TSTP Solution File: GEO204+3 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : GEO204+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 : n026.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 04:59:56 EDT 2022
% Result : Theorem 206.89s 30.14s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GEO204+3 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.12/0.33 % Computer : n026.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 14:27:09 EDT 2022
% 0.12/0.33 % CPUTime :
% 206.89/30.14 % SZS status Theorem
% 206.89/30.14 % SZS output begin IncompleteProof
% 206.89/30.14 cnf(c0, axiom,
% 206.89/30.14 distinct_points(sK2,sK3)).
% 206.89/30.14 cnf(c1, plain,
% 206.89/30.14 distinct_points(sK2,sK3),
% 206.89/30.14 inference(start, [], [c0])).
% 206.89/30.14
% 206.89/30.14 cnf(c2, axiom,
% 206.89/30.14 ~apart_point_and_line(X0,line_connecting(X1,X0)) | ~distinct_points(X1,X0)).
% 206.89/30.14 cnf(a0, assumption,
% 206.89/30.14 sK2 = X1).
% 206.89/30.14 cnf(a1, assumption,
% 206.89/30.14 sK3 = X0).
% 206.89/30.14 cnf(c3, plain,
% 206.89/30.14 $false,
% 206.89/30.14 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 206.89/30.14 cnf(c4, plain,
% 206.89/30.14 ~apart_point_and_line(X0,line_connecting(X1,X0)),
% 206.89/30.14 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 206.89/30.14
% 206.89/30.14 cnf(c5, axiom,
% 206.89/30.14 apart_point_and_line(X2,X3) | apart_point_and_line(X2,X4) | apart_point_and_line(X5,X3) | apart_point_and_line(X5,X4) | ~distinct_lines(X4,X3) | ~distinct_points(X5,X2)).
% 206.89/30.14 cnf(a2, assumption,
% 206.89/30.14 X0 = X2).
% 206.89/30.14 cnf(a3, assumption,
% 206.89/30.14 line_connecting(X1,X0) = X4).
% 206.89/30.14 cnf(c6, plain,
% 206.89/30.14 $false,
% 206.89/30.14 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])).
% 206.89/30.14 cnf(c7, plain,
% 206.89/30.14 apart_point_and_line(X2,X3) | apart_point_and_line(X5,X3) | apart_point_and_line(X5,X4) | ~distinct_lines(X4,X3) | ~distinct_points(X5,X2),
% 206.89/30.14 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])).
% 206.89/30.14
% 206.89/30.14 cnf(c8, axiom,
% 206.89/30.14 ~apart_point_and_line(X6,parallel_through_point(X7,X6))).
% 206.89/30.14 cnf(a4, assumption,
% 206.89/30.14 X2 = X6).
% 206.89/30.14 cnf(a5, assumption,
% 206.89/30.14 X3 = parallel_through_point(X7,X6)).
% 206.89/30.14 cnf(c9, plain,
% 206.89/30.14 apart_point_and_line(X5,X3) | apart_point_and_line(X5,X4) | ~distinct_lines(X4,X3) | ~distinct_points(X5,X2),
% 206.89/30.14 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])).
% 206.89/30.14 cnf(c10, plain,
% 206.89/30.14 $false,
% 206.89/30.14 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])).
% 206.89/30.14
% 206.89/30.14 cnf(c11, axiom,
% 206.89/30.14 apart_point_and_line(X8,X9) | distinct_lines(X10,X9) | ~apart_point_and_line(X8,X10)).
% 206.89/30.14 cnf(a6, assumption,
% 206.89/30.14 X5 = X8).
% 206.89/30.14 cnf(a7, assumption,
% 206.89/30.14 X3 = X10).
% 206.89/30.14 cnf(c12, plain,
% 206.89/30.14 apart_point_and_line(X5,X4) | ~distinct_lines(X4,X3) | ~distinct_points(X5,X2),
% 206.89/30.14 inference(strict_predicate_extension, [assumptions([a6, a7])], [c9, c11])).
