TSTP Solution File: GEO182+3 by Etableau---0.67
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : GEO182+3 : TPTP v8.1.0. Released v4.0.0.
% 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 : n021.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 04:08:24 EDT 2022
% Result : Theorem 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO182+3 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.34 % Computer : n021.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 : 600
% 0.13/0.34 % DateTime : Sat Jun 18 03:35:31 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.37 # No SInE strategy applied
% 0.13/0.37 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.13/0.37 # and selection function SelectComplexExceptUniqMaxHorn.
% 0.13/0.37 #
% 0.13/0.37 # Presaturation interreduction done
% 0.13/0.37 # Number of axioms: 49 Number of unprocessed: 45
% 0.13/0.37 # Tableaux proof search.
% 0.13/0.37 # APR header successfully linked.
% 0.13/0.37 # Hello from C++
% 0.13/0.37 # The folding up rule is enabled...
% 0.13/0.37 # Local unification is enabled...
% 0.13/0.37 # Any saturation attempts will use folding labels...
% 0.13/0.37 # 45 beginning clauses after preprocessing and clausification
% 0.13/0.37 # Creating start rules for all 3 conjectures.
% 0.13/0.37 # There are 3 start rule candidates:
% 0.13/0.37 # Found 10 unit axioms.
% 0.13/0.37 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.13/0.37 # 3 start rule tableaux created.
% 0.13/0.37 # 35 extension rule candidate clauses
% 0.13/0.37 # 10 unit axiom clauses
% 0.13/0.37
% 0.13/0.37 # Requested 8, 32 cores available to the main process.
% 0.13/0.37 # There are not enough tableaux to fork, creating more from the initial 3
% 0.13/0.37 # Returning from population with 11 new_tableaux and 0 remaining starting tableaux.
% 0.13/0.37 # We now have 11 tableaux to operate on
% 0.13/0.39 # There were 1 total branch saturation attempts.
% 0.13/0.39 # There were 0 of these attempts blocked.
% 0.13/0.39 # There were 0 deferred branch saturation attempts.
% 0.13/0.39 # There were 0 free duplicated saturations.
% 0.13/0.39 # There were 1 total successful branch saturations.
% 0.13/0.39 # There were 0 successful branch saturations in interreduction.
% 0.13/0.39 # There were 0 successful branch saturations on the branch.
% 0.13/0.39 # There were 1 successful branch saturations after the branch.
% 0.13/0.39 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.39 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.39 # Begin clausification derivation
% 0.13/0.39
% 0.13/0.39 # End clausification derivation
% 0.13/0.39 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.13/0.39 cnf(i_0_49, negated_conjecture, (distinct_points(esk1_0,esk2_0))).
% 0.13/0.39 cnf(i_0_48, negated_conjecture, (apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0)))).
% 0.13/0.39 cnf(i_0_47, negated_conjecture, (~apart_point_and_line(esk3_0,line_connecting(esk2_0,esk1_0)))).
% 0.13/0.39 cnf(i_0_1, plain, (~distinct_points(X1,X1))).
% 0.13/0.39 cnf(i_0_2, plain, (~distinct_lines(X1,X1))).
% 0.13/0.39 cnf(i_0_3, plain, (~convergent_lines(X1,X1))).
% 0.13/0.39 cnf(i_0_17, plain, (~apart_point_and_line(X1,parallel_through_point(X2,X1)))).
% 0.13/0.39 cnf(i_0_25, plain, (~apart_point_and_line(X1,orthogonal_through_point(X2,X1)))).
% 0.13/0.39 cnf(i_0_16, plain, (~convergent_lines(parallel_through_point(X1,X2),X1))).
% 0.13/0.39 cnf(i_0_24, plain, (~unorthogonal_lines(orthogonal_through_point(X1,X2),X1))).
% 0.13/0.39 cnf(i_0_37, plain, (equal_points(X1,X2)|distinct_points(X1,X2))).
% 0.13/0.39 cnf(i_0_38, plain, (~equal_points(X1,X2)|~distinct_points(X1,X2))).
% 0.13/0.39 cnf(i_0_40, plain, (~equal_lines(X1,X2)|~distinct_lines(X1,X2))).
% 0.13/0.39 cnf(i_0_42, plain, (~parallel_lines(X1,X2)|~convergent_lines(X1,X2))).
% 0.13/0.39 cnf(i_0_44, plain, (~incident_point_and_line(X1,X2)|~apart_point_and_line(X1,X2))).
% 0.13/0.39 cnf(i_0_8, plain, (~apart_point_and_line(X1,line_connecting(X2,X1))|~distinct_points(X2,X1))).
% 0.13/0.39 cnf(i_0_7, plain, (~apart_point_and_line(X1,line_connecting(X1,X2))|~distinct_points(X1,X2))).
