TSTP Solution File: GEO093+1 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : GEO093+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 : n028.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 04:07:46 EDT 2022

% Result   : Theorem 3.47s 0.81s
% Output   : CNFRefutation 3.47s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : GEO093+1 : TPTP v8.1.0. Released v2.4.0.
% 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 : n028.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 : Sat Jun 18 03:54:28 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.36  # No SInE strategy applied
% 0.12/0.36  # Auto-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y
% 0.12/0.36  # and selection function SelectMaxLComplexAvoidPosPred.
% 0.12/0.36  #
% 0.12/0.36  # Number of axioms: 48 Number of unprocessed: 48
% 0.12/0.36  # Tableaux proof search.
% 0.12/0.36  # APR header successfully linked.
% 0.12/0.36  # Hello from C++
% 0.12/0.36  # The folding up rule is enabled...
% 0.12/0.36  # Local unification is enabled...
% 0.12/0.36  # Any saturation attempts will use folding labels...
% 0.12/0.36  # 48 beginning clauses after preprocessing and clausification
% 0.12/0.36  # Creating start rules for all 5 conjectures.
% 0.12/0.36  # There are 5 start rule candidates:
% 0.12/0.36  # Found 6 unit axioms.
% 0.12/0.36  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.12/0.36  # 5 start rule tableaux created.
% 0.12/0.36  # 42 extension rule candidate clauses
% 0.12/0.36  # 6 unit axiom clauses
% 0.12/0.36  
% 0.12/0.36  # Requested 8, 32 cores available to the main process.
% 0.12/0.36  # There are not enough tableaux to fork, creating more from the initial 5
% 0.12/0.36  # Returning from population with 11 new_tableaux and 0 remaining starting tableaux.
% 0.12/0.36  # We now have 11 tableaux to operate on
% 3.47/0.81  # There were 5 total branch saturation attempts.
% 3.47/0.81  # There were 0 of these attempts blocked.
% 3.47/0.81  # There were 0 deferred branch saturation attempts.
% 3.47/0.81  # There were 0 free duplicated saturations.
% 3.47/0.81  # There were 5 total successful branch saturations.
% 3.47/0.81  # There were 1 successful branch saturations in interreduction.
% 3.47/0.81  # There were 0 successful branch saturations on the branch.
% 3.47/0.81  # There were 4 successful branch saturations after the branch.
% 3.47/0.81  # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.47/0.81  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.47/0.81  # Begin clausification derivation
% 3.47/0.81  
% 3.47/0.81  # End clausification derivation
% 3.47/0.81  # Begin listing active clauses obtained from FOF to CNF conversion
% 3.47/0.81  cnf(i_0_48, negated_conjecture, (open(esk14_0))).
% 3.47/0.81  cnf(i_0_47, negated_conjecture, (part_of(esk15_0,esk14_0))).
% 3.47/0.81  cnf(i_0_46, negated_conjecture, (part_of(esk16_0,esk14_0))).
% 3.47/0.81  cnf(i_0_34, plain, (inner_point(esk8_1(X1),X1))).
% 3.47/0.81  cnf(i_0_28, plain, (closed(X1)|end_point(esk6_1(X1),X1))).
% 3.47/0.81  cnf(i_0_30, plain, (open(X2)|~end_point(X1,X2))).
% 3.47/0.81  cnf(i_0_31, plain, (end_point(esk7_1(X1),X1)|~open(X1))).
% 3.47/0.81  cnf(i_0_32, plain, (X1=X2|open(X1)|~part_of(X1,X2))).
% 3.47/0.81  cnf(i_0_29, plain, (~closed(X1)|~end_point(X2,X1))).
% 3.47/0.81  cnf(i_0_17, plain, (incident_c(X1,X2)|~end_point(X1,X2))).
% 3.47/0.81  cnf(i_0_20, plain, (incident_c(X1,X2)|~inner_point(X1,X2))).
% 3.47/0.81  cnf(i_0_44, negated_conjecture, (~open(sum(esk15_0,esk16_0)))).
% 3.47/0.81  cnf(i_0_19, plain, (~end_point(X1,X2)|~inner_point(X1,X2))).
