TSTP Solution File: KLE039+2 by Etableau---0.67

View Problem - Process Solution

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% File     : Etableau---0.67
% Problem  : KLE039+2 : TPTP v8.1.0. Released v4.0.0.
% 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 : n014.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 : Sun Jul 17 01:56:46 EDT 2022

% Result   : Theorem 5.46s 1.11s
% Output   : CNFRefutation 5.46s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : KLE039+2 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.14  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.35  % Computer : n014.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Thu Jun 16 09:28:20 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.21/0.38  # No SInE strategy applied
% 0.21/0.38  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI
% 0.21/0.38  # and selection function SelectComplexExceptUniqMaxHorn.
% 0.21/0.38  #
% 0.21/0.38  # Presaturation interreduction done
% 0.21/0.38  # Number of axioms: 18 Number of unprocessed: 18
% 0.21/0.38  # Tableaux proof search.
% 0.21/0.38  # APR header successfully linked.
% 0.21/0.38  # Hello from C++
% 0.21/0.38  # The folding up rule is enabled...
% 0.21/0.38  # Local unification is enabled...
% 0.21/0.38  # Any saturation attempts will use folding labels...
% 0.21/0.38  # 18 beginning clauses after preprocessing and clausification
% 0.21/0.38  # Creating start rules for all 1 conjectures.
% 0.21/0.38  # There are 1 start rule candidates:
% 0.21/0.38  # Found 13 unit axioms.
% 0.21/0.38  # 1 start rule tableaux created.
% 0.21/0.38  # 5 extension rule candidate clauses
% 0.21/0.38  # 13 unit axiom clauses
% 0.21/0.38  
% 0.21/0.38  # Requested 8, 32 cores available to the main process.
% 0.21/0.38  # There are not enough tableaux to fork, creating more from the initial 1
% 0.21/0.38  # Creating equality axioms
% 0.21/0.38  # Ran out of tableaux, making start rules for all clauses
% 0.21/0.38  # Returning from population with 27 new_tableaux and 0 remaining starting tableaux.
% 0.21/0.38  # We now have 27 tableaux to operate on
% 5.46/1.11  # There were 1 total branch saturation attempts.
% 5.46/1.11  # There were 0 of these attempts blocked.
% 5.46/1.11  # There were 0 deferred branch saturation attempts.
% 5.46/1.11  # There were 0 free duplicated saturations.
% 5.46/1.11  # There were 1 total successful branch saturations.
% 5.46/1.11  # There were 0 successful branch saturations in interreduction.
% 5.46/1.11  # There were 0 successful branch saturations on the branch.
% 5.46/1.11  # There were 1 successful branch saturations after the branch.
% 5.46/1.11  # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.46/1.11  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.46/1.11  # Begin clausification derivation
% 5.46/1.11  
% 5.46/1.11  # End clausification derivation
% 5.46/1.11  # Begin listing active clauses obtained from FOF to CNF conversion
% 5.46/1.11  cnf(i_0_10, plain, (multiplication(X1,zero)=zero)).
% 5.46/1.11  cnf(i_0_11, plain, (multiplication(zero,X1)=zero)).
% 5.46/1.11  cnf(i_0_3, plain, (addition(X1,zero)=X1)).
% 5.46/1.11  cnf(i_0_6, plain, (multiplication(X1,one)=X1)).
% 5.46/1.11  cnf(i_0_7, plain, (multiplication(one,X1)=X1)).
% 5.46/1.11  cnf(i_0_4, plain, (addition(X1,X1)=X1)).
% 5.46/1.11  cnf(i_0_14, plain, (leq(addition(one,multiplication(X1,star(X1))),star(X1)))).
% 5.46/1.11  cnf(i_0_15, plain, (leq(addition(one,multiplication(star(X1),X1)),star(X1)))).
% 5.46/1.11  cnf(i_0_2, plain, (addition(addition(X1,X2),X3)=addition(X1,addition(X2,X3)))).
% 5.46/1.11  cnf(i_0_5, plain, (multiplication(multiplication(X1,X2),X3)=multiplication(X1,multiplication(X2,X3)))).
% 5.46/1.11  cnf(i_0_8, plain, (addition(multiplication(X1,X2),multiplication(X1,X3))=multiplication(X1,addition(X2,X3)))).
% 5.46/1.11  cnf(i_0_9, plain, (addition(multiplication(X1,X2),multiplication(X3,X2))=multiplication(addition(X1,X3),X2))).
% 5.46/1.11  cnf(i_0_1, plain, (addition(X1,X2)=addition(X2,X1))).
% 5.46/1.11  cnf(i_0_18, negated_conjecture, (~leq(star(esk1_0),star(star(esk1_0)))|~leq(star(star(esk1_0)),star(esk1_0)))).
% 5.46/1.11  cnf(i_0_13, plain, (addition(X1,X2)=X2|~leq(X1,X2))).
% 5.46/1.11  cnf(i_0_12, plain, (leq(X1,X2)|addition(X1,X2)!=X2)).
% 5.46/1.11  cnf(i_0_17, plain, (leq(multiplication(X1,star(X2)),X3)|~leq(addition(multiplication(X3,X2),X1),X3))).
% 5.46/1.11  cnf(i_0_16, plain, (leq(multiplication(star(X1),X2),X3)|~leq(addition(multiplication(X1,X3),X2),X3))).
% 5.46/1.11  cnf(i_0_91, plain, (X36=X36)).
% 5.46/1.11  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 5.46/1.11  # Begin printing tableau
% 5.46/1.11  # Found 6 steps
% 5.46/1.11  cnf(i_0_10, plain, (multiplication(X6,zero)=zero), inference(start_rule)).
% 5.46/1.11  cnf(i_0_99, plain, (multiplication(X6,zero)=zero), inference(extension_rule, [i_0_95])).
% 5.46/1.11  cnf(i_0_142, plain, (multiplication(zero,zero)!=zero), inference(closure_rule, [i_0_10])).
% 5.46/1.11  cnf(i_0_140, plain, (addition(multiplication(X6,zero),multiplication(zero,zero))=addition(zero,zero)), inference(extension_rule, [i_0_94])).
% 5.46/1.11  cnf(i_0_168, plain, (addition(zero,zero)!=zero), inference(closure_rule, [i_0_3])).
% 5.46/1.11  cnf(i_0_166, plain, (addition(multiplication(X6,zero),multiplication(zero,zero))=zero), inference(etableau_closure_rule, [i_0_166, ...])).
% 5.46/1.11  # End printing tableau
% 5.46/1.11  # SZS output end
% 5.46/1.11  # Branches closed with saturation will be marked with an "s"
% 5.46/1.11  # Child (28192) has found a proof.
% 5.46/1.11  
% 5.46/1.11  # Proof search is over...
% 5.46/1.11  # Freeing feature tree
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