TSTP Solution File: GEO182+2 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : GEO182+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 : n028.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 04:59:39 EDT 2022
% Result : Theorem 93.15s 13.49s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO182+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.12/0.34 % Computer : n028.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 01:12:28 EDT 2022
% 0.12/0.34 % CPUTime :
% 93.15/13.49 % SZS status Theorem
% 93.15/13.49 % SZS output begin IncompleteProof
% 93.15/13.49 cnf(c0, axiom,
% 93.15/13.49 apart_point_and_line(sK2,line_connecting(sK0,sK1))).
% 93.15/13.49 cnf(c1, plain,
% 93.15/13.49 apart_point_and_line(sK2,line_connecting(sK0,sK1)),
% 93.15/13.49 inference(start, [], [c0])).
% 93.15/13.49
% 93.15/13.49 cnf(c2, axiom,
% 93.15/13.49 apart_point_and_line(X0,X1) | distinct_lines(X2,X1) | ~apart_point_and_line(X0,X2)).
% 93.15/13.49 cnf(a0, assumption,
% 93.15/13.49 sK2 = X0).
% 93.15/13.49 cnf(a1, assumption,
% 93.15/13.49 line_connecting(sK0,sK1) = X2).
% 93.15/13.49 cnf(c3, plain,
% 93.15/13.49 $false,
% 93.15/13.49 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 93.15/13.49 cnf(c4, plain,
% 93.15/13.49 apart_point_and_line(X0,X1) | distinct_lines(X2,X1),
% 93.15/13.49 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 93.15/13.49
% 93.15/13.49 cnf(c5, axiom,
% 93.15/13.49 ~apart_point_and_line(sK2,line_connecting(sK1,sK0))).
% 93.15/13.49 cnf(a2, assumption,
% 93.15/13.49 X0 = sK2).
% 93.15/13.49 cnf(a3, assumption,
% 93.15/13.49 X1 = line_connecting(sK1,sK0)).
% 93.15/13.49 cnf(c6, plain,
% 93.15/13.49 distinct_lines(X2,X1),
% 93.15/13.49 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])).
% 93.15/13.49 cnf(c7, plain,
% 93.15/13.49 $false,
% 93.15/13.49 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])).
% 93.15/13.49
% 93.15/13.49 cnf(c8, axiom,
% 93.15/13.49 apart_point_and_line(X3,X4) | apart_point_and_line(X3,X5) | apart_point_and_line(X6,X4) | apart_point_and_line(X6,X5) | ~distinct_lines(X5,X4) | ~distinct_points(X6,X3)).
% 93.15/13.49 cnf(a4, assumption,
% 93.15/13.49 X2 = X5).
% 93.15/13.49 cnf(a5, assumption,
% 93.15/13.49 X1 = X4).
% 93.15/13.49 cnf(c9, plain,
% 93.15/13.49 $false,
% 93.15/13.49 inference(strict_predicate_extension, [assumptions([a4, a5])], [c6, c8])).
% 93.15/13.49 cnf(c10, plain,
% 93.15/13.49 apart_point_and_line(X3,X4) | apart_point_and_line(X3,X5) | apart_point_and_line(X6,X4) | apart_point_and_line(X6,X5) | ~distinct_points(X6,X3),
% 93.15/13.49 inference(strict_predicate_extension, [assumptions([a4, a5])], [c6, c8])).
% 93.15/13.49
% 93.15/13.49 cnf(c11, axiom,
% 93.15/13.49 distinct_points(X7,X8) | ~apart_point_and_line(X7,line_connecting(X8,X9)) | ~distinct_points(X8,X9)).
% 93.15/13.49 cnf(a6, assumption,
% 93.15/13.49 X3 = X7).
% 93.15/13.49 cnf(a7, assumption,
% 93.15/13.49 X4 = line_connecting(X8,X9)).
% 93.15/13.49 cnf(c12, plain,
% 93.15/13.49 apart_point_and_line(X3,X5) | apart_point_and_line(X6,X4) | apart_point_and_line(X6,X5) | ~distinct_points(X6,X3),
% 93.15/13.49 inference(strict_predicate_extension, [assumptions([a6, a7])], [c10, c11])).
