TSTP Solution File: SET689+4 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : SET689+4 : 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 : n029.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 01:02:02 EDT 2022

% Result   : Theorem 0.12s 0.36s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12  % Problem  : SET689+4 : TPTP v8.1.0. Released v2.2.0.
% 0.02/0.13  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.12/0.32  % Computer : n029.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Sat Jul  9 23:38:46 EDT 2022
% 0.12/0.32  % CPUTime  : 
% 0.12/0.36  # No SInE strategy applied
% 0.12/0.36  # Auto-Mode selected heuristic G_E___107_C36_F1_PI_AE_Q4_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: 33 Number of unprocessed: 33
% 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  # 33 beginning clauses after preprocessing and clausification
% 0.12/0.36  # Creating start rules for all 4 conjectures.
% 0.12/0.36  # There are 4 start rule candidates:
% 0.12/0.36  # Found 8 unit axioms.
% 0.12/0.36  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.12/0.36  # 4 start rule tableaux created.
% 0.12/0.36  # 25 extension rule candidate clauses
% 0.12/0.36  # 8 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 4
% 0.12/0.36  # Returning from population with 10 new_tableaux and 0 remaining starting tableaux.
% 0.12/0.36  # We now have 10 tableaux to operate on
% 0.12/0.36  # There were 2 total branch saturation attempts.
% 0.12/0.36  # There were 0 of these attempts blocked.
% 0.12/0.36  # There were 0 deferred branch saturation attempts.
% 0.12/0.36  # There were 0 free duplicated saturations.
% 0.12/0.36  # There were 2 total successful branch saturations.
% 0.12/0.36  # There were 0 successful branch saturations in interreduction.
% 0.12/0.36  # There were 0 successful branch saturations on the branch.
% 0.12/0.36  # There were 2 successful branch saturations after the branch.
% 0.12/0.36  # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.36  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.36  # Begin clausification derivation
% 0.12/0.36  
% 0.12/0.36  # End clausification derivation
% 0.12/0.36  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.12/0.36  cnf(i_0_33, negated_conjecture, (subset(esk4_0,esk5_0))).
% 0.12/0.36  cnf(i_0_32, negated_conjecture, (subset(esk5_0,esk6_0))).
% 0.12/0.36  cnf(i_0_31, negated_conjecture, (subset(esk6_0,esk4_0))).
% 0.12/0.36  cnf(i_0_19, plain, (member(X1,singleton(X1)))).
% 0.12/0.36  cnf(i_0_21, plain, (member(X1,unordered_pair(X2,X1)))).
% 0.12/0.36  cnf(i_0_22, plain, (member(X1,unordered_pair(X1,X2)))).
% 0.12/0.36  cnf(i_0_30, negated_conjecture, (~equal_set(esk4_0,esk6_0))).
% 0.12/0.36  cnf(i_0_15, plain, (~member(X1,empty_set))).
% 0.12/0.36  cnf(i_0_5, plain, (subset(X1,X2)|~equal_set(X2,X1))).
% 0.12/0.36  cnf(i_0_6, plain, (subset(X1,X2)|~equal_set(X1,X2))).
% 0.12/0.36  cnf(i_0_4, plain, (equal_set(X1,X2)|~subset(X2,X1)|~subset(X1,X2))).
% 0.12/0.36  cnf(i_0_7, plain, (member(X1,power_set(X2))|~subset(X1,X2))).
% 0.12/0.36  cnf(i_0_8, plain, (subset(X1,X2)|~member(X1,power_set(X2)))).
% 0.12/0.37  cnf(i_0_20, plain, (X1=X2|~member(X1,singleton(X2)))).
% 0.12/0.37  cnf(i_0_2, plain, (member(esk1_2(X1,X2),X1)|subset(X1,X2))).
% 0.12/0.37  cnf(i_0_1, plain, (subset(X1,X2)|~member(esk1_2(X1,X2),X2))).
