TSTP Solution File: GEO179+2 by lazyCoP---0.1
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%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : GEO179+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 : n022.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 04:59:37 EDT 2022
% Result : Theorem 2.34s 0.67s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO179+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.13/0.32 % Computer : n022.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jun 18 01:01:17 EDT 2022
% 0.13/0.33 % CPUTime :
% 2.34/0.67 % SZS status Theorem
% 2.34/0.67 % SZS output begin IncompleteProof
% 2.34/0.67 cnf(c0, axiom,
% 2.34/0.67 apart_point_and_line(sK2,line_connecting(sK0,sK1))).
% 2.34/0.67 cnf(c1, plain,
% 2.34/0.67 apart_point_and_line(sK2,line_connecting(sK0,sK1)),
% 2.34/0.67 inference(start, [], [c0])).
% 2.34/0.67
% 2.34/0.67 cnf(c2, axiom,
% 2.34/0.67 apart_point_and_line(X0,X1) | distinct_lines(X2,X1) | ~apart_point_and_line(X0,X2)).
% 2.34/0.67 cnf(a0, assumption,
% 2.34/0.67 sK2 = X0).
% 2.34/0.67 cnf(a1, assumption,
% 2.34/0.67 line_connecting(sK0,sK1) = X2).
% 2.34/0.67 cnf(c3, plain,
% 2.34/0.67 $false,
% 2.34/0.67 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 2.34/0.67 cnf(c4, plain,
% 2.34/0.67 apart_point_and_line(X0,X1) | distinct_lines(X2,X1),
% 2.34/0.67 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 2.34/0.67
% 2.34/0.67 cnf(c5, axiom,
% 2.34/0.67 distinct_points(X3,X4) | ~apart_point_and_line(X3,line_connecting(X4,X5)) | ~distinct_points(X4,X5)).
% 2.34/0.67 cnf(a2, assumption,
% 2.34/0.67 X0 = X3).
% 2.34/0.67 cnf(a3, assumption,
% 2.34/0.67 X1 = line_connecting(X4,X5)).
% 2.34/0.67 cnf(c6, plain,
% 2.34/0.67 distinct_lines(X2,X1),
% 2.34/0.67 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])).
% 2.34/0.67 cnf(c7, plain,
% 2.34/0.67 distinct_points(X3,X4) | ~distinct_points(X4,X5),
% 2.34/0.67 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])).
% 2.34/0.67
% 2.34/0.67 cnf(c8, axiom,
% 2.34/0.67 ~distinct_points(X6,X6)).
% 2.34/0.67 cnf(a4, assumption,
% 2.34/0.67 X3 = X6).
% 2.34/0.67 cnf(a5, assumption,
% 2.34/0.67 X4 = X6).
% 2.34/0.67 cnf(c9, plain,
% 2.34/0.67 ~distinct_points(X4,X5),
% 2.34/0.67 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])).
% 2.34/0.67 cnf(c10, plain,
% 2.34/0.67 $false,
% 2.34/0.67 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])).
% 2.34/0.67
% 2.34/0.67 cnf(c11, axiom,
% 2.34/0.67 distinct_points(X7,X8) | ~apart_point_and_line(X7,line_connecting(X8,X9)) | ~distinct_points(X8,X9)).
% 2.34/0.67 cnf(a6, assumption,
% 2.34/0.67 X4 = X7).
% 2.34/0.67 cnf(a7, assumption,
% 2.34/0.67 X5 = X8).
% 2.34/0.67 cnf(c12, plain,
% 2.34/0.67 $false,
% 2.34/0.67 inference(strict_predicate_extension, [assumptions([a6, a7])], [c9, c11])).
% 2.34/0.67 cnf(c13, plain,
% 2.34/0.67 ~apart_point_and_line(X7,line_connecting(X8,X9)) | ~distinct_points(X8,X9),
% 2.34/0.67 inference(strict_predicate_extension, [assumptions([a6, a7])], [c9, c11])).
% 2.34/0.67
% 2.34/0.67 cnf(c14, plain,
% 2.34/0.67 apart_point_and_line(sK2,line_connecting(sK0,sK1))).
% 2.34/0.67 cnf(a8, assumption,
% 2.34/0.67 X7 = sK2).
% 2.34/0.67 cnf(a9, assumption,
% 2.34/0.67 line_connecting(X8,X9) = line_connecting(sK0,sK1)).
