TSTP Solution File: COL043-3 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : COL043-3 : TPTP v8.1.0. Bugfixed v2.3.0.
% 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 : n024.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 : Fri Jul 15 00:24:40 EDT 2022

% Result   : Unsatisfiable 45.64s 6.18s
% Output   : CNFRefutation 45.64s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : COL043-3 : TPTP v8.1.0. Bugfixed v2.3.0.
% 0.11/0.12  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.33  % Computer : n024.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Tue May 31 10:45:36 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.13/0.36  # No SInE strategy applied
% 0.13/0.36  # Auto-Mode selected heuristic G_____Z1014__C12_02_nc_F1_AE_CS_SP_S2S
% 0.13/0.36  # and selection function SelectNewComplexAHP.
% 0.13/0.36  #
% 0.13/0.36  # Presaturation interreduction done
% 0.13/0.36  # Number of axioms: 4 Number of unprocessed: 4
% 0.13/0.36  # Tableaux proof search.
% 0.13/0.36  # APR header successfully linked.
% 0.13/0.36  # Hello from C++
% 0.13/0.36  # The folding up rule is enabled...
% 0.13/0.36  # Local unification is enabled...
% 0.13/0.36  # Any saturation attempts will use folding labels...
% 0.13/0.36  # 4 beginning clauses after preprocessing and clausification
% 0.13/0.36  # Creating start rules for all 1 conjectures.
% 0.13/0.36  # There are 1 start rule candidates:
% 0.13/0.36  # Found 4 unit axioms.
% 0.13/0.36  # 1 start rule tableaux created.
% 0.13/0.36  # 0 extension rule candidate clauses
% 0.13/0.36  # 4 unit axiom clauses
% 0.13/0.36  
% 0.13/0.36  # Requested 8, 32 cores available to the main process.
% 0.13/0.36  # There are not enough tableaux to fork, creating more from the initial 1
% 0.13/0.36  # Creating equality axioms
% 0.13/0.36  # Ran out of tableaux, making start rules for all clauses
% 0.13/0.36  # Returning from population with 8 new_tableaux and 0 remaining starting tableaux.
% 0.13/0.36  # We now have 8 tableaux to operate on
% 45.64/6.18  # There were 1 total branch saturation attempts.
% 45.64/6.18  # There were 0 of these attempts blocked.
% 45.64/6.18  # There were 0 deferred branch saturation attempts.
% 45.64/6.18  # There were 0 free duplicated saturations.
% 45.64/6.18  # There were 1 total successful branch saturations.
% 45.64/6.18  # There were 0 successful branch saturations in interreduction.
% 45.64/6.18  # There were 0 successful branch saturations on the branch.
% 45.64/6.18  # There were 1 successful branch saturations after the branch.
% 45.64/6.18  # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 45.64/6.18  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 45.64/6.18  # Begin clausification derivation
% 45.64/6.18  
% 45.64/6.18  # End clausification derivation
% 45.64/6.18  # Begin listing active clauses obtained from FOF to CNF conversion
% 45.64/6.18  cnf(i_0_5, plain, (apply(apply(apply(b,X1),X2),X3)=apply(X1,apply(X2,X3)))).
% 45.64/6.18  cnf(i_0_7, plain, (apply(apply(b,apply(apply(b,apply(apply(h,apply(apply(b,apply(apply(b,h),apply(b,b))),apply(h,apply(apply(b,h),apply(b,b))))),h)),b)),b)=strong_fixed_point)).
% 45.64/6.18  cnf(i_0_6, plain, (apply(apply(apply(h,X1),X2),X3)=apply(apply(apply(X1,X2),X3),X2))).
% 45.64/6.18  cnf(i_0_8, negated_conjecture, (apply(fixed_pt,apply(strong_fixed_point,fixed_pt))!=apply(strong_fixed_point,fixed_pt))).
% 45.64/6.18  cnf(i_0_10, plain, (X4=X4)).
% 45.64/6.18  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 45.64/6.18  # Begin printing tableau
% 45.64/6.18  # Found 8 steps
% 45.64/6.18  cnf(i_0_6, plain, (apply(apply(apply(h,b),X9),X8)=apply(apply(apply(b,X9),X8),X9)), inference(start_rule)).
% 45.64/6.18  cnf(i_0_17, plain, (apply(apply(apply(h,b),X9),X8)=apply(apply(apply(b,X9),X8),X9)), inference(extension_rule, [i_0_11])).
% 45.64/6.18  cnf(i_0_30, plain, (apply(apply(apply(b,X9),X8),X9)=apply(apply(apply(h,b),X9),X8)), inference(extension_rule, [i_0_13])).
% 45.64/6.18  cnf(i_0_69, plain, (apply(X9,apply(X8,X9))=apply(apply(apply(h,b),X9),X8)), inference(extension_rule, [i_0_14])).
% 45.64/6.18  cnf(i_0_74, plain, (apply(apply(apply(b,X9),apply(X9,apply(X8,X9))),X9)!=apply(X9,apply(apply(X9,apply(X8,X9)),X9))), inference(closure_rule, [i_0_5])).
% 45.64/6.18  cnf(i_0_70, plain, (apply(X9,apply(X8,X9))!=apply(apply(apply(b,X9),X8),X9)), inference(extension_rule, [i_0_11])).
% 45.64/6.18  cnf(i_0_76, plain, (apply(apply(apply(b,X9),X8),X9)!=apply(X9,apply(X8,X9))), inference(closure_rule, [i_0_5])).
