TSTP Solution File: GEO222+1 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : GEO222+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s

% Computer : n003.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 04:08:53 EDT 2022

% Result   : Theorem 0.18s 0.45s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GEO222+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.12/0.33  % Computer : n003.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Fri Jun 17 20:58:12 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.36  # No SInE strategy applied
% 0.18/0.36  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.18/0.36  # and selection function SelectComplexExceptUniqMaxHorn.
% 0.18/0.36  #
% 0.18/0.36  # Presaturation interreduction done
% 0.18/0.36  # Number of axioms: 26 Number of unprocessed: 25
% 0.18/0.36  # Tableaux proof search.
% 0.18/0.36  # APR header successfully linked.
% 0.18/0.36  # Hello from C++
% 0.18/0.44  # The folding up rule is enabled...
% 0.18/0.44  # Local unification is enabled...
% 0.18/0.44  # Any saturation attempts will use folding labels...
% 0.18/0.44  # 25 beginning clauses after preprocessing and clausification
% 0.18/0.44  # Creating start rules for all 1 conjectures.
% 0.18/0.44  # There are 1 start rule candidates:
% 0.18/0.44  # Found 8 unit axioms.
% 0.18/0.44  # 1 start rule tableaux created.
% 0.18/0.44  # 17 extension rule candidate clauses
% 0.18/0.44  # 8 unit axiom clauses
% 0.18/0.44  
% 0.18/0.44  # Requested 8, 32 cores available to the main process.
% 0.18/0.44  # There are not enough tableaux to fork, creating more from the initial 1
% 0.18/0.45  # There were 2 total branch saturation attempts.
% 0.18/0.45  # There were 0 of these attempts blocked.
% 0.18/0.45  # There were 0 deferred branch saturation attempts.
% 0.18/0.45  # There were 0 free duplicated saturations.
% 0.18/0.45  # There were 2 total successful branch saturations.
% 0.18/0.45  # There were 0 successful branch saturations in interreduction.
% 0.18/0.45  # There were 0 successful branch saturations on the branch.
% 0.18/0.45  # There were 2 successful branch saturations after the branch.
% 0.18/0.45  # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45  # Begin clausification derivation
% 0.18/0.45  
% 0.18/0.45  # End clausification derivation
% 0.18/0.45  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.18/0.45  cnf(i_0_26, negated_conjecture, (convergent_lines(esk2_0,orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0)))).
% 0.18/0.45  cnf(i_0_3, plain, (~convergent_lines(X1,X1))).
% 0.18/0.45  cnf(i_0_1, plain, (~distinct_points(X1,X1))).
% 0.18/0.45  cnf(i_0_2, plain, (~distinct_lines(X1,X1))).
% 0.18/0.45  cnf(i_0_24, plain, (~apart_point_and_line(X1,orthogonal_through_point(X2,X1)))).
% 0.18/0.45  cnf(i_0_16, plain, (~apart_point_and_line(X1,parallel_through_point(X2,X1)))).
% 0.18/0.45  cnf(i_0_15, plain, (~convergent_lines(parallel_through_point(X1,X2),X1))).
% 0.18/0.45  cnf(i_0_23, plain, (~unorthogonal_lines(orthogonal_through_point(X1,X2),X1))).
% 0.18/0.45  cnf(i_0_18, plain, (unorthogonal_lines(X1,X2)|convergent_lines(X1,X2))).
% 0.18/0.45  cnf(i_0_6, plain, (convergent_lines(X1,X2)|convergent_lines(X3,X2)|~convergent_lines(X1,X3))).
% 0.18/0.45  cnf(i_0_8, plain, (~apart_point_and_line(X1,line_connecting(X2,X1))|~distinct_points(X2,X1))).
% 0.18/0.45  cnf(i_0_10, plain, (~apart_point_and_line(intersection_point(X1,X2),X2)|~convergent_lines(X1,X2))).
% 0.18/0.45  cnf(i_0_9, plain, (~apart_point_and_line(intersection_point(X1,X2),X1)|~convergent_lines(X1,X2))).
% 0.18/0.45  cnf(i_0_7, plain, (~apart_point_and_line(X1,line_connecting(X1,X2))|~distinct_points(X1,X2))).
