TSTP Solution File: GEO187+1 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : GEO187+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 : n018.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 04:59:43 EDT 2022
% Result : Theorem 7.62s 1.32s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO187+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.12/0.33 % Computer : n018.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 : Fri Jun 17 20:47:32 EDT 2022
% 0.12/0.33 % CPUTime :
% 7.62/1.32 % SZS status Theorem
% 7.62/1.32 % SZS output begin IncompleteProof
% 7.62/1.32 cnf(c0, axiom,
% 7.62/1.32 distinct_points(sK0,sK1)).
% 7.62/1.32 cnf(c1, plain,
% 7.62/1.32 distinct_points(sK0,sK1),
% 7.62/1.32 inference(start, [], [c0])).
% 7.62/1.32
% 7.62/1.32 cnf(c2, axiom,
% 7.62/1.32 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)).
% 7.62/1.32 cnf(a0, assumption,
% 7.62/1.32 sK0 = X3).
% 7.62/1.32 cnf(a1, assumption,
% 7.62/1.32 sK1 = X0).
% 7.62/1.32 cnf(c3, plain,
% 7.62/1.32 $false,
% 7.62/1.32 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 7.62/1.32 cnf(c4, plain,
% 7.62/1.32 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),
% 7.62/1.32 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 7.62/1.32
% 7.62/1.32 cnf(c5, axiom,
% 7.62/1.32 ~apart_point_and_line(sK1,line_connecting(sK2,sK3))).
% 7.62/1.32 cnf(a2, assumption,
% 7.62/1.32 X0 = sK1).
% 7.62/1.32 cnf(a3, assumption,
% 7.62/1.32 X1 = line_connecting(sK2,sK3)).
% 7.62/1.32 cnf(c6, plain,
% 7.62/1.32 apart_point_and_line(X0,X2) | apart_point_and_line(X3,X1) | apart_point_and_line(X3,X2) | ~distinct_lines(X2,X1),
% 7.62/1.32 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])).
% 7.62/1.32 cnf(c7, plain,
% 7.62/1.32 $false,
% 7.62/1.32 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])).
% 7.62/1.32
% 7.62/1.32 cnf(c8, axiom,
% 7.62/1.32 ~apart_point_and_line(X4,line_connecting(X5,X4)) | ~distinct_points(X5,X4)).
% 7.62/1.32 cnf(a4, assumption,
% 7.62/1.32 X0 = X4).
% 7.62/1.32 cnf(a5, assumption,
% 7.62/1.32 X2 = line_connecting(X5,X4)).
% 7.62/1.32 cnf(c9, plain,
% 7.62/1.32 apart_point_and_line(X3,X1) | apart_point_and_line(X3,X2) | ~distinct_lines(X2,X1),
% 7.62/1.32 inference(strict_predicate_extension, [assumptions([a4, a5])], [c6, c8])).
% 7.62/1.32 cnf(c10, plain,
% 7.62/1.32 ~distinct_points(X5,X4),
% 7.62/1.32 inference(strict_predicate_extension, [assumptions([a4, a5])], [c6, c8])).
% 7.62/1.32
% 7.62/1.32 cnf(c11, plain,
% 7.62/1.32 distinct_points(sK0,sK1)).
% 7.62/1.32 cnf(a6, assumption,
% 7.62/1.32 X5 = sK0).
% 7.62/1.32 cnf(a7, assumption,
% 7.62/1.32 X4 = sK1).
% 7.62/1.32 cnf(c12, plain,
% 7.62/1.32 $false,
% 7.62/1.32 inference(predicate_reduction, [assumptions([a6, a7])], [c10, c11])).
% 7.62/1.32
% 7.62/1.32 cnf(c13, axiom,
% 7.62/1.32 ~apart_point_and_line(sK0,line_connecting(sK2,sK3))).
% 7.62/1.32 cnf(a8, assumption,
% 7.62/1.32 X3 = sK0).
% 7.62/1.32 cnf(a9, assumption,
% 7.62/1.32 X1 = line_connecting(sK2,sK3)).
% 7.62/1.32 cnf(c14, plain,
% 7.62/1.32 apart_point_and_line(X3,X2) | ~distinct_lines(X2,X1),
% 7.62/1.32 inference(strict_predicate_extension, [assumptions([a8, a9])], [c9, c13])).
% 7.62/1.32 cnf(c15, plain,
% 7.62/1.32 $false,
% 7.62/1.32 inference(strict_predicate_extension, [assumptions([a8, a9])], [c9, c13])).
% 7.62/1.32
% 7.62/1.32 cnf(c16, axiom,
% 7.62/1.32 ~apart_point_and_line(X6,line_connecting(X6,X7)) | ~distinct_points(X6,X7)).
