TSTP Solution File: GEO147+1 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : GEO147+1 : TPTP v8.1.0. Released v2.4.0.
% 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 04:08:09 EDT 2022

% Result   : Theorem 0.20s 0.39s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : GEO147+1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.13  % 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 07:03:16 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.38  # No SInE strategy applied
% 0.20/0.38  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S038I
% 0.20/0.38  # and selection function SelectUnlessUniqMaxPos.
% 0.20/0.38  #
% 0.20/0.38  # Presaturation interreduction done
% 0.20/0.38  # Number of axioms: 100 Number of unprocessed: 99
% 0.20/0.38  # Tableaux proof search.
% 0.20/0.38  # APR header successfully linked.
% 0.20/0.38  # Hello from C++
% 0.20/0.38  # The folding up rule is enabled...
% 0.20/0.38  # Local unification is enabled...
% 0.20/0.38  # Any saturation attempts will use folding labels...
% 0.20/0.38  # 99 beginning clauses after preprocessing and clausification
% 0.20/0.38  # Creating start rules for all 2 conjectures.
% 0.20/0.38  # There are 2 start rule candidates:
% 0.20/0.38  # Found 5 unit axioms.
% 0.20/0.38  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.20/0.38  # 2 start rule tableaux created.
% 0.20/0.38  # 94 extension rule candidate clauses
% 0.20/0.38  # 5 unit axiom clauses
% 0.20/0.38  
% 0.20/0.38  # Requested 8, 32 cores available to the main process.
% 0.20/0.38  # There are not enough tableaux to fork, creating more from the initial 2
% 0.20/0.38  # Returning from population with 9 new_tableaux and 0 remaining starting tableaux.
% 0.20/0.38  # We now have 9 tableaux to operate on
% 0.20/0.39  # There were 1 total branch saturation attempts.
% 0.20/0.39  # There were 0 of these attempts blocked.
% 0.20/0.39  # There were 0 deferred branch saturation attempts.
% 0.20/0.39  # There were 0 free duplicated saturations.
% 0.20/0.39  # There were 1 total successful branch saturations.
% 0.20/0.39  # There were 0 successful branch saturations in interreduction.
% 0.20/0.39  # There were 0 successful branch saturations on the branch.
% 0.20/0.39  # There were 1 successful branch saturations after the branch.
% 0.20/0.39  # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.39  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.39  # Begin clausification derivation
% 0.20/0.39  
% 0.20/0.39  # End clausification derivation
% 0.20/0.39  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.20/0.39  cnf(i_0_101, negated_conjecture, (connect(esk28_0,esk29_0,esk27_0))).
% 0.20/0.39  cnf(i_0_70, plain, (open(esk17_1(X1)))).
% 0.20/0.39  cnf(i_0_34, plain, (inner_point(esk8_1(X1),X1))).
% 0.20/0.39  cnf(i_0_76, plain, (start_point(esk20_1(X1),X1))).
% 0.20/0.39  cnf(i_0_49, plain, (~between_c(X1,X2,X3,X2))).
% 0.20/0.39  cnf(i_0_100, negated_conjecture, (~incident_o(esk27_0,trajectory_of(esk28_0))|~incident_o(esk27_0,trajectory_of(esk29_0)))).
% 0.20/0.39  cnf(i_0_29, plain, (~closed(X1)|~end_point(X2,X1))).
% 0.20/0.39  cnf(i_0_19, plain, (~inner_point(X1,X2)|~end_point(X1,X2))).
% 0.20/0.39  cnf(i_0_38, plain, (esk11_2(X1,X2)!=X2|~end_point(X2,X1))).
% 0.20/0.39  cnf(i_0_30, plain, (open(X1)|~end_point(X2,X1))).
% 0.20/0.39  cnf(i_0_28, plain, (closed(X1)|end_point(esk6_1(X1),X1))).
% 0.20/0.39  cnf(i_0_60, plain, (incident_o(X1,X2)|~start_point(X1,X2))).
% 0.20/0.39  cnf(i_0_65, plain, (incident_o(X1,X2)|~finish_point(X1,X2))).
% 0.20/0.39  cnf(i_0_68, plain, (incident_o(X1,X2)|~incident_c(X1,esk17_1(X2)))).
