TSTP Solution File: GEO230+3 by Mace4---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Mace4---1109a
% Problem : GEO230+3 : TPTP v6.4.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : mace4 -t %d -f %s
% Computer : n043.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32218.75MB
% OS : Linux 3.10.0-327.36.3.el7.x86_64
% CPULimit : 300s
% DateTime : Wed Feb 8 09:53:45 EST 2017
% Result : CounterSatisfiable 0.06s
% Output : FiniteModel 0.06s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO230+3 : TPTP v6.4.0. Released v4.0.0.
% 0.00/0.04 % Command : mace4 -t %d -f %s
% 0.03/0.23 % Computer : n043.star.cs.uiowa.edu
% 0.03/0.23 % Model : x86_64 x86_64
% 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.23 % Memory : 32218.75MB
% 0.03/0.23 % OS : Linux 3.10.0-327.36.3.el7.x86_64
% 0.03/0.23 % CPULimit : 300
% 0.03/0.23 % DateTime : Tue Feb 7 18:23:00 CST 2017
% 0.03/0.23 % CPUTime :
% 0.06/0.46 % SZS status CounterSatisfiable
% 0.06/0.46 ============================== Mace4 =================================
% 0.06/0.46 Mace4 (32) version 2009-11A, November 2009.
% 0.06/0.46 Process 4282 was started by sandbox on n043.star.cs.uiowa.edu,
% 0.06/0.46 Tue Feb 7 18:23:01 2017
% 0.06/0.46 The command was "/export/starexec/sandbox/solver/bin/mace4 -t 300 -f /tmp/Mace4_input_4249_n043.star.cs.uiowa.edu".
% 0.06/0.46 ============================== end of head ===========================
% 0.06/0.46
% 0.06/0.46 ============================== INPUT =================================
% 0.06/0.46
% 0.06/0.46 % Reading from file /tmp/Mace4_input_4249_n043.star.cs.uiowa.edu
% 0.06/0.46
% 0.06/0.46 set(prolog_style_variables).
% 0.06/0.46 set(print_models_tabular).
% 0.06/0.46 % set(print_models_tabular) -> clear(print_models).
% 0.06/0.46
% 0.06/0.46 formulas(sos).
% 0.06/0.46 (all X all Y (unequally_directed_opposite_lines(X,Y) <-> unequally_directed_lines(X,reverse_line(Y)))) # label(a1_defns) # label(axiom).
% 0.06/0.46 (all X all Y (right_apart_point(X,Y) <-> left_apart_point(X,reverse_line(Y)))) # label(a2_defns) # label(axiom).
% 0.06/0.46 (all X all Y (right_convergent_lines(X,Y) <-> left_convergent_lines(X,reverse_line(Y)))) # label(a3_defns) # label(axiom).
% 0.06/0.46 (all X all Y (equally_directed_lines(X,Y) <-> -unequally_directed_lines(X,Y))) # label(a4_defns) # label(axiom).
% 0.06/0.46 (all X all Y (equally_directed_opposite_lines(X,Y) <-> -unequally_directed_opposite_lines(X,Y))) # label(a5_defns) # label(axiom).
% 0.06/0.46 (all A all L (apart_point_and_line(A,L) <-> left_apart_point(A,L) | right_apart_point(A,L))) # label(a6_defns) # label(axiom).
% 0.06/0.46 (all L all M (convergent_lines(L,M) <-> unequally_directed_lines(L,M) & unequally_directed_opposite_lines(L,M))) # label(a7_defns) # label(axiom).
% 0.06/0.46 (all A all B all L (divides_points(L,A,B) <-> left_apart_point(A,L) & right_apart_point(B,L) | right_apart_point(A,L) & left_apart_point(B,L))) # label(a8_defns) # label(axiom).
% 0.06/0.46 (all L all A all B (before_on_line(L,A,B) <-> distinct_points(A,B) & incident_point_and_line(A,L) & incident_point_and_line(B,L) & equally_directed_lines(L,line_connecting(A,B)))) # label(ax4_defns) # label(axiom).
% 0.06/0.46 (all L all A all B all C (between_on_line(L,A,B,C) <-> before_on_line(L,A,B) & before_on_line(L,B,C) | before_on_line(L,C,B) & before_on_line(L,B,A))) # label(a9_defns) # label(axiom).
% 0.06/0.46 (all A -distinct_points(A,A)) # label(ax1_basics) # label(axiom).
% 0.06/0.46 (all A all B all C (distinct_points(A,B) -> distinct_points(A,C) | distinct_points(B,C))) # label(ax2_basics) # label(axiom).
% 0.06/0.46 (all L -distinct_lines(L,L)) # label(ax3_basics) # label(axiom).
% 0.06/0.46 (all L all M all N (distinct_lines(L,M) -> distinct_lines(L,N) | distinct_lines(M,N))) # label(ax4_basics) # label(axiom).
