TSTP Solution File: GEO222+2 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : GEO222+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 : n010.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 05:00:09 EDT 2022
% Result : Theorem 84.86s 12.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO222+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.12/0.34 % Computer : n010.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 07:08:38 EDT 2022
% 0.12/0.34 % CPUTime :
% 84.86/12.48 % SZS status Theorem
% 84.86/12.48 % SZS output begin IncompleteProof
% 84.86/12.48 cnf(c0, axiom,
% 84.86/12.48 convergent_lines(sK2,orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1))).
% 84.86/12.48 cnf(c1, plain,
% 84.86/12.48 convergent_lines(sK2,orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1)),
% 84.86/12.48 inference(start, [], [c0])).
% 84.86/12.48
% 84.86/12.48 cnf(c2, axiom,
% 84.86/12.48 distinct_points(X0,intersection_point(X1,X2)) | ~apart_point_and_line(X0,X1) | ~convergent_lines(X1,X2)).
% 84.86/12.48 cnf(a0, assumption,
% 84.86/12.48 sK2 = X1).
% 84.86/12.48 cnf(a1, assumption,
% 84.86/12.48 orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1) = X2).
% 84.86/12.48 cnf(c3, plain,
% 84.86/12.48 $false,
% 84.86/12.48 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 84.86/12.48 cnf(c4, plain,
% 84.86/12.48 distinct_points(X0,intersection_point(X1,X2)) | ~apart_point_and_line(X0,X1),
% 84.86/12.48 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 84.86/12.48
% 84.86/12.48 cnf(c5, axiom,
% 84.86/12.48 ~distinct_points(X3,X3)).
% 84.86/12.48 cnf(a2, assumption,
% 84.86/12.48 X0 = X3).
% 84.86/12.48 cnf(a3, assumption,
% 84.86/12.48 intersection_point(X1,X2) = X3).
% 84.86/12.48 cnf(c6, plain,
% 84.86/12.48 ~apart_point_and_line(X0,X1),
% 84.86/12.48 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])).
% 84.86/12.48 cnf(c7, plain,
% 84.86/12.48 $false,
% 84.86/12.48 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])).
% 84.86/12.48
% 84.86/12.48 cnf(c8, axiom,
% 84.86/12.48 unorthogonal_lines(X4,X5) | unorthogonal_lines(X6,X5) | apart_point_and_line(X7,X4) | apart_point_and_line(X7,X6) | ~distinct_lines(X6,X4)).
% 84.86/12.48 cnf(a4, assumption,
% 84.86/12.48 X0 = X7).
% 84.86/12.48 cnf(a5, assumption,
% 84.86/12.48 X1 = X6).
% 84.86/12.48 cnf(c9, plain,
% 84.86/12.48 $false,
% 84.86/12.48 inference(strict_predicate_extension, [assumptions([a4, a5])], [c6, c8])).
% 84.86/12.48 cnf(c10, plain,
% 84.86/12.48 unorthogonal_lines(X4,X5) | unorthogonal_lines(X6,X5) | apart_point_and_line(X7,X4) | ~distinct_lines(X6,X4),
% 84.86/12.48 inference(strict_predicate_extension, [assumptions([a4, a5])], [c6, c8])).
% 84.86/12.48
% 84.86/12.48 cnf(c11, axiom,
% 84.86/12.48 ~unorthogonal_lines(orthogonal_through_point(X8,X9),X8)).
% 84.86/12.48 cnf(a6, assumption,
% 84.86/12.48 X4 = orthogonal_through_point(X8,X9)).
% 84.86/12.48 cnf(a7, assumption,
% 84.86/12.48 X5 = X8).
% 84.86/12.48 cnf(c12, plain,
% 84.86/12.48 unorthogonal_lines(X6,X5) | apart_point_and_line(X7,X4) | ~distinct_lines(X6,X4),
% 84.86/12.48 inference(strict_predicate_extension, [assumptions([a6, a7])], [c10, c11])).
% 84.86/12.48 cnf(c13, plain,
% 84.86/12.48 $false,
% 84.86/12.48 inference(strict_predicate_extension, [assumptions([a6, a7])], [c10, c11])).
