TSTP Solution File: GEO203+3 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : GEO203+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 : n009.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 04:59:56 EDT 2022
% Result : Theorem 2.22s 0.65s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO203+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.14/0.34 % Computer : n009.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Fri Jun 17 18:39:52 EDT 2022
% 0.14/0.34 % CPUTime :
% 2.22/0.65 % SZS status Theorem
% 2.22/0.65 % SZS output begin IncompleteProof
% 2.22/0.65 cnf(c0, axiom,
% 2.22/0.65 distinct_points(intersection_point(sK2,sK3),intersection_point(sK2,sK4))).
% 2.22/0.65 cnf(c1, plain,
% 2.22/0.65 distinct_points(intersection_point(sK2,sK3),intersection_point(sK2,sK4)),
% 2.22/0.65 inference(start, [], [c0])).
% 2.22/0.65
% 2.22/0.65 cnf(c2, axiom,
% 2.22/0.65 apart_point_and_line(X0,X1) | apart_point_and_line(X0,X2) | apart_point_and_line(X3,X1) | apart_point_and_line(X3,X2) | ~distinct_lines(X2,X1) | ~distinct_points(X3,X0)).
% 2.22/0.65 cnf(a0, assumption,
% 2.22/0.65 intersection_point(sK2,sK3) = X3).
% 2.22/0.65 cnf(a1, assumption,
% 2.22/0.65 intersection_point(sK2,sK4) = X0).
% 2.22/0.65 cnf(c3, plain,
% 2.22/0.65 $false,
% 2.22/0.65 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 2.22/0.65 cnf(c4, plain,
% 2.22/0.65 apart_point_and_line(X0,X1) | apart_point_and_line(X0,X2) | apart_point_and_line(X3,X1) | apart_point_and_line(X3,X2) | ~distinct_lines(X2,X1),
% 2.22/0.65 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 2.22/0.65
% 2.22/0.65 cnf(c5, axiom,
% 2.22/0.65 ~apart_point_and_line(intersection_point(X4,X5),X4) | ~convergent_lines(X4,X5)).
% 2.22/0.65 cnf(a2, assumption,
% 2.22/0.65 X0 = intersection_point(X4,X5)).
% 2.22/0.65 cnf(a3, assumption,
% 2.22/0.65 X1 = X4).
% 2.22/0.65 cnf(c6, plain,
% 2.22/0.65 apart_point_and_line(X0,X2) | apart_point_and_line(X3,X1) | apart_point_and_line(X3,X2) | ~distinct_lines(X2,X1),
% 2.22/0.65 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])).
% 2.22/0.65 cnf(c7, plain,
% 2.22/0.65 ~convergent_lines(X4,X5),
% 2.22/0.65 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])).
% 2.22/0.65
% 2.22/0.65 cnf(c8, axiom,
% 2.22/0.65 convergent_lines(sK2,sK4)).
% 2.22/0.65 cnf(a4, assumption,
% 2.22/0.65 X4 = sK2).
% 2.22/0.65 cnf(a5, assumption,
% 2.22/0.65 X5 = sK4).
% 2.22/0.65 cnf(c9, plain,
% 2.22/0.65 $false,
% 2.22/0.65 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])).
% 2.22/0.65 cnf(c10, plain,
% 2.22/0.65 $false,
% 2.22/0.65 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])).
% 2.22/0.65
% 2.22/0.65 cnf(c11, axiom,
% 2.22/0.65 ~apart_point_and_line(X6,line_connecting(X7,X6)) | ~distinct_points(X7,X6)).
% 2.22/0.65 cnf(a6, assumption,
% 2.22/0.65 X0 = X6).
% 2.22/0.65 cnf(a7, assumption,
% 2.22/0.65 X2 = line_connecting(X7,X6)).
% 2.22/0.65 cnf(c12, plain,
% 2.22/0.65 apart_point_and_line(X3,X1) | apart_point_and_line(X3,X2) | ~distinct_lines(X2,X1),
% 2.22/0.65 inference(strict_predicate_extension, [assumptions([a6, a7])], [c6, c11])).
% 2.22/0.65 cnf(c13, plain,
% 2.22/0.65 ~distinct_points(X7,X6),
% 2.22/0.65 inference(strict_predicate_extension, [assumptions([a6, a7])], [c6, c11])).
% 2.22/0.65
% 2.22/0.65 cnf(c14, plain,
% 2.22/0.65 distinct_points(intersection_point(sK2,sK3),intersection_point(sK2,sK4))).
% 2.22/0.65 cnf(a8, assumption,
% 2.22/0.65 X7 = intersection_point(sK2,sK3)).
% 2.22/0.65 cnf(a9, assumption,
% 2.22/0.65 X6 = intersection_point(sK2,sK4)).
% 2.22/0.65 cnf(c15, plain,
% 2.22/0.65 $false,
% 2.22/0.65 inference(predicate_reduction, [assumptions([a8, a9])], [c13, c14])).
% 2.22/0.65
% 2.22/0.65 cnf(c16, axiom,
% 2.22/0.65 ~apart_point_and_line(intersection_point(X8,X9),X8) | ~convergent_lines(X8,X9)).
% 2.22/0.65 cnf(a10, assumption,
% 2.22/0.65 X3 = intersection_point(X8,X9)).
% 2.22/0.65 cnf(a11, assumption,
% 2.22/0.65 X1 = X8).
% 2.22/0.65 cnf(c17, plain,
% 2.22/0.65 apart_point_and_line(X3,X2) | ~distinct_lines(X2,X1),
% 2.22/0.65 inference(strict_predicate_extension, [assumptions([a10, a11])], [c12, c16])).