% 0.20/0.39  cnf(i_0_31, plain, (end_point(esk7_1(X1),X1)|~open(X1))).
% 0.20/0.39  cnf(i_0_32, plain, (X1=X2|open(X1)|~part_of(X1,X2))).
% 0.20/0.39  cnf(i_0_17, plain, (incident_c(X1,X2)|~end_point(X1,X2))).
% 0.20/0.39  cnf(i_0_20, plain, (incident_c(X1,X2)|~inner_point(X1,X2))).
% 0.20/0.39  cnf(i_0_93, plain, (once(X1)|~once(at_the_same_time(X2,X1)))).
% 0.20/0.39  cnf(i_0_94, plain, (once(X1)|~once(at_the_same_time(X1,X2)))).
% 0.20/0.39  cnf(i_0_26, plain, (incident_c(X1,X2)|~meet(X1,X3,X2))).
% 0.20/0.39  cnf(i_0_69, plain, (incident_c(X1,esk17_1(X2))|~incident_o(X1,X2))).
% 0.20/0.39  cnf(i_0_66, plain, (incident_o(X1,X2)|~ordered_by(X2,X3,X1))).
% 0.20/0.39  cnf(i_0_67, plain, (incident_o(X1,X2)|~ordered_by(X2,X1,X3))).
% 0.20/0.39  cnf(i_0_96, plain, (incident_o(X1,trajectory_of(X2))|~once(at(X2,X1)))).
% 0.20/0.39  cnf(i_0_27, plain, (incident_c(X1,X2)|~meet(X1,X2,X3))).
% 0.20/0.39  cnf(i_0_92, plain, (once(at_the_same_time(X1,X1))|~once(X1))).
% 0.20/0.39  cnf(i_0_95, plain, (once(at(X1,X2))|~incident_o(X2,trajectory_of(X1)))).
% 0.20/0.39  cnf(i_0_3, plain, (incident_c(X1,X2)|~incident_c(X1,X3)|~part_of(X3,X2))).
% 0.20/0.39  cnf(i_0_85, plain, (incident_c(X1,underlying_curve(X2))|~incident_o(X1,X2))).
% 0.20/0.39  cnf(i_0_1, plain, (part_of(X1,X2)|~incident_c(esk1_2(X2,X1),X2))).
% 0.20/0.39  cnf(i_0_2, plain, (incident_c(esk1_2(X1,X2),X2)|part_of(X2,X1))).
% 0.20/0.39  cnf(i_0_84, plain, (incident_o(X1,X2)|~incident_c(X1,underlying_curve(X2)))).
% 0.20/0.39  cnf(i_0_58, plain, (start_point(X1,X2)|esk15_2(X1,X2)!=X1|~incident_o(X1,X2))).
% 0.20/0.39  cnf(i_0_63, plain, (finish_point(X1,X2)|esk16_2(X1,X2)!=X1|~incident_o(X1,X2))).
% 0.20/0.39  cnf(i_0_18, plain, (inner_point(X1,X2)|end_point(X1,X2)|~incident_c(X1,X2))).
% 0.20/0.39  cnf(i_0_39, plain, (end_point(esk11_2(X1,X2),X1)|~end_point(X2,X1))).
% 0.20/0.39  cnf(i_0_41, plain, (esk12_2(X1,X2)=sum(X1,X2)|~meet(X3,X1,X2))).
% 0.20/0.39  cnf(i_0_24, plain, (end_point(X1,X2)|~meet(X3,X4,X2)|~incident_c(X1,X4)|~incident_c(X1,X2))).
% 0.20/0.39  cnf(i_0_25, plain, (end_point(X1,X2)|~meet(X3,X2,X4)|~incident_c(X1,X4)|~incident_c(X1,X2))).
% 0.20/0.39  cnf(i_0_7, plain, (incident_c(X1,sum(X2,X3))|~incident_c(X1,X3))).
% 0.20/0.39  cnf(i_0_56, plain, (start_point(X1,X2)|~ordered_by(X2,X1,esk15_2(X1,X2)))).
% 0.20/0.39  cnf(i_0_61, plain, (finish_point(X1,X2)|~ordered_by(X2,esk16_2(X1,X2),X1))).
% 0.20/0.39  cnf(i_0_86, plain, (connect(X1,X2,X3)|~once(at_the_same_time(at(X1,X3),at(X2,X3))))).
