TSTP Solution File: GEO213+2 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : GEO213+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 : 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 05:00:03 EDT 2022
% Result : Theorem 3.07s 0.75s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO213+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % 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 : Sat Jun 18 14:13:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 3.07/0.75 % SZS status Theorem
% 3.07/0.75 % SZS output begin IncompleteProof
% 3.07/0.75 cnf(c0, axiom,
% 3.07/0.75 ~distinct_lines(sK1,sK3)).
% 3.07/0.75 cnf(c1, plain,
% 3.07/0.75 ~distinct_lines(sK1,sK3),
% 3.07/0.75 inference(start, [], [c0])).
% 3.07/0.75
% 3.07/0.75 cnf(c2, axiom,
% 3.07/0.75 distinct_lines(X0,X1) | ~convergent_lines(X0,X1)).
% 3.07/0.75 cnf(a0, assumption,
% 3.07/0.75 sK1 = X0).
% 3.07/0.75 cnf(a1, assumption,
% 3.07/0.75 sK3 = X1).
% 3.07/0.75 cnf(c3, plain,
% 3.07/0.75 $false,
% 3.07/0.75 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 3.07/0.75 cnf(c4, plain,
% 3.07/0.75 ~convergent_lines(X0,X1),
% 3.07/0.75 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 3.07/0.75
% 3.07/0.75 cnf(c5, axiom,
% 3.07/0.75 convergent_lines(X2,X3) | convergent_lines(X4,X3) | ~convergent_lines(X4,X2)).
% 3.07/0.75 cnf(a2, assumption,
% 3.07/0.75 X0 = X2).
% 3.07/0.75 cnf(a3, assumption,
% 3.07/0.75 X1 = X3).
% 3.07/0.75 cnf(c6, plain,
% 3.07/0.75 $false,
% 3.07/0.75 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])).
% 3.07/0.75 cnf(c7, plain,
% 3.07/0.75 convergent_lines(X4,X3) | ~convergent_lines(X4,X2),
% 3.07/0.75 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])).
% 3.07/0.75
% 3.07/0.75 cnf(c8, axiom,
% 3.07/0.75 ~convergent_lines(X5,X5)).
% 3.07/0.75 cnf(a4, assumption,
% 3.07/0.75 X4 = X5).
% 3.07/0.75 cnf(a5, assumption,
% 3.07/0.75 X3 = X5).
% 3.07/0.75 cnf(c9, plain,
% 3.07/0.75 ~convergent_lines(X4,X2),
% 3.07/0.75 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])).
% 3.07/0.75 cnf(c10, plain,
% 3.07/0.75 $false,
% 3.07/0.75 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])).
% 3.07/0.75
% 3.07/0.75 cnf(c11, axiom,
% 3.07/0.75 convergent_lines(X6,X7) | convergent_lines(X8,X7) | ~convergent_lines(X8,X6)).
% 3.07/0.75 cnf(a6, assumption,
% 3.07/0.75 X4 = X6).
% 3.07/0.75 cnf(a7, assumption,
% 3.07/0.75 X2 = X7).
% 3.07/0.75 cnf(c12, plain,
% 3.07/0.75 $false,
% 3.07/0.75 inference(strict_predicate_extension, [assumptions([a6, a7])], [c9, c11])).
% 3.07/0.75 cnf(c13, plain,
% 3.07/0.75 convergent_lines(X8,X7) | ~convergent_lines(X8,X6),
% 3.07/0.75 inference(strict_predicate_extension, [assumptions([a6, a7])], [c9, c11])).
% 3.07/0.75
% 3.07/0.75 cnf(c14, axiom,
% 3.07/0.75 convergent_lines(X9,X10) | convergent_lines(X11,X10) | ~convergent_lines(X11,X9)).
% 3.07/0.75 cnf(a8, assumption,
% 3.07/0.75 X8 = X11).
% 3.07/0.75 cnf(a9, assumption,
% 3.07/0.75 X7 = X9).