% 206.89/30.14 cnf(c13, plain,
% 206.89/30.14 apart_point_and_line(X8,X9) | distinct_lines(X10,X9),
% 206.89/30.14 inference(strict_predicate_extension, [assumptions([a6, a7])], [c9, c11])).
% 206.89/30.14
% 206.89/30.14 cnf(c14, axiom,
% 206.89/30.14 ~apart_point_and_line(X11,orthogonal_through_point(X12,X11))).
% 206.89/30.14 cnf(a8, assumption,
% 206.89/30.14 X8 = X11).
% 206.89/30.14 cnf(a9, assumption,
% 206.89/30.14 X9 = orthogonal_through_point(X12,X11)).
% 206.89/30.14 cnf(c15, plain,
% 206.89/30.14 distinct_lines(X10,X9),
% 206.89/30.14 inference(strict_predicate_extension, [assumptions([a8, a9])], [c13, c14])).
% 206.89/30.14 cnf(c16, plain,
% 206.89/30.14 $false,
% 206.89/30.14 inference(strict_predicate_extension, [assumptions([a8, a9])], [c13, c14])).
% 206.89/30.14
% 206.89/30.14 cnf(c17, axiom,
% 206.89/30.14 convergent_lines(X13,X14) | ~distinct_lines(X13,X14)).
% 206.89/30.14 cnf(a10, assumption,
% 206.89/30.14 X10 = X13).
% 206.89/30.14 cnf(a11, assumption,
% 206.89/30.14 X9 = X14).
% 206.89/30.14 cnf(c18, plain,
% 206.89/30.14 $false,
% 206.89/30.14 inference(strict_predicate_extension, [assumptions([a10, a11])], [c15, c17])).
% 206.89/30.14 cnf(c19, plain,
% 206.89/30.14 convergent_lines(X13,X14),
% 206.89/30.14 inference(strict_predicate_extension, [assumptions([a10, a11])], [c15, c17])).
% 206.89/30.14
% 206.89/30.14 cnf(c20, axiom,
% 206.89/30.14 ~convergent_lines(parallel_through_point(X15,X16),X15)).
% 206.89/30.14 cnf(a12, assumption,
% 206.89/30.14 X13 = parallel_through_point(X15,X16)).
% 206.89/30.14 cnf(a13, assumption,
% 206.89/30.14 X14 = X15).
% 206.89/30.14 cnf(c21, plain,
% 206.89/30.14 $false,
% 206.89/30.14 inference(strict_predicate_extension, [assumptions([a12, a13])], [c19, c20])).
% 206.89/30.14 cnf(c22, plain,
% 206.89/30.14 $false,
% 206.89/30.14 inference(strict_predicate_extension, [assumptions([a12, a13])], [c19, c20])).
% 206.89/30.14
% 206.89/30.14 cnf(c23, axiom,
% 206.89/30.14 ~apart_point_and_line(X17,line_connecting(X17,X18)) | ~distinct_points(X17,X18)).
% 206.89/30.14 cnf(a14, assumption,
% 206.89/30.14 X5 = X17).
% 206.89/30.14 cnf(a15, assumption,
% 206.89/30.14 X4 = line_connecting(X17,X18)).
% 206.89/30.14 cnf(c24, plain,
% 206.89/30.14 ~distinct_lines(X4,X3) | ~distinct_points(X5,X2),
% 206.89/30.14 inference(strict_predicate_extension, [assumptions([a14, a15])], [c12, c23])).
% 206.89/30.14 cnf(c25, plain,
% 206.89/30.14 ~distinct_points(X17,X18),
% 206.89/30.14 inference(strict_predicate_extension, [assumptions([a14, a15])], [c12, c23])).
% 206.89/30.14
% 206.89/30.14 cnf(c26, plain,
% 206.89/30.14 distinct_points(sK2,sK3)).
% 206.89/30.14 cnf(a16, assumption,
% 206.89/30.14 X17 = sK2).
% 206.89/30.14 cnf(a17, assumption,
% 206.89/30.14 X18 = sK3).
