TSTP Solution File: KLE167+1 by Etableau---0.67
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : KLE167+1 : 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 : n004.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 01:57:25 EDT 2022
% Result : Theorem 0.21s 0.44s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KLE167+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.14/0.35 % Computer : n004.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Thu Jun 16 14:38:38 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.38 # No SInE strategy applied
% 0.14/0.38 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI
% 0.14/0.38 # and selection function SelectComplexExceptUniqMaxHorn.
% 0.14/0.38 #
% 0.14/0.38 # Presaturation interreduction done
% 0.14/0.38 # Number of axioms: 21 Number of unprocessed: 21
% 0.14/0.38 # Tableaux proof search.
% 0.14/0.38 # APR header successfully linked.
% 0.14/0.38 # Hello from C++
% 0.14/0.41 # The folding up rule is enabled...
% 0.14/0.41 # Local unification is enabled...
% 0.14/0.41 # Any saturation attempts will use folding labels...
% 0.14/0.41 # 21 beginning clauses after preprocessing and clausification
% 0.14/0.41 # Creating start rules for all 2 conjectures.
% 0.14/0.41 # There are 2 start rule candidates:
% 0.14/0.41 # Found 14 unit axioms.
% 0.14/0.41 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.14/0.41 # 2 start rule tableaux created.
% 0.14/0.41 # 7 extension rule candidate clauses
% 0.14/0.41 # 14 unit axiom clauses
% 0.14/0.41
% 0.14/0.41 # Requested 8, 32 cores available to the main process.
% 0.14/0.41 # There are not enough tableaux to fork, creating more from the initial 2
% 0.21/0.44 # There were 2 total branch saturation attempts.
% 0.21/0.44 # There were 0 of these attempts blocked.
% 0.21/0.44 # There were 0 deferred branch saturation attempts.
% 0.21/0.44 # There were 0 free duplicated saturations.
% 0.21/0.44 # There were 2 total successful branch saturations.
% 0.21/0.44 # There were 0 successful branch saturations in interreduction.
% 0.21/0.44 # There were 0 successful branch saturations on the branch.
% 0.21/0.44 # There were 2 successful branch saturations after the branch.
% 0.21/0.44 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.44 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.44 # Begin clausification derivation
% 0.21/0.44
% 0.21/0.44 # End clausification derivation
% 0.21/0.44 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.21/0.44 cnf(i_0_10, plain, (multiplication(zero,X1)=zero)).
% 0.21/0.44 cnf(i_0_3, plain, (addition(X1,zero)=X1)).
% 0.21/0.44 cnf(i_0_6, plain, (multiplication(X1,one)=X1)).
% 0.21/0.44 cnf(i_0_7, plain, (multiplication(one,X1)=X1)).
% 0.21/0.44 cnf(i_0_4, plain, (addition(X1,X1)=X1)).
% 0.21/0.44 cnf(i_0_2, plain, (addition(addition(X1,X2),X3)=addition(X1,addition(X2,X3)))).
% 0.21/0.44 cnf(i_0_11, plain, (addition(one,multiplication(X1,star(X1)))=star(X1))).
% 0.21/0.44 cnf(i_0_12, plain, (addition(one,multiplication(star(X1),X1))=star(X1))).
% 0.21/0.44 cnf(i_0_5, plain, (multiplication(multiplication(X1,X2),X3)=multiplication(X1,multiplication(X2,X3)))).
% 0.21/0.44 cnf(i_0_17, plain, (addition(star(X1),multiplication(strong_iteration(X1),zero))=strong_iteration(X1))).
% 0.21/0.44 cnf(i_0_15, plain, (addition(one,multiplication(X1,strong_iteration(X1)))=strong_iteration(X1))).
% 0.21/0.44 cnf(i_0_8, plain, (addition(multiplication(X1,X2),multiplication(X1,X3))=multiplication(X1,addition(X2,X3)))).
% 0.21/0.44 cnf(i_0_9, plain, (addition(multiplication(X1,X2),multiplication(X3,X2))=multiplication(addition(X1,X3),X2))).
% 0.21/0.44 cnf(i_0_1, plain, (addition(X1,X2)=addition(X2,X1))).
% 0.21/0.44 cnf(i_0_21, negated_conjecture, (multiplication(esk1_0,esk2_0)=zero|~leq(esk1_0,multiplication(esk1_0,star(esk2_0))))).
% 0.21/0.44 cnf(i_0_20, negated_conjecture, (~leq(esk1_0,multiplication(esk1_0,star(esk2_0)))|~leq(multiplication(esk1_0,star(esk2_0)),esk1_0))).
% 0.21/0.44 cnf(i_0_19, plain, (addition(X1,X2)=X2|~leq(X1,X2))).
% 0.21/0.44 cnf(i_0_18, plain, (leq(X1,X2)|addition(X1,X2)!=X2)).
% 0.21/0.44 cnf(i_0_16, plain, (leq(X1,multiplication(strong_iteration(X2),X3))|~leq(X1,addition(multiplication(X2,X1),X3)))).
% 0.21/0.44 cnf(i_0_14, plain, (leq(multiplication(X1,star(X2)),X3)|~leq(addition(multiplication(X3,X2),X1),X3))).
% 0.21/0.44 cnf(i_0_13, plain, (leq(multiplication(star(X1),X2),X3)|~leq(addition(multiplication(X1,X3),X2),X3))).
% 0.21/0.44 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.21/0.44 # Begin printing tableau
% 0.21/0.44 # Found 5 steps
% 0.21/0.44 cnf(i_0_20, negated_conjecture, (~leq(esk1_0,multiplication(esk1_0,star(esk2_0)))|~leq(multiplication(esk1_0,star(esk2_0)),esk1_0)), inference(start_rule)).
% 0.21/0.44 cnf(i_0_23, plain, (~leq(multiplication(esk1_0,star(esk2_0)),esk1_0)), inference(extension_rule, [i_0_14])).
% 0.21/0.44 cnf(i_0_47, plain, (~leq(addition(multiplication(esk1_0,esk2_0),esk1_0),esk1_0)), inference(extension_rule, [i_0_18])).
% 0.21/0.44 cnf(i_0_22, plain, (~leq(esk1_0,multiplication(esk1_0,star(esk2_0)))), inference(etableau_closure_rule, [i_0_22, ...])).
% 0.21/0.44 cnf(i_0_99, plain, (addition(addition(multiplication(esk1_0,esk2_0),esk1_0),esk1_0)!=esk1_0), inference(etableau_closure_rule, [i_0_99, ...])).
% 0.21/0.44 # End printing tableau
% 0.21/0.44 # SZS output end
% 0.21/0.44 # Branches closed with saturation will be marked with an "s"
% 0.21/0.44 # Returning from population with 3 new_tableaux and 0 remaining starting tableaux.
% 0.21/0.44 # We now have 3 tableaux to operate on
% 0.21/0.44 # Found closed tableau during pool population.
% 0.21/0.44 # Proof search is over...
% 0.21/0.44 # Freeing feature tree
%------------------------------------------------------------------------------