TSTP Solution File: SYN014-2 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : SYN014-2 : TPTP v8.1.0. Released v1.0.0.
% 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 : 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 : Thu Jul 21 06:07:16 EDT 2022

% Result   : Unsatisfiable 0.13s 0.39s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SYN014-2 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13  % 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 : n028.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 : Mon Jul 11 23:33:44 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_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN
% 0.13/0.37  # and selection function PSelectComplexExceptUniqMaxHorn.
% 0.13/0.37  #
% 0.13/0.37  # Presaturation interreduction done
% 0.13/0.37  # Number of axioms: 26 Number of unprocessed: 26
% 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  # 26 beginning clauses after preprocessing and clausification
% 0.13/0.37  # Creating start rules for all 21 conjectures.
% 0.13/0.37  # There are 21 start rule candidates:
% 0.13/0.37  # Found 7 unit axioms.
% 0.13/0.37  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.13/0.37  # 21 start rule tableaux created.
% 0.13/0.37  # 19 extension rule candidate clauses
% 0.13/0.37  # 7 unit axiom clauses
% 0.13/0.37  
% 0.13/0.37  # Requested 8, 32 cores available to the main process.
% 0.13/0.39  # There were 4 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 4 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 4 successful branch saturations after the branch.
% 0.13/0.39  # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.39  # SZS output start for /export/starexec/sandbox/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_52, negated_conjecture, (equalish(m,k))).
% 0.13/0.39  cnf(i_0_49, negated_conjecture, (equalish(n,k))).
% 0.13/0.39  cnf(i_0_27, plain, (equalish(X1,X1))).
% 0.13/0.39  cnf(i_0_51, negated_conjecture, (~equalish(k,a))).
% 0.13/0.39  cnf(i_0_50, negated_conjecture, (~equalish(m,a))).
% 0.13/0.39  cnf(i_0_48, negated_conjecture, (~equalish(m,n))).
% 0.13/0.39  cnf(i_0_47, negated_conjecture, (~equalish(n,a))).
% 0.13/0.39  cnf(i_0_28, plain, (equalish(X1,X2)|~equalish(X2,X1))).
% 0.13/0.39  cnf(i_0_35, negated_conjecture, (equalish(X1,m)|~element(X1,m)|~equalish(f(X1),X1))).
% 0.13/0.39  cnf(i_0_34, negated_conjecture, (equalish(X1,m)|~element(X1,m)|~equalish(f(X1),m))).
% 0.13/0.39  cnf(i_0_29, plain, (equalish(X1,X2)|~equalish(X3,X2)|~equalish(X1,X3))).
% 0.13/0.39  cnf(i_0_32, negated_conjecture, (equalish(X1,k)|equalish(X1,a)|~element(X1,a))).
% 0.13/0.39  cnf(i_0_39, negated_conjecture, (element(X1,n)|equalish(X1,n)|~equalish(g(X1),n))).
% 0.13/0.39  cnf(i_0_33, negated_conjecture, (element(X1,a)|equalish(X1,a)|~equalish(X1,k))).
% 0.13/0.39  cnf(i_0_44, negated_conjecture, (element(X1,k)|equalish(X1,k)|~equalish(X1,m))).
% 0.13/0.39  cnf(i_0_45, negated_conjecture, (element(X1,k)|equalish(X1,k)|~equalish(X1,n))).
% 0.13/0.39  cnf(i_0_41, negated_conjecture, (element(X1,g(X1))|element(X1,n)|equalish(X1,n))).
% 0.13/0.39  cnf(i_0_42, negated_conjecture, (element(g(X1),X1)|element(X1,n)|equalish(X1,n))).
% 0.13/0.39  cnf(i_0_31, plain, (element(X1,X2)|~element(X3,X2)|~equalish(X3,X1))).
% 0.13/0.39  cnf(i_0_30, plain, (element(X1,X2)|~element(X1,X3)|~equalish(X3,X2))).
% 0.13/0.39  cnf(i_0_40, negated_conjecture, (element(X1,n)|equalish(X1,n)|~equalish(g(X1),X1))).
% 0.13/0.39  cnf(i_0_36, negated_conjecture, (element(X1,f(X1))|equalish(X1,m)|~element(X1,m))).
% 0.13/0.39  cnf(i_0_37, negated_conjecture, (element(f(X1),X1)|equalish(X1,m)|~element(X1,m))).
% 0.13/0.39  cnf(i_0_46, negated_conjecture, (equalish(X1,n)|equalish(X1,m)|equalish(X1,k)|~element(X1,k))).
% 0.13/0.39  cnf(i_0_43, negated_conjecture, (equalish(X1,n)|equalish(X2,n)|equalish(X1,X2)|~element(X2,n)|~element(X2,X1)|~element(X1,X2))).
% 0.13/0.39  cnf(i_0_38, negated_conjecture, (element(X1,m)|equalish(X1,m)|equalish(X2,X1)|~element(X1,X2)|~element(X2,X1))).
% 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 13 steps
% 0.13/0.39  cnf(i_0_42, negated_conjecture, (element(g(m),m)|element(m,n)|equalish(m,n)), inference(start_rule)).
% 0.13/0.39  cnf(i_0_79, plain, (equalish(m,n)), inference(closure_rule, [i_0_48])).
% 0.13/0.39  cnf(i_0_77, plain, (element(g(m),m)), inference(extension_rule, [i_0_31])).
% 0.13/0.39  cnf(i_0_115, plain, (element(m,m)), inference(extension_rule, [i_0_30])).
% 0.13/0.39  cnf(i_0_78, plain, (element(m,n)), inference(etableau_closure_rule, [i_0_78, ...])).
% 0.13/0.39  cnf(i_0_123, plain, (element(m,n)), inference(extension_rule, [i_0_43])).
% 0.13/0.39  cnf(i_0_149, plain, (equalish(m,n)), inference(closure_rule, [i_0_48])).
% 0.13/0.39  cnf(i_0_150, plain, (equalish(m,n)), inference(closure_rule, [i_0_48])).
% 0.13/0.39  cnf(i_0_153, plain, (~element(m,m)), inference(closure_rule, [i_0_115])).
% 0.13/0.39  cnf(i_0_154, plain, (~element(m,m)), inference(closure_rule, [i_0_115])).
% 0.13/0.39  cnf(i_0_117, plain, (~equalish(g(m),m)), inference(etableau_closure_rule, [i_0_117, ...])).
% 0.13/0.39  cnf(i_0_125, plain, (~equalish(m,n)), inference(etableau_closure_rule, [i_0_125, ...])).
% 0.13/0.39  cnf(i_0_151, plain, (equalish(m,m)), inference(etableau_closure_rule, [i_0_151, ...])).
% 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 (17274) has found a proof.
% 0.13/0.39  
% 0.13/0.39  # Proof search is over...
% 0.13/0.39  # Freeing feature tree
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