TSTP Solution File: GEO213+2 by ConnectPP---0.2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.2.2
% Problem : GEO213+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n020.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 : 300s
% DateTime : Wed Mar 6 09:03:06 EST 2024
% Result : Theorem 14.12s 14.28s
% Output : Proof 14.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO213+2 : TPTP v8.1.2. Released v3.3.0.
% 0.04/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34 % Computer : n020.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 : 300
% 0.13/0.34 % DateTime : Mon Mar 4 12:30:04 EST 2024
% 0.13/0.35 % CPUTime :
% 14.12/14.28 % SZS status Theorem for theBenchmark
% 14.12/14.28 % SZS output start Proof for theBenchmark
% 14.12/14.28
% 14.12/14.28 % Formula: apart1 ( axiom ) converted to clauses:
% 14.12/14.28 cnf(apart1-1, axiom, ( ~distinct_points(_u0, _u0) )).
% 14.12/14.28
% 14.12/14.28 % Formula: apart2 ( axiom ) converted to clauses:
% 14.12/14.28 cnf(apart2-1, axiom, ( ~distinct_lines(_u1, _u1) )).
% 14.12/14.28
% 14.12/14.28 % Formula: apart3 ( axiom ) converted to clauses:
% 14.12/14.28 cnf(apart3-1, axiom, ( ~convergent_lines(_u2, _u2) )).
% 14.12/14.28
% 14.12/14.28 % Formula: apart4 ( axiom ) converted to clauses:
% 14.12/14.28 cnf(apart4-1, axiom, ( ~distinct_points(_u5, _u4) | distinct_points(_u5, _u3) | distinct_points(_u4, _u3) )).
% 14.12/14.28
% 14.12/14.28 % Formula: apart5 ( axiom ) converted to clauses:
% 14.12/14.28 cnf(apart5-1, axiom, ( ~distinct_lines(_u8, _u7) | distinct_lines(_u8, _u6) | distinct_lines(_u7, _u6) )).
% 14.12/14.28
% 14.12/14.28 % Formula: apart6 ( axiom ) converted to clauses:
% 14.12/14.28 cnf(apart6-1, axiom, ( ~convergent_lines(_u11, _u10) | convergent_lines(_u11, _u9) | convergent_lines(_u10, _u9) )).
% 14.12/14.28
% 14.12/14.28 % Formula: con1 ( axiom ) converted to clauses:
% 14.12/14.28 cnf(con1-1, axiom, ( ~distinct_points(_u14, _u13) | ~apart_point_and_line(_u12, line_connecting(_u14, _u13)) | distinct_points(_u12, _u14) )).
% 14.12/14.28 cnf(con1-2, axiom, ( ~distinct_points(_u14, _u13) | ~apart_point_and_line(_u12, line_connecting(_u14, _u13)) | distinct_points(_u12, _u13) )).
% 14.12/14.28
% 14.12/14.28 % Formula: con2 ( axiom ) converted to clauses:
% 14.12/14.28 cnf(con2-1, axiom, ( ~convergent_lines(_u17, _u16) | distinct_points(_u15, intersection_point(_u17, _u16)) | ~apart_point_and_line(_u15, _u17) )).
% 14.12/14.28 cnf(con2-2, axiom, ( ~convergent_lines(_u17, _u16) | distinct_points(_u15, intersection_point(_u17, _u16)) | ~apart_point_and_line(_u15, _u16) )).
% 14.12/14.28
% 14.12/14.28 % Formula: cu1 ( axiom ) converted to clauses:
% 14.12/14.28 cnf(cu1-1, axiom, ( ~distinct_points(_u21, _u20) | ~distinct_lines(_u19, _u18) | apart_point_and_line(_u21, _u19) | apart_point_and_line(_u21, _u18) | apart_point_and_line(_u20, _u19) | apart_point_and_line(_u20, _u18) )).