% 84.86/12.48
% 84.86/12.48 cnf(c14, axiom,
% 84.86/12.48 unorthogonal_lines(X10,X11) | sP0(X11,X12) | ~unorthogonal_lines(X12,X10) | ~convergent_lines(X12,X10)).
% 84.86/12.48 cnf(a8, assumption,
% 84.86/12.48 X6 = X12).
% 84.86/12.48 cnf(a9, assumption,
% 84.86/12.48 X5 = X10).
% 84.86/12.48 cnf(c15, plain,
% 84.86/12.48 apart_point_and_line(X7,X4) | ~distinct_lines(X6,X4),
% 84.86/12.48 inference(strict_predicate_extension, [assumptions([a8, a9])], [c12, c14])).
% 84.86/12.48 cnf(c16, plain,
% 84.86/12.48 unorthogonal_lines(X10,X11) | sP0(X11,X12) | ~convergent_lines(X12,X10),
% 84.86/12.48 inference(strict_predicate_extension, [assumptions([a8, a9])], [c12, c14])).
% 84.86/12.48
% 84.86/12.48 cnf(c17, axiom,
% 84.86/12.48 ~unorthogonal_lines(orthogonal_through_point(X13,X14),X13)).
% 84.86/12.48 cnf(a10, assumption,
% 84.86/12.48 X10 = orthogonal_through_point(X13,X14)).
% 84.86/12.48 cnf(a11, assumption,
% 84.86/12.48 X11 = X13).
% 84.86/12.48 cnf(c18, plain,
% 84.86/12.48 sP0(X11,X12) | ~convergent_lines(X12,X10),
% 84.86/12.48 inference(strict_predicate_extension, [assumptions([a10, a11])], [c16, c17])).
% 84.86/12.48 cnf(c19, plain,
% 84.86/12.48 $false,
% 84.86/12.48 inference(strict_predicate_extension, [assumptions([a10, a11])], [c16, c17])).
% 84.86/12.48
% 84.86/12.48 cnf(c20, axiom,
% 84.86/12.48 convergent_lines(X15,X16) | ~sP0(X16,X15)).
% 84.86/12.48 cnf(a12, assumption,
% 84.86/12.48 X11 = X16).
% 84.86/12.48 cnf(a13, assumption,
% 84.86/12.48 X12 = X15).
% 84.86/12.48 cnf(c21, plain,
% 84.86/12.48 ~convergent_lines(X12,X10),
% 84.86/12.48 inference(strict_predicate_extension, [assumptions([a12, a13])], [c18, c20])).
% 84.86/12.48 cnf(c22, plain,
% 84.86/12.48 convergent_lines(X15,X16),
% 84.86/12.48 inference(strict_predicate_extension, [assumptions([a12, a13])], [c18, c20])).
% 84.86/12.48
% 84.86/12.48 cnf(c23, axiom,
% 84.86/12.48 ~convergent_lines(X17,X17)).
% 84.86/12.48 cnf(a14, assumption,
% 84.86/12.48 X15 = X17).
% 84.86/12.48 cnf(a15, assumption,
% 84.86/12.48 X16 = X17).
% 84.86/12.48 cnf(c24, plain,
% 84.86/12.48 $false,
% 84.86/12.48 inference(strict_predicate_extension, [assumptions([a14, a15])], [c22, c23])).
% 84.86/12.48 cnf(c25, plain,
% 84.86/12.48 $false,
% 84.86/12.48 inference(strict_predicate_extension, [assumptions([a14, a15])], [c22, c23])).
% 84.86/12.48
% 84.86/12.48 cnf(c26, axiom,
% 84.86/12.48 convergent_lines(X18,X19) | convergent_lines(X20,X19) | ~convergent_lines(X20,X18)).
% 84.86/12.48 cnf(a16, assumption,
% 84.86/12.48 X12 = X18).
% 84.86/12.48 cnf(a17, assumption,
% 84.86/12.48 X10 = X19).
% 84.86/12.48 cnf(c27, plain,
% 84.86/12.48 $false,
% 84.86/12.48 inference(strict_predicate_extension, [assumptions([a16, a17])], [c21, c26])).
