TSTP Solution File: GEO212+2 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : GEO212+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 : n027.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 05:00:02 EDT 2022
% Result : Theorem 1.62s 0.57s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO212+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.14 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jun 18 01:58:37 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.62/0.57 % SZS status Theorem
% 1.62/0.57 % SZS output begin IncompleteProof
% 1.62/0.57 cnf(c0, axiom,
% 1.62/0.57 ~unorthogonal_lines(sK2,sK3)).
% 1.62/0.57 cnf(c1, plain,
% 1.62/0.57 ~unorthogonal_lines(sK2,sK3),
% 1.62/0.57 inference(start, [], [c0])).
% 1.62/0.57
% 1.62/0.57 cnf(c2, axiom,
% 1.62/0.57 unorthogonal_lines(X0,X1) | sP0(X1,X2) | ~unorthogonal_lines(X2,X0) | ~convergent_lines(X2,X0)).
% 1.62/0.57 cnf(a0, assumption,
% 1.62/0.57 sK2 = X0).
% 1.62/0.57 cnf(a1, assumption,
% 1.62/0.57 sK3 = X1).
% 1.62/0.57 cnf(c3, plain,
% 1.62/0.57 $false,
% 1.62/0.57 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 1.62/0.57 cnf(c4, plain,
% 1.62/0.57 sP0(X1,X2) | ~unorthogonal_lines(X2,X0) | ~convergent_lines(X2,X0),
% 1.62/0.57 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 1.62/0.57
% 1.62/0.57 cnf(c5, axiom,
% 1.62/0.57 convergent_lines(X3,X4) | ~sP0(X4,X3)).
% 1.62/0.57 cnf(a2, assumption,
% 1.62/0.57 X1 = X4).
% 1.62/0.57 cnf(a3, assumption,
% 1.62/0.57 X2 = X3).
% 1.62/0.57 cnf(c6, plain,
% 1.62/0.57 ~unorthogonal_lines(X2,X0) | ~convergent_lines(X2,X0),
% 1.62/0.57 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])).
% 1.62/0.57 cnf(c7, plain,
% 1.62/0.57 convergent_lines(X3,X4),
% 1.62/0.57 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])).
% 1.62/0.57
% 1.62/0.57 cnf(c8, axiom,
% 1.62/0.57 ~convergent_lines(sK1,sK3)).
% 1.62/0.57 cnf(a4, assumption,
% 1.62/0.57 X3 = sK1).
% 1.62/0.57 cnf(a5, assumption,
% 1.62/0.57 X4 = sK3).
% 1.62/0.57 cnf(c9, plain,
% 1.62/0.57 $false,
% 1.62/0.57 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])).
% 1.62/0.57 cnf(c10, plain,
% 1.62/0.57 $false,
% 1.62/0.57 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])).
% 1.62/0.57
% 1.62/0.57 cnf(c11, axiom,
% 1.62/0.57 unorthogonal_lines(sK1,sK2)).
% 1.62/0.57 cnf(a6, assumption,
% 1.62/0.57 X2 = sK1).
% 1.62/0.57 cnf(a7, assumption,
% 1.62/0.57 X0 = sK2).
% 1.62/0.57 cnf(c12, plain,
% 1.62/0.57 ~convergent_lines(X2,X0),
% 1.62/0.57 inference(strict_predicate_extension, [assumptions([a6, a7])], [c6, c11])).
% 1.62/0.57 cnf(c13, plain,
% 1.62/0.57 $false,
% 1.62/0.57 inference(strict_predicate_extension, [assumptions([a6, a7])], [c6, c11])).
% 1.62/0.57
% 1.62/0.57 cnf(c14, axiom,
% 1.62/0.57 convergent_lines(X5,X6) | convergent_lines(X7,X6) | ~convergent_lines(X7,X5)).
% 1.62/0.57 cnf(a8, assumption,
% 1.62/0.57 X2 = X5).
% 1.62/0.57 cnf(a9, assumption,
% 1.62/0.57 X0 = X6).
% 1.62/0.57 cnf(c15, plain,
% 1.62/0.57 $false,
% 1.62/0.57 inference(strict_predicate_extension, [assumptions([a8, a9])], [c12, c14])).
% 1.62/0.57 cnf(c16, plain,
% 1.62/0.57 convergent_lines(X7,X6) | ~convergent_lines(X7,X5),
% 1.62/0.57 inference(strict_predicate_extension, [assumptions([a8, a9])], [c12, c14])).
% 1.62/0.57
% 1.62/0.57 cnf(c17, axiom,
% 1.62/0.57 ~convergent_lines(X8,X8)).
% 1.62/0.57 cnf(a10, assumption,
% 1.62/0.57 X7 = X8).
% 1.62/0.57 cnf(a11, assumption,
% 1.62/0.57 X6 = X8).
% 1.62/0.57 cnf(c18, plain,
% 1.62/0.57 ~convergent_lines(X7,X5),
% 1.62/0.57 inference(strict_predicate_extension, [assumptions([a10, a11])], [c16, c17])).
% 1.62/0.57 cnf(c19, plain,
% 1.62/0.57 $false,
% 1.62/0.57 inference(strict_predicate_extension, [assumptions([a10, a11])], [c16, c17])).
% 1.62/0.57
% 1.62/0.57 cnf(c20, axiom,
% 1.62/0.57 convergent_lines(X9,X10) | convergent_lines(X11,X10) | ~convergent_lines(X11,X9)).
% 1.62/0.57 cnf(a12, assumption,
% 1.62/0.57 X7 = X11).