% 93.15/13.49 cnf(c13, plain,
% 93.15/13.49 distinct_points(X7,X8) | ~distinct_points(X8,X9),
% 93.15/13.49 inference(strict_predicate_extension, [assumptions([a6, a7])], [c10, c11])).
% 93.15/13.49
% 93.15/13.49 cnf(c14, axiom,
% 93.15/13.49 ~distinct_points(X10,X10)).
% 93.15/13.49 cnf(a8, assumption,
% 93.15/13.49 X7 = X10).
% 93.15/13.49 cnf(a9, assumption,
% 93.15/13.49 X8 = X10).
% 93.15/13.49 cnf(c15, plain,
% 93.15/13.49 ~distinct_points(X8,X9),
% 93.15/13.49 inference(strict_predicate_extension, [assumptions([a8, a9])], [c13, c14])).
% 93.15/13.49 cnf(c16, plain,
% 93.15/13.49 $false,
% 93.15/13.49 inference(strict_predicate_extension, [assumptions([a8, a9])], [c13, c14])).
% 93.15/13.49
% 93.15/13.49 cnf(c17, axiom,
% 93.15/13.49 distinct_points(X11,X12) | distinct_points(X13,X12) | ~distinct_points(X13,X11)).
% 93.15/13.49 cnf(a10, assumption,
% 93.15/13.49 X8 = X11).
% 93.15/13.49 cnf(a11, assumption,
% 93.15/13.49 X9 = X12).
% 93.15/13.49 cnf(c18, plain,
% 93.15/13.49 $false,
% 93.15/13.49 inference(strict_predicate_extension, [assumptions([a10, a11])], [c15, c17])).
% 93.15/13.49 cnf(c19, plain,
% 93.15/13.49 distinct_points(X13,X12) | ~distinct_points(X13,X11),
% 93.15/13.49 inference(strict_predicate_extension, [assumptions([a10, a11])], [c15, c17])).
% 93.15/13.49
% 93.15/13.49 cnf(c20, axiom,
% 93.15/13.49 ~distinct_points(X14,X14)).
% 93.15/13.49 cnf(a12, assumption,
% 93.15/13.49 X13 = X14).
% 93.15/13.49 cnf(a13, assumption,
% 93.15/13.49 X12 = X14).
% 93.15/13.49 cnf(c21, plain,
% 93.15/13.49 ~distinct_points(X13,X11),
% 93.15/13.49 inference(strict_predicate_extension, [assumptions([a12, a13])], [c19, c20])).
% 93.15/13.49 cnf(c22, plain,
% 93.15/13.49 $false,
% 93.15/13.49 inference(strict_predicate_extension, [assumptions([a12, a13])], [c19, c20])).
% 93.15/13.49
% 93.15/13.49 cnf(c23, axiom,
% 93.15/13.49 distinct_points(sK0,sK1)).
% 93.15/13.49 cnf(a14, assumption,
% 93.15/13.49 X13 = sK0).
% 93.15/13.49 cnf(a15, assumption,
% 93.15/13.49 X11 = sK1).
% 93.15/13.49 cnf(c24, plain,
% 93.15/13.49 $false,
% 93.15/13.49 inference(strict_predicate_extension, [assumptions([a14, a15])], [c21, c23])).
% 93.15/13.49 cnf(c25, plain,
% 93.15/13.49 $false,
% 93.15/13.49 inference(strict_predicate_extension, [assumptions([a14, a15])], [c21, c23])).
% 93.15/13.49
% 93.15/13.49 cnf(c26, axiom,
% 93.15/13.49 distinct_points(X15,X16) | ~apart_point_and_line(X15,line_connecting(X17,X16)) | ~distinct_points(X17,X16)).
% 93.15/13.49 cnf(a16, assumption,
% 93.15/13.49 X3 = X15).
% 93.15/13.49 cnf(a17, assumption,
% 93.15/13.49 X5 = line_connecting(X17,X16)).