% 3.07/0.75 cnf(c15, plain,
% 3.07/0.75 ~convergent_lines(X8,X6),
% 3.07/0.75 inference(strict_predicate_extension, [assumptions([a8, a9])], [c13, c14])).
% 3.07/0.75 cnf(c16, plain,
% 3.07/0.75 convergent_lines(X9,X10) | convergent_lines(X11,X10),
% 3.07/0.75 inference(strict_predicate_extension, [assumptions([a8, a9])], [c13, c14])).
% 3.07/0.75
% 3.07/0.75 cnf(c17, axiom,
% 3.07/0.75 unorthogonal_lines(X12,X13) | sP0(X13,X14) | ~unorthogonal_lines(X14,X12) | ~convergent_lines(X14,X12)).
% 3.07/0.75 cnf(a10, assumption,
% 3.07/0.75 X9 = X14).
% 3.07/0.75 cnf(a11, assumption,
% 3.07/0.75 X10 = X12).
% 3.07/0.75 cnf(c18, plain,
% 3.07/0.75 convergent_lines(X11,X10),
% 3.07/0.75 inference(strict_predicate_extension, [assumptions([a10, a11])], [c16, c17])).
% 3.07/0.75 cnf(c19, plain,
% 3.07/0.75 unorthogonal_lines(X12,X13) | sP0(X13,X14) | ~unorthogonal_lines(X14,X12),
% 3.07/0.75 inference(strict_predicate_extension, [assumptions([a10, a11])], [c16, c17])).
% 3.07/0.75
% 3.07/0.75 cnf(c20, axiom,
% 3.07/0.75 ~unorthogonal_lines(sK2,sK3)).
% 3.07/0.75 cnf(a12, assumption,
% 3.07/0.75 X12 = sK2).
% 3.07/0.75 cnf(a13, assumption,
% 3.07/0.75 X13 = sK3).
% 3.07/0.75 cnf(c21, plain,
% 3.07/0.75 sP0(X13,X14) | ~unorthogonal_lines(X14,X12),
% 3.07/0.75 inference(strict_predicate_extension, [assumptions([a12, a13])], [c19, c20])).
% 3.07/0.75 cnf(c22, plain,
% 3.07/0.75 $false,
% 3.07/0.75 inference(strict_predicate_extension, [assumptions([a12, a13])], [c19, c20])).
% 3.07/0.75
% 3.07/0.75 cnf(c23, axiom,
% 3.07/0.75 convergent_lines(X15,X16) | ~sP0(X16,X15)).
% 3.07/0.75 cnf(a14, assumption,
% 3.07/0.75 X13 = X16).
% 3.07/0.75 cnf(a15, assumption,
% 3.07/0.75 X14 = X15).
% 3.07/0.75 cnf(c24, plain,
% 3.07/0.75 ~unorthogonal_lines(X14,X12),
% 3.07/0.75 inference(strict_predicate_extension, [assumptions([a14, a15])], [c21, c23])).
% 3.07/0.75 cnf(c25, plain,
% 3.07/0.75 convergent_lines(X15,X16),
% 3.07/0.75 inference(strict_predicate_extension, [assumptions([a14, a15])], [c21, c23])).
% 3.07/0.75
% 3.07/0.75 cnf(c26, plain,
% 3.07/0.75 ~convergent_lines(X0,X1)).
% 3.07/0.75 cnf(a16, assumption,
% 3.07/0.75 X15 = X0).
% 3.07/0.75 cnf(a17, assumption,
% 3.07/0.75 X16 = X1).
% 3.07/0.75 cnf(c27, plain,
% 3.07/0.75 $false,
% 3.07/0.75 inference(predicate_reduction, [assumptions([a16, a17])], [c25, c26])).
% 3.07/0.75
% 3.07/0.75 cnf(c28, axiom,
% 3.07/0.75 unorthogonal_lines(sK1,sK2)).
% 3.07/0.75 cnf(a18, assumption,
% 3.07/0.75 X14 = sK1).
% 3.07/0.75 cnf(a19, assumption,
% 3.07/0.75 X12 = sK2).
