TSTP Solution File: GEO188+2 by lazyCoP---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : GEO188+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 : n022.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 04:59:44 EDT 2022
% Result : Theorem 110.44s 15.03s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO188+2 : TPTP v8.1.0. Released v3.3.0.
% 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 : n022.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 : Sat Jun 18 14:04:46 EDT 2022
% 0.12/0.33 % CPUTime :
% 110.44/15.03 % SZS status Theorem
% 110.44/15.03 % SZS output begin IncompleteProof
% 110.44/15.03 cnf(c0, axiom,
% 110.44/15.03 distinct_points(sK1,sK2)).
% 110.44/15.03 cnf(c1, plain,
% 110.44/15.03 distinct_points(sK1,sK2),
% 110.44/15.03 inference(start, [], [c0])).
% 110.44/15.03
% 110.44/15.03 cnf(c2, axiom,
% 110.44/15.03 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)).
% 110.44/15.03 cnf(a0, assumption,
% 110.44/15.03 sK1 = X3).
% 110.44/15.03 cnf(a1, assumption,
% 110.44/15.03 sK2 = X0).
% 110.44/15.03 cnf(c3, plain,
% 110.44/15.03 $false,
% 110.44/15.03 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 110.44/15.03 cnf(c4, plain,
% 110.44/15.03 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),
% 110.44/15.03 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 110.44/15.03
% 110.44/15.03 cnf(c5, axiom,
% 110.44/15.03 ~apart_point_and_line(sK2,line_connecting(sK0,sK1))).
% 110.44/15.03 cnf(a2, assumption,
% 110.44/15.03 X0 = sK2).
% 110.44/15.03 cnf(a3, assumption,
% 110.44/15.03 X1 = line_connecting(sK0,sK1)).
% 110.44/15.03 cnf(c6, plain,
% 110.44/15.03 apart_point_and_line(X0,X2) | apart_point_and_line(X3,X1) | apart_point_and_line(X3,X2) | ~distinct_lines(X2,X1),
% 110.44/15.03 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])).
% 110.44/15.03 cnf(c7, plain,
% 110.44/15.03 $false,
% 110.44/15.03 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])).
% 110.44/15.03
% 110.44/15.03 cnf(c8, axiom,
% 110.44/15.03 distinct_points(X4,X5) | ~apart_point_and_line(X4,line_connecting(X5,X6)) | ~distinct_points(X5,X6)).
% 110.44/15.03 cnf(a4, assumption,
% 110.44/15.03 X0 = X4).
% 110.44/15.03 cnf(a5, assumption,
% 110.44/15.03 X2 = line_connecting(X5,X6)).
% 110.44/15.03 cnf(c9, plain,
% 110.44/15.03 apart_point_and_line(X3,X1) | apart_point_and_line(X3,X2) | ~distinct_lines(X2,X1),
% 110.44/15.03 inference(strict_predicate_extension, [assumptions([a4, a5])], [c6, c8])).
% 110.44/15.03 cnf(c10, plain,
% 110.44/15.03 distinct_points(X4,X5) | ~distinct_points(X5,X6),
% 110.44/15.03 inference(strict_predicate_extension, [assumptions([a4, a5])], [c6, c8])).
% 110.44/15.03
% 110.44/15.03 cnf(c11, axiom,
% 110.44/15.03 ~distinct_points(X7,X7)).
% 110.44/15.03 cnf(a6, assumption,
% 110.44/15.03 X4 = X7).
% 110.44/15.03 cnf(a7, assumption,
% 110.44/15.03 X5 = X7).
% 110.44/15.03 cnf(c12, plain,
% 110.44/15.03 ~distinct_points(X5,X6),
% 110.44/15.03 inference(strict_predicate_extension, [assumptions([a6, a7])], [c10, c11])).
% 110.44/15.03 cnf(c13, plain,
% 110.44/15.03 $false,
% 110.44/15.03 inference(strict_predicate_extension, [assumptions([a6, a7])], [c10, c11])).
% 110.44/15.03
% 110.44/15.03 cnf(c14, axiom,
% 110.44/15.03 distinct_points(X8,X9) | distinct_points(X10,X9) | ~distinct_points(X10,X8)).