% 45.64/6.18  cnf(i_0_72, plain, (apply(apply(X9,apply(X8,X9)),apply(apply(apply(b,X9),apply(X9,apply(X8,X9))),X9))=apply(apply(apply(apply(h,b),X9),X8),apply(X9,apply(apply(X9,apply(X8,X9)),X9)))), inference(etableau_closure_rule, [i_0_72, ...])).
% 45.64/6.18  # End printing tableau
% 45.64/6.18  # SZS output end
% 45.64/6.18  # Branches closed with saturation will be marked with an "s"
% 46.44/6.20  # There were 1 total branch saturation attempts.
% 46.44/6.20  # There were 0 of these attempts blocked.
% 46.44/6.20  # There were 0 deferred branch saturation attempts.
% 46.44/6.20  # There were 0 free duplicated saturations.
% 46.44/6.20  # There were 1 total successful branch saturations.
% 46.44/6.20  # There were 0 successful branch saturations in interreduction.
% 46.44/6.20  # There were 0 successful branch saturations on the branch.
% 46.44/6.20  # There were 1 successful branch saturations after the branch.
% 46.44/6.20  # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 46.44/6.20  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 46.44/6.20  # Begin clausification derivation
% 46.44/6.20  
% 46.44/6.20  # End clausification derivation
% 46.44/6.20  # Begin listing active clauses obtained from FOF to CNF conversion
% 46.44/6.20  cnf(i_0_5, plain, (apply(apply(apply(b,X1),X2),X3)=apply(X1,apply(X2,X3)))).
% 46.44/6.20  cnf(i_0_7, plain, (apply(apply(b,apply(apply(b,apply(apply(h,apply(apply(b,apply(apply(b,h),apply(b,b))),apply(h,apply(apply(b,h),apply(b,b))))),h)),b)),b)=strong_fixed_point)).
% 46.44/6.20  cnf(i_0_6, plain, (apply(apply(apply(h,X1),X2),X3)=apply(apply(apply(X1,X2),X3),X2))).
% 46.44/6.20  cnf(i_0_8, negated_conjecture, (apply(fixed_pt,apply(strong_fixed_point,fixed_pt))!=apply(strong_fixed_point,fixed_pt))).
% 46.44/6.20  cnf(i_0_10, plain, (X4=X4)).
% 46.44/6.20  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 46.44/6.20  # Begin printing tableau
% 46.44/6.20  # Found 6 steps
% 46.44/6.20  cnf(i_0_7, plain, (apply(apply(b,apply(apply(b,apply(apply(h,apply(apply(b,apply(apply(b,h),apply(b,b))),apply(h,apply(apply(b,h),apply(b,b))))),h)),b)),b)=strong_fixed_point), inference(start_rule)).
% 46.44/6.20  cnf(i_0_16, plain, (apply(apply(b,apply(apply(b,apply(apply(h,apply(apply(b,apply(apply(b,h),apply(b,b))),apply(h,apply(apply(b,h),apply(b,b))))),h)),b)),b)=strong_fixed_point), inference(extension_rule, [i_0_13])).
% 46.44/6.20  cnf(i_0_36, plain, (apply(apply(b,apply(apply(b,apply(apply(h,apply(apply(b,apply(apply(b,h),apply(b,b))),apply(h,apply(apply(b,h),apply(b,b))))),h)),b)),b)!=strong_fixed_point), inference(closure_rule, [i_0_7])).
% 46.44/6.20  cnf(i_0_34, plain, (apply(apply(b,apply(apply(b,apply(apply(h,apply(apply(b,apply(apply(b,h),apply(b,b))),apply(h,apply(apply(b,h),apply(b,b))))),h)),b)),b)=apply(apply(b,apply(apply(b,apply(apply(h,apply(apply(b,apply(apply(b,h),apply(b,b))),apply(h,apply(apply(b,h),apply(b,b))))),h)),b)),b)), inference(extension_rule, [i_0_14])).
% 46.44/6.20  cnf(i_0_43, plain, (apply(apply(b,apply(apply(b,apply(apply(h,apply(apply(b,apply(apply(b,h),apply(b,b))),apply(h,apply(apply(b,h),apply(b,b))))),h)),b)),b)!=strong_fixed_point), inference(closure_rule, [i_0_7])).
% 46.44/6.20  cnf(i_0_41, plain, (apply(apply(apply(b,apply(apply(b,apply(apply(h,apply(apply(b,apply(apply(b,h),apply(b,b))),apply(h,apply(apply(b,h),apply(b,b))))),h)),b)),b),apply(apply(b,apply(apply(b,apply(apply(h,apply(apply(b,apply(apply(b,h),apply(b,b))),apply(h,apply(apply(b,h),apply(b,b))))),h)),b)),b))=apply(apply(apply(b,apply(apply(b,apply(apply(h,apply(apply(b,apply(apply(b,h),apply(b,b))),apply(h,apply(apply(b,h),apply(b,b))))),h)),b)),b),strong_fixed_point)), inference(etableau_closure_rule, [i_0_41, ...])).
% 46.44/6.20  # End printing tableau
% 46.44/6.20  # SZS output end
% 46.44/6.20  # Branches closed with saturation will be marked with an "s"
% 46.44/6.20  # Child (9821) has found a proof.
% 46.44/6.20  
% 46.44/6.20  # Proof search is over...
% 46.44/6.20  # Freeing feature tree
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