% 0.12/0.37  cnf(i_0_12, plain, (member(X1,union(X2,X3))|~member(X1,X3))).
% 0.12/0.37  cnf(i_0_3, plain, (member(X1,X2)|~member(X1,X3)|~subset(X3,X2))).
% 0.12/0.37  cnf(i_0_23, plain, (X1=X2|X1=X3|~member(X1,unordered_pair(X2,X3)))).
% 0.12/0.37  cnf(i_0_13, plain, (member(X1,union(X2,X3))|~member(X1,X2))).
% 0.12/0.37  cnf(i_0_10, plain, (member(X1,X2)|~member(X1,intersection(X3,X2)))).
% 0.12/0.37  cnf(i_0_11, plain, (member(X1,X2)|~member(X1,intersection(X2,X3)))).
% 0.12/0.37  cnf(i_0_18, plain, (member(X1,X2)|~member(X1,difference(X2,X3)))).
% 0.12/0.37  cnf(i_0_28, plain, (member(esk3_2(X1,X2),X2)|member(X1,product(X2)))).
% 0.12/0.37  cnf(i_0_25, plain, (member(X1,esk2_2(X1,X2))|~member(X1,sum(X2)))).
% 0.12/0.37  cnf(i_0_17, plain, (~member(X1,difference(X2,X3))|~member(X1,X3))).
% 0.12/0.37  cnf(i_0_24, plain, (member(X1,sum(X2))|~member(X1,X3)|~member(X3,X2))).
% 0.12/0.37  cnf(i_0_26, plain, (member(esk2_2(X1,X2),X2)|~member(X1,sum(X2)))).
% 0.12/0.37  cnf(i_0_27, plain, (member(X1,product(X2))|~member(X1,esk3_2(X1,X2)))).
% 0.12/0.37  cnf(i_0_16, plain, (member(X1,difference(X2,X3))|member(X1,X3)|~member(X1,X2))).
% 0.12/0.37  cnf(i_0_9, plain, (member(X1,intersection(X2,X3))|~member(X1,X3)|~member(X1,X2))).
% 0.12/0.37  cnf(i_0_14, plain, (member(X1,X2)|member(X1,X3)|~member(X1,union(X2,X3)))).
% 0.12/0.37  cnf(i_0_29, plain, (member(X1,X2)|~member(X1,product(X3))|~member(X2,X3))).
% 0.12/0.37  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.12/0.37  # Begin printing tableau
% 0.12/0.37  # Found 7 steps
% 0.12/0.37  cnf(i_0_32, negated_conjecture, (subset(esk5_0,esk6_0)), inference(start_rule)).
% 0.12/0.37  cnf(i_0_39, plain, (subset(esk5_0,esk6_0)), inference(extension_rule, [i_0_3])).
% 0.12/0.37  cnf(i_0_176, plain, (member(esk1_2(esk4_0,esk6_0),esk6_0)), inference(extension_rule, [i_0_1])).
% 0.12/0.37  cnf(i_0_230, plain, (subset(esk4_0,esk6_0)), inference(extension_rule, [i_0_4])).
% 0.12/0.37  cnf(i_0_238, plain, (~subset(esk6_0,esk4_0)), inference(closure_rule, [i_0_31])).
% 0.12/0.37  cnf(i_0_177, plain, (~member(esk1_2(esk4_0,esk6_0),esk5_0)), inference(etableau_closure_rule, [i_0_177, ...])).
% 0.12/0.37  cnf(i_0_236, plain, (equal_set(esk6_0,esk4_0)), inference(etableau_closure_rule, [i_0_236, ...])).
% 0.12/0.37  # End printing tableau
% 0.12/0.37  # SZS output end
% 0.12/0.37  # Branches closed with saturation will be marked with an "s"
% 0.12/0.37  # Child (25893) has found a proof.
% 0.12/0.37  
% 0.12/0.37  # Proof search is over...
% 0.12/0.37  # Freeing feature tree
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