% 0.20/0.39  cnf(i_0_88, plain, (once(at_the_same_time(X1,X2))|~once(at_the_same_time(X2,X1)))).
% 0.20/0.39  cnf(i_0_8, plain, (incident_c(X1,sum(X2,X3))|~incident_c(X1,X2))).
% 0.20/0.39  cnf(i_0_64, plain, (X1=X2|ordered_by(X3,X2,X1)|~finish_point(X1,X3)|~incident_o(X2,X3))).
% 0.20/0.39  cnf(i_0_59, plain, (X1=X2|ordered_by(X3,X1,X2)|~incident_o(X2,X3)|~start_point(X1,X3))).
% 0.20/0.39  cnf(i_0_11, plain, (end_point(X1,X2)|~incident_c(X1,X2)|~part_of(esk3_2(X1,X2),esk4_2(X1,X2)))).
% 0.20/0.39  cnf(i_0_57, plain, (incident_o(esk15_2(X1,X2),X2)|start_point(X1,X2)|~incident_o(X1,X2))).
% 0.20/0.39  cnf(i_0_62, plain, (finish_point(X1,X2)|incident_o(esk16_2(X1,X2),X2)|~incident_o(X1,X2))).
% 0.20/0.39  cnf(i_0_83, plain, (X1=underlying_curve(X2)|~incident_o(esk24_2(X1,X2),X2)|~incident_c(esk24_2(X1,X2),X1))).
% 0.20/0.39  cnf(i_0_35, plain, (sum(esk9_2(X1,X2),esk10_2(X1,X2))=X1|~inner_point(X2,X1))).
% 0.20/0.39  cnf(i_0_36, plain, (meet(X1,esk9_2(X2,X1),esk10_2(X2,X1))|~inner_point(X1,X2))).
% 0.20/0.39  cnf(i_0_37, plain, (X1=X2|X1=X3|X2=X3|~end_point(X3,X4)|~end_point(X2,X4)|~end_point(X1,X4))).
% 0.20/0.39  cnf(i_0_13, plain, (end_point(X1,X2)|incident_c(X1,esk3_2(X1,X2))|~incident_c(X1,X2))).
% 0.20/0.39  cnf(i_0_10, plain, (end_point(X1,X2)|~incident_c(X1,X2)|~part_of(esk4_2(X1,X2),esk3_2(X1,X2)))).
% 0.20/0.39  cnf(i_0_74, plain, (incident_o(X1,X2)|~between_o(X2,X3,X4,X5)|~incident_c(X1,esk18_4(X3,X4,X5,X2)))).
% 0.20/0.39  cnf(i_0_43, plain, (X1=X2|~incident_c(esk13_2(X1,X2),X2)|~incident_c(esk13_2(X1,X2),X1))).
% 0.20/0.39  cnf(i_0_46, plain, (end_point(X1,esk14_4(X2,X3,X4,X1))|~between_c(X2,X3,X4,X1))).
% 0.20/0.39  cnf(i_0_12, plain, (end_point(X1,X2)|incident_c(X1,esk4_2(X1,X2))|~incident_c(X1,X2))).
% 0.20/0.39  cnf(i_0_87, plain, (once(at_the_same_time(at(X1,X2),at(X3,X2)))|~connect(X1,X3,X2))).
% 0.20/0.39  cnf(i_0_91, plain, (once(at_the_same_time(X1,at_the_same_time(X2,X3)))|~once(at_the_same_time(at_the_same_time(X1,X2),X3)))).
% 0.20/0.39  cnf(i_0_47, plain, (end_point(X1,esk14_4(X2,X1,X3,X4))|~between_c(X2,X1,X3,X4))).
% 0.20/0.39  cnf(i_0_48, plain, (part_of(esk14_4(X1,X2,X3,X4),X1)|~between_c(X1,X2,X3,X4))).
% 0.20/0.39  cnf(i_0_15, plain, (end_point(X1,X2)|part_of(esk3_2(X1,X2),X2)|~incident_c(X1,X2))).
% 0.20/0.39  cnf(i_0_9, plain, (incident_c(X1,X2)|incident_c(X1,X3)|~incident_c(X1,sum(X3,X2)))).