% 7.62/1.32 cnf(a10, assumption,
% 7.62/1.32 X3 = X6).
% 7.62/1.32 cnf(a11, assumption,
% 7.62/1.32 X2 = line_connecting(X6,X7)).
% 7.62/1.32 cnf(c17, plain,
% 7.62/1.32 ~distinct_lines(X2,X1),
% 7.62/1.32 inference(strict_predicate_extension, [assumptions([a10, a11])], [c14, c16])).
% 7.62/1.32 cnf(c18, plain,
% 7.62/1.32 ~distinct_points(X6,X7),
% 7.62/1.32 inference(strict_predicate_extension, [assumptions([a10, a11])], [c14, c16])).
% 7.62/1.32
% 7.62/1.32 cnf(c19, plain,
% 7.62/1.32 distinct_points(sK0,sK1)).
% 7.62/1.32 cnf(a12, assumption,
% 7.62/1.32 X6 = sK0).
% 7.62/1.32 cnf(a13, assumption,
% 7.62/1.32 X7 = sK1).
% 7.62/1.32 cnf(c20, plain,
% 7.62/1.32 $false,
% 7.62/1.32 inference(predicate_reduction, [assumptions([a12, a13])], [c18, c19])).
% 7.62/1.32
% 7.62/1.32 cnf(c21, axiom,
% 7.62/1.32 apart_point_and_line(X8,X9) | distinct_lines(X10,X9) | ~apart_point_and_line(X8,X10)).
% 7.62/1.32 cnf(a14, assumption,
% 7.62/1.32 X2 = X10).
% 7.62/1.32 cnf(a15, assumption,
% 7.62/1.32 X1 = X9).
% 7.62/1.32 cnf(c22, plain,
% 7.62/1.32 $false,
% 7.62/1.32 inference(strict_predicate_extension, [assumptions([a14, a15])], [c17, c21])).
% 7.62/1.32 cnf(c23, plain,
% 7.62/1.32 apart_point_and_line(X8,X9) | ~apart_point_and_line(X8,X10),
% 7.62/1.32 inference(strict_predicate_extension, [assumptions([a14, a15])], [c17, c21])).
% 7.62/1.32
% 7.62/1.32 cnf(c24, axiom,
% 7.62/1.32 ~apart_point_and_line(X11,line_connecting(X11,X12)) | ~distinct_points(X11,X12)).
% 7.62/1.32 cnf(a16, assumption,
% 7.62/1.32 X8 = X11).
% 7.62/1.32 cnf(a17, assumption,
% 7.62/1.32 X9 = line_connecting(X11,X12)).
% 7.62/1.32 cnf(c25, plain,
% 7.62/1.32 ~apart_point_and_line(X8,X10),
% 7.62/1.32 inference(strict_predicate_extension, [assumptions([a16, a17])], [c23, c24])).
% 7.62/1.32 cnf(c26, plain,
% 7.62/1.32 ~distinct_points(X11,X12),
% 7.62/1.32 inference(strict_predicate_extension, [assumptions([a16, a17])], [c23, c24])).
% 7.62/1.32
% 7.62/1.32 cnf(c27, axiom,
% 7.62/1.32 distinct_points(sK2,sK3)).
% 7.62/1.32 cnf(a18, assumption,
% 7.62/1.32 X11 = sK2).
% 7.62/1.32 cnf(a19, assumption,
% 7.62/1.32 X12 = sK3).
% 7.62/1.32 cnf(c28, plain,
% 7.62/1.32 $false,
% 7.62/1.32 inference(strict_predicate_extension, [assumptions([a18, a19])], [c26, c27])).
% 7.62/1.32 cnf(c29, plain,
% 7.62/1.32 $false,
% 7.62/1.32 inference(strict_predicate_extension, [assumptions([a18, a19])], [c26, c27])).
% 7.62/1.32
% 7.62/1.32 cnf(c30, axiom,
% 7.62/1.32 apart_point_and_line(sK3,line_connecting(sK0,sK1)) | apart_point_and_line(sK2,line_connecting(sK0,sK1))).
% 7.62/1.32 cnf(a20, assumption,
% 7.62/1.32 X8 = sK2).
% 7.62/1.32 cnf(a21, assumption,
% 7.62/1.32 X10 = line_connecting(sK0,sK1)).
% 7.62/1.32 cnf(c31, plain,
% 7.62/1.32 $false,
% 7.62/1.32 inference(strict_predicate_extension, [assumptions([a20, a21])], [c25, c30])).