% 84.86/12.48 cnf(c28, plain,
% 84.86/12.48 convergent_lines(X20,X19) | ~convergent_lines(X20,X18),
% 84.86/12.48 inference(strict_predicate_extension, [assumptions([a16, a17])], [c21, c26])).
% 84.86/12.48
% 84.86/12.48 cnf(c29, axiom,
% 84.86/12.48 ~convergent_lines(X21,X21)).
% 84.86/12.48 cnf(a18, assumption,
% 84.86/12.48 X20 = X21).
% 84.86/12.48 cnf(a19, assumption,
% 84.86/12.48 X19 = X21).
% 84.86/12.48 cnf(c30, plain,
% 84.86/12.48 ~convergent_lines(X20,X18),
% 84.86/12.48 inference(strict_predicate_extension, [assumptions([a18, a19])], [c28, c29])).
% 84.86/12.48 cnf(c31, plain,
% 84.86/12.48 $false,
% 84.86/12.48 inference(strict_predicate_extension, [assumptions([a18, a19])], [c28, c29])).
% 84.86/12.48
% 84.86/12.48 cnf(c32, axiom,
% 84.86/12.48 unorthogonal_lines(X22,X23) | convergent_lines(X22,X23)).
% 84.86/12.48 cnf(a20, assumption,
% 84.86/12.48 X20 = X22).
% 84.86/12.48 cnf(a21, assumption,
% 84.86/12.48 X18 = X23).
% 84.86/12.48 cnf(c33, plain,
% 84.86/12.48 $false,
% 84.86/12.48 inference(strict_predicate_extension, [assumptions([a20, a21])], [c30, c32])).
% 84.86/12.48 cnf(c34, plain,
% 84.86/12.48 unorthogonal_lines(X22,X23),
% 84.86/12.48 inference(strict_predicate_extension, [assumptions([a20, a21])], [c30, c32])).
% 84.86/12.48
% 84.86/12.48 cnf(c35, plain,
% 84.86/12.48 ~unorthogonal_lines(X10,X11)).
% 84.86/12.48 cnf(a22, assumption,
% 84.86/12.48 X22 = X10).
% 84.86/12.48 cnf(a23, assumption,
% 84.86/12.48 X23 = X11).
% 84.86/12.48 cnf(c36, plain,
% 84.86/12.48 $false,
% 84.86/12.48 inference(predicate_reduction, [assumptions([a22, a23])], [c34, c35])).
% 84.86/12.48
% 84.86/12.48 cnf(c37, axiom,
% 84.86/12.48 distinct_points(X24,intersection_point(X25,X26)) | ~apart_point_and_line(X24,X26) | ~convergent_lines(X25,X26)).
% 84.86/12.48 cnf(a24, assumption,
% 84.86/12.48 X7 = X24).
% 84.86/12.48 cnf(a25, assumption,
% 84.86/12.48 X4 = X26).
% 84.86/12.48 cnf(c38, plain,
% 84.86/12.48 ~distinct_lines(X6,X4),
% 84.86/12.48 inference(strict_predicate_extension, [assumptions([a24, a25])], [c15, c37])).
% 84.86/12.48 cnf(c39, plain,
% 84.86/12.48 distinct_points(X24,intersection_point(X25,X26)) | ~convergent_lines(X25,X26),
% 84.86/12.48 inference(strict_predicate_extension, [assumptions([a24, a25])], [c15, c37])).
% 84.86/12.48
% 84.86/12.48 cnf(c40, plain,
% 84.86/12.48 ~distinct_points(X0,intersection_point(X1,X2))).
% 84.86/12.48 cnf(a26, assumption,
% 84.86/12.48 X24 = X0).
% 84.86/12.48 cnf(a27, assumption,
% 84.86/12.48 intersection_point(X25,X26) = intersection_point(X1,X2)).
% 84.86/12.48 cnf(c41, plain,
% 84.86/12.48 ~convergent_lines(X25,X26),
% 84.86/12.48 inference(predicate_reduction, [assumptions([a26, a27])], [c39, c40])).
% 84.86/12.48
% 84.86/12.48 cnf(c42, plain,
% 84.86/12.48 convergent_lines(sK2,orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1))).