% 14.12/14.28
% 14.12/14.28 % Formula: ceq1 ( axiom ) converted to clauses:
% 14.12/14.28 cnf(ceq1-1, axiom, ( ~apart_point_and_line(_u24, _u23) | distinct_points(_u24, _u22) | apart_point_and_line(_u22, _u23) )).
% 14.12/14.28
% 14.12/14.28 % Formula: ceq2 ( axiom ) converted to clauses:
% 14.12/14.28 cnf(ceq2-1, axiom, ( ~apart_point_and_line(_u27, _u26) | distinct_lines(_u26, _u25) | apart_point_and_line(_u27, _u25) )).
% 14.12/14.28
% 14.12/14.28 % Formula: ceq3 ( axiom ) converted to clauses:
% 14.12/14.28 cnf(ceq3-1, axiom, ( ~convergent_lines(_u29, _u28) | distinct_lines(_u29, _u28) )).
% 14.12/14.28
% 14.12/14.28 % Formula: cp1 ( axiom ) converted to clauses:
% 14.12/14.28 cnf(cp1-1, axiom, ( ~convergent_lines(parallel_through_point(_u30, _u31), _u30) )).
% 14.12/14.28
% 14.12/14.28 % Formula: cp2 ( axiom ) converted to clauses:
% 14.12/14.28 cnf(cp2-1, axiom, ( ~apart_point_and_line(_u33, parallel_through_point(_u32, _u33)) )).
% 14.12/14.28
% 14.12/14.28 % Formula: cup1 ( axiom ) converted to clauses:
% 14.12/14.28 cnf(cup1-1, axiom, ( ~distinct_lines(_u35, _u34) | apart_point_and_line(_u36, _u35) | apart_point_and_line(_u36, _u34) | convergent_lines(_u35, _u34) )).
% 14.12/14.28
% 14.12/14.28 % Formula: occu1 ( axiom ) converted to clauses:
% 14.12/14.28 cnf(occu1-1, axiom, ( convergent_lines(_u38, _u37) | unorthogonal_lines(_u38, _u37) )).
% 14.12/14.28
% 14.12/14.28 % Formula: oac1 ( axiom ) converted to clauses:
% 14.12/14.28 cnf(oac1-1, axiom, ( ~convergent_lines(_u41, _u40) | ~unorthogonal_lines(_u41, _u40) | convergent_lines(_u41, _u39) | convergent_lines(_u40, _u39) )).
% 14.12/14.28 cnf(oac1-2, axiom, ( ~convergent_lines(_u41, _u40) | ~unorthogonal_lines(_u41, _u40) | convergent_lines(_u41, _u39) | unorthogonal_lines(_u40, _u39) )).
% 14.12/14.28 cnf(oac1-3, axiom, ( ~convergent_lines(_u41, _u40) | ~unorthogonal_lines(_u41, _u40) | unorthogonal_lines(_u41, _u39) | convergent_lines(_u40, _u39) )).
% 14.12/14.28 cnf(oac1-4, axiom, ( ~convergent_lines(_u41, _u40) | ~unorthogonal_lines(_u41, _u40) | unorthogonal_lines(_u41, _u39) | unorthogonal_lines(_u40, _u39) )).
% 14.12/14.28
% 14.12/14.28 % Formula: ooc1 ( axiom ) converted to clauses:
% 14.12/14.28 cnf(ooc1-1, axiom, ( ~unorthogonal_lines(orthogonal_through_point(_u42, _u43), _u42) )).
% 14.12/14.28
% 14.12/14.28 % Formula: ooc2 ( axiom ) converted to clauses:
% 14.12/14.28 cnf(ooc2-1, axiom, ( ~apart_point_and_line(_u45, orthogonal_through_point(_u44, _u45)) )).
% 14.12/14.28
% 14.12/14.28 % Formula: ouo1 ( axiom ) converted to clauses:
% 14.12/14.28 cnf(ouo1-1, axiom, ( ~distinct_lines(_u48, _u47) | apart_point_and_line(_u49, _u48) | apart_point_and_line(_u49, _u47) | unorthogonal_lines(_u48, _u46) | unorthogonal_lines(_u47, _u46) )).
