TSTP Solution File: GEO219+1 by ConnectPP---0.3.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : GEO219+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 : n013.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 14:12:06 EDT 2024
% Result : Theorem 0.20s 0.43s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO219+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34 % Computer : n013.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 : Thu Mar 21 10:50:03 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.43 % SZS status Theorem for theBenchmark
% 0.20/0.43 % SZS output start Proof for theBenchmark
% 0.20/0.43
% 0.20/0.43 % Formula: apart1 ( axiom ) converted to clauses:
% 0.20/0.43 cnf(apart1-1, axiom, ( ~distinct_points(_u0, _u0) )).
% 0.20/0.43
% 0.20/0.43 % Formula: apart2 ( axiom ) converted to clauses:
% 0.20/0.43 cnf(apart2-1, axiom, ( ~distinct_lines(_u1, _u1) )).
% 0.20/0.43
% 0.20/0.43 % Formula: apart3 ( axiom ) converted to clauses:
% 0.20/0.43 cnf(apart3-1, axiom, ( ~convergent_lines(_u2, _u2) )).
% 0.20/0.43
% 0.20/0.43 % Formula: apart4 ( axiom ) converted to clauses:
% 0.20/0.43 cnf(apart4-1, axiom, ( ~distinct_points(_u5, _u4) | distinct_points(_u5, _u3) | distinct_points(_u4, _u3) )).
% 0.20/0.43
% 0.20/0.43 % Formula: apart5 ( axiom ) converted to clauses:
% 0.20/0.43 cnf(apart5-1, axiom, ( ~distinct_lines(_u8, _u7) | distinct_lines(_u8, _u6) | distinct_lines(_u7, _u6) )).
% 0.20/0.43
% 0.20/0.43 % Formula: ax6 ( axiom ) converted to clauses:
% 0.20/0.43 cnf(ax6-1, axiom, ( ~convergent_lines(_u11, _u10) | convergent_lines(_u11, _u9) | convergent_lines(_u10, _u9) )).
% 0.20/0.43
% 0.20/0.43 % Formula: ci1 ( axiom ) converted to clauses:
% 0.20/0.43 cnf(ci1-1, axiom, ( ~distinct_points(_u13, _u12) | ~apart_point_and_line(_u13, line_connecting(_u13, _u12)) )).
% 0.20/0.43
% 0.20/0.43 % Formula: ci2 ( axiom ) converted to clauses:
% 0.20/0.43 cnf(ci2-1, axiom, ( ~distinct_points(_u15, _u14) | ~apart_point_and_line(_u14, line_connecting(_u15, _u14)) )).
% 0.20/0.43
% 0.20/0.43 % Formula: ci3 ( axiom ) converted to clauses:
% 0.20/0.43 cnf(ci3-1, axiom, ( ~convergent_lines(_u17, _u16) | ~apart_point_and_line(intersection_point(_u17, _u16), _u17) )).
% 0.20/0.43
% 0.20/0.43 % Formula: ci4 ( axiom ) converted to clauses:
% 0.20/0.43 cnf(ci4-1, axiom, ( ~convergent_lines(_u19, _u18) | ~apart_point_and_line(intersection_point(_u19, _u18), _u18) )).
% 0.20/0.43
% 0.20/0.43 % Formula: cu1 ( axiom ) converted to clauses:
% 0.20/0.43 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) )).
% 0.20/0.43
% 0.20/0.43 % Formula: ceq1 ( axiom ) converted to clauses:
% 0.20/0.43 cnf(ceq1-1, axiom, ( ~apart_point_and_line(_u26, _u25) | distinct_points(_u26, _u24) | apart_point_and_line(_u24, _u25) )).
% 0.20/0.43
% 0.20/0.43 % Formula: ceq2 ( axiom ) converted to clauses:
% 0.20/0.43 cnf(ceq2-1, axiom, ( ~apart_point_and_line(_u29, _u28) | distinct_lines(_u28, _u27) | apart_point_and_line(_u29, _u27) )).