% 7.62/1.32 cnf(c32, plain,
% 7.62/1.32 apart_point_and_line(sK3,line_connecting(sK0,sK1)),
% 7.62/1.32 inference(strict_predicate_extension, [assumptions([a20, a21])], [c25, c30])).
% 7.62/1.32
% 7.62/1.32 cnf(c33, axiom,
% 7.62/1.32 apart_point_and_line(X13,X14) | distinct_lines(X15,X14) | ~apart_point_and_line(X13,X15)).
% 7.62/1.32 cnf(a22, assumption,
% 7.62/1.32 sK3 = X13).
% 7.62/1.32 cnf(a23, assumption,
% 7.62/1.32 line_connecting(sK0,sK1) = X15).
% 7.62/1.32 cnf(c34, plain,
% 7.62/1.32 $false,
% 7.62/1.32 inference(strict_predicate_extension, [assumptions([a22, a23])], [c32, c33])).
% 7.62/1.32 cnf(c35, plain,
% 7.62/1.32 apart_point_and_line(X13,X14) | distinct_lines(X15,X14),
% 7.62/1.32 inference(strict_predicate_extension, [assumptions([a22, a23])], [c32, c33])).
% 7.62/1.32
% 7.62/1.32 cnf(c36, axiom,
% 7.62/1.32 ~apart_point_and_line(X16,line_connecting(X17,X16)) | ~distinct_points(X17,X16)).
% 7.62/1.32 cnf(a24, assumption,
% 7.62/1.32 X13 = X16).
% 7.62/1.32 cnf(a25, assumption,
% 7.62/1.32 X14 = line_connecting(X17,X16)).
% 7.62/1.32 cnf(c37, plain,
% 7.62/1.32 distinct_lines(X15,X14),
% 7.62/1.32 inference(strict_predicate_extension, [assumptions([a24, a25])], [c35, c36])).
% 7.62/1.32 cnf(c38, plain,
% 7.62/1.32 ~distinct_points(X17,X16),
% 7.62/1.32 inference(strict_predicate_extension, [assumptions([a24, a25])], [c35, c36])).
% 7.62/1.32
% 7.62/1.32 cnf(c39, plain,
% 7.62/1.32 distinct_points(X11,X12)).
% 7.62/1.32 cnf(a26, assumption,
% 7.62/1.32 X17 = X11).
% 7.62/1.32 cnf(a27, assumption,
% 7.62/1.32 X16 = X12).
% 7.62/1.32 cnf(c40, plain,
% 7.62/1.32 $false,
% 7.62/1.32 inference(predicate_reduction, [assumptions([a26, a27])], [c38, c39])).
% 7.62/1.32
% 7.62/1.32 cnf(c41, plain,
% 7.62/1.32 ~distinct_lines(X2,X1)).
% 7.62/1.32 cnf(a28, assumption,
% 7.62/1.32 X15 = X2).
% 7.62/1.32 cnf(a29, assumption,
% 7.62/1.32 X14 = X1).
% 7.62/1.32 cnf(c42, plain,
% 7.62/1.32 $false,
% 7.62/1.32 inference(predicate_reduction, [assumptions([a28, a29])], [c37, c41])).
% 7.62/1.32
% 7.62/1.32 cnf(c43, plain,
% 7.62/1.32 $false,
% 7.62/1.32 inference(constraint_solving, [
% 7.62/1.32 bind(X0, sK1),
% 7.62/1.32 bind(X1, line_connecting(sK2,sK3)),
% 7.62/1.32 bind(X2, line_connecting(X5,X4)),
% 7.62/1.32 bind(X3, sK0),
% 7.62/1.32 bind(X4, sK1),
% 7.62/1.32 bind(X5, sK0),
% 7.62/1.32 bind(X6, sK0),
% 7.62/1.32 bind(X7, sK1),
% 7.62/1.32 bind(X8, sK2),
% 7.62/1.32 bind(X9, line_connecting(sK2,sK3)),
% 7.62/1.32 bind(X10, line_connecting(X5,X4)),
% 7.62/1.32 bind(X11, sK2),
% 7.62/1.32 bind(X12, sK3),
% 7.62/1.32 bind(X13, sK3),
% 7.62/1.32 bind(X14, line_connecting(X17,X16)),
% 7.62/1.32 bind(X15, line_connecting(sK0,sK1)),
% 7.62/1.32 bind(X16, sK3),
% 7.62/1.32 bind(X17, sK2)
% 7.62/1.32 ],
% 7.62/1.32 [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])).
% 7.62/1.32
% 7.62/1.32 % SZS output end IncompleteProof
%------------------------------------------------------------------------------