% 206.89/30.14 cnf(c27, plain,
% 206.89/30.14 $false,
% 206.89/30.14 inference(predicate_reduction, [assumptions([a16, a17])], [c25, c26])).
% 206.89/30.14
% 206.89/30.14 cnf(c28, axiom,
% 206.89/30.14 convergent_lines(X19,X20) | distinct_lines(X21,X20) | ~convergent_lines(X19,X21)).
% 206.89/30.14 cnf(a18, assumption,
% 206.89/30.14 X4 = X21).
% 206.89/30.14 cnf(a19, assumption,
% 206.89/30.14 X3 = X20).
% 206.89/30.14 cnf(c29, plain,
% 206.89/30.14 ~distinct_points(X5,X2),
% 206.89/30.14 inference(strict_predicate_extension, [assumptions([a18, a19])], [c24, c28])).
% 206.89/30.14 cnf(c30, plain,
% 206.89/30.14 convergent_lines(X19,X20) | ~convergent_lines(X19,X21),
% 206.89/30.14 inference(strict_predicate_extension, [assumptions([a18, a19])], [c24, c28])).
% 206.89/30.14
% 206.89/30.14 cnf(c31, axiom,
% 206.89/30.14 convergent_lines(X22,X23) | distinct_lines(X24,X23) | ~convergent_lines(X22,X24)).
% 206.89/30.14 cnf(a20, assumption,
% 206.89/30.14 X19 = X22).
% 206.89/30.14 cnf(a21, assumption,
% 206.89/30.14 X20 = X24).
% 206.89/30.14 cnf(c32, plain,
% 206.89/30.14 ~convergent_lines(X19,X21),
% 206.89/30.14 inference(strict_predicate_extension, [assumptions([a20, a21])], [c30, c31])).
% 206.89/30.14 cnf(c33, plain,
% 206.89/30.14 convergent_lines(X22,X23) | distinct_lines(X24,X23),
% 206.89/30.14 inference(strict_predicate_extension, [assumptions([a20, a21])], [c30, c31])).
% 206.89/30.14
% 206.89/30.14 cnf(c34, axiom,
% 206.89/30.14 ~convergent_lines(X25,X25)).
% 206.89/30.14 cnf(a22, assumption,
% 206.89/30.14 X22 = X25).
% 206.89/30.14 cnf(a23, assumption,
% 206.89/30.14 X23 = X25).
% 206.89/30.14 cnf(c35, plain,
% 206.89/30.14 distinct_lines(X24,X23),
% 206.89/30.14 inference(strict_predicate_extension, [assumptions([a22, a23])], [c33, c34])).
% 206.89/30.14 cnf(c36, plain,
% 206.89/30.14 $false,
% 206.89/30.14 inference(strict_predicate_extension, [assumptions([a22, a23])], [c33, c34])).
% 206.89/30.14
% 206.89/30.14 cnf(c37, plain,
% 206.89/30.14 ~distinct_lines(X10,X9)).
% 206.89/30.14 cnf(a24, assumption,
% 206.89/30.14 X24 = X10).
% 206.89/30.14 cnf(a25, assumption,
% 206.89/30.14 X23 = X9).
% 206.89/30.14 cnf(c38, plain,
% 206.89/30.14 $false,
% 206.89/30.14 inference(predicate_reduction, [assumptions([a24, a25])], [c35, c37])).
% 206.89/30.14
% 206.89/30.14 cnf(c39, axiom,
% 206.89/30.14 unorthogonal_lines(X26,X27) | convergent_lines(X26,X27)).
% 206.89/30.14 cnf(a26, assumption,
% 206.89/30.14 X19 = X26).
% 206.89/30.14 cnf(a27, assumption,
% 206.89/30.14 X21 = X27).
% 206.89/30.14 cnf(c40, plain,
% 206.89/30.14 $false,
% 206.89/30.14 inference(strict_predicate_extension, [assumptions([a26, a27])], [c32, c39])).
