TSTP Solution File: GEO200+3 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : GEO200+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 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 : 600s
% DateTime : Sat Jul 16 04:59:53 EDT 2022
% Result : Theorem 5.66s 1.08s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO200+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.13/0.33 % Computer : n016.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Fri Jun 17 23:41:51 EDT 2022
% 0.13/0.34 % CPUTime :
% 5.66/1.08 % SZS status Theorem
% 5.66/1.08 % SZS output begin IncompleteProof
% 5.66/1.08 cnf(c0, axiom,
% 5.66/1.08 distinct_points(sK2,sK3)).
% 5.66/1.08 cnf(c1, plain,
% 5.66/1.08 distinct_points(sK2,sK3),
% 5.66/1.08 inference(start, [], [c0])).
% 5.66/1.08
% 5.66/1.08 cnf(c2, axiom,
% 5.66/1.08 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)).
% 5.66/1.08 cnf(a0, assumption,
% 5.66/1.08 sK2 = X3).
% 5.66/1.08 cnf(a1, assumption,
% 5.66/1.08 sK3 = X0).
% 5.66/1.08 cnf(c3, plain,
% 5.66/1.08 $false,
% 5.66/1.08 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 5.66/1.08 cnf(c4, plain,
% 5.66/1.08 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),
% 5.66/1.08 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 5.66/1.08
% 5.66/1.08 cnf(c5, axiom,
% 5.66/1.08 ~apart_point_and_line(X4,line_connecting(X4,X5)) | ~distinct_points(X4,X5)).
% 5.66/1.08 cnf(a2, assumption,
% 5.66/1.08 X0 = X4).
% 5.66/1.08 cnf(a3, assumption,
% 5.66/1.08 X1 = line_connecting(X4,X5)).
% 5.66/1.08 cnf(c6, plain,
% 5.66/1.08 apart_point_and_line(X0,X2) | apart_point_and_line(X3,X1) | apart_point_and_line(X3,X2) | ~distinct_lines(X2,X1),
% 5.66/1.08 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])).
% 5.66/1.08 cnf(c7, plain,
% 5.66/1.08 ~distinct_points(X4,X5),
% 5.66/1.08 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])).
% 5.66/1.08
% 5.66/1.08 cnf(c8, axiom,
% 5.66/1.08 distinct_points(X6,X7) | distinct_points(X8,X7) | ~distinct_points(X8,X6)).
% 5.66/1.08 cnf(a4, assumption,
% 5.66/1.08 X4 = X6).
% 5.66/1.08 cnf(a5, assumption,
% 5.66/1.08 X5 = X7).
% 5.66/1.08 cnf(c9, plain,
% 5.66/1.08 $false,
% 5.66/1.08 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])).
% 5.66/1.08 cnf(c10, plain,
% 5.66/1.08 distinct_points(X8,X7) | ~distinct_points(X8,X6),
% 5.66/1.08 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])).
% 5.66/1.08
% 5.66/1.08 cnf(c11, axiom,
% 5.66/1.08 ~distinct_points(X9,X9)).
% 5.66/1.08 cnf(a6, assumption,
% 5.66/1.08 X8 = X9).
% 5.66/1.08 cnf(a7, assumption,
% 5.66/1.08 X7 = X9).
% 5.66/1.08 cnf(c12, plain,
% 5.66/1.08 ~distinct_points(X8,X6),
% 5.66/1.08 inference(strict_predicate_extension, [assumptions([a6, a7])], [c10, c11])).
% 5.66/1.08 cnf(c13, plain,
% 5.66/1.08 $false,
% 5.66/1.08 inference(strict_predicate_extension, [assumptions([a6, a7])], [c10, c11])).
% 5.66/1.08
% 5.66/1.08 cnf(c14, plain,
% 5.66/1.08 distinct_points(sK2,sK3)).
% 5.66/1.08 cnf(a8, assumption,
% 5.66/1.08 X8 = sK2).