% 14.12/14.28
% 14.12/14.28 % Formula: con ( conjecture ) converted to clauses:
% 14.12/14.28 cnf(con-1, negated_conjecture, ( unorthogonal_lines(skolem1, skolem2) )).
% 14.12/14.28 cnf(con-2, negated_conjecture, ( ~distinct_lines(skolem1, skolem3) )).
% 14.12/14.28 cnf(con-3, negated_conjecture, ( ~unorthogonal_lines(skolem2, skolem3) )).
% 14.12/14.28
% 14.12/14.28 % Problem matrix:
% 14.12/14.28 cnf(matrix-0, plain, ( ~distinct_points(_u0, _u0) )).
% 14.12/14.28 cnf(matrix-1, plain, ( ~distinct_lines(_u1, _u1) )).
% 14.12/14.28 cnf(matrix-2, plain, ( ~convergent_lines(_u2, _u2) )).
% 14.12/14.28 cnf(matrix-3, plain, ( ~distinct_points(_u5, _u4) | distinct_points(_u5, _u3) | distinct_points(_u4, _u3) )).
% 14.12/14.28 cnf(matrix-4, plain, ( ~distinct_lines(_u8, _u7) | distinct_lines(_u8, _u6) | distinct_lines(_u7, _u6) )).
% 14.12/14.28 cnf(matrix-5, plain, ( ~convergent_lines(_u11, _u10) | convergent_lines(_u11, _u9) | convergent_lines(_u10, _u9) )).
% 14.12/14.28 cnf(matrix-6, plain, ( ~distinct_points(_u14, _u13) | ~apart_point_and_line(_u12, line_connecting(_u14, _u13)) | distinct_points(_u12, _u14) )).
% 14.12/14.28 cnf(matrix-7, plain, ( ~distinct_points(_u14, _u13) | ~apart_point_and_line(_u12, line_connecting(_u14, _u13)) | distinct_points(_u12, _u13) )).
% 14.12/14.28 cnf(matrix-8, plain, ( ~convergent_lines(_u17, _u16) | distinct_points(_u15, intersection_point(_u17, _u16)) | ~apart_point_and_line(_u15, _u17) )).
% 14.12/14.28 cnf(matrix-9, plain, ( ~convergent_lines(_u17, _u16) | distinct_points(_u15, intersection_point(_u17, _u16)) | ~apart_point_and_line(_u15, _u16) )).
% 14.12/14.28 cnf(matrix-10, plain, ( ~distinct_points(_u21, _u20) | ~distinct_lines(_u19, _u18) | apart_point_and_line(_u21, _u19) | apart_point_and_line(_u21, _u18) | apart_point_and_line(_u20, _u19) | apart_point_and_line(_u20, _u18) )).
% 14.12/14.28 cnf(matrix-11, plain, ( ~apart_point_and_line(_u24, _u23) | distinct_points(_u24, _u22) | apart_point_and_line(_u22, _u23) )).
% 14.12/14.28 cnf(matrix-12, plain, ( ~apart_point_and_line(_u27, _u26) | distinct_lines(_u26, _u25) | apart_point_and_line(_u27, _u25) )).
% 14.12/14.28 cnf(matrix-13, plain, ( ~convergent_lines(_u29, _u28) | distinct_lines(_u29, _u28) )).
% 14.12/14.28 cnf(matrix-14, plain, ( ~convergent_lines(parallel_through_point(_u30, _u31), _u30) )).
% 14.12/14.28 cnf(matrix-15, plain, ( ~apart_point_and_line(_u33, parallel_through_point(_u32, _u33)) )).
% 14.12/14.28 cnf(matrix-16, plain, ( ~distinct_lines(_u35, _u34) | apart_point_and_line(_u36, _u35) | apart_point_and_line(_u36, _u34) | convergent_lines(_u35, _u34) )).