% 3.47/0.81  cnf(i_0_38, plain, (esk11_2(X2,X1)!=X1|~end_point(X1,X2))).
% 3.47/0.81  cnf(i_0_45, negated_conjecture, (meet(esk17_0,esk15_0,esk16_0))).
% 3.47/0.81  cnf(i_0_18, plain, (end_point(X1,X2)|inner_point(X1,X2)|~incident_c(X1,X2))).
% 3.47/0.81  cnf(i_0_2, plain, (part_of(X2,X1)|incident_c(esk1_2(X1,X2),X2))).
% 3.47/0.81  cnf(i_0_3, plain, (incident_c(X3,X2)|~part_of(X1,X2)|~incident_c(X3,X1))).
% 3.47/0.81  cnf(i_0_7, plain, (incident_c(X1,X3)|X3!=sum(X4,X2)|~incident_c(X1,X2))).
% 3.47/0.81  cnf(i_0_8, plain, (incident_c(X1,X3)|X3!=sum(X2,X4)|~incident_c(X1,X2))).
% 3.47/0.81  cnf(i_0_39, plain, (end_point(esk11_2(X1,X2),X1)|~end_point(X2,X1))).
% 3.47/0.81  cnf(i_0_37, plain, (X3=X4|X1=X4|X1=X3|~end_point(X4,X2)|~end_point(X3,X2)|~end_point(X1,X2))).
% 3.47/0.81  cnf(i_0_9, plain, (incident_c(X1,X4)|incident_c(X1,X3)|X2!=sum(X3,X4)|~incident_c(X1,X2))).
% 3.47/0.81  cnf(i_0_13, plain, (end_point(X1,X2)|incident_c(X1,esk3_2(X1,X2))|~incident_c(X1,X2))).
% 3.47/0.81  cnf(i_0_12, plain, (end_point(X1,X2)|incident_c(X1,esk4_2(X1,X2))|~incident_c(X1,X2))).
% 3.47/0.81  cnf(i_0_15, plain, (end_point(X1,X2)|part_of(esk3_2(X1,X2),X2)|~incident_c(X1,X2))).
% 3.47/0.81  cnf(i_0_14, plain, (end_point(X1,X2)|part_of(esk4_2(X1,X2),X2)|~incident_c(X1,X2))).
% 3.47/0.81  cnf(i_0_1, plain, (part_of(X2,X1)|~incident_c(esk1_2(X1,X2),X1))).
% 3.47/0.81  cnf(i_0_42, plain, (X1=X2|incident_c(esk13_2(X1,X2),X2)|incident_c(esk13_2(X1,X2),X1))).
% 3.47/0.81  cnf(i_0_35, plain, (sum(esk9_2(X1,X2),esk10_2(X1,X2))=X1|~inner_point(X2,X1))).
% 3.47/0.81  cnf(i_0_26, plain, (incident_c(X1,X2)|~meet(X1,X3,X2))).
% 3.47/0.81  cnf(i_0_27, plain, (incident_c(X1,X2)|~meet(X1,X2,X3))).
% 3.47/0.81  cnf(i_0_41, plain, (esk12_2(X2,X3)=sum(X2,X3)|~meet(X1,X2,X3))).
% 3.47/0.81  cnf(i_0_43, plain, (X1=X2|~incident_c(esk13_2(X1,X2),X2)|~incident_c(esk13_2(X1,X2),X1))).
% 3.47/0.81  cnf(i_0_36, plain, (meet(X1,esk9_2(X2,X1),esk10_2(X2,X1))|~inner_point(X1,X2))).
% 3.47/0.81  cnf(i_0_11, plain, (end_point(X1,X2)|~incident_c(X1,X2)|~part_of(esk3_2(X1,X2),esk4_2(X1,X2)))).
% 3.47/0.81  cnf(i_0_10, plain, (end_point(X1,X2)|~incident_c(X1,X2)|~part_of(esk4_2(X1,X2),esk3_2(X1,X2)))).
% 3.47/0.81  cnf(i_0_16, plain, (part_of(X3,X1)|part_of(X1,X3)|~part_of(X3,X2)|~part_of(X1,X2)|~incident_c(X4,X3)|~incident_c(X4,X1)|~end_point(X4,X2))).
