TSTP Solution File: GEO218+3 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : GEO218+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 : n020.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 05:00:07 EDT 2022
% Result : Theorem 21.86s 3.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : GEO218+3 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.15 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.15/0.37 % Computer : n020.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 600
% 0.15/0.37 % DateTime : Sat Jun 18 04:26:04 EDT 2022
% 0.15/0.37 % CPUTime :
% 21.86/3.44 % SZS status Theorem
% 21.86/3.44 % SZS output begin IncompleteProof
% 21.86/3.44 cnf(c0, axiom,
% 21.86/3.44 orthogonal_lines(sK2,sK4)).
% 21.86/3.44 cnf(c1, plain,
% 21.86/3.44 orthogonal_lines(sK2,sK4),
% 21.86/3.44 inference(start, [], [c0])).
% 21.86/3.44
% 21.86/3.44 cnf(c2, axiom,
% 21.86/3.44 ~unorthogonal_lines(X0,X1) | ~orthogonal_lines(X0,X1)).
% 21.86/3.44 cnf(a0, assumption,
% 21.86/3.44 sK2 = X0).
% 21.86/3.44 cnf(a1, assumption,
% 21.86/3.44 sK4 = X1).
% 21.86/3.44 cnf(c3, plain,
% 21.86/3.44 $false,
% 21.86/3.44 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 21.86/3.44 cnf(c4, plain,
% 21.86/3.44 ~unorthogonal_lines(X0,X1),
% 21.86/3.44 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 21.86/3.44
% 21.86/3.44 cnf(c5, axiom,
% 21.86/3.44 unorthogonal_lines(X2,X3) | convergent_lines(X2,X3)).
% 21.86/3.44 cnf(a2, assumption,
% 21.86/3.44 X0 = X2).
% 21.86/3.44 cnf(a3, assumption,
% 21.86/3.44 X1 = X3).
% 21.86/3.44 cnf(c6, plain,
% 21.86/3.44 $false,
% 21.86/3.44 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])).
% 21.86/3.44 cnf(c7, plain,
% 21.86/3.44 convergent_lines(X2,X3),
% 21.86/3.44 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])).
% 21.86/3.44
% 21.86/3.44 cnf(c8, axiom,
% 21.86/3.44 convergent_lines(X4,X5) | convergent_lines(X6,X5) | ~convergent_lines(X6,X4)).
% 21.86/3.44 cnf(a4, assumption,
% 21.86/3.44 X2 = X6).
% 21.86/3.44 cnf(a5, assumption,
% 21.86/3.44 X3 = X4).
% 21.86/3.44 cnf(c9, plain,
% 21.86/3.44 $false,
% 21.86/3.44 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])).
% 21.86/3.44 cnf(c10, plain,
% 21.86/3.44 convergent_lines(X4,X5) | convergent_lines(X6,X5),
% 21.86/3.44 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])).
% 21.86/3.44
% 21.86/3.44 cnf(c11, axiom,
% 21.86/3.44 convergent_lines(X7,X8) | convergent_lines(X9,X8) | ~convergent_lines(X9,X7)).
% 21.86/3.44 cnf(a6, assumption,
% 21.86/3.44 X4 = X9).
% 21.86/3.44 cnf(a7, assumption,
% 21.86/3.44 X5 = X7).
% 21.86/3.44 cnf(c12, plain,
% 21.86/3.44 convergent_lines(X6,X5),
% 21.86/3.44 inference(strict_predicate_extension, [assumptions([a6, a7])], [c10, c11])).
% 21.86/3.44 cnf(c13, plain,
% 21.86/3.44 convergent_lines(X7,X8) | convergent_lines(X9,X8),
% 21.86/3.44 inference(strict_predicate_extension, [assumptions([a6, a7])], [c10, c11])).
% 21.86/3.44
% 21.86/3.44 cnf(c14, axiom,
% 21.86/3.44 ~unorthogonal_lines(X10,X11) | ~convergent_lines(X10,X11) | unorthogonal_lines(X12,X11) | sP1(X10,X12)).
