TSTP Solution File: GEO222+3 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : GEO222+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 : n028.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 0.19s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GEO222+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.12/0.33 % Computer : n028.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 11:03:29 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.40 % SZS status Theorem
% 0.19/0.40 % SZS output begin IncompleteProof
% 0.19/0.40 cnf(c0, axiom,
% 0.19/0.40 ~parallel_lines(sK3,orthogonal_through_point(orthogonal_through_point(sK3,sK2),sK2))).
% 0.19/0.40 cnf(c1, plain,
% 0.19/0.40 ~parallel_lines(sK3,orthogonal_through_point(orthogonal_through_point(sK3,sK2),sK2)),
% 0.19/0.40 inference(start, [], [c0])).
% 0.19/0.40
% 0.19/0.40 cnf(c2, axiom,
% 0.19/0.40 parallel_lines(X0,X1) | convergent_lines(X0,X1)).
% 0.19/0.40 cnf(a0, assumption,
% 0.19/0.40 sK3 = X0).
% 0.19/0.40 cnf(a1, assumption,
% 0.19/0.40 orthogonal_through_point(orthogonal_through_point(sK3,sK2),sK2) = X1).
% 0.19/0.40 cnf(c3, plain,
% 0.19/0.40 $false,
% 0.19/0.40 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 0.19/0.40 cnf(c4, plain,
% 0.19/0.40 convergent_lines(X0,X1),
% 0.19/0.40 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 0.19/0.40
% 0.19/0.40 cnf(c5, axiom,
% 0.19/0.40 ~convergent_lines(X2,X3) | unorthogonal_lines(X4,X3) | unorthogonal_lines(X4,X2)).
% 0.19/0.40 cnf(a2, assumption,
% 0.19/0.40 X0 = X2).
% 0.19/0.40 cnf(a3, assumption,
% 0.19/0.40 X1 = X3).
% 0.19/0.40 cnf(c6, plain,
% 0.19/0.40 $false,
% 0.19/0.40 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])).
% 0.19/0.40 cnf(c7, plain,
% 0.19/0.40 unorthogonal_lines(X4,X3) | unorthogonal_lines(X4,X2),
% 0.19/0.40 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])).
% 0.19/0.40
% 0.19/0.40 cnf(c8, axiom,
% 0.19/0.40 ~unorthogonal_lines(X5,X6) | ~convergent_lines(X5,X6) | convergent_lines(X7,X6) | sP1(X5,X7)).
% 0.19/0.40 cnf(a4, assumption,
% 0.19/0.40 X4 = X5).
% 0.19/0.40 cnf(a5, assumption,
% 0.19/0.40 X3 = X6).
% 0.19/0.40 cnf(c9, plain,
% 0.19/0.40 unorthogonal_lines(X4,X2),
% 0.19/0.40 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])).
% 0.19/0.40 cnf(c10, plain,
% 0.19/0.40 ~convergent_lines(X5,X6) | convergent_lines(X7,X6) | sP1(X5,X7),
% 0.19/0.40 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])).
% 0.19/0.40
% 0.19/0.40 cnf(c11, axiom,
% 0.19/0.40 convergent_lines(X8,X9) | convergent_lines(X10,X9) | ~convergent_lines(X10,X8)).
% 0.19/0.40 cnf(a6, assumption,
% 0.19/0.40 X5 = X8).
% 0.19/0.40 cnf(a7, assumption,
% 0.19/0.40 X6 = X9).
% 0.19/0.40 cnf(c12, plain,
% 0.19/0.40 convergent_lines(X7,X6) | sP1(X5,X7),
% 0.19/0.40 inference(strict_predicate_extension, [assumptions([a6, a7])], [c10, c11])).
% 0.19/0.40 cnf(c13, plain,
% 0.19/0.40 convergent_lines(X10,X9) | ~convergent_lines(X10,X8),
% 0.19/0.40 inference(strict_predicate_extension, [assumptions([a6, a7])], [c10, c11])).
% 0.19/0.40
% 0.19/0.40 cnf(c14, axiom,
% 0.19/0.40 ~convergent_lines(X11,X11)).
% 0.19/0.40 cnf(a8, assumption,
% 0.19/0.40 X10 = X11).
% 0.19/0.40 cnf(a9, assumption,
% 0.19/0.40 X9 = X11).
% 0.19/0.40 cnf(c15, plain,
% 0.19/0.40 ~convergent_lines(X10,X8),
% 0.19/0.40 inference(strict_predicate_extension, [assumptions([a8, a9])], [c13, c14])).
% 0.19/0.40 cnf(c16, plain,
% 0.19/0.40 $false,
% 0.19/0.40 inference(strict_predicate_extension, [assumptions([a8, a9])], [c13, c14])).
% 0.19/0.40
% 0.19/0.40 cnf(c17, axiom,
% 0.19/0.40 unorthogonal_lines(X12,X13) | convergent_lines(X12,X13)).
% 0.19/0.40 cnf(a10, assumption,
% 0.19/0.40 X10 = X12).
% 0.19/0.40 cnf(a11, assumption,
% 0.19/0.40 X8 = X13).
% 0.19/0.40 cnf(c18, plain,
% 0.19/0.40 $false,
% 0.19/0.40 inference(strict_predicate_extension, [assumptions([a10, a11])], [c15, c17])).
% 0.19/0.40 cnf(c19, plain,
% 0.19/0.40 unorthogonal_lines(X12,X13),
% 0.19/0.40 inference(strict_predicate_extension, [assumptions([a10, a11])], [c15, c17])).
% 0.19/0.40
% 0.19/0.40 cnf(c20, axiom,
% 0.19/0.40 ~unorthogonal_lines(orthogonal_through_point(X14,X15),X14)).