% 0.13/0.39 cnf(i_0_39, plain, (equal_lines(X1,X2)|distinct_lines(X1,X2))).
% 0.13/0.39 cnf(i_0_43, plain, (incident_point_and_line(X1,X2)|apart_point_and_line(X1,X2))).
% 0.13/0.39 cnf(i_0_46, plain, (~orthogonal_lines(X1,X2)|~unorthogonal_lines(X1,X2))).
% 0.13/0.39 cnf(i_0_15, plain, (convergent_lines(X1,X2)|~distinct_lines(X1,X2))).
% 0.13/0.39 cnf(i_0_10, plain, (~apart_point_and_line(intersection_point(X1,X2),X2)|~convergent_lines(X1,X2))).
% 0.13/0.39 cnf(i_0_19, plain, (unorthogonal_lines(X1,X2)|convergent_lines(X1,X2))).
% 0.13/0.39 cnf(i_0_9, plain, (~apart_point_and_line(intersection_point(X1,X2),X1)|~convergent_lines(X1,X2))).
% 0.13/0.39 cnf(i_0_41, plain, (parallel_lines(X1,X2)|convergent_lines(X1,X2))).
% 0.13/0.39 cnf(i_0_45, plain, (orthogonal_lines(X1,X2)|unorthogonal_lines(X1,X2))).
% 0.13/0.39 cnf(i_0_35, plain, (line(parallel_through_point(X1,X2))|~line(X1)|~point(X2))).
% 0.13/0.39 cnf(i_0_36, plain, (line(orthogonal_through_point(X1,X2))|~line(X1)|~point(X2))).
% 0.13/0.39 cnf(i_0_34, plain, (point(intersection_point(X1,X2))|~line(X2)|~line(X1)|~convergent_lines(X1,X2))).
% 0.13/0.39 cnf(i_0_33, plain, (line(line_connecting(X1,X2))|~point(X2)|~point(X1)|~distinct_points(X1,X2))).
% 0.13/0.39 cnf(i_0_4, plain, (distinct_points(X1,X2)|distinct_points(X3,X2)|~distinct_points(X1,X3))).
% 0.13/0.39 cnf(i_0_12, plain, (apart_point_and_line(X1,X2)|distinct_points(X3,X1)|~apart_point_and_line(X3,X2))).
% 0.13/0.39 cnf(i_0_13, plain, (apart_point_and_line(X1,X2)|distinct_lines(X3,X2)|~apart_point_and_line(X1,X3))).
% 0.13/0.39 cnf(i_0_5, plain, (distinct_lines(X1,X2)|distinct_lines(X3,X2)|~distinct_lines(X1,X3))).
% 0.13/0.39 cnf(i_0_14, plain, (convergent_lines(X1,X2)|distinct_lines(X3,X2)|~convergent_lines(X1,X3))).
% 0.13/0.39 cnf(i_0_6, plain, (convergent_lines(X1,X2)|convergent_lines(X3,X2)|~convergent_lines(X1,X3))).
% 0.13/0.39 cnf(i_0_32, plain, (unorthogonal_lines(X1,X2)|unorthogonal_lines(X1,X3)|~convergent_lines(X2,X3))).
% 0.13/0.39 cnf(i_0_22, plain, (unorthogonal_lines(X1,X2)|convergent_lines(X3,X2)|~unorthogonal_lines(X3,X1)|~convergent_lines(X3,X1))).
% 0.13/0.39 cnf(i_0_31, plain, (convergent_lines(X1,X2)|convergent_lines(X1,X3)|~unorthogonal_lines(X3,X2)|~convergent_lines(X3,X2))).
% 0.13/0.39 cnf(i_0_30, plain, (unorthogonal_lines(X1,X2)|convergent_lines(X1,X3)|~unorthogonal_lines(X3,X2)|~convergent_lines(X3,X2))).
% 0.13/0.39 cnf(i_0_21, plain, (unorthogonal_lines(X1,X2)|convergent_lines(X3,X2)|~unorthogonal_lines(X1,X3)|~convergent_lines(X1,X3))).
% 0.13/0.39 cnf(i_0_29, plain, (unorthogonal_lines(X1,X2)|convergent_lines(X1,X3)|~unorthogonal_lines(X2,X3)|~convergent_lines(X2,X3))).
% 0.13/0.39 cnf(i_0_20, plain, (unorthogonal_lines(X1,X2)|unorthogonal_lines(X3,X2)|~unorthogonal_lines(X3,X1)|~convergent_lines(X3,X1))).
% 0.13/0.39 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))).
% 0.13/0.39 cnf(i_0_26, 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))).
% 0.13/0.39 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.13/0.39 # Begin printing tableau
% 0.13/0.39 # Found 6 steps
% 0.13/0.39 cnf(i_0_48, negated_conjecture, (apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0))), inference(start_rule)).