% 84.86/12.48 cnf(a28, assumption,
% 84.86/12.48 X25 = sK2).
% 84.86/12.48 cnf(a29, assumption,
% 84.86/12.48 X26 = orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1)).
% 84.86/12.48 cnf(c43, plain,
% 84.86/12.48 $false,
% 84.86/12.48 inference(predicate_reduction, [assumptions([a28, a29])], [c41, c42])).
% 84.86/12.48
% 84.86/12.48 cnf(c44, axiom,
% 84.86/12.48 distinct_lines(X27,X28) | ~convergent_lines(X27,X28)).
% 84.86/12.48 cnf(a30, assumption,
% 84.86/12.48 X6 = X27).
% 84.86/12.48 cnf(a31, assumption,
% 84.86/12.48 X4 = X28).
% 84.86/12.48 cnf(c45, plain,
% 84.86/12.48 $false,
% 84.86/12.48 inference(strict_predicate_extension, [assumptions([a30, a31])], [c38, c44])).
% 84.86/12.48 cnf(c46, plain,
% 84.86/12.48 ~convergent_lines(X27,X28),
% 84.86/12.48 inference(strict_predicate_extension, [assumptions([a30, a31])], [c38, c44])).
% 84.86/12.48
% 84.86/12.48 cnf(c47, plain,
% 84.86/12.48 convergent_lines(sK2,orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1))).
% 84.86/12.48 cnf(a32, assumption,
% 84.86/12.48 X27 = sK2).
% 84.86/12.48 cnf(a33, assumption,
% 84.86/12.48 X28 = orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1)).
% 84.86/12.48 cnf(c48, plain,
% 84.86/12.48 $false,
% 84.86/12.48 inference(predicate_reduction, [assumptions([a32, a33])], [c46, c47])).
% 84.86/12.48
% 84.86/12.48 cnf(c49, plain,
% 84.86/12.48 $false,
% 84.86/12.48 inference(constraint_solving, [
% 84.86/12.48 bind(X0, intersection_point(X1,X2)),
% 84.86/12.48 bind(X1, sK2),
% 84.86/12.48 bind(X2, orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1)),
% 84.86/12.48 bind(X3, intersection_point(X1,X2)),
% 84.86/12.48 bind(X4, orthogonal_through_point(X8,X9)),
% 84.86/12.48 bind(X5, orthogonal_through_point(X13,X14)),
% 84.86/12.48 bind(X6, sK2),
% 84.86/12.48 bind(X7, intersection_point(X1,X2)),
% 84.86/12.48 bind(X8, orthogonal_through_point(X13,X14)),
% 84.86/12.48 bind(X9, sK1),
% 84.86/12.48 bind(X10, orthogonal_through_point(X13,X14)),
% 84.86/12.48 bind(X11, sK2),
% 84.86/12.48 bind(X12, sK2),
% 84.86/12.48 bind(X13, sK2),
% 84.86/12.48 bind(X14, sK1),
% 84.86/12.48 bind(X15, sK2),
% 84.86/12.48 bind(X16, sK2),
% 84.86/12.48 bind(X17, sK2),
% 84.86/12.48 bind(X18, sK2),
% 84.86/12.48 bind(X19, orthogonal_through_point(X13,X14)),
% 84.86/12.48 bind(X20, orthogonal_through_point(X13,X14)),
% 84.86/12.48 bind(X21, orthogonal_through_point(X13,X14)),
% 84.86/12.48 bind(X22, orthogonal_through_point(X13,X14)),
% 84.86/12.48 bind(X23, sK2),
% 84.86/12.48 bind(X24, intersection_point(X1,X2)),
% 84.86/12.48 bind(X25, sK2),
% 84.86/12.48 bind(X26, orthogonal_through_point(X8,X9)),
% 84.86/12.48 bind(X27, sK2),
% 84.86/12.48 bind(X28, orthogonal_through_point(X8,X9))
% 84.86/12.48 ],
% 84.86/12.48 [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])).
% 84.86/12.48
% 84.86/12.48 % SZS output end IncompleteProof
%------------------------------------------------------------------------------