% 2.22/0.65 cnf(c18, plain,
% 2.22/0.65 ~convergent_lines(X8,X9),
% 2.22/0.65 inference(strict_predicate_extension, [assumptions([a10, a11])], [c12, c16])).
% 2.22/0.65
% 2.22/0.65 cnf(c19, axiom,
% 2.22/0.65 convergent_lines(sK2,sK3)).
% 2.22/0.65 cnf(a12, assumption,
% 2.22/0.65 X8 = sK2).
% 2.22/0.65 cnf(a13, assumption,
% 2.22/0.65 X9 = sK3).
% 2.22/0.65 cnf(c20, plain,
% 2.22/0.65 $false,
% 2.22/0.65 inference(strict_predicate_extension, [assumptions([a12, a13])], [c18, c19])).
% 2.22/0.65 cnf(c21, plain,
% 2.22/0.65 $false,
% 2.22/0.65 inference(strict_predicate_extension, [assumptions([a12, a13])], [c18, c19])).
% 2.22/0.65
% 2.22/0.65 cnf(c22, axiom,
% 2.22/0.65 ~apart_point_and_line(X10,line_connecting(X10,X11)) | ~distinct_points(X10,X11)).
% 2.22/0.65 cnf(a14, assumption,
% 2.22/0.65 X3 = X10).
% 2.22/0.65 cnf(a15, assumption,
% 2.22/0.65 X2 = line_connecting(X10,X11)).
% 2.22/0.65 cnf(c23, plain,
% 2.22/0.65 ~distinct_lines(X2,X1),
% 2.22/0.65 inference(strict_predicate_extension, [assumptions([a14, a15])], [c17, c22])).
% 2.22/0.65 cnf(c24, plain,
% 2.22/0.65 ~distinct_points(X10,X11),
% 2.22/0.65 inference(strict_predicate_extension, [assumptions([a14, a15])], [c17, c22])).
% 2.22/0.65
% 2.22/0.65 cnf(c25, plain,
% 2.22/0.65 distinct_points(intersection_point(sK2,sK3),intersection_point(sK2,sK4))).
% 2.22/0.65 cnf(a16, assumption,
% 2.22/0.65 X10 = intersection_point(sK2,sK3)).
% 2.22/0.65 cnf(a17, assumption,
% 2.22/0.65 X11 = intersection_point(sK2,sK4)).
% 2.22/0.65 cnf(c26, plain,
% 2.22/0.65 $false,
% 2.22/0.65 inference(predicate_reduction, [assumptions([a16, a17])], [c24, c25])).
% 2.22/0.65
% 2.22/0.65 cnf(c27, axiom,
% 2.22/0.65 equal_lines(X12,X13) | distinct_lines(X12,X13)).
% 2.22/0.65 cnf(a18, assumption,
% 2.22/0.65 X2 = X12).
% 2.22/0.65 cnf(a19, assumption,
% 2.22/0.65 X1 = X13).
% 2.22/0.65 cnf(c28, plain,
% 2.22/0.65 $false,
% 2.22/0.65 inference(strict_predicate_extension, [assumptions([a18, a19])], [c23, c27])).
% 2.22/0.65 cnf(c29, plain,
% 2.22/0.65 equal_lines(X12,X13),
% 2.22/0.65 inference(strict_predicate_extension, [assumptions([a18, a19])], [c23, c27])).
% 2.22/0.65
% 2.22/0.65 cnf(c30, axiom,
% 2.22/0.65 ~equal_lines(line_connecting(intersection_point(sK2,sK3),intersection_point(sK2,sK4)),sK2)).
% 2.22/0.65 cnf(a20, assumption,
% 2.22/0.65 X12 = line_connecting(intersection_point(sK2,sK3),intersection_point(sK2,sK4))).
% 2.22/0.65 cnf(a21, assumption,
% 2.22/0.65 X13 = sK2).
% 2.22/0.65 cnf(c31, plain,
% 2.22/0.65 $false,
% 2.22/0.65 inference(strict_predicate_extension, [assumptions([a20, a21])], [c29, c30])).
% 2.22/0.65 cnf(c32, plain,
% 2.22/0.65 $false,
% 2.22/0.65 inference(strict_predicate_extension, [assumptions([a20, a21])], [c29, c30])).
% 2.22/0.65
% 2.22/0.65 cnf(c33, plain,
% 2.22/0.65 $false,
% 2.22/0.65 inference(constraint_solving, [
% 2.22/0.65 bind(X0, intersection_point(sK2,sK4)),
% 2.22/0.65 bind(X1, sK2),
% 2.22/0.65 bind(X2, line_connecting(X7,X6)),
% 2.22/0.65 bind(X3, intersection_point(sK2,sK3)),
% 2.22/0.65 bind(X4, sK2),
% 2.22/0.65 bind(X5, sK4),
% 2.22/0.65 bind(X6, intersection_point(sK2,sK4)),
% 2.22/0.65 bind(X7, intersection_point(sK2,sK3)),
% 2.22/0.65 bind(X8, sK2),
% 2.22/0.65 bind(X9, sK3),
% 2.22/0.65 bind(X10, intersection_point(sK2,sK3)),
% 2.22/0.65 bind(X11, intersection_point(sK2,sK4)),
% 2.22/0.65 bind(X12, line_connecting(X7,X6)),
% 2.22/0.65 bind(X13, sK2)
% 2.22/0.65 ],
% 2.22/0.65 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20, a21])).
% 2.22/0.65
% 2.22/0.65 % SZS output end IncompleteProof
%------------------------------------------------------------------------------