TSTP Solution File: SYO674-1 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : SYO674-1 : TPTP v8.1.0. Released v7.3.0.
% 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 : Thu Jul 21 16:06:05 EDT 2022

% Result   : Unsatisfiable 1.63s 0.59s
% Output   : CNFRefutation 1.63s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SYO674-1 : TPTP v8.1.0. Released v7.3.0.
% 0.06/0.12  % 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 : n024.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 Jul  9 05:40:13 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___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.12/0.36  # and selection function SelectComplexExceptUniqMaxHorn.
% 0.12/0.36  #
% 0.12/0.36  # Presaturation interreduction done
% 0.12/0.36  # Number of axioms: 14 Number of unprocessed: 14
% 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  # 14 beginning clauses after preprocessing and clausification
% 0.12/0.36  # No conjectures after preprocessing.  Attempting to resurrect them from ax_archive.
% 0.12/0.36  # No conjectures.
% 0.12/0.36  # There are 14 start rule candidates:
% 0.12/0.36  # Found 2 unit axioms.
% 0.12/0.36  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.12/0.36  # 14 start rule tableaux created.
% 0.12/0.36  # 12 extension rule candidate clauses
% 0.12/0.36  # 2 unit axiom clauses
% 0.12/0.36  
% 0.12/0.36  # Requested 8, 32 cores available to the main process.
% 1.63/0.59  # There were 14 total branch saturation attempts.
% 1.63/0.59  # There were 0 of these attempts blocked.
% 1.63/0.59  # There were 0 deferred branch saturation attempts.
% 1.63/0.59  # There were 10 free duplicated saturations.
% 1.63/0.59  # There were 14 total successful branch saturations.
% 1.63/0.59  # There were 0 successful branch saturations in interreduction.
% 1.63/0.59  # There were 0 successful branch saturations on the branch.
% 1.63/0.59  # There were 4 successful branch saturations after the branch.
% 1.63/0.59  # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.63/0.59  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.63/0.59  # Begin clausification derivation
% 1.63/0.59  
% 1.63/0.59  # End clausification derivation
% 1.63/0.59  # Begin listing active clauses obtained from FOF to CNF conversion
% 1.63/0.59  cnf(i_0_21, plain, ('LE'(f(X1),s(s(s('0')))))).
% 1.63/0.59  cnf(i_0_22, plain, (~'LE'(f(z),'0'))).
% 1.63/0.59  cnf(i_0_18, plain, ('LE'(f(X1),'0')|'E'('0',f(X1))|~'LE'(f(X1),s('0')))).
% 1.63/0.59  cnf(i_0_17, plain, (iLEQ(suc(X1),suc(X1))|~'E'('0',f(suc(X1)))|~'E'('0',f(X1)))).
% 1.63/0.59  cnf(i_0_25, plain, ('LE'(f(X1),'0')|'E'('0',f(suc(X1)))|~'LE'(f(suc(X1)),s('0')))).
% 1.63/0.59  cnf(i_0_16, plain, ('LE'(f(X1),s('0'))|'E'(s('0'),f(X1))|~'LE'(f(X1),s(s('0'))))).
% 1.63/0.59  cnf(i_0_26, plain, ('LE'(f(X1),s('0'))|'E'(s('0'),f(suc(X1)))|~'LE'(f(suc(X1)),s(s('0'))))).
% 1.63/0.59  cnf(i_0_27, plain, (iLEQ(suc(X1),suc(X1))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(X1)))).
% 1.63/0.59  cnf(i_0_20, plain, (iLEQ(suc(X1),suc(X1))|~'E'(s(s('0')),f(suc(X1)))|~'E'(s(s('0')),f(X1)))).
% 1.63/0.59  cnf(i_0_19, plain, ('LE'(f(X1),s(s('0')))|'E'(s(s('0')),f(X1)))).
% 1.63/0.59  cnf(i_0_23, plain, ('LE'(f(X1),s(s('0')))|'E'(s(s('0')),f(suc(X1))))).
% 1.63/0.59  cnf(i_0_28, plain, (~iLEQ(suc(X1),suc(X2))|~iLEQ(suc(X3),suc(X1))|~iLEQ(suc(X2),suc(X4))|~iLEQ(suc(X5),suc(X3))|~iLEQ(suc(X6),suc(X5))|~'E'('0',f(suc(X4)))|~'E'('0',f(suc(X1)))|~'E'('0',f(suc(X3)))|~'E'('0',f(suc(X2)))|~'E'('0',f(suc(X5)))|~'E'('0',f(suc(X6)))|~'E'('0',f(X4))|~'E'('0',f(X1))|~'E'('0',f(X3))|~'E'('0',f(X2))|~'E'('0',f(X5))|~'E'('0',f(X6)))).
% 1.63/0.59  cnf(i_0_15, plain, (~iLEQ(suc(X1),suc(X2))|~iLEQ(suc(X2),suc(X3))|~iLEQ(suc(X4),suc(X5))|~iLEQ(suc(X3),suc(X4))|~iLEQ(suc(X5),suc(X6))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(suc(X2)))|~'E'(s('0'),f(suc(X4)))|~'E'(s('0'),f(suc(X3)))|~'E'(s('0'),f(suc(X5)))|~'E'(s('0'),f(suc(X6)))|~'E'(s('0'),f(X1))|~'E'(s('0'),f(X2))|~'E'(s('0'),f(X4))|~'E'(s('0'),f(X3))|~'E'(s('0'),f(X5))|~'E'(s('0'),f(X6)))).