% 0.06/0.46 (all L equally_directed_lines(L,L)) # label(ax5_basics) # label(axiom).
% 0.06/0.46 (all L all M all N (unequally_directed_lines(L,M) -> unequally_directed_lines(L,N) | unequally_directed_lines(M,N))) # label(ax6_basics) # label(axiom).
% 0.06/0.46 (all L all M all N (unequally_directed_lines(L,M) & unequally_directed_lines(L,reverse_line(M)) -> unequally_directed_lines(L,N) & unequally_directed_lines(L,reverse_line(N)) | unequally_directed_lines(M,N) & unequally_directed_lines(M,reverse_line(N)))) # label(ax7_basics) # label(axiom).
% 0.06/0.46 (all L all M (unequally_directed_lines(L,M) | unequally_directed_lines(L,reverse_line(M)))) # label(ax8_basics) # label(axiom).
% 0.06/0.46 (all L all M (unequally_directed_lines(L,M) & unequally_directed_lines(L,reverse_line(M)) -> left_convergent_lines(L,M) | left_convergent_lines(L,reverse_line(M)))) # label(ax9_basics) # label(axiom).
% 0.06/0.46 (all A all L -(left_apart_point(A,L) | left_apart_point(A,reverse_line(L)))) # label(ax10_basics) # label(axiom).
% 0.06/0.46 (all L all M -(left_convergent_lines(L,M) | left_convergent_lines(L,reverse_line(M)))) # label(ax11_basics) # label(axiom).
% 0.06/0.46 (all A all B (point(A) & point(B) & distinct_points(A,B) -> line(line_connecting(A,B)))) # label(ax1_cons_objs) # label(axiom).
% 0.06/0.46 (all L all M (line(L) & line(M) & unequally_directed_lines(L,M) & unequally_directed_lines(L,reverse_line(M)) -> point(intersection_point(L,M)))) # label(ax2_cons_objs) # label(axiom).
% 0.06/0.46 (all L all A (point(A) & line(L) -> line(parallel_through_point(L,A)))) # label(ax3_cons_objs) # label(axiom).
% 0.06/0.46 (all L (line(L) -> line(reverse_line(L)))) # label(ax4_cons_objs) # label(axiom).
% 0.06/0.46 (all A all B (distinct_points(A,B) -> -apart_point_and_line(A,line_connecting(A,B)) & -apart_point_and_line(B,line_connecting(A,B)))) # label(ax5_cons_objs) # label(axiom).
% 0.06/0.46 (all L all M (unequally_directed_lines(L,M) & unequally_directed_lines(L,reverse_line(M)) -> -apart_point_and_line(intersection_point(L,M),L) & -apart_point_and_line(intersection_point(L,M),M))) # label(ax6_cons_objs) # label(axiom).
% 0.06/0.46 (all A all L -apart_point_and_line(A,parallel_through_point(L,A))) # label(ax7_cons_objs) # label(axiom).
% 0.06/0.46 (all L -distinct_lines(L,reverse_line(L))) # label(ax8_cons_objs) # label(axiom).
% 0.06/0.46 (all A all B (distinct_points(A,B) -> equally_directed_lines(line_connecting(A,B),reverse_line(line_connecting(B,A))))) # label(ax9_cons_objs) # label(axiom).
% 0.06/0.46 (all A all L equally_directed_lines(parallel_through_point(L,A),L)) # label(ax10_cons_objs) # label(axiom).
% 0.06/0.46 (all A all B all L all M (distinct_points(A,B) & distinct_lines(L,M) -> left_apart_point(A,L) | left_apart_point(B,L) | left_apart_point(A,M) | left_apart_point(B,M) | left_apart_point(A,reverse_line(L)) | left_apart_point(B,reverse_line(L)) | left_apart_point(A,reverse_line(M)) | left_apart_point(B,reverse_line(M)))) # label(ax1_uniq_cons) # label(axiom).
% 0.06/0.46 (all A all B all L (distinct_points(A,B) & left_apart_point(A,L) -> left_apart_point(B,L) | left_convergent_lines(line_connecting(A,B),L))) # label(ax2_uniq_cons) # label(axiom).
% 0.06/0.46 (all A all B all L (left_apart_point(A,L) -> distinct_points(A,B) | left_apart_point(B,L))) # label(ax1_subs) # label(axiom).
% 0.06/0.46 (all A all L all M (left_apart_point(A,L) & unequally_directed_lines(L,M) -> distinct_lines(L,M) | left_apart_point(A,reverse_line(M)))) # label(ax2_subs) # label(axiom).
% 0.06/0.46 (all L all M all N (left_convergent_lines(L,M) -> unequally_directed_lines(M,N) | left_convergent_lines(L,N))) # label(ax3_subs) # label(axiom).