% 93.15/13.49 cnf(c27, plain,
% 93.15/13.49 apart_point_and_line(X6,X4) | apart_point_and_line(X6,X5) | ~distinct_points(X6,X3),
% 93.15/13.49 inference(strict_predicate_extension, [assumptions([a16, a17])], [c12, c26])).
% 93.15/13.49 cnf(c28, plain,
% 93.15/13.49 distinct_points(X15,X16) | ~distinct_points(X17,X16),
% 93.15/13.49 inference(strict_predicate_extension, [assumptions([a16, a17])], [c12, c26])).
% 93.15/13.49
% 93.15/13.49 cnf(c29, plain,
% 93.15/13.49 ~distinct_points(X7,X8)).
% 93.15/13.49 cnf(a18, assumption,
% 93.15/13.49 X15 = X7).
% 93.15/13.49 cnf(a19, assumption,
% 93.15/13.49 X16 = X8).
% 93.15/13.49 cnf(c30, plain,
% 93.15/13.49 ~distinct_points(X17,X16),
% 93.15/13.49 inference(predicate_reduction, [assumptions([a18, a19])], [c28, c29])).
% 93.15/13.49
% 93.15/13.49 cnf(c31, plain,
% 93.15/13.49 distinct_points(X13,X11)).
% 93.15/13.49 cnf(a20, assumption,
% 93.15/13.49 X17 = X13).
% 93.15/13.49 cnf(a21, assumption,
% 93.15/13.49 X16 = X11).
% 93.15/13.49 cnf(c32, plain,
% 93.15/13.49 $false,
% 93.15/13.49 inference(predicate_reduction, [assumptions([a20, a21])], [c30, c31])).
% 93.15/13.49
% 93.15/13.49 cnf(c33, axiom,
% 93.15/13.49 distinct_points(X18,X19) | ~apart_point_and_line(X18,line_connecting(X20,X19)) | ~distinct_points(X20,X19)).
% 93.15/13.49 cnf(a22, assumption,
% 93.15/13.49 X6 = X18).
% 93.15/13.49 cnf(a23, assumption,
% 93.15/13.49 X4 = line_connecting(X20,X19)).
% 93.15/13.49 cnf(c34, plain,
% 93.15/13.49 apart_point_and_line(X6,X5) | ~distinct_points(X6,X3),
% 93.15/13.49 inference(strict_predicate_extension, [assumptions([a22, a23])], [c27, c33])).
% 93.15/13.49 cnf(c35, plain,
% 93.15/13.49 distinct_points(X18,X19) | ~distinct_points(X20,X19),
% 93.15/13.49 inference(strict_predicate_extension, [assumptions([a22, a23])], [c27, c33])).
% 93.15/13.49
% 93.15/13.49 cnf(c36, plain,
% 93.15/13.49 ~distinct_points(X13,X12)).
% 93.15/13.49 cnf(a24, assumption,
% 93.15/13.49 X18 = X13).
% 93.15/13.49 cnf(a25, assumption,
% 93.15/13.49 X19 = X12).
% 93.15/13.49 cnf(c37, plain,
% 93.15/13.49 ~distinct_points(X20,X19),
% 93.15/13.49 inference(predicate_reduction, [assumptions([a24, a25])], [c35, c36])).
% 93.15/13.49
% 93.15/13.49 cnf(c38, plain,
% 93.15/13.49 distinct_points(X8,X9)).
% 93.15/13.49 cnf(a26, assumption,
% 93.15/13.49 X20 = X8).
% 93.15/13.49 cnf(a27, assumption,
% 93.15/13.49 X19 = X9).
% 93.15/13.49 cnf(c39, plain,
% 93.15/13.49 $false,
% 93.15/13.49 inference(predicate_reduction, [assumptions([a26, a27])], [c37, c38])).
% 93.15/13.49
% 93.15/13.49 cnf(c40, axiom,
% 93.15/13.49 distinct_points(X21,X22) | ~apart_point_and_line(X21,line_connecting(X22,X23)) | ~distinct_points(X22,X23)).
% 93.15/13.49 cnf(a28, assumption,
% 93.15/13.49 X6 = X21).
