TSTP Solution File: SET582+3 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : SET582+3 : TPTP v8.1.0. Released v2.2.0.
% 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 : Tue Jul 19 01:00:58 EDT 2022

% Result   : Theorem 22.42s 3.19s
% Output   : CNFRefutation 22.42s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SET582+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12  % 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 : Mon Jul 11 08:31:13 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___300_C18_F1_SE_CS_SP_PS_S0Y
% 0.12/0.36  # and selection function SelectMaxLComplexAvoidPosPred.
% 0.12/0.36  #
% 0.12/0.36  # Presaturation interreduction done
% 0.12/0.36  # Number of axioms: 24 Number of unprocessed: 21
% 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  # 21 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 3 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  # 18 extension rule candidate clauses
% 0.12/0.36  # 3 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 14 new_tableaux and 0 remaining starting tableaux.
% 0.12/0.36  # We now have 14 tableaux to operate on
% 7.70/1.36  # Creating equality axioms
% 7.70/1.36  # Ran out of tableaux, making start rules for all clauses
% 7.99/1.40  # Creating equality axioms
% 7.99/1.40  # Ran out of tableaux, making start rules for all clauses
% 22.42/3.19  # There were 10 total branch saturation attempts.
% 22.42/3.19  # There were 0 of these attempts blocked.
% 22.42/3.19  # There were 0 deferred branch saturation attempts.
% 22.42/3.19  # There were 0 free duplicated saturations.
% 22.42/3.19  # There were 7 total successful branch saturations.
% 22.42/3.19  # There were 2 successful branch saturations in interreduction.
% 22.42/3.19  # There were 0 successful branch saturations on the branch.
% 22.42/3.19  # There were 5 successful branch saturations after the branch.
% 22.42/3.19  # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 22.42/3.19  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 22.42/3.19  # Begin clausification derivation
% 22.42/3.19  
% 22.42/3.19  # End clausification derivation
% 22.42/3.19  # Begin listing active clauses obtained from FOF to CNF conversion
% 22.42/3.19  cnf(i_0_22, plain, (subset(X1,X1))).
% 22.42/3.19  cnf(i_0_13, plain, (union(X1,X2)=union(X2,X1))).
% 22.42/3.19  cnf(i_0_23, negated_conjecture, (union(difference(esk5_0,esk6_0),difference(esk6_0,esk5_0))!=esk4_0)).
% 22.42/3.19  cnf(i_0_20, plain, (subset(X1,X2)|member(esk3_2(X1,X2),X1))).
% 22.42/3.19  cnf(i_0_3, plain, (member(X1,union(X2,X3))|~member(X1,X3))).
% 22.42/3.19  cnf(i_0_4, plain, (member(X1,union(X2,X3))|~member(X1,X2))).
% 22.42/3.19  cnf(i_0_26, negated_conjecture, (member(X1,esk5_0)|member(X1,esk4_0)|~member(X1,esk6_0))).
% 22.42/3.19  cnf(i_0_27, negated_conjecture, (member(X1,esk6_0)|member(X1,esk4_0)|~member(X1,esk5_0))).
% 22.42/3.19  cnf(i_0_25, negated_conjecture, (~member(X1,esk4_0)|~member(X1,esk5_0)|~member(X1,esk6_0))).
% 22.42/3.19  cnf(i_0_7, plain, (~member(X1,difference(X2,X3))|~member(X1,X3))).
% 22.42/3.19  cnf(i_0_8, plain, (member(X1,X2)|~member(X1,difference(X2,X3)))).
% 22.42/3.19  cnf(i_0_24, negated_conjecture, (member(X1,esk6_0)|member(X1,esk5_0)|~member(X1,esk4_0))).
% 22.42/3.19  cnf(i_0_6, plain, (member(X1,difference(X2,X3))|member(X1,X3)|~member(X1,X2))).
% 22.42/3.19  cnf(i_0_5, plain, (member(X1,X2)|member(X1,X3)|~member(X1,union(X2,X3)))).
% 22.42/3.19  cnf(i_0_10, plain, (X1=X2|~subset(X2,X1)|~subset(X1,X2))).
% 22.42/3.19  cnf(i_0_1, plain, (X1=X2|member(esk1_2(X1,X2),X1)|member(esk1_2(X1,X2),X2))).
% 22.42/3.19  cnf(i_0_15, plain, (X1=X2|member(esk2_2(X1,X2),X1)|member(esk2_2(X1,X2),X2))).