% 0.19/0.40 cnf(a12, assumption,
% 0.19/0.40 X12 = orthogonal_through_point(X14,X15)).
% 0.19/0.40 cnf(a13, assumption,
% 0.19/0.40 X13 = X14).
% 0.19/0.40 cnf(c21, plain,
% 0.19/0.40 $false,
% 0.19/0.40 inference(strict_predicate_extension, [assumptions([a12, a13])], [c19, c20])).
% 0.19/0.40 cnf(c22, plain,
% 0.19/0.40 $false,
% 0.19/0.40 inference(strict_predicate_extension, [assumptions([a12, a13])], [c19, c20])).
% 0.19/0.40
% 0.19/0.40 cnf(c23, plain,
% 0.19/0.40 ~convergent_lines(X10,X9)).
% 0.19/0.40 cnf(a14, assumption,
% 0.19/0.40 X7 = X10).
% 0.19/0.40 cnf(a15, assumption,
% 0.19/0.40 X6 = X9).
% 0.19/0.40 cnf(c24, plain,
% 0.19/0.40 sP1(X5,X7),
% 0.19/0.40 inference(predicate_reduction, [assumptions([a14, a15])], [c12, c23])).
% 0.19/0.40
% 0.19/0.40 cnf(c25, axiom,
% 0.19/0.40 unorthogonal_lines(X16,X17) | ~sP1(X17,X16)).
% 0.19/0.40 cnf(a16, assumption,
% 0.19/0.40 X5 = X17).
% 0.19/0.40 cnf(a17, assumption,
% 0.19/0.40 X7 = X16).
% 0.19/0.40 cnf(c26, plain,
% 0.19/0.40 $false,
% 0.19/0.40 inference(strict_predicate_extension, [assumptions([a16, a17])], [c24, c25])).
% 0.19/0.40 cnf(c27, plain,
% 0.19/0.40 unorthogonal_lines(X16,X17),
% 0.19/0.40 inference(strict_predicate_extension, [assumptions([a16, a17])], [c24, c25])).
% 0.19/0.40
% 0.19/0.40 cnf(c28, plain,
% 0.19/0.40 ~unorthogonal_lines(X12,X13)).
% 0.19/0.40 cnf(a18, assumption,
% 0.19/0.40 X16 = X12).
% 0.19/0.40 cnf(a19, assumption,
% 0.19/0.40 X17 = X13).
% 0.19/0.40 cnf(c29, plain,
% 0.19/0.40 $false,
% 0.19/0.40 inference(predicate_reduction, [assumptions([a18, a19])], [c27, c28])).
% 0.19/0.40
% 0.19/0.40 cnf(c30, axiom,
% 0.19/0.40 ~unorthogonal_lines(orthogonal_through_point(X18,X19),X18)).
% 0.19/0.40 cnf(a20, assumption,
% 0.19/0.40 X4 = orthogonal_through_point(X18,X19)).
% 0.19/0.40 cnf(a21, assumption,
% 0.19/0.40 X2 = X18).
% 0.19/0.40 cnf(c31, plain,
% 0.19/0.40 $false,
% 0.19/0.40 inference(strict_predicate_extension, [assumptions([a20, a21])], [c9, c30])).
% 0.19/0.40 cnf(c32, plain,
% 0.19/0.40 $false,
% 0.19/0.40 inference(strict_predicate_extension, [assumptions([a20, a21])], [c9, c30])).
% 0.19/0.40
% 0.19/0.40 cnf(c33, plain,
% 0.19/0.40 $false,
% 0.19/0.40 inference(constraint_solving, [
% 0.19/0.40 bind(X0, sK3),
% 0.19/0.40 bind(X1, orthogonal_through_point(orthogonal_through_point(sK3,sK2),sK2)),
% 0.19/0.40 bind(X2, sK3),
% 0.19/0.40 bind(X3, orthogonal_through_point(orthogonal_through_point(sK3,sK2),sK2)),
% 0.19/0.40 bind(X4, orthogonal_through_point(sK3,sK2)),
% 0.19/0.40 bind(X5, orthogonal_through_point(sK3,sK2)),
% 0.19/0.40 bind(X6, orthogonal_through_point(orthogonal_through_point(sK3,sK2),sK2)),
% 0.19/0.40 bind(X7, orthogonal_through_point(orthogonal_through_point(sK3,sK2),sK2)),
% 0.19/0.40 bind(X8, orthogonal_through_point(sK3,sK2)),
% 0.19/0.40 bind(X9, orthogonal_through_point(orthogonal_through_point(sK3,sK2),sK2)),
% 0.19/0.40 bind(X10, orthogonal_through_point(orthogonal_through_point(sK3,sK2),sK2)),
% 0.19/0.40 bind(X11, orthogonal_through_point(orthogonal_through_point(sK3,sK2),sK2)),
% 0.19/0.40 bind(X12, orthogonal_through_point(orthogonal_through_point(sK3,sK2),sK2)),
% 0.19/0.40 bind(X13, orthogonal_through_point(sK3,sK2)),
% 0.19/0.40 bind(X14, orthogonal_through_point(sK3,sK2)),
% 0.19/0.40 bind(X15, sK2),
% 0.19/0.40 bind(X16, orthogonal_through_point(orthogonal_through_point(sK3,sK2),sK2)),
% 0.19/0.40 bind(X17, orthogonal_through_point(sK3,sK2)),
% 0.19/0.40 bind(X18, sK3),
% 0.19/0.40 bind(X19, sK2)
% 0.19/0.40 ],
% 0.19/0.40 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20, a21])).
% 0.19/0.40
% 0.19/0.40 % SZS output end IncompleteProof
%------------------------------------------------------------------------------