TSTP Solution File: GEO222+1 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : GEO222+1 : 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 : n019.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 : Mon Mar 25 14:12:08 EDT 2024
% Result : Theorem 2.32s 2.64s
% Output : Proof 2.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : GEO222+1 : TPTP v8.1.2. Released v3.3.0.
% 0.05/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.09/0.34 % Computer : n019.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8042.1875MB
% 0.09/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Thu Mar 21 10:12:03 EDT 2024
% 0.09/0.34 % CPUTime :
% 2.32/2.64 % SZS status Theorem for theBenchmark
% 2.32/2.64 % SZS output start Proof for theBenchmark
% 2.32/2.64
% 2.32/2.64 % Formula: apart1 ( axiom ) converted to clauses:
% 2.32/2.64 cnf(apart1-1, axiom, ( ~distinct_points(_u0, _u0) )).
% 2.32/2.64
% 2.32/2.64 % Formula: apart2 ( axiom ) converted to clauses:
% 2.32/2.64 cnf(apart2-1, axiom, ( ~distinct_lines(_u1, _u1) )).
% 2.32/2.64
% 2.32/2.64 % Formula: apart3 ( axiom ) converted to clauses:
% 2.32/2.64 cnf(apart3-1, axiom, ( ~convergent_lines(_u2, _u2) )).
% 2.32/2.64
% 2.32/2.64 % Formula: apart4 ( axiom ) converted to clauses:
% 2.32/2.64 cnf(apart4-1, axiom, ( ~distinct_points(_u5, _u4) | distinct_points(_u5, _u3) | distinct_points(_u4, _u3) )).
% 2.32/2.64
% 2.32/2.64 % Formula: apart5 ( axiom ) converted to clauses:
% 2.32/2.64 cnf(apart5-1, axiom, ( ~distinct_lines(_u8, _u7) | distinct_lines(_u8, _u6) | distinct_lines(_u7, _u6) )).
% 2.32/2.64
% 2.32/2.64 % Formula: ax6 ( axiom ) converted to clauses:
% 2.32/2.64 cnf(ax6-1, axiom, ( ~convergent_lines(_u11, _u10) | convergent_lines(_u11, _u9) | convergent_lines(_u10, _u9) )).
% 2.32/2.64
% 2.32/2.64 % Formula: ci1 ( axiom ) converted to clauses:
% 2.32/2.64 cnf(ci1-1, axiom, ( ~distinct_points(_u13, _u12) | ~apart_point_and_line(_u13, line_connecting(_u13, _u12)) )).
% 2.32/2.64
% 2.32/2.64 % Formula: ci2 ( axiom ) converted to clauses:
% 2.32/2.64 cnf(ci2-1, axiom, ( ~distinct_points(_u15, _u14) | ~apart_point_and_line(_u14, line_connecting(_u15, _u14)) )).
% 2.32/2.64
% 2.32/2.64 % Formula: ci3 ( axiom ) converted to clauses:
% 2.32/2.64 cnf(ci3-1, axiom, ( ~convergent_lines(_u17, _u16) | ~apart_point_and_line(intersection_point(_u17, _u16), _u17) )).
% 2.32/2.64
% 2.32/2.64 % Formula: ci4 ( axiom ) converted to clauses:
% 2.32/2.64 cnf(ci4-1, axiom, ( ~convergent_lines(_u19, _u18) | ~apart_point_and_line(intersection_point(_u19, _u18), _u18) )).
% 2.32/2.64
% 2.32/2.64 % Formula: cu1 ( axiom ) converted to clauses:
% 2.32/2.64 cnf(cu1-1, axiom, ( ~distinct_points(_u23, _u22) | ~distinct_lines(_u21, _u20) | apart_point_and_line(_u23, _u21) | apart_point_and_line(_u23, _u20) | apart_point_and_line(_u22, _u21) | apart_point_and_line(_u22, _u20) )).
% 2.32/2.64
% 2.32/2.64 % Formula: ceq1 ( axiom ) converted to clauses:
% 2.32/2.64 cnf(ceq1-1, axiom, ( ~apart_point_and_line(_u26, _u25) | distinct_points(_u26, _u24) | apart_point_and_line(_u24, _u25) )).
% 2.32/2.64
% 2.32/2.64 % Formula: ceq2 ( axiom ) converted to clauses:
% 2.32/2.64 cnf(ceq2-1, axiom, ( ~apart_point_and_line(_u29, _u28) | distinct_lines(_u28, _u27) | apart_point_and_line(_u29, _u27) )).