% 5.66/1.08 cnf(a9, assumption,
% 5.66/1.08 X6 = sK3).
% 5.66/1.08 cnf(c15, plain,
% 5.66/1.08 $false,
% 5.66/1.08 inference(predicate_reduction, [assumptions([a8, a9])], [c12, c14])).
% 5.66/1.08
% 5.66/1.08 cnf(c16, axiom,
% 5.66/1.08 ~apart_point_and_line(X10,line_connecting(X11,X10)) | ~distinct_points(X11,X10)).
% 5.66/1.08 cnf(a10, assumption,
% 5.66/1.08 X0 = X10).
% 5.66/1.08 cnf(a11, assumption,
% 5.66/1.08 X2 = line_connecting(X11,X10)).
% 5.66/1.08 cnf(c17, plain,
% 5.66/1.08 apart_point_and_line(X3,X1) | apart_point_and_line(X3,X2) | ~distinct_lines(X2,X1),
% 5.66/1.08 inference(strict_predicate_extension, [assumptions([a10, a11])], [c6, c16])).
% 5.66/1.08 cnf(c18, plain,
% 5.66/1.08 ~distinct_points(X11,X10),
% 5.66/1.08 inference(strict_predicate_extension, [assumptions([a10, a11])], [c6, c16])).
% 5.66/1.08
% 5.66/1.08 cnf(c19, plain,
% 5.66/1.08 distinct_points(sK2,sK3)).
% 5.66/1.08 cnf(a12, assumption,
% 5.66/1.08 X11 = sK2).
% 5.66/1.08 cnf(a13, assumption,
% 5.66/1.08 X10 = sK3).
% 5.66/1.08 cnf(c20, plain,
% 5.66/1.08 $false,
% 5.66/1.08 inference(predicate_reduction, [assumptions([a12, a13])], [c18, c19])).
% 5.66/1.08
% 5.66/1.08 cnf(c21, axiom,
% 5.66/1.08 ~apart_point_and_line(X12,line_connecting(X13,X12)) | ~distinct_points(X13,X12)).
% 5.66/1.08 cnf(a14, assumption,
% 5.66/1.08 X3 = X12).
% 5.66/1.08 cnf(a15, assumption,
% 5.66/1.08 X1 = line_connecting(X13,X12)).
% 5.66/1.08 cnf(c22, plain,
% 5.66/1.08 apart_point_and_line(X3,X2) | ~distinct_lines(X2,X1),
% 5.66/1.08 inference(strict_predicate_extension, [assumptions([a14, a15])], [c17, c21])).
% 5.66/1.08 cnf(c23, plain,
% 5.66/1.08 ~distinct_points(X13,X12),
% 5.66/1.08 inference(strict_predicate_extension, [assumptions([a14, a15])], [c17, c21])).
% 5.66/1.08
% 5.66/1.08 cnf(c24, plain,
% 5.66/1.08 distinct_points(X4,X5)).
% 5.66/1.08 cnf(a16, assumption,
% 5.66/1.08 X13 = X4).
% 5.66/1.08 cnf(a17, assumption,
% 5.66/1.08 X12 = X5).
% 5.66/1.08 cnf(c25, plain,
% 5.66/1.08 $false,
% 5.66/1.08 inference(predicate_reduction, [assumptions([a16, a17])], [c23, c24])).
% 5.66/1.08
% 5.66/1.08 cnf(c26, axiom,
% 5.66/1.08 ~apart_point_and_line(X14,line_connecting(X14,X15)) | ~distinct_points(X14,X15)).
% 5.66/1.08 cnf(a18, assumption,
% 5.66/1.08 X3 = X14).
% 5.66/1.08 cnf(a19, assumption,
% 5.66/1.08 X2 = line_connecting(X14,X15)).
% 5.66/1.08 cnf(c27, plain,
% 5.66/1.08 ~distinct_lines(X2,X1),
% 5.66/1.08 inference(strict_predicate_extension, [assumptions([a18, a19])], [c22, c26])).