% 0.06/0.46 -(all A all B (equal_lines(line_connecting(A,B),line_connecting(B,A)) & equally_directed_lines(line_connecting(B,A),reverse_line(line_connecting(A,B))))) # label(con) # label(negated_conjecture).
% 0.06/0.46 end_of_list.
% 0.06/0.46
% 0.06/0.46 % From the command line: assign(max_seconds, 300).
% 0.06/0.46
% 0.06/0.46 ============================== end of input ==========================
% 0.06/0.46
% 0.06/0.46 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.06/0.46
% 0.06/0.46 % Formulas that are not ordinary clauses:
% 0.06/0.46 1 (all X all Y (unequally_directed_opposite_lines(X,Y) <-> unequally_directed_lines(X,reverse_line(Y)))) # label(a1_defns) # label(axiom) # label(non_clause). [assumption].
% 0.06/0.46 2 (all X all Y (right_apart_point(X,Y) <-> left_apart_point(X,reverse_line(Y)))) # label(a2_defns) # label(axiom) # label(non_clause). [assumption].
% 0.06/0.46 3 (all X all Y (right_convergent_lines(X,Y) <-> left_convergent_lines(X,reverse_line(Y)))) # label(a3_defns) # label(axiom) # label(non_clause). [assumption].
% 0.06/0.46 4 (all X all Y (equally_directed_lines(X,Y) <-> -unequally_directed_lines(X,Y))) # label(a4_defns) # label(axiom) # label(non_clause). [assumption].
% 0.06/0.46 5 (all X all Y (equally_directed_opposite_lines(X,Y) <-> -unequally_directed_opposite_lines(X,Y))) # label(a5_defns) # label(axiom) # label(non_clause). [assumption].
% 0.06/0.46 6 (all A all L (apart_point_and_line(A,L) <-> left_apart_point(A,L) | right_apart_point(A,L))) # label(a6_defns) # label(axiom) # label(non_clause). [assumption].
% 0.06/0.46 7 (all L all M (convergent_lines(L,M) <-> unequally_directed_lines(L,M) & unequally_directed_opposite_lines(L,M))) # label(a7_defns) # label(axiom) # label(non_clause). [assumption].
% 0.06/0.46 8 (all A all B all L (divides_points(L,A,B) <-> left_apart_point(A,L) & right_apart_point(B,L) | right_apart_point(A,L) & left_apart_point(B,L))) # label(a8_defns) # label(axiom) # label(non_clause). [assumption].
% 0.06/0.46 9 (all L all A all B (before_on_line(L,A,B) <-> distinct_points(A,B) & incident_point_and_line(A,L) & incident_point_and_line(B,L) & equally_directed_lines(L,line_connecting(A,B)))) # label(ax4_defns) # label(axiom) # label(non_clause). [assumption].
% 0.06/0.46 10 (all L all A all B all C (between_on_line(L,A,B,C) <-> before_on_line(L,A,B) & before_on_line(L,B,C) | before_on_line(L,C,B) & before_on_line(L,B,A))) # label(a9_defns) # label(axiom) # label(non_clause). [assumption].
% 0.06/0.46 11 (all A -distinct_points(A,A)) # label(ax1_basics) # label(axiom) # label(non_clause). [assumption].
% 0.06/0.46 12 (all A all B all C (distinct_points(A,B) -> distinct_points(A,C) | distinct_points(B,C))) # label(ax2_basics) # label(axiom) # label(non_clause). [assumption].
% 0.06/0.46 13 (all L -distinct_lines(L,L)) # label(ax3_basics) # label(axiom) # label(non_clause). [assumption].
% 0.06/0.46 14 (all L all M all N (distinct_lines(L,M) -> distinct_lines(L,N) | distinct_lines(M,N))) # label(ax4_basics) # label(axiom) # label(non_clause). [assumption].
% 0.06/0.46 15 (all L equally_directed_lines(L,L)) # label(ax5_basics) # label(axiom) # label(non_clause). [assumption].
% 0.06/0.46 16 (all L all M all N (unequally_directed_lines(L,M) -> unequally_directed_lines(L,N) | unequally_directed_lines(M,N))) # label(ax6_basics) # label(axiom) # label(non_clause). [assumption].
% 0.06/0.46 17 (all L all M all N (unequally_directed_lines(L,M) & unequally_directed_lines(L,reverse_line(M)) -> unequally_directed_lines(L,N) & unequally_directed_lines(L,reverse_line(N)) | unequally_directed_lines(M,N) & unequally_directed_lines(M,reverse_line(N)))) # label(ax7_basics) # label(axiom) # label(non_clause). [assumption].
% 0.06/0.46 18 (all L all M (unequally_directed_lines(L,M) | unequally_directed_lines(L,reverse_line(M)))) # label(ax8_basics) # label(axiom) # label(non_clause). [assumption].