% 22.42/3.19  cnf(i_0_19, plain, (subset(X1,X2)|~member(esk3_2(X1,X2),X2))).
% 22.42/3.19  cnf(i_0_21, plain, (member(X1,X2)|~subset(X3,X2)|~member(X1,X3))).
% 22.42/3.19  cnf(i_0_2, plain, (X1=X2|~member(esk1_2(X1,X2),X2)|~member(esk1_2(X1,X2),X1))).
% 22.42/3.19  cnf(i_0_16, plain, (X1=X2|~member(esk2_2(X1,X2),X2)|~member(esk2_2(X1,X2),X1))).
% 22.42/3.19  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 22.42/3.19  # Begin printing tableau
% 22.42/3.19  # Found 29 steps
% 22.42/3.19  cnf(i_0_24, negated_conjecture, (member(esk2_2(union(difference(esk5_0,esk6_0),difference(esk6_0,esk5_0)),esk4_0),esk6_0)|member(esk2_2(union(difference(esk5_0,esk6_0),difference(esk6_0,esk5_0)),esk4_0),esk5_0)|~member(esk2_2(union(difference(esk5_0,esk6_0),difference(esk6_0,esk5_0)),esk4_0),esk4_0)), inference(start_rule)).
% 22.42/3.19  cnf(i_0_30, plain, (member(esk2_2(union(difference(esk5_0,esk6_0),difference(esk6_0,esk5_0)),esk4_0),esk6_0)), inference(extension_rule, [i_0_6])).
% 22.42/3.19  cnf(i_0_54, plain, (member(esk2_2(union(difference(esk5_0,esk6_0),difference(esk6_0,esk5_0)),esk4_0),esk4_0)), inference(extension_rule, [i_0_16])).
% 22.42/3.19  cnf(i_0_4009, plain, (union(difference(esk5_0,esk6_0),difference(esk6_0,esk5_0))=esk4_0), inference(closure_rule, [i_0_23])).
% 22.42/3.19  cnf(i_0_4011, plain, (~member(esk2_2(union(difference(esk5_0,esk6_0),difference(esk6_0,esk5_0)),esk4_0),union(difference(esk5_0,esk6_0),difference(esk6_0,esk5_0)))), inference(extension_rule, [i_0_8])).
% 22.42/3.19  cnf(i_0_53, plain, (member(esk2_2(union(difference(esk5_0,esk6_0),difference(esk6_0,esk5_0)),esk4_0),difference(esk6_0,esk4_0))), inference(extension_rule, [i_0_7])).
% 22.42/3.19  cnf(i_0_103070, plain, (~member(esk2_2(union(difference(esk5_0,esk6_0),difference(esk6_0,esk5_0)),esk4_0),difference(X10,difference(esk6_0,esk4_0)))), inference(extension_rule, [i_0_6])).
% 22.42/3.19  cnf(i_0_103093, plain, (~member(esk2_2(union(difference(esk5_0,esk6_0),difference(esk6_0,esk5_0)),esk4_0),difference(esk6_0,esk4_0))), inference(closure_rule, [i_0_53])).
% 22.42/3.19  cnf(i_0_31, plain, (member(esk2_2(union(difference(esk5_0,esk6_0),difference(esk6_0,esk5_0)),esk4_0),esk5_0)), inference(extension_rule, [i_0_21])).
% 22.42/3.19  cnf(i_0_103113, plain, (member(esk2_2(union(difference(esk5_0,esk6_0),difference(esk6_0,esk5_0)),esk4_0),esk5_0)), inference(extension_rule, [i_0_25])).
% 22.42/3.19  cnf(i_0_190827, plain, (~member(esk2_2(union(difference(esk5_0,esk6_0),difference(esk6_0,esk5_0)),esk4_0),esk4_0)), inference(extension_rule, [i_0_15])).
% 22.42/3.19  cnf(i_0_190833, plain, (union(difference(esk5_0,esk6_0),difference(esk6_0,esk5_0))=esk4_0), inference(closure_rule, [i_0_23])).
% 22.42/3.19  cnf(i_0_190829, plain, (~member(esk2_2(union(difference(esk5_0,esk6_0),difference(esk6_0,esk5_0)),esk4_0),esk6_0)), inference(extension_rule, [i_0_5])).
% 22.42/3.19  cnf(i_0_190850, plain, (member(esk2_2(union(difference(esk5_0,esk6_0),difference(esk6_0,esk5_0)),esk4_0),esk6_0)), inference(closure_rule, [i_0_190829])).