% 3.47/0.81  cnf(i_0_24, plain, (end_point(X1,X2)|~incident_c(X1,X3)|~incident_c(X1,X2)|~meet(X4,X3,X2))).
% 3.47/0.81  cnf(i_0_25, plain, (end_point(X1,X2)|~incident_c(X1,X3)|~incident_c(X1,X2)|~meet(X4,X2,X3))).
% 3.47/0.81  cnf(i_0_40, plain, (meet(X5,X3,X4)|X1!=sum(X3,X4)|~closed(X1)|~end_point(X5,X3)|~meet(X2,X3,X4))).
% 3.47/0.81  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))).
% 3.47/0.81  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))).
% 3.47/0.81  cnf(i_0_33, plain, (part_of(X4,X3)|part_of(X4,X1)|part_of(X3,X4)|part_of(X3,X1)|part_of(X1,X4)|part_of(X1,X3)|~part_of(X4,X2)|~part_of(X3,X2)|~part_of(X1,X2)|~end_point(X5,X4)|~end_point(X5,X3)|~end_point(X5,X1))).
% 3.47/0.81  cnf(i_0_4, plain, (X1=sum(X2,X3)|incident_c(esk2_3(X1,X2,X3),X3)|incident_c(esk2_3(X1,X2,X3),X2)|incident_c(esk2_3(X1,X2,X3),X1))).
% 3.47/0.81  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))).
% 3.47/0.81  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))).
% 3.47/0.81  cnf(i_0_21, plain, (meet(X1,X2,X3)|~incident_c(X1,X3)|~incident_c(X1,X2)|~end_point(esk5_3(X1,X2,X3),X3)|~end_point(esk5_3(X1,X2,X3),X2))).
% 3.47/0.81  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 3.47/0.81  # Begin printing tableau
% 3.47/0.81  # Found 12 steps
% 3.47/0.81  cnf(i_0_45, negated_conjecture, (meet(esk17_0,esk15_0,esk16_0)), inference(start_rule)).
% 3.47/0.81  cnf(i_0_49, plain, (meet(esk17_0,esk15_0,esk16_0)), inference(extension_rule, [i_0_40])).
% 3.47/0.81  cnf(i_0_150, plain, (meet(esk6_1(esk15_0),esk15_0,esk16_0)), inference(extension_rule, [i_0_26])).
% 3.47/0.81  cnf(i_0_390, plain, (incident_c(esk6_1(esk15_0),esk16_0)), inference(extension_rule, [i_0_18])).
% 3.47/0.81  cnf(i_0_151, plain, ($false), inference(extension_rule, [i_0_32])).
% 3.47/0.81  cnf(i_0_421, plain, (open(sum(esk15_0,esk16_0))), inference(closure_rule, [i_0_44])).
% 3.47/0.81  cnf(i_0_152, plain, (~closed(sum(esk15_0,esk16_0))), inference(etableau_closure_rule, [i_0_152, ...])).
% 3.47/0.81  cnf(i_0_422, plain, (~part_of(sum(esk15_0,esk16_0),sum(esk15_0,esk16_0))), inference(etableau_closure_rule, [i_0_422, ...])).
% 3.47/0.81  cnf(i_0_153, plain, (~end_point(esk6_1(esk15_0),esk15_0)), inference(extension_rule, [i_0_28])).
% 3.47/0.81  cnf(i_0_411, plain, (end_point(esk6_1(esk15_0),esk16_0)), inference(etableau_closure_rule, [i_0_411, ...])).
% 3.47/0.81  cnf(i_0_412, plain, (inner_point(esk6_1(esk15_0),esk16_0)), inference(etableau_closure_rule, [i_0_412, ...])).
% 3.47/0.81  cnf(i_0_532, plain, (closed(esk15_0)), inference(etableau_closure_rule, [i_0_532, ...])).
% 3.47/0.81  # End printing tableau
% 3.47/0.81  # SZS output end
% 3.47/0.81  # Branches closed with saturation will be marked with an "s"
% 3.47/0.81  # Child (2098) has found a proof.
% 3.47/0.81  
% 3.47/0.81  # Proof search is over...
% 3.47/0.81  # Freeing feature tree
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