% 0.20/0.39  cnf(i_0_50, plain, (between_o(X1,X2,X3,X4)|~ordered_by(X1,X3,X2)|~ordered_by(X1,X4,X3))).
% 0.20/0.39  cnf(i_0_51, plain, (between_o(X1,X2,X3,X4)|~ordered_by(X1,X3,X4)|~ordered_by(X1,X2,X3))).
% 0.20/0.39  cnf(i_0_14, plain, (end_point(X1,X2)|part_of(esk4_2(X1,X2),X2)|~incident_c(X1,X2))).
% 0.20/0.39  cnf(i_0_40, plain, (meet(X1,X2,X3)|~closed(sum(X2,X3))|~meet(X4,X2,X3)|~end_point(X1,X2))).
% 0.20/0.39  cnf(i_0_90, plain, (once(at_the_same_time(at_the_same_time(X1,X2),X3))|~once(at_the_same_time(X1,at_the_same_time(X2,X3))))).
% 0.20/0.39  cnf(i_0_55, plain, (ordered_by(X1,X2,X3)|ordered_by(X1,X4,X3)|~between_o(X1,X4,X3,X2))).
% 0.20/0.39  cnf(i_0_53, plain, (ordered_by(X1,X2,X3)|ordered_by(X1,X3,X2)|~between_o(X1,X4,X3,X2))).
% 0.20/0.39  cnf(i_0_42, plain, (X1=X2|incident_c(esk13_2(X1,X2),X1)|incident_c(esk13_2(X1,X2),X2))).
% 0.20/0.39  cnf(i_0_99, plain, (once(at_the_same_time(X1,at(X2,esk26_2(X1,X2))))|~once(X1))).
% 0.20/0.39  cnf(i_0_54, plain, (ordered_by(X1,X2,X3)|ordered_by(X1,X3,X2)|~between_o(X1,X3,X2,X4))).
% 0.20/0.39  cnf(i_0_52, plain, (ordered_by(X1,X2,X3)|ordered_by(X1,X2,X4)|~between_o(X1,X3,X2,X4))).
% 0.20/0.39  cnf(i_0_75, plain, (incident_c(X1,esk18_4(X2,X3,X4,X5))|~incident_o(X1,X5)|~between_o(X5,X2,X3,X4))).
% 0.20/0.39  cnf(i_0_45, plain, (inner_point(X1,esk14_4(X2,X3,X1,X4))|~between_c(X2,X3,X1,X4))).
% 0.20/0.39  cnf(i_0_82, plain, (X1=underlying_curve(X2)|incident_o(esk24_2(X1,X2),X2)|incident_c(esk24_2(X1,X2),X1))).
% 0.20/0.39  cnf(i_0_79, plain, (X1=X2|incident_c(X3,X4)|~incident_o(X3,esk21_3(X1,X2,X4))|~open(X4)|~incident_c(X2,X4)|~incident_c(X1,X4))).
% 0.20/0.39  cnf(i_0_77, plain, (X1=X2|ordered_by(esk21_3(X1,X2,X3),X1,X2)|~open(X3)|~incident_c(X2,X3)|~incident_c(X1,X3))).
% 0.20/0.39  cnf(i_0_78, plain, (X1=X2|incident_o(X3,esk21_3(X1,X2,X4))|~open(X4)|~incident_c(X2,X4)|~incident_c(X1,X4)|~incident_c(X3,X4))).
% 0.20/0.39  cnf(i_0_5, plain, (X1=sum(X2,X3)|~incident_c(esk2_3(X1,X2,X3),X3)|~incident_c(esk2_3(X1,X2,X3),X1))).
% 0.20/0.39  cnf(i_0_16, plain, (part_of(X1,X2)|part_of(X2,X1)|~end_point(X3,X4)|~incident_c(X3,X2)|~incident_c(X3,X1)|~part_of(X2,X4)|~part_of(X1,X4))).
% 0.20/0.39  cnf(i_0_73, plain, (between_c(esk18_4(X1,X2,X3,X4),X1,X2,X3)|~between_o(X4,X1,X2,X3))).
% 0.20/0.39  cnf(i_0_6, plain, (X1=sum(X2,X3)|~incident_c(esk2_3(X1,X2,X3),X2)|~incident_c(esk2_3(X1,X2,X3),X1))).