% 0.06/0.46 19 (all L all M (unequally_directed_lines(L,M) & unequally_directed_lines(L,reverse_line(M)) -> left_convergent_lines(L,M) | left_convergent_lines(L,reverse_line(M)))) # label(ax9_basics) # label(axiom) # label(non_clause). [assumption].
% 0.06/0.46 20 (all A all L -(left_apart_point(A,L) | left_apart_point(A,reverse_line(L)))) # label(ax10_basics) # label(axiom) # label(non_clause). [assumption].
% 0.06/0.46 21 (all L all M -(left_convergent_lines(L,M) | left_convergent_lines(L,reverse_line(M)))) # label(ax11_basics) # label(axiom) # label(non_clause). [assumption].
% 0.06/0.46 22 (all A all B (point(A) & point(B) & distinct_points(A,B) -> line(line_connecting(A,B)))) # label(ax1_cons_objs) # label(axiom) # label(non_clause). [assumption].
% 0.06/0.46 23 (all L all M (line(L) & line(M) & unequally_directed_lines(L,M) & unequally_directed_lines(L,reverse_line(M)) -> point(intersection_point(L,M)))) # label(ax2_cons_objs) # label(axiom) # label(non_clause). [assumption].
% 0.06/0.46 24 (all L all A (point(A) & line(L) -> line(parallel_through_point(L,A)))) # label(ax3_cons_objs) # label(axiom) # label(non_clause). [assumption].
% 0.06/0.46 25 (all L (line(L) -> line(reverse_line(L)))) # label(ax4_cons_objs) # label(axiom) # label(non_clause). [assumption].
% 0.06/0.46 26 (all A all B (distinct_points(A,B) -> -apart_point_and_line(A,line_connecting(A,B)) & -apart_point_and_line(B,line_connecting(A,B)))) # label(ax5_cons_objs) # label(axiom) # label(non_clause). [assumption].
% 0.06/0.46 27 (all L all M (unequally_directed_lines(L,M) & unequally_directed_lines(L,reverse_line(M)) -> -apart_point_and_line(intersection_point(L,M),L) & -apart_point_and_line(intersection_point(L,M),M))) # label(ax6_cons_objs) # label(axiom) # label(non_clause). [assumption].
% 0.06/0.46 28 (all A all L -apart_point_and_line(A,parallel_through_point(L,A))) # label(ax7_cons_objs) # label(axiom) # label(non_clause). [assumption].
% 0.06/0.46 29 (all L -distinct_lines(L,reverse_line(L))) # label(ax8_cons_objs) # label(axiom) # label(non_clause). [assumption].
% 0.06/0.46 30 (all A all B (distinct_points(A,B) -> equally_directed_lines(line_connecting(A,B),reverse_line(line_connecting(B,A))))) # label(ax9_cons_objs) # label(axiom) # label(non_clause). [assumption].
% 0.06/0.46 31 (all A all L equally_directed_lines(parallel_through_point(L,A),L)) # label(ax10_cons_objs) # label(axiom) # label(non_clause). [assumption].
% 0.06/0.46 32 (all A all B all L all M (distinct_points(A,B) & distinct_lines(L,M) -> left_apart_point(A,L) | left_apart_point(B,L) | left_apart_point(A,M) | left_apart_point(B,M) | left_apart_point(A,reverse_line(L)) | left_apart_point(B,reverse_line(L)) | left_apart_point(A,reverse_line(M)) | left_apart_point(B,reverse_line(M)))) # label(ax1_uniq_cons) # label(axiom) # label(non_clause). [assumption].
% 0.06/0.46 33 (all A all B all L (distinct_points(A,B) & left_apart_point(A,L) -> left_apart_point(B,L) | left_convergent_lines(line_connecting(A,B),L))) # label(ax2_uniq_cons) # label(axiom) # label(non_clause). [assumption].
% 0.06/0.46 34 (all A all B all L (left_apart_point(A,L) -> distinct_points(A,B) | left_apart_point(B,L))) # label(ax1_subs) # label(axiom) # label(non_clause). [assumption].
% 0.06/0.46 35 (all A all L all M (left_apart_point(A,L) & unequally_directed_lines(L,M) -> distinct_lines(L,M) | left_apart_point(A,reverse_line(M)))) # label(ax2_subs) # label(axiom) # label(non_clause). [assumption].
% 0.06/0.46 36 (all L all M all N (left_convergent_lines(L,M) -> unequally_directed_lines(M,N) | left_convergent_lines(L,N))) # label(ax3_subs) # label(axiom) # label(non_clause). [assumption].
% 0.06/0.46 37 -(all A all B (equal_lines(line_connecting(A,B),line_connecting(B,A)) & equally_directed_lines(line_connecting(B,A),reverse_line(line_connecting(A,B))))) # label(con) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.06/0.46
% 0.06/0.46 ============================== end of process non-clausal formulas ===
% 0.06/0.46
% 0.06/0.46 ============================== CLAUSES FOR SEARCH ====================
% 0.06/0.46
% 0.06/0.46 formulas(mace4_clauses).