% 21.86/3.44 cnf(a8, assumption,
% 21.86/3.44 X7 = X10).
% 21.86/3.44 cnf(a9, assumption,
% 21.86/3.44 X8 = X11).
% 21.86/3.44 cnf(c15, plain,
% 21.86/3.44 convergent_lines(X9,X8),
% 21.86/3.44 inference(strict_predicate_extension, [assumptions([a8, a9])], [c13, c14])).
% 21.86/3.44 cnf(c16, plain,
% 21.86/3.44 ~unorthogonal_lines(X10,X11) | unorthogonal_lines(X12,X11) | sP1(X10,X12),
% 21.86/3.44 inference(strict_predicate_extension, [assumptions([a8, a9])], [c13, c14])).
% 21.86/3.44
% 21.86/3.44 cnf(c17, axiom,
% 21.86/3.44 orthogonal_lines(X13,X14) | unorthogonal_lines(X13,X14)).
% 21.86/3.44 cnf(a10, assumption,
% 21.86/3.44 X10 = X13).
% 21.86/3.44 cnf(a11, assumption,
% 21.86/3.44 X11 = X14).
% 21.86/3.44 cnf(c18, plain,
% 21.86/3.44 unorthogonal_lines(X12,X11) | sP1(X10,X12),
% 21.86/3.44 inference(strict_predicate_extension, [assumptions([a10, a11])], [c16, c17])).
% 21.86/3.44 cnf(c19, plain,
% 21.86/3.44 orthogonal_lines(X13,X14),
% 21.86/3.44 inference(strict_predicate_extension, [assumptions([a10, a11])], [c16, c17])).
% 21.86/3.44
% 21.86/3.44 cnf(c20, axiom,
% 21.86/3.44 ~orthogonal_lines(sK3,sK4)).
% 21.86/3.44 cnf(a12, assumption,
% 21.86/3.44 X13 = sK3).
% 21.86/3.44 cnf(a13, assumption,
% 21.86/3.44 X14 = sK4).
% 21.86/3.44 cnf(c21, plain,
% 21.86/3.44 $false,
% 21.86/3.44 inference(strict_predicate_extension, [assumptions([a12, a13])], [c19, c20])).
% 21.86/3.44 cnf(c22, plain,
% 21.86/3.44 $false,
% 21.86/3.44 inference(strict_predicate_extension, [assumptions([a12, a13])], [c19, c20])).
% 21.86/3.44
% 21.86/3.44 cnf(c23, plain,
% 21.86/3.44 ~unorthogonal_lines(X0,X1)).
% 21.86/3.44 cnf(a14, assumption,
% 21.86/3.44 X12 = X0).
% 21.86/3.44 cnf(a15, assumption,
% 21.86/3.44 X11 = X1).
% 21.86/3.44 cnf(c24, plain,
% 21.86/3.44 sP1(X10,X12),
% 21.86/3.44 inference(predicate_reduction, [assumptions([a14, a15])], [c18, c23])).
% 21.86/3.44
% 21.86/3.44 cnf(c25, axiom,
% 21.86/3.44 convergent_lines(X15,X16) | ~sP1(X16,X15)).
% 21.86/3.44 cnf(a16, assumption,
% 21.86/3.44 X10 = X16).
% 21.86/3.44 cnf(a17, assumption,
% 21.86/3.44 X12 = X15).
% 21.86/3.44 cnf(c26, plain,
% 21.86/3.44 $false,
% 21.86/3.44 inference(strict_predicate_extension, [assumptions([a16, a17])], [c24, c25])).
% 21.86/3.44 cnf(c27, plain,
% 21.86/3.44 convergent_lines(X15,X16),
% 21.86/3.44 inference(strict_predicate_extension, [assumptions([a16, a17])], [c24, c25])).
% 21.86/3.44
% 21.86/3.44 cnf(c28, axiom,
% 21.86/3.44 ~convergent_lines(X17,X18) | ~parallel_lines(X17,X18)).
% 21.86/3.44 cnf(a18, assumption,
% 21.86/3.44 X15 = X17).