% 0.20/0.43
% 0.20/0.43 % Formula: ceq3 ( axiom ) converted to clauses:
% 0.20/0.43 cnf(ceq3-1, axiom, ( ~convergent_lines(_u32, _u31) | distinct_lines(_u31, _u30) | convergent_lines(_u32, _u30) )).
% 0.20/0.43
% 0.20/0.43 % Formula: coipo1 ( axiom ) converted to clauses:
% 0.20/0.43 cnf(coipo1-1, axiom, ( convergent_lines(_u34, _u33) | unorthogonal_lines(_u34, _u33) )).
% 0.20/0.43
% 0.20/0.43 % Formula: cotno1 ( axiom ) converted to clauses:
% 0.20/0.43 cnf(cotno1-1, axiom, ( ~convergent_lines(_u36, _u35) | ~unorthogonal_lines(_u36, _u35) | convergent_lines(_u37, _u36) | convergent_lines(_u37, _u35) )).
% 0.20/0.43 cnf(cotno1-2, axiom, ( ~convergent_lines(_u36, _u35) | ~unorthogonal_lines(_u36, _u35) | convergent_lines(_u37, _u36) | unorthogonal_lines(_u37, _u35) )).
% 0.20/0.43 cnf(cotno1-3, axiom, ( ~convergent_lines(_u36, _u35) | ~unorthogonal_lines(_u36, _u35) | unorthogonal_lines(_u37, _u36) | convergent_lines(_u37, _u35) )).
% 0.20/0.43 cnf(cotno1-4, axiom, ( ~convergent_lines(_u36, _u35) | ~unorthogonal_lines(_u36, _u35) | unorthogonal_lines(_u37, _u36) | unorthogonal_lines(_u37, _u35) )).
% 0.20/0.43
% 0.20/0.43 % Formula: couo1 ( axiom ) converted to clauses:
% 0.20/0.43 cnf(couo1-1, axiom, ( unorthogonal_lines(_u40, _u39) | unorthogonal_lines(_u40, _u38) | ~convergent_lines(_u39, _u38) )).
% 0.20/0.43
% 0.20/0.43 % Formula: con ( conjecture ) (definitionally) converted to clauses:
% 0.20/0.43 cnf(con-1, negated_conjecture, ( ~unorthogonal_lines(skolem1, skolem2) )).
% 0.20/0.43 cnf(con-2, negated_conjecture, ( ~convergent_lines(skolem1, skolem3) )).
% 0.20/0.43 cnf(con-3, negated_conjecture, ( unorthogonal_lines(skolem2, skolem3) )).
% 0.20/0.43
% 0.20/0.43 % Problem matrix:
% 0.20/0.43 cnf(matrix-0, plain, ( ~distinct_points(_u0, _u0) )).
% 0.20/0.43 cnf(matrix-1, plain, ( ~distinct_lines(_u1, _u1) )).
% 0.20/0.43 cnf(matrix-2, plain, ( ~convergent_lines(_u2, _u2) )).
% 0.20/0.43 cnf(matrix-3, plain, ( ~distinct_points(_u5, _u4) | distinct_points(_u5, _u3) | distinct_points(_u4, _u3) )).
% 0.20/0.43 cnf(matrix-4, plain, ( ~distinct_lines(_u8, _u7) | distinct_lines(_u8, _u6) | distinct_lines(_u7, _u6) )).
% 0.20/0.43 cnf(matrix-5, plain, ( ~convergent_lines(_u11, _u10) | convergent_lines(_u11, _u9) | convergent_lines(_u10, _u9) )).
% 0.20/0.43 cnf(matrix-6, plain, ( ~distinct_points(_u13, _u12) | ~apart_point_and_line(_u13, line_connecting(_u13, _u12)) )).
