ~apart_point_and_line(sK0,sK2)).
% 0.22/0.41 cnf(c1, plain,
% 0.22/0.41 ~apart_point_and_line(sK0,sK2),
% 0.22/0.41 inference(start, [], [c0])).
% 0.22/0.41
% 0.22/0.41 cnf(c2, axiom,
% 0.22/0.41 apart_point_and_line(X0,X1) | apart_point_and_line(X0,X2) | apart_point_and_line(X3,X1) | apart_point_and_line(X3,X2) | ~distinct_lines(X2,X1) | ~distinct_points(X3,X0)).
% 0.22/0.41 cnf(a0, assumption,
% 0.22/0.41 sK0 = X3).
% 0.22/0.41 cnf(a1, assumption,
% 0.22/0.41 sK2 = X2).
% 0.22/0.41 cnf(c3, plain,
% 0.22/0.41 $false,
% 0.22/0.41 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 0.22/0.41 cnf(c4, plain,
% 0.22/0.41 apart_point_and_line(X0,X1) | apart_point_and_line(X0,X2) | apart_point_and_line(X3,X1) | ~distinct_lines(X2,X1) | ~distinct_points(X3,X0),
% 0.22/0.41 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 0.22/0.41
% 0.22/0.41 cnf(c5, axiom,
% 0.22/0.41 distinct_points(X4,intersection_point(X5,X6)) | ~apart_point_and_line(X4,X6) | ~convergent_lines(X5,X6)).
% 0.22/0.41 cnf(a2, assumption,
% 0.22/0.41 X0 = X4).
% 0.22/0.41 cnf(a3, assumption,
% 0.22/0.41 X1 = X6).
% 0.22/0.41 cnf(c6, plain,
% 0.22/0.41 apart_point_and_line(X0,X2) | apart_point_and_line(X3,X1) | ~distinct_lines(X2,X1) | ~distinct_points(X3,X0),
% 0.22/0.41 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])).
% 0.22/0.41 cnf(c7, plain,
% 0.22/0.41 distinct_points(X4,intersection_point(X5,X6)) | ~convergent_lines(X5,X6),
% 0.22/0.41 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])).
% 0.22/0.41
% 0.22/0.41 cnf(c8, axiom,
% 0.22/0.41 ~distinct_points(X7,X7)).
% 0.22/0.41 cnf(a4, assumption,
% 0.22/0.41 X4 = X7).
% 0.22/0.41 cnf(a5, assumption,
% 0.22/0.41 intersection_point(X5,X6) = X7).
% 0.22/0.41 cnf(c9, plain,
% 0.22/0.41 ~convergent_lines(X5,X6),
% 0.22/0.41 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])).
% 0.22/0.41 cnf(c10, plain,
% 0.22/0.41 $false,
% 0.22/0.41 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])).
% 0.22/0.41
% 0.22/0.41 cnf(c11, axiom,
% 0.22/0.41 convergent_lines(sK2,sK3)).
% 0.22/0.41 cnf(a6, assumption,
% 0.22/0.41 X5 = sK2).
% 0.22/0.41 cnf(a7, assumption,
% 0.22/0.41 X6 = sK3).
% 0.22/0.41 cnf(c12, plain,
% 0.22/0.41 $false,
% 0.22/0.41 inference(strict_predicate_extension, [assumptions([a6, a7])], [c9, c11])).
% 0.22/0.41 cnf(c13, plain,
% 0.22/0.41 $false,
% 0.22/0.41 inference(strict_predicate_extension, [assumptions([a6, a7])], [c9, c11])).
% 0.22/0.41
% 0.22/0.41 cnf(c14, axiom,
% 0.22/0.41 distinct_points(X8,intersection_point(X9,X10)) | ~apart_point_and_line(X8,X9) | ~convergent_lines(X9,X10)).
% 0.22/0.41 cnf(a8, assumption,
% 0.22/0.41 X0 = X8).
% 0.22/0.41 cnf(a9, assumption,
% 0.22/0.41 X2 = X9).
% 0.22/0.41 cnf(c15, plain,
% 0.22/0.41 apart_point_and_line(X3,X1) | ~distinct_lines(X2,X1) | ~distinct_points(X3,X0),
% 0.22/0.41 inference(strict_predicate_extension, [assumptions([a8, a9])], [c6, c14])).
% 0.22/0.41 cnf(c16, plain,
% 0.22/0.41 distinct_points(X8,intersection_point(X9,X10)) | ~convergent_lines(X9,X10),
% 0.22/0.41 inference(strict_predicate_extension, [assumptions([a8, a9])], [c6, c14])).
% 0.22/0.41
% 0.22/0.41 cnf(c17, plain,
% 0.22/0.41 ~distinct_points(X4,intersection_point(X5,X6))).
% 0.22/0.41 cnf(a10, assumption,
% 0.22/0.41 X8 = X4).
% 0.22/0.41 cnf(a11, assumption,
% 0.22/0.41 intersection_point(X9,X10) = intersection_point(X5,X6)).