% 110.44/15.03 cnf(a8, assumption,
% 110.44/15.03 X5 = X8).
% 110.44/15.03 cnf(a9, assumption,
% 110.44/15.03 X6 = X9).
% 110.44/15.03 cnf(c15, plain,
% 110.44/15.03 $false,
% 110.44/15.03 inference(strict_predicate_extension, [assumptions([a8, a9])], [c12, c14])).
% 110.44/15.03 cnf(c16, plain,
% 110.44/15.03 distinct_points(X10,X9) | ~distinct_points(X10,X8),
% 110.44/15.03 inference(strict_predicate_extension, [assumptions([a8, a9])], [c12, c14])).
% 110.44/15.03
% 110.44/15.03 cnf(c17, axiom,
% 110.44/15.03 ~distinct_points(X11,X11)).
% 110.44/15.03 cnf(a10, assumption,
% 110.44/15.03 X10 = X11).
% 110.44/15.03 cnf(a11, assumption,
% 110.44/15.03 X9 = X11).
% 110.44/15.03 cnf(c18, plain,
% 110.44/15.03 ~distinct_points(X10,X8),
% 110.44/15.03 inference(strict_predicate_extension, [assumptions([a10, a11])], [c16, c17])).
% 110.44/15.03 cnf(c19, plain,
% 110.44/15.03 $false,
% 110.44/15.03 inference(strict_predicate_extension, [assumptions([a10, a11])], [c16, c17])).
% 110.44/15.03
% 110.44/15.03 cnf(c20, plain,
% 110.44/15.03 distinct_points(sK1,sK2)).
% 110.44/15.03 cnf(a12, assumption,
% 110.44/15.03 X10 = sK1).
% 110.44/15.03 cnf(a13, assumption,
% 110.44/15.03 X8 = sK2).
% 110.44/15.03 cnf(c21, plain,
% 110.44/15.03 $false,
% 110.44/15.03 inference(predicate_reduction, [assumptions([a12, a13])], [c18, c20])).
% 110.44/15.03
% 110.44/15.03 cnf(c22, axiom,
% 110.44/15.03 distinct_points(X12,X13) | ~apart_point_and_line(X12,line_connecting(X14,X13)) | ~distinct_points(X14,X13)).
% 110.44/15.03 cnf(a14, assumption,
% 110.44/15.03 X3 = X12).
% 110.44/15.03 cnf(a15, assumption,
% 110.44/15.03 X1 = line_connecting(X14,X13)).
% 110.44/15.03 cnf(c23, plain,
% 110.44/15.03 apart_point_and_line(X3,X2) | ~distinct_lines(X2,X1),
% 110.44/15.03 inference(strict_predicate_extension, [assumptions([a14, a15])], [c9, c22])).
% 110.44/15.03 cnf(c24, plain,
% 110.44/15.03 distinct_points(X12,X13) | ~distinct_points(X14,X13),
% 110.44/15.03 inference(strict_predicate_extension, [assumptions([a14, a15])], [c9, c22])).
% 110.44/15.03
% 110.44/15.03 cnf(c25, plain,
% 110.44/15.03 ~distinct_points(X10,X9)).
% 110.44/15.03 cnf(a16, assumption,
% 110.44/15.03 X12 = X10).
% 110.44/15.03 cnf(a17, assumption,
% 110.44/15.03 X13 = X9).
% 110.44/15.03 cnf(c26, plain,
% 110.44/15.03 ~distinct_points(X14,X13),
% 110.44/15.03 inference(predicate_reduction, [assumptions([a16, a17])], [c24, c25])).
% 110.44/15.03
% 110.44/15.03 cnf(c27, axiom,
% 110.44/15.03 distinct_points(sK0,sK1)).
% 110.44/15.03 cnf(a18, assumption,
% 110.44/15.03 X14 = sK0).
% 110.44/15.03 cnf(a19, assumption,
% 110.44/15.03 X13 = sK1).