% 0.06/0.46 -unequally_directed_opposite_lines(A,B) | unequally_directed_lines(A,reverse_line(B)) # label(a1_defns) # label(axiom).
% 0.06/0.46 unequally_directed_opposite_lines(A,B) | -unequally_directed_lines(A,reverse_line(B)) # label(a1_defns) # label(axiom).
% 0.06/0.46 -right_apart_point(A,B) | left_apart_point(A,reverse_line(B)) # label(a2_defns) # label(axiom).
% 0.06/0.46 right_apart_point(A,B) | -left_apart_point(A,reverse_line(B)) # label(a2_defns) # label(axiom).
% 0.06/0.46 -right_convergent_lines(A,B) | left_convergent_lines(A,reverse_line(B)) # label(a3_defns) # label(axiom).
% 0.06/0.46 right_convergent_lines(A,B) | -left_convergent_lines(A,reverse_line(B)) # label(a3_defns) # label(axiom).
% 0.06/0.46 -equally_directed_lines(A,B) | -unequally_directed_lines(A,B) # label(a4_defns) # label(axiom).
% 0.06/0.46 equally_directed_lines(A,B) | unequally_directed_lines(A,B) # label(a4_defns) # label(axiom).
% 0.06/0.46 -equally_directed_opposite_lines(A,B) | -unequally_directed_opposite_lines(A,B) # label(a5_defns) # label(axiom).
% 0.06/0.46 equally_directed_opposite_lines(A,B) | unequally_directed_opposite_lines(A,B) # label(a5_defns) # label(axiom).
% 0.06/0.46 -apart_point_and_line(A,B) | left_apart_point(A,B) | right_apart_point(A,B) # label(a6_defns) # label(axiom).
% 0.06/0.46 apart_point_and_line(A,B) | -left_apart_point(A,B) # label(a6_defns) # label(axiom).
% 0.06/0.46 apart_point_and_line(A,B) | -right_apart_point(A,B) # label(a6_defns) # label(axiom).
% 0.06/0.46 -convergent_lines(A,B) | unequally_directed_lines(A,B) # label(a7_defns) # label(axiom).
% 0.06/0.46 -convergent_lines(A,B) | unequally_directed_opposite_lines(A,B) # label(a7_defns) # label(axiom).
% 0.06/0.46 convergent_lines(A,B) | -unequally_directed_lines(A,B) | -unequally_directed_opposite_lines(A,B) # label(a7_defns) # label(axiom).
% 0.06/0.46 -divides_points(A,B,C) | left_apart_point(B,A) | right_apart_point(B,A) # label(a8_defns) # label(axiom).
% 0.06/0.46 -divides_points(A,B,C) | left_apart_point(B,A) | left_apart_point(C,A) # label(a8_defns) # label(axiom).
% 0.06/0.46 -divides_points(A,B,C) | right_apart_point(C,A) | right_apart_point(B,A) # label(a8_defns) # label(axiom).
% 0.06/0.46 -divides_points(A,B,C) | right_apart_point(C,A) | left_apart_point(C,A) # label(a8_defns) # label(axiom).
% 0.06/0.46 divides_points(A,B,C) | -left_apart_point(B,A) | -right_apart_point(C,A) # label(a8_defns) # label(axiom).
% 0.06/0.46 divides_points(A,B,C) | -right_apart_point(B,A) | -left_apart_point(C,A) # label(a8_defns) # label(axiom).
% 0.06/0.46 -before_on_line(A,B,C) | distinct_points(B,C) # label(ax4_defns) # label(axiom).
% 0.06/0.46 -before_on_line(A,B,C) | incident_point_and_line(B,A) # label(ax4_defns) # label(axiom).
% 0.06/0.46 -before_on_line(A,B,C) | incident_point_and_line(C,A) # label(ax4_defns) # label(axiom).
% 0.06/0.46 -before_on_line(A,B,C) | equally_directed_lines(A,line_connecting(B,C)) # label(ax4_defns) # label(axiom).
% 0.06/0.46 before_on_line(A,B,C) | -distinct_points(B,C) | -incident_point_and_line(B,A) | -incident_point_and_line(C,A) | -equally_directed_lines(A,line_connecting(B,C)) # label(ax4_defns) # label(axiom).
% 0.06/0.46 -between_on_line(A,B,C,D) | before_on_line(A,B,C) | before_on_line(A,D,C) # label(a9_defns) # label(axiom).
% 0.06/0.46 -between_on_line(A,B,C,D) | before_on_line(A,B,C) | before_on_line(A,C,B) # label(a9_defns) # label(axiom).
% 0.06/0.46 -between_on_line(A,B,C,D) | before_on_line(A,C,D) | before_on_line(A,D,C) # label(a9_defns) # label(axiom).