% 0.22/0.41 cnf(c18, plain,
% 0.22/0.41 ~convergent_lines(X9,X10),
% 0.22/0.41 inference(predicate_reduction, [assumptions([a10, a11])], [c16, c17])).
% 0.22/0.41
% 0.22/0.41 cnf(c19, plain,
% 0.22/0.41 convergent_lines(X5,X6)).
% 0.22/0.41 cnf(a12, assumption,
% 0.22/0.41 X9 = X5).
% 0.22/0.41 cnf(a13, assumption,
% 0.22/0.41 X10 = X6).
% 0.22/0.41 cnf(c20, plain,
% 0.22/0.41 $false,
% 0.22/0.41 inference(predicate_reduction, [assumptions([a12, a13])], [c18, c19])).
% 0.22/0.41
% 0.22/0.41 cnf(c21, axiom,
% 0.22/0.41 ~apart_point_and_line(sK0,sK3)).
% 0.22/0.41 cnf(a14, assumption,
% 0.22/0.41 X3 = sK0).
% 0.22/0.41 cnf(a15, assumption,
% 0.22/0.41 X1 = sK3).
% 0.22/0.41 cnf(c22, plain,
% 0.22/0.41 ~distinct_lines(X2,X1) | ~distinct_points(X3,X0),
% 0.22/0.41 inference(strict_predicate_extension, [assumptions([a14, a15])], [c15, c21])).
% 0.22/0.41 cnf(c23, plain,
% 0.22/0.41 $false,
% 0.22/0.41 inference(strict_predicate_extension, [assumptions([a14, a15])], [c15, c21])).
% 0.22/0.41
% 0.22/0.41 cnf(c24, axiom,
% 0.22/0.41 distinct_lines(X11,X12) | ~convergent_lines(X11,X12)).
% 0.22/0.41 cnf(a16, assumption,
% 0.22/0.41 X2 = X11).
% 0.22/0.41 cnf(a17, assumption,
% 0.22/0.41 X1 = X12).
% 0.22/0.41 cnf(c25, plain,
% 0.22/0.41 ~distinct_points(X3,X0),
% 0.22/0.41 inference(strict_predicate_extension, [assumptions([a16, a17])], [c22, c24])).
% 0.22/0.41 cnf(c26, plain,
% 0.22/0.41 ~convergent_lines(X11,X12),
% 0.22/0.41 inference(strict_predicate_extension, [assumptions([a16, a17])], [c22, c24])).
% 0.22/0.41
% 0.22/0.41 cnf(c27, plain,
% 0.22/0.41 convergent_lines(X5,X6)).
% 0.22/0.41 cnf(a18, assumption,
% 0.22/0.41 X11 = X5).
% 0.22/0.41 cnf(a19, assumption,
% 0.22/0.41 X12 = X6).
% 0.22/0.41 cnf(c28, plain,
% 0.22/0.41 $false,
% 0.22/0.41 inference(predicate_reduction, [assumptions([a18, a19])], [c26, c27])).
% 0.22/0.41
% 0.22/0.41 cnf(c29, axiom,
% 0.22/0.41 distinct_points(sK0,intersection_point(sK2,sK3))).
% 0.22/0.41 cnf(a20, assumption,
% 0.22/0.41 X3 = sK0).
% 0.22/0.41 cnf(a21, assumption,
% 0.22/0.41 X0 = intersection_point(sK2,sK3)).
% 0.22/0.41 cnf(c30, plain,
% 0.22/0.41 $false,
% 0.22/0.41 inference(strict_predicate_extension, [assumptions([a20, a21])], [c25, c29])).
% 0.22/0.41 cnf(c31, plain,
% 0.22/0.41 $false,
% 0.22/0.41 inference(strict_predicate_extension, [assumptions([a20, a21])], [c25, c29])).
% 0.22/0.41
% 0.22/0.41 cnf(c32, plain,
% 0.22/0.41 $false,
% 0.22/0.41 inference(constraint_solving, [
% 0.22/0.41 bind(X0, intersection_point(X5,X6)),
% 0.22/0.41 bind(X1, sK3),
% 0.22/0.41 bind(X2, sK2),
% 0.22/0.41 bind(X3, sK0),
% 0.22/0.41 bind(X4, intersection_point(X5,X6)),
% 0.22/0.41 bind(X5, sK2),
% 0.22/0.41 bind(X6, sK3),
% 0.22/0.41 bind(X7, intersection_point(X5,X6)),
% 0.22/0.41 bind(X8, intersection_point(X5,X6)),
% 0.22/0.41 bind(X9, sK2),
% 0.22/0.41 bind(X10, sK3),
% 0.22/0.41 bind(X11, sK2),
% 0.22/0.41 bind(X12, sK3)
% 0.22/0.41 ],
% 0.22/0.41 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20, a21])).
% 0.22/0.41
% 0.22/0.41 % SZS output end IncompleteProof
%------------------------------------------------------------------------------