% 1.63/0.59  cnf(i_0_24, plain, (~iLEQ(suc(X1),suc(X2))|~iLEQ(suc(X3),suc(X1))|~iLEQ(suc(X4),suc(X3))|~iLEQ(suc(X5),suc(X4))|~iLEQ(suc(X6),suc(X5))|~'E'(s(s('0')),f(suc(X1)))|~'E'(s(s('0')),f(suc(X3)))|~'E'(s(s('0')),f(suc(X4)))|~'E'(s(s('0')),f(suc(X5)))|~'E'(s(s('0')),f(suc(X2)))|~'E'(s(s('0')),f(suc(X6)))|~'E'(s(s('0')),f(X1))|~'E'(s(s('0')),f(X3))|~'E'(s(s('0')),f(X4))|~'E'(s(s('0')),f(X5))|~'E'(s(s('0')),f(X2))|~'E'(s(s('0')),f(X6)))).
% 1.63/0.59  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 1.63/0.59  # Begin printing tableau
% 1.63/0.59  # Found 22 steps
% 1.63/0.59  cnf(i_0_25, plain, ('LE'(f(z),'0')|'E'('0',f(suc(z)))|~'LE'(f(suc(z)),s('0'))), inference(start_rule)).
% 1.63/0.59  cnf(i_0_37, plain, ('LE'(f(z),'0')), inference(closure_rule, [i_0_22])).
% 1.63/0.59  cnf(i_0_38, plain, ('E'('0',f(suc(z)))), inference(extension_rule, [i_0_17])).
% 1.63/0.59  cnf(i_0_110, plain, (iLEQ(suc(z),suc(z))), inference(extension_rule, [i_0_15])).
% 1.63/0.59  cnf(i_0_153, plain, (~iLEQ(suc(z),suc(z))), inference(closure_rule, [i_0_110])).
% 1.63/0.59  cnf(i_0_154, plain, (~iLEQ(suc(z),suc(z))), inference(closure_rule, [i_0_110])).
% 1.63/0.59  cnf(i_0_155, plain, (~iLEQ(suc(z),suc(z))), inference(closure_rule, [i_0_110])).
% 1.63/0.59  cnf(i_0_156, plain, (~iLEQ(suc(z),suc(z))), inference(closure_rule, [i_0_110])).
% 1.63/0.59  cnf(i_0_39, plain, (~'LE'(f(suc(z)),s('0'))), inference(etableau_closure_rule, [i_0_39, ...])).
% 1.63/0.59  cnf(i_0_112, plain, (~'E'('0',f(z))), inference(etableau_closure_rule, [i_0_112, ...])).
% 1.63/0.59  cnf(i_0_157, plain, (~'E'(s('0'),f(suc(z)))), inference(etableau_closure_rule, [i_0_157, ...])).
% 1.63/0.59  cnf(i_0_158, plain, (~'E'(s('0'),f(suc(z)))), inference(etableau_closure_rule, [i_0_158, ...])).
% 1.63/0.59  cnf(i_0_159, plain, (~'E'(s('0'),f(suc(z)))), inference(etableau_closure_rule, [i_0_159, ...])).
% 1.63/0.59  cnf(i_0_160, plain, (~'E'(s('0'),f(suc(z)))), inference(etableau_closure_rule, [i_0_160, ...])).
% 1.63/0.59  cnf(i_0_161, plain, (~'E'(s('0'),f(suc(z)))), inference(etableau_closure_rule, [i_0_161, ...])).
% 1.63/0.59  cnf(i_0_162, plain, (~'E'(s('0'),f(suc(z)))), inference(etableau_closure_rule, [i_0_162, ...])).
% 1.63/0.59  cnf(i_0_163, plain, (~'E'(s('0'),f(z))), inference(etableau_closure_rule, [i_0_163, ...])).
% 1.63/0.59  cnf(i_0_164, plain, (~'E'(s('0'),f(z))), inference(etableau_closure_rule, [i_0_164, ...])).
% 1.63/0.59  cnf(i_0_165, plain, (~'E'(s('0'),f(z))), inference(etableau_closure_rule, [i_0_165, ...])).
% 1.63/0.59  cnf(i_0_166, plain, (~'E'(s('0'),f(z))), inference(etableau_closure_rule, [i_0_166, ...])).
% 1.63/0.59  cnf(i_0_167, plain, (~'E'(s('0'),f(z))), inference(etableau_closure_rule, [i_0_167, ...])).
% 1.63/0.59  cnf(i_0_168, plain, (~'E'(s('0'),f(z))), inference(etableau_closure_rule, [i_0_168, ...])).
% 1.63/0.59  # End printing tableau
% 1.63/0.59  # SZS output end
% 1.63/0.59  # Branches closed with saturation will be marked with an "s"
% 1.63/0.59  # Child (21313) has found a proof.
% 1.63/0.59  
% 1.63/0.59  # Proof search is over...
% 1.63/0.59  # Freeing feature tree
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