% 93.15/13.49 cnf(a29, assumption,
% 93.15/13.49 X5 = line_connecting(X22,X23)).
% 93.15/13.49 cnf(c41, plain,
% 93.15/13.49 ~distinct_points(X6,X3),
% 93.15/13.49 inference(strict_predicate_extension, [assumptions([a28, a29])], [c34, c40])).
% 93.15/13.49 cnf(c42, plain,
% 93.15/13.49 distinct_points(X21,X22) | ~distinct_points(X22,X23),
% 93.15/13.49 inference(strict_predicate_extension, [assumptions([a28, a29])], [c34, c40])).
% 93.15/13.49
% 93.15/13.49 cnf(c43, plain,
% 93.15/13.49 ~distinct_points(X13,X12)).
% 93.15/13.49 cnf(a30, assumption,
% 93.15/13.49 X21 = X13).
% 93.15/13.49 cnf(a31, assumption,
% 93.15/13.49 X22 = X12).
% 93.15/13.49 cnf(c44, plain,
% 93.15/13.49 ~distinct_points(X22,X23),
% 93.15/13.49 inference(predicate_reduction, [assumptions([a30, a31])], [c42, c43])).
% 93.15/13.49
% 93.15/13.49 cnf(c45, plain,
% 93.15/13.49 distinct_points(X13,X11)).
% 93.15/13.49 cnf(a32, assumption,
% 93.15/13.49 X22 = X13).
% 93.15/13.49 cnf(a33, assumption,
% 93.15/13.49 X23 = X11).
% 93.15/13.49 cnf(c46, plain,
% 93.15/13.49 $false,
% 93.15/13.49 inference(predicate_reduction, [assumptions([a32, a33])], [c44, c45])).
% 93.15/13.49
% 93.15/13.49 cnf(c47, plain,
% 93.15/13.49 distinct_points(X13,X11)).
% 93.15/13.49 cnf(a34, assumption,
% 93.15/13.49 X6 = X13).
% 93.15/13.49 cnf(a35, assumption,
% 93.15/13.49 X3 = X11).
% 93.15/13.49 cnf(c48, plain,
% 93.15/13.49 $false,
% 93.15/13.49 inference(predicate_reduction, [assumptions([a34, a35])], [c41, c47])).
% 93.15/13.49
% 93.15/13.49 cnf(c49, plain,
% 93.15/13.49 $false,
% 93.15/13.49 inference(constraint_solving, [
% 93.15/13.49 bind(X0, sK2),
% 93.15/13.49 bind(X1, line_connecting(sK1,sK0)),
% 93.15/13.49 bind(X2, line_connecting(sK0,sK1)),
% 93.15/13.49 bind(X3, sK1),
% 93.15/13.49 bind(X4, line_connecting(sK1,sK0)),
% 93.15/13.49 bind(X5, line_connecting(sK0,sK1)),
% 93.15/13.49 bind(X6, sK0),
% 93.15/13.49 bind(X7, sK1),
% 93.15/13.49 bind(X8, sK1),
% 93.15/13.49 bind(X9, sK0),
% 93.15/13.49 bind(X10, sK1),
% 93.15/13.49 bind(X11, sK1),
% 93.15/13.49 bind(X12, sK0),
% 93.15/13.49 bind(X13, sK0),
% 93.15/13.49 bind(X14, sK0),
% 93.15/13.49 bind(X15, sK1),
% 93.15/13.49 bind(X16, sK1),
% 93.15/13.49 bind(X17, sK0),
% 93.15/13.49 bind(X18, sK0),
% 93.15/13.49 bind(X19, sK0),
% 93.15/13.49 bind(X20, sK1),
% 93.15/13.49 bind(X21, sK0),
% 93.15/13.49 bind(X22, sK0),
% 93.15/13.49 bind(X23, sK1)
% 93.15/13.49 ],
% 93.15/13.49 [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, a26, a27, a28, a29, a30, a31, a32, a33, a34, a35])).
% 93.15/13.49
% 93.15/13.49 % SZS output end IncompleteProof
%------------------------------------------------------------------------------