% 110.44/15.03 cnf(c28, plain,
% 110.44/15.03 $false,
% 110.44/15.03 inference(strict_predicate_extension, [assumptions([a18, a19])], [c26, c27])).
% 110.44/15.03 cnf(c29, plain,
% 110.44/15.03 $false,
% 110.44/15.03 inference(strict_predicate_extension, [assumptions([a18, a19])], [c26, c27])).
% 110.44/15.03
% 110.44/15.03 cnf(c30, axiom,
% 110.44/15.03 distinct_points(X15,X16) | ~apart_point_and_line(X15,line_connecting(X17,X16)) | ~distinct_points(X17,X16)).
% 110.44/15.03 cnf(a20, assumption,
% 110.44/15.03 X3 = X15).
% 110.44/15.03 cnf(a21, assumption,
% 110.44/15.03 X2 = line_connecting(X17,X16)).
% 110.44/15.03 cnf(c31, plain,
% 110.44/15.03 ~distinct_lines(X2,X1),
% 110.44/15.03 inference(strict_predicate_extension, [assumptions([a20, a21])], [c23, c30])).
% 110.44/15.03 cnf(c32, plain,
% 110.44/15.03 distinct_points(X15,X16) | ~distinct_points(X17,X16),
% 110.44/15.03 inference(strict_predicate_extension, [assumptions([a20, a21])], [c23, c30])).
% 110.44/15.03
% 110.44/15.03 cnf(c33, plain,
% 110.44/15.03 ~distinct_points(X10,X9)).
% 110.44/15.03 cnf(a22, assumption,
% 110.44/15.03 X15 = X10).
% 110.44/15.03 cnf(a23, assumption,
% 110.44/15.03 X16 = X9).
% 110.44/15.03 cnf(c34, plain,
% 110.44/15.03 ~distinct_points(X17,X16),
% 110.44/15.03 inference(predicate_reduction, [assumptions([a22, a23])], [c32, c33])).
% 110.44/15.03
% 110.44/15.03 cnf(c35, plain,
% 110.44/15.03 distinct_points(X5,X6)).
% 110.44/15.03 cnf(a24, assumption,
% 110.44/15.03 X17 = X5).
% 110.44/15.03 cnf(a25, assumption,
% 110.44/15.03 X16 = X6).
% 110.44/15.03 cnf(c36, plain,
% 110.44/15.03 $false,
% 110.44/15.03 inference(predicate_reduction, [assumptions([a24, a25])], [c34, c35])).
% 110.44/15.03
% 110.44/15.03 cnf(c37, axiom,
% 110.44/15.03 apart_point_and_line(X18,X19) | distinct_lines(X20,X19) | ~apart_point_and_line(X18,X20)).
% 110.44/15.03 cnf(a26, assumption,
% 110.44/15.03 X2 = X20).
% 110.44/15.03 cnf(a27, assumption,
% 110.44/15.03 X1 = X19).
% 110.44/15.03 cnf(c38, plain,
% 110.44/15.03 $false,
% 110.44/15.03 inference(strict_predicate_extension, [assumptions([a26, a27])], [c31, c37])).
% 110.44/15.03 cnf(c39, plain,
% 110.44/15.03 apart_point_and_line(X18,X19) | ~apart_point_and_line(X18,X20),
% 110.44/15.03 inference(strict_predicate_extension, [assumptions([a26, a27])], [c31, c37])).
% 110.44/15.03
% 110.44/15.03 cnf(c40, axiom,
% 110.44/15.03 distinct_points(X21,X22) | ~apart_point_and_line(X21,line_connecting(X22,X23)) | ~distinct_points(X22,X23)).
% 110.44/15.03 cnf(a28, assumption,
% 110.44/15.03 X18 = X21).
% 110.44/15.03 cnf(a29, assumption,
% 110.44/15.03 X19 = line_connecting(X22,X23)).
% 110.44/15.03 cnf(c41, plain,
% 110.44/15.03 ~apart_point_and_line(X18,X20),
% 110.44/15.03 inference(strict_predicate_extension, [assumptions([a28, a29])], [c39, c40])).
