TSTP Solution File: GEO187+3 by lazyCoP---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : GEO187+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 : n025.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 04:59:43 EDT 2022
% Result : Theorem 47.76s 6.74s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO187+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % 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 05:17:28 EDT 2022
% 0.13/0.33 % CPUTime :
% 47.76/6.74 % SZS status Theorem
% 47.76/6.74 % SZS output begin IncompleteProof
% 47.76/6.74 cnf(c0, axiom,
% 47.76/6.74 ~incident_point_and_line(sK5,line_connecting(sK2,sK3)) | ~incident_point_and_line(sK4,line_connecting(sK2,sK3))).
% 47.76/6.74 cnf(c1, plain,
% 47.76/6.74 ~incident_point_and_line(sK5,line_connecting(sK2,sK3)) | ~incident_point_and_line(sK4,line_connecting(sK2,sK3)),
% 47.76/6.74 inference(start, [], [c0])).
% 47.76/6.74
% 47.76/6.74 cnf(c2, axiom,
% 47.76/6.74 incident_point_and_line(X0,X1) | apart_point_and_line(X0,X1)).
% 47.76/6.74 cnf(a0, assumption,
% 47.76/6.74 sK5 = X0).
% 47.76/6.74 cnf(a1, assumption,
% 47.76/6.74 line_connecting(sK2,sK3) = X1).
% 47.76/6.74 cnf(c3, plain,
% 47.76/6.74 ~incident_point_and_line(sK4,line_connecting(sK2,sK3)),
% 47.76/6.74 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 47.76/6.74 cnf(c4, plain,
% 47.76/6.74 apart_point_and_line(X0,X1),
% 47.76/6.74 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 47.76/6.74
% 47.76/6.74 cnf(c5, axiom,
% 47.76/6.74 apart_point_and_line(X2,X3) | distinct_lines(X4,X3) | ~apart_point_and_line(X2,X4)).
% 47.76/6.74 cnf(a2, assumption,
% 47.76/6.74 X0 = X2).
% 47.76/6.74 cnf(a3, assumption,
% 47.76/6.74 X1 = X4).
% 47.76/6.74 cnf(c6, plain,
% 47.76/6.74 $false,
% 47.76/6.74 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])).
% 47.76/6.74 cnf(c7, plain,
% 47.76/6.74 apart_point_and_line(X2,X3) | distinct_lines(X4,X3),
% 47.76/6.74 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])).
% 47.76/6.74
% 47.76/6.74 cnf(c8, axiom,
% 47.76/6.74 ~apart_point_and_line(X5,parallel_through_point(X6,X5))).
% 47.76/6.74 cnf(a4, assumption,
% 47.76/6.74 X2 = X5).
% 47.76/6.74 cnf(a5, assumption,
% 47.76/6.74 X3 = parallel_through_point(X6,X5)).
% 47.76/6.74 cnf(c9, plain,
% 47.76/6.74 distinct_lines(X4,X3),
% 47.76/6.74 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])).
% 47.76/6.74 cnf(c10, plain,
% 47.76/6.74 $false,
% 47.76/6.74 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])).
% 47.76/6.74
% 47.76/6.74 cnf(c11, axiom,
% 47.76/6.74 distinct_lines(X7,X8) | distinct_lines(X9,X8) | ~distinct_lines(X9,X7)).
% 47.76/6.74 cnf(a6, assumption,
% 47.76/6.74 X4 = X9).
% 47.76/6.74 cnf(a7, assumption,
% 47.76/6.74 X3 = X7).
% 47.76/6.74 cnf(c12, plain,
% 47.76/6.74 $false,
% 47.76/6.74 inference(strict_predicate_extension, [assumptions([a6, a7])], [c9, c11])).
% 47.76/6.74 cnf(c13, plain,
% 47.76/6.74 distinct_lines(X7,X8) | distinct_lines(X9,X8),
% 47.76/6.74 inference(strict_predicate_extension, [assumptions([a6, a7])], [c9, c11])).
% 47.76/6.74
% 47.76/6.74 cnf(c14, axiom,
% 47.76/6.74 convergent_lines(X10,X11) | ~distinct_lines(X10,X11)).
% 47.76/6.74 cnf(a8, assumption,
% 47.76/6.74 X7 = X10).
% 47.76/6.74 cnf(a9, assumption,
% 47.76/6.74 X8 = X11).
% 47.76/6.74 cnf(c15, plain,
% 47.76/6.74 distinct_lines(X9,X8),
% 47.76/6.74 inference(strict_predicate_extension, [assumptions([a8, a9])], [c13, c14])).
% 47.76/6.74 cnf(c16, plain,
% 47.76/6.74 convergent_lines(X10,X11),
% 47.76/6.74 inference(strict_predicate_extension, [assumptions([a8, a9])], [c13, c14])).