% 2.32/2.64
% 2.32/2.64 % Formula: ceq3 ( axiom ) converted to clauses:
% 2.32/2.64 cnf(ceq3-1, axiom, ( ~convergent_lines(_u32, _u31) | distinct_lines(_u31, _u30) | convergent_lines(_u32, _u30) )).
% 2.32/2.64
% 2.32/2.64 % Formula: cp1 ( axiom ) converted to clauses:
% 2.32/2.64 cnf(cp1-1, axiom, ( ~convergent_lines(parallel_through_point(_u33, _u34), _u33) )).
% 2.32/2.64
% 2.32/2.64 % Formula: cp2 ( axiom ) converted to clauses:
% 2.32/2.64 cnf(cp2-1, axiom, ( ~apart_point_and_line(_u36, parallel_through_point(_u35, _u36)) )).
% 2.32/2.64
% 2.32/2.64 % Formula: cup1 ( axiom ) converted to clauses:
% 2.32/2.64 cnf(cup1-1, axiom, ( ~distinct_lines(_u38, _u37) | apart_point_and_line(_u39, _u38) | apart_point_and_line(_u39, _u37) | convergent_lines(_u38, _u37) )).
% 2.32/2.64
% 2.32/2.64 % Formula: occu1 ( axiom ) converted to clauses:
% 2.32/2.64 cnf(occu1-1, axiom, ( convergent_lines(_u41, _u40) | unorthogonal_lines(_u41, _u40) )).
% 2.32/2.64
% 2.32/2.64 % Formula: oac1 ( axiom ) converted to clauses:
% 2.32/2.64 cnf(oac1-1, axiom, ( ~convergent_lines(_u44, _u43) | ~unorthogonal_lines(_u44, _u43) | convergent_lines(_u44, _u42) | convergent_lines(_u43, _u42) )).
% 2.32/2.64 cnf(oac1-2, axiom, ( ~convergent_lines(_u44, _u43) | ~unorthogonal_lines(_u44, _u43) | convergent_lines(_u44, _u42) | unorthogonal_lines(_u43, _u42) )).
% 2.32/2.64 cnf(oac1-3, axiom, ( ~convergent_lines(_u44, _u43) | ~unorthogonal_lines(_u44, _u43) | unorthogonal_lines(_u44, _u42) | convergent_lines(_u43, _u42) )).
% 2.32/2.64 cnf(oac1-4, axiom, ( ~convergent_lines(_u44, _u43) | ~unorthogonal_lines(_u44, _u43) | unorthogonal_lines(_u44, _u42) | unorthogonal_lines(_u43, _u42) )).
% 2.32/2.64
% 2.32/2.64 % Formula: ooc1 ( axiom ) converted to clauses:
% 2.32/2.64 cnf(ooc1-1, axiom, ( ~unorthogonal_lines(orthogonal_through_point(_u45, _u46), _u45) )).
% 2.32/2.64
% 2.32/2.64 % Formula: ooc2 ( axiom ) converted to clauses:
% 2.32/2.64 cnf(ooc2-1, axiom, ( ~apart_point_and_line(_u48, orthogonal_through_point(_u47, _u48)) )).
% 2.32/2.64
% 2.32/2.64 % Formula: ouo1 ( axiom ) converted to clauses:
% 2.32/2.64 cnf(ouo1-1, axiom, ( ~distinct_lines(_u51, _u50) | apart_point_and_line(_u52, _u51) | apart_point_and_line(_u52, _u50) | unorthogonal_lines(_u51, _u49) | unorthogonal_lines(_u50, _u49) )).
% 2.32/2.64
% 2.32/2.64 % Formula: con ( conjecture ) (definitionally) converted to clauses:
% 2.32/2.64 cnf(con-1, negated_conjecture, ( convergent_lines(skolem2, orthogonal_through_point(orthogonal_through_point(skolem2, skolem1), skolem1)) )).
% 2.32/2.64
% 2.32/2.64 % Problem matrix:
% 2.32/2.64 cnf(matrix-0, plain, ( ~distinct_points(_u0, _u0) )).
% 2.32/2.64 cnf(matrix-1, plain, ( ~distinct_lines(_u1, _u1) )).
% 2.32/2.64 cnf(matrix-2, plain, ( ~convergent_lines(_u2, _u2) )).
% 2.32/2.64 cnf(matrix-3, plain, ( ~distinct_points(_u5, _u4) | distinct_points(_u5, _u3) | distinct_points(_u4, _u3) )).
