TSTP Solution File: GEO222+1 by lazyCoP---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : GEO222+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 : n016.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 85.50s 11.49s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO222+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jun 17 21:19:51 EDT 2022
% 0.13/0.34 % CPUTime :
% 85.50/11.49 % SZS status Theorem
% 85.50/11.49 % SZS output begin IncompleteProof
% 85.50/11.49 cnf(c0, axiom,
% 85.50/11.49 convergent_lines(sK2,orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1))).
% 85.50/11.49 cnf(c1, plain,
% 85.50/11.49 convergent_lines(sK2,orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1)),
% 85.50/11.49 inference(start, [], [c0])).
% 85.50/11.49
% 85.50/11.49 cnf(c2, axiom,
% 85.50/11.49 ~apart_point_and_line(intersection_point(X0,X1),X1) | ~convergent_lines(X0,X1)).
% 85.50/11.49 cnf(a0, assumption,
% 85.50/11.49 sK2 = X0).
% 85.50/11.49 cnf(a1, assumption,
% 85.50/11.49 orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1) = X1).
% 85.50/11.49 cnf(c3, plain,
% 85.50/11.49 $false,
% 85.50/11.49 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 85.50/11.49 cnf(c4, plain,
% 85.50/11.49 ~apart_point_and_line(intersection_point(X0,X1),X1),
% 85.50/11.49 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 85.50/11.49
% 85.50/11.49 cnf(c5, axiom,
% 85.50/11.49 unorthogonal_lines(X2,X3) | unorthogonal_lines(X4,X3) | apart_point_and_line(X5,X2) | apart_point_and_line(X5,X4) | ~distinct_lines(X4,X2)).
% 85.50/11.49 cnf(a2, assumption,
% 85.50/11.49 intersection_point(X0,X1) = X5).
% 85.50/11.49 cnf(a3, assumption,
% 85.50/11.49 X1 = X4).
% 85.50/11.49 cnf(c6, plain,
% 85.50/11.49 $false,
% 85.50/11.49 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])).
% 85.50/11.49 cnf(c7, plain,
% 85.50/11.49 unorthogonal_lines(X2,X3) | unorthogonal_lines(X4,X3) | apart_point_and_line(X5,X2) | ~distinct_lines(X4,X2),
% 85.50/11.49 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])).
% 85.50/11.49
% 85.50/11.49 cnf(c8, axiom,
% 85.50/11.49 unorthogonal_lines(X6,X7) | sP0(X7,X8) | ~unorthogonal_lines(X8,X6) | ~convergent_lines(X8,X6)).
% 85.50/11.49 cnf(a4, assumption,
% 85.50/11.49 X2 = X8).
% 85.50/11.49 cnf(a5, assumption,
% 85.50/11.49 X3 = X6).
% 85.50/11.49 cnf(c9, plain,
% 85.50/11.49 unorthogonal_lines(X4,X3) | apart_point_and_line(X5,X2) | ~distinct_lines(X4,X2),
% 85.50/11.49 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])).
% 85.50/11.49 cnf(c10, plain,
% 85.50/11.49 unorthogonal_lines(X6,X7) | sP0(X7,X8) | ~convergent_lines(X8,X6),
% 85.50/11.49 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])).
% 85.50/11.49
% 85.50/11.49 cnf(c11, axiom,
% 85.50/11.49 ~unorthogonal_lines(orthogonal_through_point(X9,X10),X9)).
% 85.50/11.49 cnf(a6, assumption,
% 85.50/11.49 X6 = orthogonal_through_point(X9,X10)).
% 85.50/11.49 cnf(a7, assumption,
% 85.50/11.49 X7 = X9).
% 85.50/11.49 cnf(c12, plain,
% 85.50/11.49 sP0(X7,X8) | ~convergent_lines(X8,X6),
% 85.50/11.49 inference(strict_predicate_extension, [assumptions([a6, a7])], [c10, c11])).
% 85.50/11.49 cnf(c13, plain,
% 85.50/11.49 $false,
% 85.50/11.49 inference(strict_predicate_extension, [assumptions([a6, a7])], [c10, c11])).
% 85.50/11.49
% 85.50/11.49 cnf(c14, axiom,
% 85.50/11.49 convergent_lines(X11,X12) | ~sP0(X12,X11)).
% 85.50/11.49 cnf(a8, assumption,
% 85.50/11.49 X7 = X12).
% 85.50/11.49 cnf(a9, assumption,
% 85.50/11.49 X8 = X11).
% 85.50/11.49 cnf(c15, plain,
% 85.50/11.49 ~convergent_lines(X8,X6),
% 85.50/11.49 inference(strict_predicate_extension, [assumptions([a8, a9])], [c12, c14])).
% 85.50/11.49 cnf(c16, plain,
% 85.50/11.49 convergent_lines(X11,X12),
% 85.50/11.49 inference(strict_predicate_extension, [assumptions([a8, a9])], [c12, c14])).
% 85.50/11.49
% 85.50/11.49 cnf(c17, axiom,
% 85.50/11.49 ~convergent_lines(X13,X13)).