% 0.18/0.45  cnf(i_0_14, plain, (convergent_lines(X1,X2)|distinct_lines(X3,X2)|~convergent_lines(X1,X3))).
% 0.18/0.45  cnf(i_0_4, plain, (distinct_points(X1,X2)|distinct_points(X3,X2)|~distinct_points(X1,X3))).
% 0.18/0.45  cnf(i_0_12, plain, (apart_point_and_line(X1,X2)|distinct_points(X3,X1)|~apart_point_and_line(X3,X2))).
% 0.18/0.45  cnf(i_0_5, plain, (distinct_lines(X1,X2)|distinct_lines(X3,X2)|~distinct_lines(X1,X3))).
% 0.18/0.45  cnf(i_0_13, plain, (apart_point_and_line(X1,X2)|distinct_lines(X3,X2)|~apart_point_and_line(X1,X3))).
% 0.18/0.45  cnf(i_0_21, plain, (unorthogonal_lines(X1,X2)|convergent_lines(X3,X2)|~unorthogonal_lines(X3,X1)|~convergent_lines(X3,X1))).
% 0.18/0.45  cnf(i_0_20, plain, (unorthogonal_lines(X1,X2)|convergent_lines(X3,X2)|~unorthogonal_lines(X1,X3)|~convergent_lines(X1,X3))).
% 0.18/0.45  cnf(i_0_17, plain, (apart_point_and_line(X1,X2)|apart_point_and_line(X1,X3)|convergent_lines(X2,X3)|~distinct_lines(X2,X3))).
% 0.18/0.45  cnf(i_0_19, plain, (unorthogonal_lines(X1,X2)|unorthogonal_lines(X3,X2)|~unorthogonal_lines(X3,X1)|~convergent_lines(X3,X1))).
% 0.18/0.45  cnf(i_0_25, plain, (unorthogonal_lines(X1,X2)|unorthogonal_lines(X3,X2)|apart_point_and_line(X4,X1)|apart_point_and_line(X4,X3)|~distinct_lines(X1,X3))).
% 0.18/0.45  cnf(i_0_11, plain, (apart_point_and_line(X1,X2)|apart_point_and_line(X1,X3)|apart_point_and_line(X4,X2)|apart_point_and_line(X4,X3)|~distinct_lines(X2,X3)|~distinct_points(X1,X4))).
% 0.18/0.45  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.18/0.45  # Begin printing tableau
% 0.18/0.45  # Found 8 steps
% 0.18/0.45  cnf(i_0_26, negated_conjecture, (convergent_lines(esk2_0,orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0))), inference(start_rule)).
% 0.18/0.45  cnf(i_0_27, plain, (convergent_lines(esk2_0,orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0))), inference(extension_rule, [i_0_19])).
% 0.18/0.45  cnf(i_0_68, plain, (unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0),orthogonal_through_point(esk2_0,esk1_0))), inference(closure_rule, [i_0_23])).
% 0.18/0.45  cnf(i_0_69, plain, (unorthogonal_lines(esk2_0,orthogonal_through_point(esk2_0,esk1_0))), inference(extension_rule, [i_0_21])).
% 0.18/0.45  cnf(i_0_111, plain, (unorthogonal_lines(orthogonal_through_point(esk2_0,esk1_0),esk2_0)), inference(closure_rule, [i_0_23])).
% 0.18/0.45  cnf(i_0_112, plain, (convergent_lines(esk2_0,esk2_0)), inference(closure_rule, [i_0_3])).
% 0.18/0.45  cnf(i_0_70, plain, (~unorthogonal_lines(esk2_0,orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0))), inference(etableau_closure_rule, [i_0_70, ...])).
% 0.18/0.45  cnf(i_0_114, plain, (~convergent_lines(esk2_0,orthogonal_through_point(esk2_0,esk1_0))), inference(etableau_closure_rule, [i_0_114, ...])).
% 0.18/0.45  # End printing tableau
% 0.18/0.45  # SZS output end
% 0.18/0.45  # Branches closed with saturation will be marked with an "s"
% 0.18/0.45  # Returning from population with 7 new_tableaux and 0 remaining starting tableaux.
% 0.18/0.45  # We now have 7 tableaux to operate on
% 0.18/0.45  # Found closed tableau during pool population.
% 0.18/0.45  # Proof search is over...
% 0.18/0.45  # Freeing feature tree
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