% 2.34/0.67 cnf(c15, plain,
% 2.34/0.67 ~distinct_points(X8,X9),
% 2.34/0.67 inference(predicate_reduction, [assumptions([a8, a9])], [c13, c14])).
% 2.34/0.67
% 2.34/0.67 cnf(c16, axiom,
% 2.34/0.67 distinct_points(sK0,sK1)).
% 2.34/0.67 cnf(a10, assumption,
% 2.34/0.67 X8 = sK0).
% 2.34/0.67 cnf(a11, assumption,
% 2.34/0.67 X9 = sK1).
% 2.34/0.67 cnf(c17, plain,
% 2.34/0.67 $false,
% 2.34/0.67 inference(strict_predicate_extension, [assumptions([a10, a11])], [c15, c16])).
% 2.34/0.67 cnf(c18, plain,
% 2.34/0.67 $false,
% 2.34/0.67 inference(strict_predicate_extension, [assumptions([a10, a11])], [c15, c16])).
% 2.34/0.67
% 2.34/0.67 cnf(c19, axiom,
% 2.34/0.67 ~distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK1)) | ~distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK0))).
% 2.34/0.67 cnf(a12, assumption,
% 2.34/0.67 X2 = line_connecting(sK0,sK1)).
% 2.34/0.67 cnf(a13, assumption,
% 2.34/0.67 X1 = line_connecting(sK2,sK0)).
% 2.34/0.67 cnf(c20, plain,
% 2.34/0.67 $false,
% 2.34/0.67 inference(strict_predicate_extension, [assumptions([a12, a13])], [c6, c19])).
% 2.34/0.67 cnf(c21, plain,
% 2.34/0.67 ~distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK1)),
% 2.34/0.67 inference(strict_predicate_extension, [assumptions([a12, a13])], [c6, c19])).
% 2.34/0.67
% 2.34/0.67 cnf(c22, axiom,
% 2.34/0.67 apart_point_and_line(X10,X11) | distinct_lines(X12,X11) | ~apart_point_and_line(X10,X12)).
% 2.34/0.67 cnf(a14, assumption,
% 2.34/0.67 line_connecting(sK0,sK1) = X12).
% 2.34/0.67 cnf(a15, assumption,
% 2.34/0.67 line_connecting(sK2,sK1) = X11).
% 2.34/0.67 cnf(c23, plain,
% 2.34/0.67 $false,
% 2.34/0.67 inference(strict_predicate_extension, [assumptions([a14, a15])], [c21, c22])).
% 2.34/0.67 cnf(c24, plain,
% 2.34/0.67 apart_point_and_line(X10,X11) | ~apart_point_and_line(X10,X12),
% 2.34/0.67 inference(strict_predicate_extension, [assumptions([a14, a15])], [c21, c22])).
% 2.34/0.67
% 2.34/0.67 cnf(c25, axiom,
% 2.34/0.67 distinct_points(X13,X14) | ~apart_point_and_line(X13,line_connecting(X14,X15)) | ~distinct_points(X14,X15)).
% 2.34/0.67 cnf(a16, assumption,
% 2.34/0.67 X10 = X13).
% 2.34/0.67 cnf(a17, assumption,
% 2.34/0.67 X11 = line_connecting(X14,X15)).
% 2.34/0.67 cnf(c26, plain,
% 2.34/0.67 ~apart_point_and_line(X10,X12),
% 2.34/0.67 inference(strict_predicate_extension, [assumptions([a16, a17])], [c24, c25])).
% 2.34/0.67 cnf(c27, plain,
% 2.34/0.67 distinct_points(X13,X14) | ~distinct_points(X14,X15),
% 2.34/0.67 inference(strict_predicate_extension, [assumptions([a16, a17])], [c24, c25])).
% 2.34/0.67
% 2.34/0.67 cnf(c28, plain,
% 2.34/0.67 ~distinct_points(X3,X4)).
% 2.34/0.67 cnf(a18, assumption,
% 2.34/0.67 X13 = X3).
% 2.34/0.67 cnf(a19, assumption,
% 2.34/0.67 X14 = X4).
% 2.34/0.67 cnf(c29, plain,
% 2.34/0.67 ~distinct_points(X14,X15),
% 2.34/0.67 inference(predicate_reduction, [assumptions([a18, a19])], [c27, c28])).