% 14.12/14.28 cnf(matrix-17, plain, ( convergent_lines(_u38, _u37) | unorthogonal_lines(_u38, _u37) )).
% 14.12/14.28 cnf(matrix-18, plain, ( ~convergent_lines(_u41, _u40) | ~unorthogonal_lines(_u41, _u40) | convergent_lines(_u41, _u39) | convergent_lines(_u40, _u39) )).
% 14.12/14.28 cnf(matrix-19, plain, ( ~convergent_lines(_u41, _u40) | ~unorthogonal_lines(_u41, _u40) | convergent_lines(_u41, _u39) | unorthogonal_lines(_u40, _u39) )).
% 14.12/14.28 cnf(matrix-20, plain, ( ~convergent_lines(_u41, _u40) | ~unorthogonal_lines(_u41, _u40) | unorthogonal_lines(_u41, _u39) | convergent_lines(_u40, _u39) )).
% 14.12/14.28 cnf(matrix-21, plain, ( ~convergent_lines(_u41, _u40) | ~unorthogonal_lines(_u41, _u40) | unorthogonal_lines(_u41, _u39) | unorthogonal_lines(_u40, _u39) )).
% 14.12/14.28 cnf(matrix-22, plain, ( ~unorthogonal_lines(orthogonal_through_point(_u42, _u43), _u42) )).
% 14.12/14.28 cnf(matrix-23, plain, ( ~apart_point_and_line(_u45, orthogonal_through_point(_u44, _u45)) )).
% 14.12/14.28 cnf(matrix-24, plain, ( ~distinct_lines(_u48, _u47) | apart_point_and_line(_u49, _u48) | apart_point_and_line(_u49, _u47) | unorthogonal_lines(_u48, _u46) | unorthogonal_lines(_u47, _u46) )).
% 14.12/14.28 cnf(matrix-25, plain, ( unorthogonal_lines(skolem1, skolem2) )).
% 14.12/14.28 cnf(matrix-26, plain, ( ~distinct_lines(skolem1, skolem3) )).
% 14.12/14.28 cnf(matrix-27, plain, ( ~unorthogonal_lines(skolem2, skolem3) )).
% 14.12/14.28
% 14.12/14.28 % Proof stack:
% 14.12/14.28 cnf(proof-stack, plain,
% 14.12/14.28 proof_stack(
% 14.12/14.28 start(25),
% 14.12/14.28 left_branch(0, 18, 1, 2),
% 14.12/14.28 left_branch(0, 20, 3, 3),
% 14.12/14.28 left_branch(0, 18, 3, 4),
% 14.12/14.28 left_branch(0, 18, 2, 5),
% 14.12/14.28 left_branch(0, 17, 0, 6),
% 14.12/14.28 left_branch(0, 27, 0, 7),
% 14.12/14.28 right_branch(7),
% 14.12/14.28 right_branch(6),
% 14.12/14.28 left_branch(0, 13, 0, 7),
% 14.12/14.28 left_branch(0, 1, 0, 8),
% 14.12/14.28 right_branch(8),
% 14.12/14.28 right_branch(7),
% 14.12/14.28 left_branch(0, 17, 1, 8),
% 14.12/14.28 reduction(0, 3),
% 14.12/14.28 right_branch(8),
% 14.12/14.28 right_branch(5),
% 14.12/14.28 left_branch(0, 5, 0, 6),
% 14.12/14.28 reduction(0, 1),
% 14.12/14.28 left_branch(0, 13, 0, 8),
% 14.12/14.28 left_branch(0, 1, 0, 9),
% 14.12/14.28 right_branch(9),
% 14.12/14.28 right_branch(8),
% 14.12/14.28 right_branch(6),
% 14.12/14.28 left_branch(0, 17, 1, 7),
% 14.12/14.28 left_branch(0, 5, 0, 8),
% 14.12/14.28 reduction(0, 2),
% 14.12/14.28 lemmata(0, 1),