% 0.13/0.39 cnf(i_0_51, plain, (apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0))), inference(extension_rule, [i_0_12])).
% 0.13/0.39 cnf(i_0_314, plain, (apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0))), inference(extension_rule, [i_0_8])).
% 0.13/0.39 cnf(i_0_326, plain, (~distinct_points(esk1_0,esk2_0)), inference(closure_rule, [i_0_49])).
% 0.13/0.39 cnf(i_0_315, plain, (distinct_points(esk3_0,esk2_0)), inference(extension_rule, [i_0_38])).
% 0.13/0.39 cnf(i_0_329, plain, (~equal_points(esk3_0,esk2_0)), inference(etableau_closure_rule, [i_0_329, ...])).
% 0.13/0.39 # End printing tableau
% 0.13/0.39 # SZS output end
% 0.13/0.39 # Branches closed with saturation will be marked with an "s"
% 0.13/0.39 # There were 1 total branch saturation attempts.
% 0.13/0.39 # There were 0 of these attempts blocked.
% 0.13/0.39 # There were 0 deferred branch saturation attempts.
% 0.13/0.39 # There were 0 free duplicated saturations.
% 0.13/0.39 # There were 1 total successful branch saturations.
% 0.13/0.39 # There were 0 successful branch saturations in interreduction.
% 0.13/0.39 # There were 0 successful branch saturations on the branch.
% 0.13/0.39 # There were 1 successful branch saturations after the branch.
% 0.13/0.39 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.39 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.39 # Begin clausification derivation
% 0.13/0.39
% 0.13/0.39 # End clausification derivation
% 0.13/0.39 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.13/0.39 cnf(i_0_49, negated_conjecture, (distinct_points(esk1_0,esk2_0))).
% 0.13/0.39 cnf(i_0_48, negated_conjecture, (apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0)))).
% 0.13/0.39 cnf(i_0_47, negated_conjecture, (~apart_point_and_line(esk3_0,line_connecting(esk2_0,esk1_0)))).
% 0.13/0.39 cnf(i_0_1, plain, (~distinct_points(X1,X1))).
% 0.13/0.39 cnf(i_0_2, plain, (~distinct_lines(X1,X1))).
% 0.13/0.39 cnf(i_0_3, plain, (~convergent_lines(X1,X1))).
% 0.13/0.39 cnf(i_0_17, plain, (~apart_point_and_line(X1,parallel_through_point(X2,X1)))).
% 0.13/0.39 cnf(i_0_25, plain, (~apart_point_and_line(X1,orthogonal_through_point(X2,X1)))).
% 0.13/0.39 cnf(i_0_16, plain, (~convergent_lines(parallel_through_point(X1,X2),X1))).
% 0.13/0.39 cnf(i_0_24, plain, (~unorthogonal_lines(orthogonal_through_point(X1,X2),X1))).
% 0.13/0.39 cnf(i_0_37, plain, (equal_points(X1,X2)|distinct_points(X1,X2))).
% 0.13/0.39 cnf(i_0_38, plain, (~equal_points(X1,X2)|~distinct_points(X1,X2))).
% 0.13/0.39 cnf(i_0_40, plain, (~equal_lines(X1,X2)|~distinct_lines(X1,X2))).
% 0.13/0.39 cnf(i_0_42, plain, (~parallel_lines(X1,X2)|~convergent_lines(X1,X2))).
% 0.13/0.39 cnf(i_0_44, plain, (~incident_point_and_line(X1,X2)|~apart_point_and_line(X1,X2))).
% 0.13/0.39 cnf(i_0_8, plain, (~apart_point_and_line(X1,line_connecting(X2,X1))|~distinct_points(X2,X1))).
% 0.13/0.39 cnf(i_0_7, plain, (~apart_point_and_line(X1,line_connecting(X1,X2))|~distinct_points(X1,X2))).
% 0.13/0.39 cnf(i_0_39, plain, (equal_lines(X1,X2)|distinct_lines(X1,X2))).
% 0.13/0.39 cnf(i_0_43, plain, (incident_point_and_line(X1,X2)|apart_point_and_line(X1,X2))).
% 0.13/0.39 cnf(i_0_46, plain, (~orthogonal_lines(X1,X2)|~unorthogonal_lines(X1,X2))).
% 0.13/0.39 cnf(i_0_15, plain, (convergent_lines(X1,X2)|~distinct_lines(X1,X2))).
% 0.13/0.39 cnf(i_0_10, plain, (~apart_point_and_line(intersection_point(X1,X2),X2)|~convergent_lines(X1,X2))).
% 0.13/0.39 cnf(i_0_19, plain, (unorthogonal_lines(X1,X2)|convergent_lines(X1,X2))).