% 2.32/2.64 cnf(matrix-4, plain, ( ~distinct_lines(_u8, _u7) | distinct_lines(_u8, _u6) | distinct_lines(_u7, _u6) )).
% 2.32/2.64 cnf(matrix-5, plain, ( ~convergent_lines(_u11, _u10) | convergent_lines(_u11, _u9) | convergent_lines(_u10, _u9) )).
% 2.32/2.64 cnf(matrix-6, plain, ( ~distinct_points(_u13, _u12) | ~apart_point_and_line(_u13, line_connecting(_u13, _u12)) )).
% 2.32/2.64 cnf(matrix-7, plain, ( ~distinct_points(_u15, _u14) | ~apart_point_and_line(_u14, line_connecting(_u15, _u14)) )).
% 2.32/2.64 cnf(matrix-8, plain, ( ~convergent_lines(_u17, _u16) | ~apart_point_and_line(intersection_point(_u17, _u16), _u17) )).
% 2.32/2.64 cnf(matrix-9, plain, ( ~convergent_lines(_u19, _u18) | ~apart_point_and_line(intersection_point(_u19, _u18), _u18) )).
% 2.32/2.64 cnf(matrix-10, plain, ( ~distinct_points(_u23, _u22) | ~distinct_lines(_u21, _u20) | apart_point_and_line(_u23, _u21) | apart_point_and_line(_u23, _u20) | apart_point_and_line(_u22, _u21) | apart_point_and_line(_u22, _u20) )).
% 2.32/2.64 cnf(matrix-11, plain, ( ~apart_point_and_line(_u26, _u25) | distinct_points(_u26, _u24) | apart_point_and_line(_u24, _u25) )).
% 2.32/2.64 cnf(matrix-12, plain, ( ~apart_point_and_line(_u29, _u28) | distinct_lines(_u28, _u27) | apart_point_and_line(_u29, _u27) )).
% 2.32/2.64 cnf(matrix-13, plain, ( ~convergent_lines(_u32, _u31) | distinct_lines(_u31, _u30) | convergent_lines(_u32, _u30) )).
% 2.32/2.64 cnf(matrix-14, plain, ( ~convergent_lines(parallel_through_point(_u33, _u34), _u33) )).
% 2.32/2.64 cnf(matrix-15, plain, ( ~apart_point_and_line(_u36, parallel_through_point(_u35, _u36)) )).
% 2.32/2.64 cnf(matrix-16, plain, ( ~distinct_lines(_u38, _u37) | apart_point_and_line(_u39, _u38) | apart_point_and_line(_u39, _u37) | convergent_lines(_u38, _u37) )).
% 2.32/2.64 cnf(matrix-17, plain, ( convergent_lines(_u41, _u40) | unorthogonal_lines(_u41, _u40) )).
% 2.32/2.64 cnf(matrix-18, plain, ( ~convergent_lines(_u44, _u43) | ~unorthogonal_lines(_u44, _u43) | convergent_lines(_u44, _u42) | convergent_lines(_u43, _u42) )).
% 2.32/2.64 cnf(matrix-19, plain, ( ~convergent_lines(_u44, _u43) | ~unorthogonal_lines(_u44, _u43) | convergent_lines(_u44, _u42) | unorthogonal_lines(_u43, _u42) )).
% 2.32/2.64 cnf(matrix-20, plain, ( ~convergent_lines(_u44, _u43) | ~unorthogonal_lines(_u44, _u43) | unorthogonal_lines(_u44, _u42) | convergent_lines(_u43, _u42) )).
% 2.32/2.64 cnf(matrix-21, plain, ( ~convergent_lines(_u44, _u43) | ~unorthogonal_lines(_u44, _u43) | unorthogonal_lines(_u44, _u42) | unorthogonal_lines(_u43, _u42) )).
% 2.32/2.64 cnf(matrix-22, plain, ( ~unorthogonal_lines(orthogonal_through_point(_u45, _u46), _u45) )).
% 2.32/2.64 cnf(matrix-23, plain, ( ~apart_point_and_line(_u48, orthogonal_through_point(_u47, _u48)) )).
% 2.32/2.64 cnf(matrix-24, plain, ( ~distinct_lines(_u51, _u50) | apart_point_and_line(_u52, _u51) | apart_point_and_line(_u52, _u50) | unorthogonal_lines(_u51, _u49) | unorthogonal_lines(_u50, _u49) )).
% 2.32/2.64 cnf(matrix-25, plain, ( convergent_lines(skolem2, orthogonal_through_point(orthogonal_through_point(skolem2, skolem1), skolem1)) )).