% 1.62/0.57 cnf(a13, assumption,
% 1.62/0.57 X5 = X10).
% 1.62/0.57 cnf(c21, plain,
% 1.62/0.57 $false,
% 1.62/0.57 inference(strict_predicate_extension, [assumptions([a12, a13])], [c18, c20])).
% 1.62/0.57 cnf(c22, plain,
% 1.62/0.57 convergent_lines(X9,X10) | ~convergent_lines(X11,X9),
% 1.62/0.57 inference(strict_predicate_extension, [assumptions([a12, a13])], [c18, c20])).
% 1.62/0.57
% 1.62/0.57 cnf(c23, axiom,
% 1.62/0.57 convergent_lines(X12,X13) | convergent_lines(X14,X13) | ~convergent_lines(X14,X12)).
% 1.62/0.57 cnf(a14, assumption,
% 1.62/0.57 X9 = X14).
% 1.62/0.57 cnf(a15, assumption,
% 1.62/0.57 X10 = X12).
% 1.62/0.57 cnf(c24, plain,
% 1.62/0.57 ~convergent_lines(X11,X9),
% 1.62/0.57 inference(strict_predicate_extension, [assumptions([a14, a15])], [c22, c23])).
% 1.62/0.57 cnf(c25, plain,
% 1.62/0.57 convergent_lines(X12,X13) | convergent_lines(X14,X13),
% 1.62/0.57 inference(strict_predicate_extension, [assumptions([a14, a15])], [c22, c23])).
% 1.62/0.57
% 1.62/0.57 cnf(c26, plain,
% 1.62/0.57 ~convergent_lines(X3,X4)).
% 1.62/0.57 cnf(a16, assumption,
% 1.62/0.57 X12 = X3).
% 1.62/0.57 cnf(a17, assumption,
% 1.62/0.57 X13 = X4).
% 1.62/0.57 cnf(c27, plain,
% 1.62/0.57 convergent_lines(X14,X13),
% 1.62/0.57 inference(predicate_reduction, [assumptions([a16, a17])], [c25, c26])).
% 1.62/0.57
% 1.62/0.57 cnf(c28, axiom,
% 1.62/0.57 ~convergent_lines(X15,X15)).
% 1.62/0.57 cnf(a18, assumption,
% 1.62/0.57 X14 = X15).
% 1.62/0.57 cnf(a19, assumption,
% 1.62/0.57 X13 = X15).
% 1.62/0.57 cnf(c29, plain,
% 1.62/0.57 $false,
% 1.62/0.57 inference(strict_predicate_extension, [assumptions([a18, a19])], [c27, c28])).
% 1.62/0.57 cnf(c30, plain,
% 1.62/0.57 $false,
% 1.62/0.57 inference(strict_predicate_extension, [assumptions([a18, a19])], [c27, c28])).
% 1.62/0.57
% 1.62/0.57 cnf(c31, axiom,
% 1.62/0.57 unorthogonal_lines(X16,X17) | convergent_lines(X16,X17)).
% 1.62/0.57 cnf(a20, assumption,
% 1.62/0.57 X11 = X16).
% 1.62/0.57 cnf(a21, assumption,
% 1.62/0.57 X9 = X17).
% 1.62/0.57 cnf(c32, plain,
% 1.62/0.57 $false,
% 1.62/0.57 inference(strict_predicate_extension, [assumptions([a20, a21])], [c24, c31])).
% 1.62/0.57 cnf(c33, plain,
% 1.62/0.57 unorthogonal_lines(X16,X17),
% 1.62/0.57 inference(strict_predicate_extension, [assumptions([a20, a21])], [c24, c31])).
% 1.62/0.57
% 1.62/0.57 cnf(c34, plain,
% 1.62/0.57 ~unorthogonal_lines(sK2,sK3)).
% 1.62/0.57 cnf(a22, assumption,
% 1.62/0.57 X16 = sK2).
% 1.62/0.57 cnf(a23, assumption,
% 1.62/0.57 X17 = sK3).
% 1.62/0.57 cnf(c35, plain,
% 1.62/0.57 $false,
% 1.62/0.57 inference(predicate_reduction, [assumptions([a22, a23])], [c33, c34])).
% 1.62/0.57
% 1.62/0.57 cnf(c36, plain,
% 1.62/0.57 $false,
% 1.62/0.57 inference(constraint_solving, [
% 1.62/0.57 bind(X0, sK2),
% 1.62/0.57 bind(X1, sK3),
% 1.62/0.57 bind(X2, sK1),
% 1.62/0.57 bind(X3, sK1),
% 1.62/0.57 bind(X4, sK3),
% 1.62/0.57 bind(X5, sK1),
% 1.62/0.57 bind(X6, sK2),
% 1.62/0.57 bind(X7, sK2),
% 1.62/0.57 bind(X8, sK2),
% 1.62/0.57 bind(X9, sK3),
% 1.62/0.57 bind(X10, sK1),
% 1.62/0.57 bind(X11, sK2),
% 1.62/0.57 bind(X12, sK1),
% 1.62/0.57 bind(X13, sK3),
% 1.62/0.57 bind(X14, sK3),
% 1.62/0.57 bind(X15, sK3),
% 1.62/0.57 bind(X16, sK2),
% 1.62/0.57 bind(X17, sK3)
% 1.62/0.57 ],
% 1.62/0.57 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20, a21, a22, a23])).
% 1.62/0.57
% 1.62/0.57 % SZS output end IncompleteProof
%------------------------------------------------------------------------------