% 22.42/3.19  cnf(i_0_103114, plain, (~subset(esk5_0,esk5_0)), inference(extension_rule, [i_0_19])).
% 22.42/3.19  cnf(i_0_190862, plain, (~member(esk3_2(esk5_0,esk5_0),esk5_0)), inference(extension_rule, [i_0_26])).
% 22.42/3.19  cnf(i_0_32, plain, (~member(esk2_2(union(difference(esk5_0,esk6_0),difference(esk6_0,esk5_0)),esk4_0),esk4_0)), inference(extension_rule, [i_0_8])).
% 22.42/3.19  cnf(i_0_103054, plain, (~member(esk2_2(union(difference(esk5_0,esk6_0),difference(esk6_0,esk5_0)),esk4_0),difference(union(difference(esk5_0,esk6_0),difference(esk6_0,esk5_0)),difference(esk4_0,X9)))), inference(etableau_closure_rule, [i_0_103054, ...])).
% 22.42/3.19  cnf(i_0_103091, plain, (member(esk2_2(union(difference(esk5_0,esk6_0),difference(esk6_0,esk5_0)),esk4_0),difference(difference(esk6_0,esk4_0),difference(X10,difference(esk6_0,esk4_0))))), inference(etableau_closure_rule, [i_0_103091, ...])).
% 22.42/3.19  cnf(i_0_190834, plain, (member(esk2_2(union(difference(esk5_0,esk6_0),difference(esk6_0,esk5_0)),esk4_0),union(difference(esk5_0,esk6_0),difference(esk6_0,esk5_0)))), inference(etableau_closure_rule, [i_0_190834, ...])).
% 22.42/3.19  cnf(i_0_190851, plain, (~member(esk2_2(union(difference(esk5_0,esk6_0),difference(esk6_0,esk5_0)),esk4_0),union(esk6_0,esk6_0))), inference(etableau_closure_rule, [i_0_190851, ...])).
% 22.42/3.19  cnf(i_0_190867, plain, (member(esk3_2(esk5_0,esk5_0),esk4_0)), inference(etableau_closure_rule, [i_0_190867, ...])).
% 22.42/3.19  cnf(i_0_190868, plain, (~member(esk3_2(esk5_0,esk5_0),esk6_0)), inference(etableau_closure_rule, [i_0_190868, ...])).
% 22.42/3.19  cnf(i_0_190894, plain, (~member(esk2_2(union(difference(esk5_0,esk6_0),difference(esk6_0,esk5_0)),esk4_0),difference(esk4_0,X9))), inference(extension_rule, [i_0_6])).
% 22.42/3.19  cnf(i_0_320568, plain, (member(esk2_2(union(difference(esk5_0,esk6_0),difference(esk6_0,esk5_0)),esk4_0),difference(union(difference(esk5_0,esk6_0),difference(esk6_0,esk5_0)),difference(esk4_0,X9)))), inference(extension_rule, [i_0_3])).
% 22.42/3.19  cnf(i_0_320570, plain, (~member(esk2_2(union(difference(esk5_0,esk6_0),difference(esk6_0,esk5_0)),esk4_0),union(difference(esk5_0,esk6_0),difference(esk6_0,esk5_0)))), inference(extension_rule, [i_0_15])).
% 22.42/3.19  cnf(i_0_320627, plain, (union(difference(esk5_0,esk6_0),difference(esk6_0,esk5_0))=esk4_0), inference(closure_rule, [i_0_23])).
% 22.42/3.19  cnf(i_0_320629, plain, (member(esk2_2(union(difference(esk5_0,esk6_0),difference(esk6_0,esk5_0)),esk4_0),esk4_0)), inference(closure_rule, [i_0_32])).
% 22.42/3.19  cnf(i_0_320579, plain, (member(esk2_2(union(difference(esk5_0,esk6_0),difference(esk6_0,esk5_0)),esk4_0),union(X6,difference(union(difference(esk5_0,esk6_0),difference(esk6_0,esk5_0)),difference(esk4_0,X9))))), inference(etableau_closure_rule, [i_0_320579, ...])).
% 22.42/3.19  # End printing tableau
% 22.42/3.19  # SZS output end
% 22.42/3.19  # Branches closed with saturation will be marked with an "s"
% 22.42/3.20  # Child (5411) has found a proof.
% 22.42/3.20  
% 22.42/3.20  # Proof search is over...
% 22.42/3.20  # Freeing feature tree
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