% 0.20/0.39  cnf(i_0_44, plain, (X1=X2|between_c(X3,X1,X4,X2)|~inner_point(X4,X5)|~end_point(X2,X5)|~end_point(X1,X5)|~part_of(X5,X3))).
% 0.20/0.39  cnf(i_0_81, plain, (X1=X2|~ordered_by(X2,esk22_2(X1,X2),esk23_2(X1,X2))|~ordered_by(X1,esk22_2(X1,X2),esk23_2(X1,X2)))).
% 0.20/0.39  cnf(i_0_22, plain, (meet(X1,X2,X3)|incident_c(esk5_3(X1,X2,X3),X3)|~incident_c(X1,X3)|~incident_c(X1,X2))).
% 0.20/0.39  cnf(i_0_23, plain, (meet(X1,X2,X3)|incident_c(esk5_3(X1,X2,X3),X2)|~incident_c(X1,X3)|~incident_c(X1,X2))).
% 0.20/0.39  cnf(i_0_21, plain, (meet(X1,X2,X3)|~end_point(esk5_3(X1,X2,X3),X3)|~end_point(esk5_3(X1,X2,X3),X2)|~incident_c(X1,X3)|~incident_c(X1,X2))).
% 0.20/0.39  cnf(i_0_72, plain, (between_o(X1,X2,X3,X4)|~incident_o(esk19_5(X2,X3,X4,X1,X5),X1)|~between_c(X5,X2,X3,X4)|~incident_c(esk19_5(X2,X3,X4,X1,X5),X5))).
% 0.20/0.39  cnf(i_0_98, plain, (~once(at_the_same_time(at(X1,X2),at(X3,X4)))|~once(at_the_same_time(at(X1,X5),at(X3,X6)))|~ordered_by(trajectory_of(X3),X4,X6)|~ordered_by(trajectory_of(X1),X5,X2))).
% 0.20/0.39  cnf(i_0_71, plain, (incident_o(esk19_5(X1,X2,X3,X4,X5),X4)|between_o(X4,X1,X2,X3)|incident_c(esk19_5(X1,X2,X3,X4,X5),X5)|~between_c(X5,X1,X2,X3))).
% 0.20/0.39  cnf(i_0_80, plain, (X1=X2|ordered_by(X1,esk22_2(X1,X2),esk23_2(X1,X2))|ordered_by(X2,esk22_2(X1,X2),esk23_2(X1,X2)))).
% 0.20/0.39  cnf(i_0_4, plain, (X1=sum(X2,X3)|incident_c(esk2_3(X1,X2,X3),X1)|incident_c(esk2_3(X1,X2,X3),X2)|incident_c(esk2_3(X1,X2,X3),X3))).
% 0.20/0.39  cnf(i_0_33, plain, (part_of(X1,X2)|part_of(X1,X3)|part_of(X2,X1)|part_of(X2,X3)|part_of(X3,X1)|part_of(X3,X2)|~end_point(X4,X3)|~end_point(X4,X2)|~end_point(X4,X1)|~part_of(X3,X5)|~part_of(X2,X5)|~part_of(X1,X5))).
% 0.20/0.39  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.20/0.39  # Begin printing tableau
% 0.20/0.39  # Found 4 steps
% 0.20/0.39  cnf(i_0_101, negated_conjecture, (connect(esk28_0,esk29_0,esk27_0)), inference(start_rule)).
% 0.20/0.39  cnf(i_0_111, plain, (connect(esk28_0,esk29_0,esk27_0)), inference(extension_rule, [i_0_87])).
% 0.20/0.39  cnf(i_0_525, plain, (once(at_the_same_time(at(esk28_0,esk27_0),at(esk29_0,esk27_0)))), inference(extension_rule, [i_0_93])).
% 0.20/0.39  cnf(i_0_552, plain, (once(at(esk29_0,esk27_0))), inference(etableau_closure_rule, [i_0_552, ...])).
% 0.20/0.39  # End printing tableau
% 0.20/0.39  # SZS output end
% 0.20/0.39  # Branches closed with saturation will be marked with an "s"
% 0.20/0.39  # Child (9206) has found a proof.
% 0.20/0.39  
% 0.20/0.39  # Proof search is over...
% 0.20/0.39  # Freeing feature tree
%------------------------------------------------------------------------------