% 0.06/0.46 -between_on_line(A,B,C,D) | before_on_line(A,C,D) | before_on_line(A,C,B) # label(a9_defns) # label(axiom).
% 0.06/0.46 between_on_line(A,B,C,D) | -before_on_line(A,B,C) | -before_on_line(A,C,D) # label(a9_defns) # label(axiom).
% 0.06/0.46 between_on_line(A,B,C,D) | -before_on_line(A,D,C) | -before_on_line(A,C,B) # label(a9_defns) # label(axiom).
% 0.06/0.46 -distinct_points(A,A) # label(ax1_basics) # label(axiom).
% 0.06/0.46 -distinct_points(A,B) | distinct_points(A,C) | distinct_points(B,C) # label(ax2_basics) # label(axiom).
% 0.06/0.46 -distinct_lines(A,A) # label(ax3_basics) # label(axiom).
% 0.06/0.46 -distinct_lines(A,B) | distinct_lines(A,C) | distinct_lines(B,C) # label(ax4_basics) # label(axiom).
% 0.06/0.46 equally_directed_lines(A,A) # label(ax5_basics) # label(axiom).
% 0.06/0.46 -unequally_directed_lines(A,B) | unequally_directed_lines(A,C) | unequally_directed_lines(B,C) # label(ax6_basics) # label(axiom).
% 0.06/0.46 -unequally_directed_lines(A,B) | -unequally_directed_lines(A,reverse_line(B)) | unequally_directed_lines(A,C) | unequally_directed_lines(B,C) # label(ax7_basics) # label(axiom).
% 0.06/0.46 -unequally_directed_lines(A,B) | -unequally_directed_lines(A,reverse_line(B)) | unequally_directed_lines(A,C) | unequally_directed_lines(B,reverse_line(C)) # label(ax7_basics) # label(axiom).
% 0.06/0.46 -unequally_directed_lines(A,B) | -unequally_directed_lines(A,reverse_line(B)) | unequally_directed_lines(A,reverse_line(C)) | unequally_directed_lines(B,C) # label(ax7_basics) # label(axiom).
% 0.06/0.46 -unequally_directed_lines(A,B) | -unequally_directed_lines(A,reverse_line(B)) | unequally_directed_lines(A,reverse_line(C)) | unequally_directed_lines(B,reverse_line(C)) # label(ax7_basics) # label(axiom).
% 0.06/0.46 unequally_directed_lines(A,B) | unequally_directed_lines(A,reverse_line(B)) # label(ax8_basics) # label(axiom).
% 0.06/0.46 -unequally_directed_lines(A,B) | -unequally_directed_lines(A,reverse_line(B)) | left_convergent_lines(A,B) | left_convergent_lines(A,reverse_line(B)) # label(ax9_basics) # label(axiom).
% 0.06/0.46 -left_apart_point(A,B) # label(ax10_basics) # label(axiom).
% 0.06/0.46 -left_apart_point(A,reverse_line(B)) # label(ax10_basics) # label(axiom).
% 0.06/0.46 -left_convergent_lines(A,B) # label(ax11_basics) # label(axiom).
% 0.06/0.46 -left_convergent_lines(A,reverse_line(B)) # label(ax11_basics) # label(axiom).
% 0.06/0.46 -point(A) | -point(B) | -distinct_points(A,B) | line(line_connecting(A,B)) # label(ax1_cons_objs) # label(axiom).
% 0.06/0.46 -line(A) | -line(B) | -unequally_directed_lines(A,B) | -unequally_directed_lines(A,reverse_line(B)) | point(intersection_point(A,B)) # label(ax2_cons_objs) # label(axiom).
% 0.06/0.46 -point(A) | -line(B) | line(parallel_through_point(B,A)) # label(ax3_cons_objs) # label(axiom).
% 0.06/0.46 -line(A) | line(reverse_line(A)) # label(ax4_cons_objs) # label(axiom).
% 0.06/0.46 -distinct_points(A,B) | -apart_point_and_line(A,line_connecting(A,B)) # label(ax5_cons_objs) # label(axiom).
% 0.06/0.46 -distinct_points(A,B) | -apart_point_and_line(B,line_connecting(A,B)) # label(ax5_cons_objs) # label(axiom).
% 0.06/0.46 -unequally_directed_lines(A,B) | -unequally_directed_lines(A,reverse_line(B)) | -apart_point_and_line(intersection_point(A,B),A) # label(ax6_cons_objs) # label(axiom).
% 0.06/0.46 -unequally_directed_lines(A,B) | -unequally_directed_lines(A,reverse_line(B)) | -apart_point_and_line(intersection_point(A,B),B) # label(ax6_cons_objs) # label(axiom).
% 0.06/0.46 -apart_point_and_line(A,parallel_through_point(B,A)) # label(ax7_cons_objs) # label(axiom).