% 21.86/3.44 cnf(a19, assumption,
% 21.86/3.44 X16 = X18).
% 21.86/3.44 cnf(c29, plain,
% 21.86/3.44 $false,
% 21.86/3.44 inference(strict_predicate_extension, [assumptions([a18, a19])], [c27, c28])).
% 21.86/3.44 cnf(c30, plain,
% 21.86/3.44 ~parallel_lines(X17,X18),
% 21.86/3.44 inference(strict_predicate_extension, [assumptions([a18, a19])], [c27, c28])).
% 21.86/3.44
% 21.86/3.44 cnf(c31, axiom,
% 21.86/3.44 parallel_lines(sK2,sK3)).
% 21.86/3.44 cnf(a20, assumption,
% 21.86/3.44 X17 = sK2).
% 21.86/3.44 cnf(a21, assumption,
% 21.86/3.44 X18 = sK3).
% 21.86/3.44 cnf(c32, plain,
% 21.86/3.44 $false,
% 21.86/3.44 inference(strict_predicate_extension, [assumptions([a20, a21])], [c30, c31])).
% 21.86/3.44 cnf(c33, plain,
% 21.86/3.44 $false,
% 21.86/3.44 inference(strict_predicate_extension, [assumptions([a20, a21])], [c30, c31])).
% 21.86/3.44
% 21.86/3.44 cnf(c34, axiom,
% 21.86/3.44 ~convergent_lines(X19,X19)).
% 21.86/3.44 cnf(a22, assumption,
% 21.86/3.44 X9 = X19).
% 21.86/3.44 cnf(a23, assumption,
% 21.86/3.44 X8 = X19).
% 21.86/3.44 cnf(c35, plain,
% 21.86/3.44 $false,
% 21.86/3.44 inference(strict_predicate_extension, [assumptions([a22, a23])], [c15, c34])).
% 21.86/3.44 cnf(c36, plain,
% 21.86/3.44 $false,
% 21.86/3.44 inference(strict_predicate_extension, [assumptions([a22, a23])], [c15, c34])).
% 21.86/3.44
% 21.86/3.44 cnf(c37, plain,
% 21.86/3.44 ~convergent_lines(X15,X16)).
% 21.86/3.44 cnf(a24, assumption,
% 21.86/3.44 X6 = X15).
% 21.86/3.44 cnf(a25, assumption,
% 21.86/3.44 X5 = X16).
% 21.86/3.44 cnf(c38, plain,
% 21.86/3.44 $false,
% 21.86/3.44 inference(predicate_reduction, [assumptions([a24, a25])], [c12, c37])).
% 21.86/3.44
% 21.86/3.44 cnf(c39, plain,
% 21.86/3.44 $false,
% 21.86/3.44 inference(constraint_solving, [
% 21.86/3.44 bind(X0, sK2),
% 21.86/3.44 bind(X1, sK4),
% 21.86/3.44 bind(X2, sK2),
% 21.86/3.44 bind(X3, sK4),
% 21.86/3.44 bind(X4, sK4),
% 21.86/3.44 bind(X5, sK3),
% 21.86/3.44 bind(X6, sK2),
% 21.86/3.44 bind(X7, sK3),
% 21.86/3.44 bind(X8, sK4),
% 21.86/3.44 bind(X9, sK4),
% 21.86/3.44 bind(X10, sK3),
% 21.86/3.44 bind(X11, sK4),
% 21.86/3.44 bind(X12, sK2),
% 21.86/3.44 bind(X13, sK3),
% 21.86/3.44 bind(X14, sK4),
% 21.86/3.44 bind(X15, sK2),
% 21.86/3.44 bind(X16, sK3),
% 21.86/3.44 bind(X17, sK2),
% 21.86/3.44 bind(X18, sK3),
% 21.86/3.44 bind(X19, sK4)
% 21.86/3.44 ],
% 21.86/3.44 [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])).
% 21.86/3.44
% 21.86/3.44 % SZS output end IncompleteProof
%------------------------------------------------------------------------------