% 2.32/2.64
% 2.32/2.64 % Proof stack:
% 2.32/2.64 cnf(proof-stack, plain,
% 2.32/2.64 proof_stack(
% 2.32/2.64 start(8),
% 2.32/2.64 left_branch(0, 25, 0, 2),
% 2.32/2.64 right_branch(2),
% 2.32/2.64 left_branch(0, 24, 2, 3),
% 2.32/2.64 left_branch(0, 13, 1, 4),
% 2.32/2.64 left_branch(0, 25, 0, 5),
% 2.32/2.64 right_branch(5),
% 2.32/2.64 left_branch(0, 13, 0, 6),
% 2.32/2.64 left_branch(0, 13, 0, 7),
% 2.32/2.64 left_branch(0, 2, 0, 8),
% 2.32/2.64 right_branch(8),
% 2.32/2.64 reduction(0, 1),
% 2.32/2.64 right_branch(7),
% 2.32/2.64 left_branch(0, 4, 0, 8),
% 2.32/2.64 reduction(0, 1),
% 2.32/2.64 left_branch(0, 1, 0, 10),
% 2.32/2.64 right_branch(10),
% 2.32/2.64 right_branch(8),
% 2.32/2.64 right_branch(6),
% 2.32/2.64 right_branch(4),
% 2.32/2.64 left_branch(0, 22, 0, 5),
% 2.32/2.64 right_branch(5),
% 2.32/2.64 left_branch(0, 18, 1, 6),
% 2.32/2.64 left_branch(0, 5, 2, 7),
% 2.32/2.64 left_branch(0, 17, 0, 8),
% 2.32/2.64 left_branch(0, 22, 0, 9),
% 2.32/2.64 right_branch(9),
% 2.32/2.64 right_branch(8),
% 2.32/2.64 left_branch(0, 13, 0, 9),
% 2.32/2.64 left_branch(0, 2, 0, 10),
% 2.32/2.64 right_branch(10),
% 2.32/2.64 left_branch(0, 1, 0, 11),
% 2.32/2.64 right_branch(11),
% 2.32/2.64 right_branch(9),
% 2.32/2.64 right_branch(7),
% 2.32/2.64 left_branch(0, 13, 0, 8),
% 2.32/2.64 left_branch(0, 19, 0, 9),
% 2.32/2.64 left_branch(0, 22, 0, 10),
% 2.32/2.64 right_branch(10),
% 2.32/2.64 left_branch(0, 2, 0, 11),
% 2.32/2.64 right_branch(11),
% 2.32/2.64 reduction(0, 1),
% 2.32/2.64 right_branch(9),
% 2.32/2.64 left_branch(0, 24, 0, 10),
% 2.32/2.64 left_branch(0, 22, 0, 11),
% 2.32/2.64 right_branch(11),
% 2.32/2.64 left_branch(0, 22, 0, 12),
% 2.32/2.64 right_branch(12),
% 2.32/2.64 left_branch(0, 23, 0, 13),
% 2.32/2.64 right_branch(13),
% 2.32/2.64 left_branch(0, 23, 0, 14),
% 2.32/2.64 right_branch(14),
% 2.32/2.64 right_branch(10),
% 2.32/2.64 right_branch(8),
% 2.32/2.64 left_branch(0, 13, 0, 9),
% 2.32/2.64 left_branch(0, 13, 0, 10),
% 2.32/2.64 left_branch(0, 2, 0, 11),
% 2.32/2.64 right_branch(11),
% 2.32/2.64 left_branch(0, 1, 0, 12),
% 2.32/2.64 right_branch(12),
% 2.32/2.64 right_branch(10),
% 2.32/2.64 left_branch(0, 24, 0, 11),
% 2.32/2.64 left_branch(0, 22, 0, 12),
% 2.32/2.64 right_branch(12),
% 2.32/2.64 lemmata(0, 6),
% 2.32/2.64 left_branch(0, 23, 0, 14),
% 2.32/2.64 right_branch(14),
% 2.32/2.64 lemmata(0, 7),
% 2.32/2.64 right_branch(11),
% 2.32/2.64 right_branch(9),
% 2.32/2.64 right_branch(6),
% 2.32/2.64 left_branch(0, 9, 1, 7),
% 2.32/2.64 lemmata(0, 0),
% 2.32/2.64 right_branch(7),
% 2.32/2.64 right_branch(3)
% 2.32/2.64 )).
% 2.32/2.64 % SZS output end Proof for theBenchmark
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