% 0.06/0.46 -distinct_lines(A,reverse_line(A)) # label(ax8_cons_objs) # label(axiom).
% 0.06/0.46 -distinct_points(A,B) | equally_directed_lines(line_connecting(A,B),reverse_line(line_connecting(B,A))) # label(ax9_cons_objs) # label(axiom).
% 0.06/0.46 equally_directed_lines(parallel_through_point(A,B),A) # label(ax10_cons_objs) # label(axiom).
% 0.06/0.46 -distinct_points(A,B) | -distinct_lines(C,D) | left_apart_point(A,C) | left_apart_point(B,C) | left_apart_point(A,D) | left_apart_point(B,D) | left_apart_point(A,reverse_line(C)) | left_apart_point(B,reverse_line(C)) | left_apart_point(A,reverse_line(D)) | left_apart_point(B,reverse_line(D)) # label(ax1_uniq_cons) # label(axiom).
% 0.06/0.46 -distinct_points(A,B) | -left_apart_point(A,C) | left_apart_point(B,C) | left_convergent_lines(line_connecting(A,B),C) # label(ax2_uniq_cons) # label(axiom).
% 0.06/0.46 -left_apart_point(A,B) | distinct_points(A,C) | left_apart_point(C,B) # label(ax1_subs) # label(axiom).
% 0.06/0.46 -left_apart_point(A,B) | -unequally_directed_lines(B,C) | distinct_lines(B,C) | left_apart_point(A,reverse_line(C)) # label(ax2_subs) # label(axiom).
% 0.06/0.46 -left_convergent_lines(A,B) | unequally_directed_lines(B,C) | left_convergent_lines(A,C) # label(ax3_subs) # label(axiom).
% 0.06/0.46 -equal_lines(line_connecting(c1,c2),line_connecting(c2,c1)) | -equally_directed_lines(line_connecting(c2,c1),reverse_line(line_connecting(c1,c2))) # label(con) # label(negated_conjecture).
% 0.06/0.46 end_of_list.
% 0.06/0.46
% 0.06/0.46 ============================== end of clauses for search =============
% 0.06/0.46 % SZS output start FiniteModel
% 0.06/0.46
% 0.06/0.46 % There are no natural numbers in the input.
% 0.06/0.46
% 0.06/0.46 c1 : 0
% 0.06/0.46
% 0.06/0.46 c2 : 0
% 0.06/0.46
% 0.06/0.46 reverse_line :
% 0.06/0.46 0 1
% 0.06/0.46 -------
% 0.06/0.46 1 0
% 0.06/0.46
% 0.06/0.46 intersection_point :
% 0.06/0.46 | 0 1
% 0.06/0.46 --+----
% 0.06/0.46 0 | 0 0
% 0.06/0.46 1 | 0 0
% 0.06/0.46
% 0.06/0.46 line_connecting :
% 0.06/0.46 | 0 1
% 0.06/0.46 --+----
% 0.06/0.46 0 | 0 0
% 0.06/0.46 1 | 0 0
% 0.06/0.46
% 0.06/0.46 parallel_through_point :
% 0.06/0.46 | 0 1
% 0.06/0.46 --+----
% 0.06/0.46 0 | 0 0
% 0.06/0.46 1 | 1 1
% 0.06/0.46
% 0.06/0.46 line :
% 0.06/0.46 0 1
% 0.06/0.46 -------
% 0.06/0.46 0 0
% 0.06/0.46
% 0.06/0.46 point :
% 0.06/0.46 0 1
% 0.06/0.46 -------
% 0.06/0.46 0 0
% 0.06/0.46
% 0.06/0.46 apart_point_and_line :
% 0.06/0.46 | 0 1
% 0.06/0.46 --+----
% 0.06/0.46 0 | 0 0
% 0.06/0.46 1 | 0 0
% 0.06/0.46
% 0.06/0.46 convergent_lines :
% 0.06/0.46 | 0 1
% 0.06/0.46 --+----
% 0.06/0.46 0 | 0 0
% 0.06/0.46 1 | 0 0
% 0.06/0.46
% 0.06/0.46 distinct_lines :
% 0.06/0.46 | 0 1
% 0.06/0.46 --+----
% 0.06/0.46 0 | 0 0
% 0.06/0.46 1 | 0 0
% 0.06/0.46
% 0.06/0.46 distinct_points :
% 0.06/0.46 | 0 1
% 0.06/0.46 --+----
% 0.06/0.46 0 | 0 0
% 0.06/0.46 1 | 0 0
% 0.06/0.46
% 0.06/0.46 equal_lines :
% 0.06/0.46 | 0 1
% 0.06/0.46 --+----