% 85.50/11.49 cnf(a10, assumption,
% 85.50/11.49 X11 = X13).
% 85.50/11.49 cnf(a11, assumption,
% 85.50/11.49 X12 = X13).
% 85.50/11.49 cnf(c18, plain,
% 85.50/11.49 $false,
% 85.50/11.49 inference(strict_predicate_extension, [assumptions([a10, a11])], [c16, c17])).
% 85.50/11.49 cnf(c19, plain,
% 85.50/11.49 $false,
% 85.50/11.49 inference(strict_predicate_extension, [assumptions([a10, a11])], [c16, c17])).
% 85.50/11.49
% 85.50/11.49 cnf(c20, axiom,
% 85.50/11.49 convergent_lines(X14,X15) | convergent_lines(X16,X15) | ~convergent_lines(X16,X14)).
% 85.50/11.49 cnf(a12, assumption,
% 85.50/11.49 X8 = X14).
% 85.50/11.49 cnf(a13, assumption,
% 85.50/11.49 X6 = X15).
% 85.50/11.49 cnf(c21, plain,
% 85.50/11.49 $false,
% 85.50/11.49 inference(strict_predicate_extension, [assumptions([a12, a13])], [c15, c20])).
% 85.50/11.49 cnf(c22, plain,
% 85.50/11.49 convergent_lines(X16,X15) | ~convergent_lines(X16,X14),
% 85.50/11.49 inference(strict_predicate_extension, [assumptions([a12, a13])], [c15, c20])).
% 85.50/11.49
% 85.50/11.49 cnf(c23, axiom,
% 85.50/11.49 ~convergent_lines(X17,X17)).
% 85.50/11.49 cnf(a14, assumption,
% 85.50/11.49 X16 = X17).
% 85.50/11.49 cnf(a15, assumption,
% 85.50/11.49 X15 = X17).
% 85.50/11.49 cnf(c24, plain,
% 85.50/11.49 ~convergent_lines(X16,X14),
% 85.50/11.49 inference(strict_predicate_extension, [assumptions([a14, a15])], [c22, c23])).
% 85.50/11.49 cnf(c25, plain,
% 85.50/11.49 $false,
% 85.50/11.49 inference(strict_predicate_extension, [assumptions([a14, a15])], [c22, c23])).
% 85.50/11.49
% 85.50/11.49 cnf(c26, axiom,
% 85.50/11.49 unorthogonal_lines(X18,X19) | convergent_lines(X18,X19)).
% 85.50/11.49 cnf(a16, assumption,
% 85.50/11.49 X16 = X18).
% 85.50/11.49 cnf(a17, assumption,
% 85.50/11.49 X14 = X19).
% 85.50/11.49 cnf(c27, plain,
% 85.50/11.49 $false,
% 85.50/11.49 inference(strict_predicate_extension, [assumptions([a16, a17])], [c24, c26])).
% 85.50/11.49 cnf(c28, plain,
% 85.50/11.49 unorthogonal_lines(X18,X19),
% 85.50/11.49 inference(strict_predicate_extension, [assumptions([a16, a17])], [c24, c26])).
% 85.50/11.49
% 85.50/11.49 cnf(c29, plain,
% 85.50/11.49 ~unorthogonal_lines(X6,X7)).
% 85.50/11.49 cnf(a18, assumption,
% 85.50/11.49 X18 = X6).
% 85.50/11.49 cnf(a19, assumption,
% 85.50/11.49 X19 = X7).
% 85.50/11.49 cnf(c30, plain,
% 85.50/11.49 $false,
% 85.50/11.49 inference(predicate_reduction, [assumptions([a18, a19])], [c28, c29])).
% 85.50/11.49
% 85.50/11.49 cnf(c31, axiom,
% 85.50/11.49 ~unorthogonal_lines(orthogonal_through_point(X20,X21),X20)).
% 85.50/11.49 cnf(a20, assumption,
% 85.50/11.49 X4 = orthogonal_through_point(X20,X21)).
% 85.50/11.49 cnf(a21, assumption,
% 85.50/11.49 X3 = X20).
% 85.50/11.49 cnf(c32, plain,
% 85.50/11.49 apart_point_and_line(X5,X2) | ~distinct_lines(X4,X2),
% 85.50/11.49 inference(strict_predicate_extension, [assumptions([a20, a21])], [c9, c31])).
% 85.50/11.49 cnf(c33, plain,
% 85.50/11.49 $false,
% 85.50/11.49 inference(strict_predicate_extension, [assumptions([a20, a21])], [c9, c31])).
% 85.50/11.49
% 85.50/11.49 cnf(c34, axiom,
% 85.50/11.49 ~apart_point_and_line(intersection_point(X22,X23),X22) | ~convergent_lines(X22,X23)).
% 85.50/11.49 cnf(a22, assumption,
% 85.50/11.49 X5 = intersection_point(X22,X23)).
% 85.50/11.49 cnf(a23, assumption,
% 85.50/11.49 X2 = X22).