% 110.44/15.03 cnf(c42, plain,
% 110.44/15.03 distinct_points(X21,X22) | ~distinct_points(X22,X23),
% 110.44/15.03 inference(strict_predicate_extension, [assumptions([a28, a29])], [c39, c40])).
% 110.44/15.03
% 110.44/15.03 cnf(c43, axiom,
% 110.44/15.03 ~distinct_points(X24,X24)).
% 110.44/15.03 cnf(a30, assumption,
% 110.44/15.03 X21 = X24).
% 110.44/15.03 cnf(a31, assumption,
% 110.44/15.03 X22 = X24).
% 110.44/15.03 cnf(c44, plain,
% 110.44/15.03 ~distinct_points(X22,X23),
% 110.44/15.03 inference(strict_predicate_extension, [assumptions([a30, a31])], [c42, c43])).
% 110.44/15.03 cnf(c45, plain,
% 110.44/15.03 $false,
% 110.44/15.03 inference(strict_predicate_extension, [assumptions([a30, a31])], [c42, c43])).
% 110.44/15.03
% 110.44/15.03 cnf(c46, plain,
% 110.44/15.03 distinct_points(X14,X13)).
% 110.44/15.03 cnf(a32, assumption,
% 110.44/15.03 X22 = X14).
% 110.44/15.03 cnf(a33, assumption,
% 110.44/15.03 X23 = X13).
% 110.44/15.03 cnf(c47, plain,
% 110.44/15.03 $false,
% 110.44/15.03 inference(predicate_reduction, [assumptions([a32, a33])], [c44, c46])).
% 110.44/15.03
% 110.44/15.03 cnf(c48, axiom,
% 110.44/15.03 apart_point_and_line(sK0,line_connecting(sK2,sK1))).
% 110.44/15.03 cnf(a34, assumption,
% 110.44/15.03 X18 = sK0).
% 110.44/15.03 cnf(a35, assumption,
% 110.44/15.03 X20 = line_connecting(sK2,sK1)).
% 110.44/15.03 cnf(c49, plain,
% 110.44/15.03 $false,
% 110.44/15.03 inference(strict_predicate_extension, [assumptions([a34, a35])], [c41, c48])).
% 110.44/15.03 cnf(c50, plain,
% 110.44/15.03 $false,
% 110.44/15.03 inference(strict_predicate_extension, [assumptions([a34, a35])], [c41, c48])).
% 110.44/15.03
% 110.44/15.03 cnf(c51, plain,
% 110.44/15.03 $false,
% 110.44/15.03 inference(constraint_solving, [
% 110.44/15.03 bind(X0, sK2),
% 110.44/15.03 bind(X1, line_connecting(sK0,sK1)),
% 110.44/15.03 bind(X2, line_connecting(X5,X6)),
% 110.44/15.03 bind(X3, sK1),
% 110.44/15.03 bind(X4, sK2),
% 110.44/15.03 bind(X5, sK2),
% 110.44/15.03 bind(X6, sK1),
% 110.44/15.03 bind(X7, sK2),
% 110.44/15.03 bind(X8, sK2),
% 110.44/15.03 bind(X9, sK1),
% 110.44/15.03 bind(X10, sK1),
% 110.44/15.03 bind(X11, sK1),
% 110.44/15.03 bind(X12, sK1),
% 110.44/15.03 bind(X13, sK1),
% 110.44/15.03 bind(X14, sK0),
% 110.44/15.03 bind(X15, sK1),
% 110.44/15.03 bind(X16, sK1),
% 110.44/15.03 bind(X17, sK2),
% 110.44/15.03 bind(X18, sK0),
% 110.44/15.03 bind(X19, line_connecting(sK0,sK1)),
% 110.44/15.03 bind(X20, line_connecting(X5,X6)),
% 110.44/15.03 bind(X21, sK0),
% 110.44/15.03 bind(X22, sK0),
% 110.44/15.03 bind(X23, sK1),
% 110.44/15.03 bind(X24, sK0)
% 110.44/15.03 ],
% 110.44/15.03 [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])).
% 110.44/15.03
% 110.44/15.03 % SZS output end IncompleteProof
%------------------------------------------------------------------------------