% 206.89/30.14 cnf(c41, plain,
% 206.89/30.14 unorthogonal_lines(X26,X27),
% 206.89/30.14 inference(strict_predicate_extension, [assumptions([a26, a27])], [c32, c39])).
% 206.89/30.14
% 206.89/30.14 cnf(c42, axiom,
% 206.89/30.14 ~unorthogonal_lines(orthogonal_through_point(X28,X29),X28)).
% 206.89/30.14 cnf(a28, assumption,
% 206.89/30.14 X26 = orthogonal_through_point(X28,X29)).
% 206.89/30.14 cnf(a29, assumption,
% 206.89/30.14 X27 = X28).
% 206.89/30.14 cnf(c43, plain,
% 206.89/30.14 $false,
% 206.89/30.14 inference(strict_predicate_extension, [assumptions([a28, a29])], [c41, c42])).
% 206.89/30.14 cnf(c44, plain,
% 206.89/30.14 $false,
% 206.89/30.14 inference(strict_predicate_extension, [assumptions([a28, a29])], [c41, c42])).
% 206.89/30.14
% 206.89/30.14 cnf(c45, plain,
% 206.89/30.14 distinct_points(sK2,sK3)).
% 206.89/30.14 cnf(a30, assumption,
% 206.89/30.14 X5 = sK2).
% 206.89/30.14 cnf(a31, assumption,
% 206.89/30.14 X2 = sK3).
% 206.89/30.14 cnf(c46, plain,
% 206.89/30.14 $false,
% 206.89/30.14 inference(predicate_reduction, [assumptions([a30, a31])], [c29, c45])).
% 206.89/30.14
% 206.89/30.14 cnf(c47, plain,
% 206.89/30.14 $false,
% 206.89/30.14 inference(constraint_solving, [
% 206.89/30.14 bind(X0, sK3),
% 206.89/30.14 bind(X1, sK2),
% 206.89/30.14 bind(X2, sK3),
% 206.89/30.14 bind(X3, parallel_through_point(X7,X6)),
% 206.89/30.14 bind(X4, line_connecting(X1,X0)),
% 206.89/30.14 bind(X5, sK2),
% 206.89/30.14 bind(X6, sK3),
% 206.89/30.14 bind(X7, orthogonal_through_point(X12,X11)),
% 206.89/30.14 bind(X8, sK2),
% 206.89/30.14 bind(X9, orthogonal_through_point(X12,X11)),
% 206.89/30.14 bind(X10, parallel_through_point(X7,X6)),
% 206.89/30.14 bind(X11, sK2),
% 206.89/30.14 bind(X12, line_connecting(X1,X0)),
% 206.89/30.14 bind(X13, parallel_through_point(X7,X6)),
% 206.89/30.14 bind(X14, orthogonal_through_point(X12,X11)),
% 206.89/30.14 bind(X15, orthogonal_through_point(X12,X11)),
% 206.89/30.14 bind(X16, sK3),
% 206.89/30.14 bind(X17, sK2),
% 206.89/30.14 bind(X18, sK3),
% 206.89/30.14 bind(X19, orthogonal_through_point(X12,X11)),
% 206.89/30.14 bind(X20, parallel_through_point(X7,X6)),
% 206.89/30.14 bind(X21, line_connecting(X1,X0)),
% 206.89/30.14 bind(X22, orthogonal_through_point(X12,X11)),
% 206.89/30.14 bind(X23, orthogonal_through_point(X12,X11)),
% 206.89/30.14 bind(X24, parallel_through_point(X7,X6)),
% 206.89/30.14 bind(X25, orthogonal_through_point(X12,X11)),
% 206.89/30.14 bind(X26, orthogonal_through_point(X12,X11)),
% 206.89/30.14 bind(X27, line_connecting(X1,X0)),
% 206.89/30.14 bind(X28, line_connecting(X1,X0)),
% 206.89/30.14 bind(X29, sK2)
% 206.89/30.14 ],
% 206.89/30.14 [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])).
% 206.89/30.14
% 206.89/30.14 % SZS output end IncompleteProof
%------------------------------------------------------------------------------