% 85.50/11.49 cnf(c35, plain,
% 85.50/11.49 ~distinct_lines(X4,X2),
% 85.50/11.49 inference(strict_predicate_extension, [assumptions([a22, a23])], [c32, c34])).
% 85.50/11.49 cnf(c36, plain,
% 85.50/11.49 ~convergent_lines(X22,X23),
% 85.50/11.49 inference(strict_predicate_extension, [assumptions([a22, a23])], [c32, c34])).
% 85.50/11.49
% 85.50/11.49 cnf(c37, plain,
% 85.50/11.49 convergent_lines(sK2,orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1))).
% 85.50/11.49 cnf(a24, assumption,
% 85.50/11.49 X22 = sK2).
% 85.50/11.49 cnf(a25, assumption,
% 85.50/11.49 X23 = orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1)).
% 85.50/11.49 cnf(c38, plain,
% 85.50/11.49 $false,
% 85.50/11.49 inference(predicate_reduction, [assumptions([a24, a25])], [c36, c37])).
% 85.50/11.49
% 85.50/11.49 cnf(c39, axiom,
% 85.50/11.49 convergent_lines(X24,X25) | distinct_lines(X26,X25) | ~convergent_lines(X24,X26)).
% 85.50/11.49 cnf(a26, assumption,
% 85.50/11.49 X4 = X26).
% 85.50/11.49 cnf(a27, assumption,
% 85.50/11.49 X2 = X25).
% 85.50/11.49 cnf(c40, plain,
% 85.50/11.49 $false,
% 85.50/11.49 inference(strict_predicate_extension, [assumptions([a26, a27])], [c35, c39])).
% 85.50/11.49 cnf(c41, plain,
% 85.50/11.49 convergent_lines(X24,X25) | ~convergent_lines(X24,X26),
% 85.50/11.49 inference(strict_predicate_extension, [assumptions([a26, a27])], [c35, c39])).
% 85.50/11.49
% 85.50/11.49 cnf(c42, plain,
% 85.50/11.49 ~convergent_lines(X11,X12)).
% 85.50/11.49 cnf(a28, assumption,
% 85.50/11.49 X24 = X11).
% 85.50/11.49 cnf(a29, assumption,
% 85.50/11.49 X25 = X12).
% 85.50/11.49 cnf(c43, plain,
% 85.50/11.49 ~convergent_lines(X24,X26),
% 85.50/11.49 inference(predicate_reduction, [assumptions([a28, a29])], [c41, c42])).
% 85.50/11.49
% 85.50/11.49 cnf(c44, plain,
% 85.50/11.49 convergent_lines(sK2,orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1))).
% 85.50/11.49 cnf(a30, assumption,
% 85.50/11.49 X24 = sK2).
% 85.50/11.49 cnf(a31, assumption,
% 85.50/11.49 X26 = orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1)).
% 85.50/11.49 cnf(c45, plain,
% 85.50/11.49 $false,
% 85.50/11.49 inference(predicate_reduction, [assumptions([a30, a31])], [c43, c44])).
% 85.50/11.49
% 85.50/11.49 cnf(c46, plain,
% 85.50/11.49 $false,
% 85.50/11.49 inference(constraint_solving, [
% 85.50/11.49 bind(X0, sK2),
% 85.50/11.49 bind(X1, orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1)),
% 85.50/11.49 bind(X2, sK2),
% 85.50/11.49 bind(X3, orthogonal_through_point(X9,X10)),
% 85.50/11.49 bind(X4, orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1)),
% 85.50/11.49 bind(X5, intersection_point(X0,X1)),
% 85.50/11.49 bind(X6, orthogonal_through_point(X9,X10)),
% 85.50/11.49 bind(X7, sK2),
% 85.50/11.49 bind(X8, sK2),
% 85.50/11.49 bind(X9, sK2),
% 85.50/11.49 bind(X10, sK1),
% 85.50/11.49 bind(X11, sK2),
% 85.50/11.49 bind(X12, sK2),
% 85.50/11.49 bind(X13, sK2),
% 85.50/11.49 bind(X14, sK2),
% 85.50/11.49 bind(X15, orthogonal_through_point(X9,X10)),
% 85.50/11.49 bind(X16, orthogonal_through_point(X9,X10)),
% 85.50/11.49 bind(X17, orthogonal_through_point(X9,X10)),
% 85.50/11.49 bind(X18, orthogonal_through_point(X9,X10)),
% 85.50/11.49 bind(X19, sK2),
% 85.50/11.49 bind(X20, orthogonal_through_point(sK2,sK1)),
% 85.50/11.49 bind(X21, sK1),
% 85.50/11.49 bind(X22, sK2),
% 85.50/11.49 bind(X23, orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1)),
% 85.50/11.49 bind(X24, sK2),
% 85.50/11.49 bind(X25, sK2),
% 85.50/11.49 bind(X26, orthogonal_through_point(orthogonal_through_point(sK2,sK1),sK1))
% 85.50/11.49 ],
% 85.50/11.49 [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])).
% 85.50/11.49
% 85.50/11.49 % SZS output end IncompleteProof
%------------------------------------------------------------------------------