% 0.13/0.39 cnf(i_0_9, plain, (~apart_point_and_line(intersection_point(X1,X2),X1)|~convergent_lines(X1,X2))).
% 0.13/0.39 cnf(i_0_41, plain, (parallel_lines(X1,X2)|convergent_lines(X1,X2))).
% 0.13/0.39 cnf(i_0_45, plain, (orthogonal_lines(X1,X2)|unorthogonal_lines(X1,X2))).
% 0.13/0.39 cnf(i_0_35, plain, (line(parallel_through_point(X1,X2))|~line(X1)|~point(X2))).
% 0.13/0.39 cnf(i_0_36, plain, (line(orthogonal_through_point(X1,X2))|~line(X1)|~point(X2))).
% 0.13/0.39 cnf(i_0_34, plain, (point(intersection_point(X1,X2))|~line(X2)|~line(X1)|~convergent_lines(X1,X2))).
% 0.13/0.39 cnf(i_0_33, plain, (line(line_connecting(X1,X2))|~point(X2)|~point(X1)|~distinct_points(X1,X2))).
% 0.13/0.39 cnf(i_0_4, plain, (distinct_points(X1,X2)|distinct_points(X3,X2)|~distinct_points(X1,X3))).
% 0.13/0.39 cnf(i_0_12, plain, (apart_point_and_line(X1,X2)|distinct_points(X3,X1)|~apart_point_and_line(X3,X2))).
% 0.13/0.39 cnf(i_0_13, plain, (apart_point_and_line(X1,X2)|distinct_lines(X3,X2)|~apart_point_and_line(X1,X3))).
% 0.13/0.39 cnf(i_0_5, plain, (distinct_lines(X1,X2)|distinct_lines(X3,X2)|~distinct_lines(X1,X3))).
% 0.13/0.39 cnf(i_0_14, plain, (convergent_lines(X1,X2)|distinct_lines(X3,X2)|~convergent_lines(X1,X3))).
% 0.13/0.39 cnf(i_0_6, plain, (convergent_lines(X1,X2)|convergent_lines(X3,X2)|~convergent_lines(X1,X3))).
% 0.13/0.39 cnf(i_0_32, plain, (unorthogonal_lines(X1,X2)|unorthogonal_lines(X1,X3)|~convergent_lines(X2,X3))).
% 0.13/0.39 cnf(i_0_22, plain, (unorthogonal_lines(X1,X2)|convergent_lines(X3,X2)|~unorthogonal_lines(X3,X1)|~convergent_lines(X3,X1))).
% 0.13/0.39 cnf(i_0_31, plain, (convergent_lines(X1,X2)|convergent_lines(X1,X3)|~unorthogonal_lines(X3,X2)|~convergent_lines(X3,X2))).
% 0.13/0.39 cnf(i_0_30, plain, (unorthogonal_lines(X1,X2)|convergent_lines(X1,X3)|~unorthogonal_lines(X3,X2)|~convergent_lines(X3,X2))).
% 0.13/0.39 cnf(i_0_21, plain, (unorthogonal_lines(X1,X2)|convergent_lines(X3,X2)|~unorthogonal_lines(X1,X3)|~convergent_lines(X1,X3))).
% 0.13/0.39 cnf(i_0_29, plain, (unorthogonal_lines(X1,X2)|convergent_lines(X1,X3)|~unorthogonal_lines(X2,X3)|~convergent_lines(X2,X3))).
% 0.13/0.39 cnf(i_0_20, plain, (unorthogonal_lines(X1,X2)|unorthogonal_lines(X3,X2)|~unorthogonal_lines(X3,X1)|~convergent_lines(X3,X1))).
% 0.13/0.39 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))).
% 0.13/0.39 cnf(i_0_26, 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))).
% 0.13/0.39 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.13/0.39 # Begin printing tableau
% 0.13/0.39 # Found 4 steps
% 0.13/0.39 cnf(i_0_49, negated_conjecture, (distinct_points(esk1_0,esk2_0)), inference(start_rule)).
% 0.13/0.39 cnf(i_0_52, plain, (distinct_points(esk1_0,esk2_0)), inference(extension_rule, [i_0_8])).
% 0.13/0.39 cnf(i_0_269, plain, (~apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0))), inference(extension_rule, [i_0_43])).
% 0.13/0.39 cnf(i_0_283, plain, (incident_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0))), inference(etableau_closure_rule, [i_0_283, ...])).
% 0.13/0.39 # End printing tableau
% 0.13/0.39 # SZS output end
% 0.13/0.39 # Branches closed with saturation will be marked with an "s"
% 0.13/0.39 # Child (26867) has found a proof.
% 0.13/0.39
% 0.13/0.39 # Proof search is over...
% 0.13/0.39 # Freeing feature tree
%------------------------------------------------------------------------------