% 5.66/1.08 cnf(c28, plain,
% 5.66/1.08 ~distinct_points(X14,X15),
% 5.66/1.08 inference(strict_predicate_extension, [assumptions([a18, a19])], [c22, c26])).
% 5.66/1.08
% 5.66/1.08 cnf(c29, plain,
% 5.66/1.08 distinct_points(sK2,sK3)).
% 5.66/1.08 cnf(a20, assumption,
% 5.66/1.08 X14 = sK2).
% 5.66/1.08 cnf(a21, assumption,
% 5.66/1.08 X15 = sK3).
% 5.66/1.08 cnf(c30, plain,
% 5.66/1.08 $false,
% 5.66/1.08 inference(predicate_reduction, [assumptions([a20, a21])], [c28, c29])).
% 5.66/1.08
% 5.66/1.08 cnf(c31, axiom,
% 5.66/1.08 equal_lines(X16,X17) | distinct_lines(X16,X17)).
% 5.66/1.08 cnf(a22, assumption,
% 5.66/1.08 X2 = X16).
% 5.66/1.08 cnf(a23, assumption,
% 5.66/1.08 X1 = X17).
% 5.66/1.08 cnf(c32, plain,
% 5.66/1.08 $false,
% 5.66/1.08 inference(strict_predicate_extension, [assumptions([a22, a23])], [c27, c31])).
% 5.66/1.08 cnf(c33, plain,
% 5.66/1.08 equal_lines(X16,X17),
% 5.66/1.08 inference(strict_predicate_extension, [assumptions([a22, a23])], [c27, c31])).
% 5.66/1.08
% 5.66/1.08 cnf(c34, axiom,
% 5.66/1.08 ~equal_lines(line_connecting(sK2,sK3),line_connecting(sK3,sK2))).
% 5.66/1.08 cnf(a24, assumption,
% 5.66/1.08 X16 = line_connecting(sK2,sK3)).
% 5.66/1.08 cnf(a25, assumption,
% 5.66/1.08 X17 = line_connecting(sK3,sK2)).
% 5.66/1.08 cnf(c35, plain,
% 5.66/1.08 $false,
% 5.66/1.08 inference(strict_predicate_extension, [assumptions([a24, a25])], [c33, c34])).
% 5.66/1.08 cnf(c36, plain,
% 5.66/1.08 $false,
% 5.66/1.08 inference(strict_predicate_extension, [assumptions([a24, a25])], [c33, c34])).
% 5.66/1.08
% 5.66/1.08 cnf(c37, plain,
% 5.66/1.08 $false,
% 5.66/1.08 inference(constraint_solving, [
% 5.66/1.08 bind(X0, sK3),
% 5.66/1.08 bind(X1, line_connecting(X4,X5)),
% 5.66/1.08 bind(X2, line_connecting(X11,X10)),
% 5.66/1.08 bind(X3, sK2),
% 5.66/1.08 bind(X4, sK3),
% 5.66/1.08 bind(X5, sK2),
% 5.66/1.08 bind(X6, sK3),
% 5.66/1.08 bind(X7, sK2),
% 5.66/1.08 bind(X8, sK2),
% 5.66/1.08 bind(X9, sK2),
% 5.66/1.08 bind(X10, sK3),
% 5.66/1.08 bind(X11, sK2),
% 5.66/1.08 bind(X12, sK2),
% 5.66/1.08 bind(X13, sK3),
% 5.66/1.08 bind(X14, sK2),
% 5.66/1.08 bind(X15, sK3),
% 5.66/1.08 bind(X16, line_connecting(X11,X10)),
% 5.66/1.08 bind(X17, line_connecting(X4,X5))
% 5.66/1.08 ],
% 5.66/1.08 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20, a21, a22, a23, a24, a25])).
% 5.66/1.08
% 5.66/1.08 % SZS output end IncompleteProof
%------------------------------------------------------------------------------