% 0.20/0.43 cnf(matrix-7, plain, ( ~distinct_points(_u15, _u14) | ~apart_point_and_line(_u14, line_connecting(_u15, _u14)) )).
% 0.20/0.43 cnf(matrix-8, plain, ( ~convergent_lines(_u17, _u16) | ~apart_point_and_line(intersection_point(_u17, _u16), _u17) )).
% 0.20/0.43 cnf(matrix-9, plain, ( ~convergent_lines(_u19, _u18) | ~apart_point_and_line(intersection_point(_u19, _u18), _u18) )).
% 0.20/0.43 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) )).
% 0.20/0.43 cnf(matrix-11, plain, ( ~apart_point_and_line(_u26, _u25) | distinct_points(_u26, _u24) | apart_point_and_line(_u24, _u25) )).
% 0.20/0.43 cnf(matrix-12, plain, ( ~apart_point_and_line(_u29, _u28) | distinct_lines(_u28, _u27) | apart_point_and_line(_u29, _u27) )).
% 0.20/0.43 cnf(matrix-13, plain, ( ~convergent_lines(_u32, _u31) | distinct_lines(_u31, _u30) | convergent_lines(_u32, _u30) )).
% 0.20/0.43 cnf(matrix-14, plain, ( convergent_lines(_u34, _u33) | unorthogonal_lines(_u34, _u33) )).
% 0.20/0.43 cnf(matrix-15, plain, ( ~convergent_lines(_u36, _u35) | ~unorthogonal_lines(_u36, _u35) | convergent_lines(_u37, _u36) | convergent_lines(_u37, _u35) )).
% 0.20/0.43 cnf(matrix-16, plain, ( ~convergent_lines(_u36, _u35) | ~unorthogonal_lines(_u36, _u35) | convergent_lines(_u37, _u36) | unorthogonal_lines(_u37, _u35) )).
% 0.20/0.43 cnf(matrix-17, plain, ( ~convergent_lines(_u36, _u35) | ~unorthogonal_lines(_u36, _u35) | unorthogonal_lines(_u37, _u36) | convergent_lines(_u37, _u35) )).
% 0.20/0.43 cnf(matrix-18, plain, ( ~convergent_lines(_u36, _u35) | ~unorthogonal_lines(_u36, _u35) | unorthogonal_lines(_u37, _u36) | unorthogonal_lines(_u37, _u35) )).
% 0.20/0.43 cnf(matrix-19, plain, ( unorthogonal_lines(_u40, _u39) | unorthogonal_lines(_u40, _u38) | ~convergent_lines(_u39, _u38) )).
% 0.20/0.43 cnf(matrix-20, plain, ( ~unorthogonal_lines(skolem1, skolem2) )).
% 0.20/0.43 cnf(matrix-21, plain, ( ~convergent_lines(skolem1, skolem3) )).
% 0.20/0.43 cnf(matrix-22, plain, ( unorthogonal_lines(skolem2, skolem3) )).
% 0.20/0.43
% 0.20/0.43 % Proof stack:
% 0.20/0.43 cnf(proof-stack, plain,
% 0.20/0.43 proof_stack(
% 0.20/0.43 start(21),
% 0.20/0.43 left_branch(0, 5, 1, 2),
% 0.20/0.43 left_branch(0, 14, 0, 3),
% 0.20/0.43 left_branch(0, 20, 0, 4),
% 0.20/0.43 right_branch(4),
% 0.20/0.43 right_branch(3),
% 0.20/0.43 left_branch(0, 17, 0, 4),
% 0.20/0.43 reduction(0, 0),
% 0.20/0.43 left_branch(0, 20, 0, 6),
% 0.20/0.43 right_branch(6),
% 0.20/0.43 left_branch(0, 22, 0, 7),
% 0.20/0.43 right_branch(7),
% 0.20/0.43 right_branch(4),
% 0.20/0.43 right_branch(2)
% 0.20/0.43 )).
% 0.20/0.43 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------