% 47.76/6.74
% 47.76/6.74 cnf(c17, axiom,
% 47.76/6.74 ~convergent_lines(parallel_through_point(X12,X13),X12)).
% 47.76/6.74 cnf(a10, assumption,
% 47.76/6.74 X10 = parallel_through_point(X12,X13)).
% 47.76/6.74 cnf(a11, assumption,
% 47.76/6.74 X11 = X12).
% 47.76/6.74 cnf(c18, plain,
% 47.76/6.74 $false,
% 47.76/6.74 inference(strict_predicate_extension, [assumptions([a10, a11])], [c16, c17])).
% 47.76/6.74 cnf(c19, plain,
% 47.76/6.74 $false,
% 47.76/6.74 inference(strict_predicate_extension, [assumptions([a10, a11])], [c16, c17])).
% 47.76/6.74
% 47.76/6.74 cnf(c20, axiom,
% 47.76/6.74 distinct_lines(X14,X15) | distinct_lines(X16,X15) | ~distinct_lines(X16,X14)).
% 47.76/6.74 cnf(a12, assumption,
% 47.76/6.74 X9 = X16).
% 47.76/6.74 cnf(a13, assumption,
% 47.76/6.74 X8 = X14).
% 47.76/6.74 cnf(c21, plain,
% 47.76/6.74 $false,
% 47.76/6.74 inference(strict_predicate_extension, [assumptions([a12, a13])], [c15, c20])).
% 47.76/6.74 cnf(c22, plain,
% 47.76/6.74 distinct_lines(X14,X15) | distinct_lines(X16,X15),
% 47.76/6.74 inference(strict_predicate_extension, [assumptions([a12, a13])], [c15, c20])).
% 47.76/6.74
% 47.76/6.74 cnf(c23, axiom,
% 47.76/6.74 convergent_lines(X17,X18) | ~distinct_lines(X17,X18)).
% 47.76/6.74 cnf(a14, assumption,
% 47.76/6.74 X14 = X17).
% 47.76/6.74 cnf(a15, assumption,
% 47.76/6.74 X15 = X18).
% 47.76/6.74 cnf(c24, plain,
% 47.76/6.74 distinct_lines(X16,X15),
% 47.76/6.74 inference(strict_predicate_extension, [assumptions([a14, a15])], [c22, c23])).
% 47.76/6.74 cnf(c25, plain,
% 47.76/6.74 convergent_lines(X17,X18),
% 47.76/6.74 inference(strict_predicate_extension, [assumptions([a14, a15])], [c22, c23])).
% 47.76/6.74
% 47.76/6.74 cnf(c26, axiom,
% 47.76/6.74 ~convergent_lines(parallel_through_point(X19,X20),X19)).
% 47.76/6.74 cnf(a16, assumption,
% 47.76/6.74 X17 = parallel_through_point(X19,X20)).
% 47.76/6.74 cnf(a17, assumption,
% 47.76/6.74 X18 = X19).
% 47.76/6.74 cnf(c27, plain,
% 47.76/6.74 $false,
% 47.76/6.74 inference(strict_predicate_extension, [assumptions([a16, a17])], [c25, c26])).
% 47.76/6.74 cnf(c28, plain,
% 47.76/6.74 $false,
% 47.76/6.74 inference(strict_predicate_extension, [assumptions([a16, a17])], [c25, c26])).
% 47.76/6.74
% 47.76/6.74 cnf(c29, axiom,
% 47.76/6.74 ~distinct_lines(X21,X21)).
% 47.76/6.74 cnf(a18, assumption,
% 47.76/6.74 X16 = X21).
% 47.76/6.74 cnf(a19, assumption,
% 47.76/6.74 X15 = X21).
% 47.76/6.74 cnf(c30, plain,
% 47.76/6.74 $false,
% 47.76/6.74 inference(strict_predicate_extension, [assumptions([a18, a19])], [c24, c29])).
% 47.76/6.74 cnf(c31, plain,
% 47.76/6.74 $false,
% 47.76/6.74 inference(strict_predicate_extension, [assumptions([a18, a19])], [c24, c29])).
% 47.76/6.74
% 47.76/6.74 cnf(c32, axiom,
% 47.76/6.74 incident_point_and_line(X22,X23) | apart_point_and_line(X22,X23)).
% 47.76/6.74 cnf(a20, assumption,
% 47.76/6.74 sK4 = X22).
% 47.76/6.74 cnf(a21, assumption,
% 47.76/6.74 line_connecting(sK2,sK3) = X23).
% 47.76/6.74 cnf(c33, plain,
% 47.76/6.74 $false,
% 47.76/6.74 inference(strict_predicate_extension, [assumptions([a20, a21])], [c3, c32])).
% 47.76/6.74 cnf(c34, plain,
% 47.76/6.74 apart_point_and_line(X22,X23),
% 47.76/6.74 inference(strict_predicate_extension, [assumptions([a20, a21])], [c3, c32])).