% 3.07/0.75 cnf(c29, plain,
% 3.07/0.75 $false,
% 3.07/0.75 inference(strict_predicate_extension, [assumptions([a18, a19])], [c24, c28])).
% 3.07/0.75 cnf(c30, plain,
% 3.07/0.75 $false,
% 3.07/0.75 inference(strict_predicate_extension, [assumptions([a18, a19])], [c24, c28])).
% 3.07/0.75
% 3.07/0.75 cnf(c31, axiom,
% 3.07/0.75 ~convergent_lines(X17,X17)).
% 3.07/0.75 cnf(a20, assumption,
% 3.07/0.75 X11 = X17).
% 3.07/0.75 cnf(a21, assumption,
% 3.07/0.75 X10 = X17).
% 3.07/0.75 cnf(c32, plain,
% 3.07/0.75 $false,
% 3.07/0.75 inference(strict_predicate_extension, [assumptions([a20, a21])], [c18, c31])).
% 3.07/0.75 cnf(c33, plain,
% 3.07/0.75 $false,
% 3.07/0.75 inference(strict_predicate_extension, [assumptions([a20, a21])], [c18, c31])).
% 3.07/0.75
% 3.07/0.75 cnf(c34, axiom,
% 3.07/0.75 unorthogonal_lines(X18,X19) | convergent_lines(X18,X19)).
% 3.07/0.75 cnf(a22, assumption,
% 3.07/0.75 X8 = X18).
% 3.07/0.75 cnf(a23, assumption,
% 3.07/0.75 X6 = X19).
% 3.07/0.75 cnf(c35, plain,
% 3.07/0.75 $false,
% 3.07/0.75 inference(strict_predicate_extension, [assumptions([a22, a23])], [c15, c34])).
% 3.07/0.75 cnf(c36, plain,
% 3.07/0.75 unorthogonal_lines(X18,X19),
% 3.07/0.75 inference(strict_predicate_extension, [assumptions([a22, a23])], [c15, c34])).
% 3.07/0.75
% 3.07/0.75 cnf(c37, plain,
% 3.07/0.75 ~unorthogonal_lines(X12,X13)).
% 3.07/0.75 cnf(a24, assumption,
% 3.07/0.75 X18 = X12).
% 3.07/0.75 cnf(a25, assumption,
% 3.07/0.75 X19 = X13).
% 3.07/0.75 cnf(c38, plain,
% 3.07/0.75 $false,
% 3.07/0.75 inference(predicate_reduction, [assumptions([a24, a25])], [c36, c37])).
% 3.07/0.75
% 3.07/0.75 cnf(c39, plain,
% 3.07/0.75 $false,
% 3.07/0.75 inference(constraint_solving, [
% 3.07/0.75 bind(X0, sK1),
% 3.07/0.75 bind(X1, sK3),
% 3.07/0.75 bind(X2, sK1),
% 3.07/0.75 bind(X3, sK3),
% 3.07/0.75 bind(X4, sK3),
% 3.07/0.75 bind(X5, sK3),
% 3.07/0.75 bind(X6, sK3),
% 3.07/0.75 bind(X7, sK1),
% 3.07/0.75 bind(X8, sK2),
% 3.07/0.75 bind(X9, sK1),
% 3.07/0.75 bind(X10, sK2),
% 3.07/0.75 bind(X11, sK2),
% 3.07/0.75 bind(X12, sK2),
% 3.07/0.75 bind(X13, sK3),
% 3.07/0.75 bind(X14, sK1),
% 3.07/0.75 bind(X15, sK1),
% 3.07/0.75 bind(X16, sK3),
% 3.07/0.75 bind(X17, sK2),
% 3.07/0.75 bind(X18, sK2),
% 3.07/0.75 bind(X19, sK3)
% 3.07/0.75 ],
% 3.07/0.75 [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])).
% 3.07/0.75
% 3.07/0.75 % SZS output end IncompleteProof
%------------------------------------------------------------------------------