% 14.12/14.28 right_branch(8),
% 14.12/14.28 right_branch(7),
% 14.12/14.28 right_branch(4),
% 14.12/14.28 left_branch(0, 18, 1, 5),
% 14.12/14.28 left_branch(0, 5, 2, 6),
% 14.12/14.28 left_branch(0, 17, 0, 7),
% 14.12/14.28 left_branch(0, 27, 0, 8),
% 14.12/14.28 right_branch(8),
% 14.12/14.28 right_branch(7),
% 14.12/14.28 left_branch(0, 13, 0, 8),
% 14.12/14.28 left_branch(0, 1, 0, 9),
% 14.12/14.28 right_branch(9),
% 14.12/14.28 right_branch(8),
% 14.12/14.28 right_branch(6),
% 14.12/14.28 left_branch(0, 19, 0, 7),
% 14.12/14.28 left_branch(0, 27, 0, 8),
% 14.12/14.28 right_branch(8),
% 14.12/14.28 left_branch(0, 13, 0, 9),
% 14.12/14.28 left_branch(0, 1, 0, 10),
% 14.12/14.28 right_branch(10),
% 14.12/14.28 right_branch(9),
% 14.12/14.28 reduction(0, 2),
% 14.12/14.28 right_branch(7),
% 14.12/14.28 left_branch(0, 13, 0, 8),
% 14.12/14.28 left_branch(0, 1, 0, 9),
% 14.12/14.28 right_branch(9),
% 14.12/14.28 right_branch(8),
% 14.12/14.28 right_branch(5),
% 14.12/14.28 left_branch(0, 17, 1, 6),
% 14.12/14.28 left_branch(0, 13, 0, 7),
% 14.12/14.28 left_branch(0, 4, 0, 8),
% 14.12/14.28 left_branch(0, 26, 0, 9),
% 14.12/14.28 right_branch(9),
% 14.12/14.28 left_branch(0, 1, 0, 10),
% 14.12/14.28 right_branch(10),
% 14.12/14.28 right_branch(8),
% 14.12/14.28 right_branch(7),
% 14.12/14.28 right_branch(6),
% 14.12/14.28 right_branch(3),
% 14.12/14.28 left_branch(0, 19, 0, 4),
% 14.12/14.28 left_branch(0, 27, 0, 5),
% 14.12/14.28 right_branch(5),
% 14.12/14.28 left_branch(0, 13, 0, 6),
% 14.12/14.28 left_branch(0, 26, 0, 7),
% 14.12/14.28 right_branch(7),
% 14.12/14.28 right_branch(6),
% 14.12/14.28 reduction(0, 0),
% 14.12/14.28 right_branch(4),
% 14.12/14.28 left_branch(0, 21, 0, 5),
% 14.12/14.28 left_branch(0, 27, 0, 6),
% 14.12/14.28 right_branch(6),
% 14.12/14.28 lemmata(0, 2),
% 14.12/14.28 left_branch(0, 24, 4, 8),
% 14.12/14.28 left_branch(0, 13, 1, 9),
% 14.12/14.28 reduction(0, 1),
% 14.12/14.28 right_branch(9),
% 14.12/14.28 reduction(0, 2),
% 14.12/14.28 left_branch(0, 11, 0, 11),
% 14.12/14.28 left_branch(0, 9, 2, 12),
% 14.12/14.28 reduction(0, 1),
% 14.12/14.28 left_branch(0, 0, 0, 14),
% 14.12/14.28 right_branch(14),
% 14.12/14.28 right_branch(12),
% 14.12/14.28 left_branch(0, 0, 0, 13),
% 14.12/14.28 right_branch(13),
% 14.12/14.28 right_branch(11),
% 14.12/14.28 lemmata(0, 5),
% 14.12/14.28 right_branch(8),
% 14.12/14.28 right_branch(5),
% 14.12/14.28 right_branch(2)
% 14.12/14.28 )).
% 14.12/14.28 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------