% 47.76/6.74
% 47.76/6.74 cnf(c35, axiom,
% 47.76/6.74 apart_point_and_line(X24,X25) | distinct_lines(X26,X25) | ~apart_point_and_line(X24,X26)).
% 47.76/6.74 cnf(a22, assumption,
% 47.76/6.74 X22 = X24).
% 47.76/6.74 cnf(a23, assumption,
% 47.76/6.74 X23 = X26).
% 47.76/6.74 cnf(c36, plain,
% 47.76/6.74 $false,
% 47.76/6.74 inference(strict_predicate_extension, [assumptions([a22, a23])], [c34, c35])).
% 47.76/6.74 cnf(c37, plain,
% 47.76/6.74 apart_point_and_line(X24,X25) | distinct_lines(X26,X25),
% 47.76/6.74 inference(strict_predicate_extension, [assumptions([a22, a23])], [c34, c35])).
% 47.76/6.74
% 47.76/6.74 cnf(c38, axiom,
% 47.76/6.74 ~apart_point_and_line(X27,parallel_through_point(X28,X27))).
% 47.76/6.74 cnf(a24, assumption,
% 47.76/6.74 X24 = X27).
% 47.76/6.74 cnf(a25, assumption,
% 47.76/6.74 X25 = parallel_through_point(X28,X27)).
% 47.76/6.74 cnf(c39, plain,
% 47.76/6.74 distinct_lines(X26,X25),
% 47.76/6.74 inference(strict_predicate_extension, [assumptions([a24, a25])], [c37, c38])).
% 47.76/6.74 cnf(c40, plain,
% 47.76/6.74 $false,
% 47.76/6.74 inference(strict_predicate_extension, [assumptions([a24, a25])], [c37, c38])).
% 47.76/6.74
% 47.76/6.74 cnf(c41, plain,
% 47.76/6.74 ~distinct_lines(X9,X8)).
% 47.76/6.74 cnf(a26, assumption,
% 47.76/6.74 X26 = X9).
% 47.76/6.74 cnf(a27, assumption,
% 47.76/6.74 X25 = X8).
% 47.76/6.74 cnf(c42, plain,
% 47.76/6.74 $false,
% 47.76/6.74 inference(predicate_reduction, [assumptions([a26, a27])], [c39, c41])).
% 47.76/6.74
% 47.76/6.74 cnf(c43, plain,
% 47.76/6.74 $false,
% 47.76/6.74 inference(constraint_solving, [
% 47.76/6.74 bind(X0, sK5),
% 47.76/6.74 bind(X1, line_connecting(sK2,sK3)),
% 47.76/6.74 bind(X2, sK5),
% 47.76/6.74 bind(X3, parallel_through_point(X6,X5)),
% 47.76/6.74 bind(X4, line_connecting(sK2,sK3)),
% 47.76/6.74 bind(X5, sK5),
% 47.76/6.74 bind(X6, parallel_through_point(X19,X20)),
% 47.76/6.74 bind(X7, parallel_through_point(X6,X5)),
% 47.76/6.74 bind(X8, parallel_through_point(X19,X20)),
% 47.76/6.74 bind(X9, line_connecting(sK2,sK3)),
% 47.76/6.74 bind(X10, parallel_through_point(X6,X5)),
% 47.76/6.74 bind(X11, parallel_through_point(X19,X20)),
% 47.76/6.74 bind(X12, parallel_through_point(X19,X20)),
% 47.76/6.74 bind(X13, sK5),
% 47.76/6.74 bind(X14, parallel_through_point(X19,X20)),
% 47.76/6.74 bind(X15, line_connecting(sK2,sK3)),
% 47.76/6.74 bind(X16, line_connecting(sK2,sK3)),
% 47.76/6.74 bind(X17, parallel_through_point(X19,X20)),
% 47.76/6.74 bind(X18, line_connecting(sK2,sK3)),
% 47.76/6.74 bind(X19, line_connecting(sK2,sK3)),
% 47.76/6.74 bind(X20, sK4),
% 47.76/6.74 bind(X21, line_connecting(sK2,sK3)),
% 47.76/6.74 bind(X22, sK4),
% 47.76/6.74 bind(X23, line_connecting(sK2,sK3)),
% 47.76/6.74 bind(X24, sK4),
% 47.76/6.74 bind(X25, parallel_through_point(X28,X27)),
% 47.76/6.74 bind(X26, line_connecting(sK2,sK3)),
% 47.76/6.74 bind(X27, sK4),
% 47.76/6.74 bind(X28, line_connecting(sK2,sK3))
% 47.76/6.74 ],
% 47.76/6.74 [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])).
% 47.76/6.74
% 47.76/6.74 % SZS output end IncompleteProof
%------------------------------------------------------------------------------