% 0.06/0.46 0 | 0 0
% 0.06/0.46 1 | 0 0
% 0.06/0.46
% 0.06/0.46 equally_directed_lines :
% 0.06/0.46 | 0 1
% 0.06/0.46 --+----
% 0.06/0.46 0 | 1 0
% 0.06/0.46 1 | 0 1
% 0.06/0.46
% 0.06/0.46 equally_directed_opposite_lines :
% 0.06/0.46 | 0 1
% 0.06/0.46 --+----
% 0.06/0.46 0 | 0 1
% 0.06/0.46 1 | 1 0
% 0.06/0.46
% 0.06/0.46 incident_point_and_line :
% 0.06/0.46 | 0 1
% 0.06/0.46 --+----
% 0.06/0.46 0 | 0 0
% 0.06/0.46 1 | 0 0
% 0.06/0.46
% 0.06/0.46 left_apart_point :
% 0.06/0.46 | 0 1
% 0.06/0.46 --+----
% 0.06/0.46 0 | 0 0
% 0.06/0.46 1 | 0 0
% 0.06/0.46
% 0.06/0.46 left_convergent_lines :
% 0.06/0.46 | 0 1
% 0.06/0.46 --+----
% 0.06/0.46 0 | 0 0
% 0.06/0.46 1 | 0 0
% 0.06/0.46
% 0.06/0.46 right_apart_point :
% 0.06/0.46 | 0 1
% 0.06/0.46 --+----
% 0.06/0.46 0 | 0 0
% 0.06/0.46 1 | 0 0
% 0.06/0.46
% 0.06/0.46 right_convergent_lines :
% 0.06/0.46 | 0 1
% 0.06/0.46 --+----
% 0.06/0.46 0 | 0 0
% 0.06/0.46 1 | 0 0
% 0.06/0.46
% 0.06/0.46 unequally_directed_lines :
% 0.06/0.46 | 0 1
% 0.06/0.46 --+----
% 0.06/0.46 0 | 0 1
% 0.06/0.46 1 | 1 0
% 0.06/0.46
% 0.06/0.46 unequally_directed_opposite_lines :
% 0.06/0.46 | 0 1
% 0.06/0.46 --+----
% 0.06/0.46 0 | 1 0
% 0.06/0.46 1 | 0 1
% 0.06/0.46 before_on_line(0,0,0) = 0.
% 0.06/0.46 before_on_line(0,0,1) = 0.
% 0.06/0.46 before_on_line(0,1,0) = 0.
% 0.06/0.46 before_on_line(0,1,1) = 0.
% 0.06/0.46 before_on_line(1,0,0) = 0.
% 0.06/0.46 before_on_line(1,0,1) = 0.
% 0.06/0.46 before_on_line(1,1,0) = 0.
% 0.06/0.46 before_on_line(1,1,1) = 0.
% 0.06/0.46 divides_points(0,0,0) = 0.
% 0.06/0.46 divides_points(0,0,1) = 0.
% 0.06/0.46 divides_points(0,1,0) = 0.
% 0.06/0.46 divides_points(0,1,1) = 0.
% 0.06/0.46 divides_points(1,0,0) = 0.
% 0.06/0.46 divides_points(1,0,1) = 0.
% 0.06/0.46 divides_points(1,1,0) = 0.
% 0.06/0.46 divides_points(1,1,1) = 0.
% 0.06/0.46 between_on_line(0,0,0,0) = 0.
% 0.06/0.46 between_on_line(0,0,0,1) = 0.
% 0.06/0.46 between_on_line(0,0,1,0) = 0.
% 0.06/0.46 between_on_line(0,0,1,1) = 0.
% 0.06/0.46 between_on_line(0,1,0,0) = 0.
% 0.06/0.46 between_on_line(0,1,0,1) = 0.
% 0.06/0.46 between_on_line(0,1,1,0) = 0.
% 0.06/0.46 between_on_line(0,1,1,1) = 0.
% 0.06/0.46 between_on_line(1,0,0,0) = 0.
% 0.06/0.46 between_on_line(1,0,0,1) = 0.
% 0.06/0.46 between_on_line(1,0,1,0) = 0.
% 0.06/0.46 between_on_line(1,0,1,1) = 0.
% 0.06/0.46 between_on_line(1,1,0,0) = 0.
% 0.06/0.46 between_on_line(1,1,0,1) = 0.
% 0.06/0.46 between_on_line(1,1,1,0) = 0.
% 0.06/0.46 between_on_line(1,1,1,1) = 0.
% 0.06/0.46
% 0.06/0.46 % SZS output end FiniteModel
% 0.06/0.46 ------ process 4282 exit (max_models) ------
% 0.06/0.46
% 0.06/0.46 User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.06/0.46
% 0.06/0.46 Exiting with 1 model.
% 0.06/0.46
% 0.06/0.46 Process 4282 exit (max_models) Tue Feb 7 18:23:01 2017
% 0.06/0.46 The process finished Tue Feb 7 18:23:01 2017
% 0.06/0.46 Mace4 ended
%------------------------------------------------------------------------------