% 2.34/0.67
% 2.34/0.67 cnf(c30, axiom,
% 2.34/0.67 distinct_points(X16,X17) | ~apart_point_and_line(X16,line_connecting(X18,X17)) | ~distinct_points(X18,X17)).
% 2.34/0.67 cnf(a20, assumption,
% 2.34/0.67 X14 = X16).
% 2.34/0.67 cnf(a21, assumption,
% 2.34/0.67 X15 = X17).
% 2.34/0.67 cnf(c31, plain,
% 2.34/0.67 $false,
% 2.34/0.67 inference(strict_predicate_extension, [assumptions([a20, a21])], [c29, c30])).
% 2.34/0.67 cnf(c32, plain,
% 2.34/0.67 ~apart_point_and_line(X16,line_connecting(X18,X17)) | ~distinct_points(X18,X17),
% 2.34/0.67 inference(strict_predicate_extension, [assumptions([a20, a21])], [c29, c30])).
% 2.34/0.67
% 2.34/0.67 cnf(c33, plain,
% 2.34/0.67 apart_point_and_line(sK2,line_connecting(sK0,sK1))).
% 2.34/0.67 cnf(a22, assumption,
% 2.34/0.67 X16 = sK2).
% 2.34/0.67 cnf(a23, assumption,
% 2.34/0.67 line_connecting(X18,X17) = line_connecting(sK0,sK1)).
% 2.34/0.67 cnf(c34, plain,
% 2.34/0.67 ~distinct_points(X18,X17),
% 2.34/0.67 inference(predicate_reduction, [assumptions([a22, a23])], [c32, c33])).
% 2.34/0.67
% 2.34/0.67 cnf(c35, plain,
% 2.34/0.67 distinct_points(X8,X9)).
% 2.34/0.67 cnf(a24, assumption,
% 2.34/0.67 X18 = X8).
% 2.34/0.67 cnf(a25, assumption,
% 2.34/0.67 X17 = X9).
% 2.34/0.67 cnf(c36, plain,
% 2.34/0.67 $false,
% 2.34/0.67 inference(predicate_reduction, [assumptions([a24, a25])], [c34, c35])).
% 2.34/0.67
% 2.34/0.67 cnf(c37, plain,
% 2.34/0.67 apart_point_and_line(sK2,line_connecting(sK0,sK1))).
% 2.34/0.67 cnf(a26, assumption,
% 2.34/0.67 X10 = sK2).
% 2.34/0.67 cnf(a27, assumption,
% 2.34/0.67 X12 = line_connecting(sK0,sK1)).
% 2.34/0.67 cnf(c38, plain,
% 2.34/0.67 $false,
% 2.34/0.67 inference(predicate_reduction, [assumptions([a26, a27])], [c26, c37])).
% 2.34/0.67
% 2.34/0.67 cnf(c39, plain,
% 2.34/0.67 $false,
% 2.34/0.67 inference(constraint_solving, [
% 2.34/0.67 bind(X0, sK2),
% 2.34/0.67 bind(X1, line_connecting(X4,X5)),
% 2.34/0.67 bind(X2, line_connecting(sK0,sK1)),
% 2.34/0.67 bind(X3, sK2),
% 2.34/0.67 bind(X4, sK2),
% 2.34/0.67 bind(X5, sK0),
% 2.34/0.67 bind(X6, sK2),
% 2.34/0.67 bind(X7, sK2),
% 2.34/0.67 bind(X8, sK0),
% 2.34/0.67 bind(X9, sK1),
% 2.34/0.67 bind(X10, sK2),
% 2.34/0.67 bind(X11, line_connecting(sK2,sK1)),
% 2.34/0.67 bind(X12, line_connecting(sK0,sK1)),
% 2.34/0.67 bind(X13, sK2),
% 2.34/0.67 bind(X14, sK2),
% 2.34/0.67 bind(X15, sK1),
% 2.34/0.67 bind(X16, sK2),
% 2.34/0.67 bind(X17, sK1),
% 2.34/0.67 bind(X18, sK0)
% 2.34/0.67 ],
% 2.34/0.67 [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, a26, a27])).
% 2.34/0.67
% 2.34/0.67 % SZS output end IncompleteProof
%------------------------------------------------------------------------------