TSTP Solution File: KLE002+1 by Etableau---0.67
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : KLE002+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 : n020.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 01:56:26 EDT 2022
% Result : Theorem 0.22s 0.41s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : KLE002+1 : 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
% 0.14/0.36 % Computer : n020.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Thu Jun 16 13:12:04 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.22/0.39 # No SInE strategy applied
% 0.22/0.39 # Auto-Mode selected heuristic H_____047_B31_F1_PI_AE_R4_CS_SP_S2S
% 0.22/0.39 # and selection function SelectNewComplexAHP.
% 0.22/0.39 #
% 0.22/0.39 # Number of axioms: 15 Number of unprocessed: 15
% 0.22/0.39 # Tableaux proof search.
% 0.22/0.39 # APR header successfully linked.
% 0.22/0.39 # Hello from C++
% 0.22/0.39 # The folding up rule is enabled...
% 0.22/0.39 # Local unification is enabled...
% 0.22/0.39 # Any saturation attempts will use folding labels...
% 0.22/0.39 # 15 beginning clauses after preprocessing and clausification
% 0.22/0.39 # Creating start rules for all 2 conjectures.
% 0.22/0.39 # There are 2 start rule candidates:
% 0.22/0.39 # Found 13 unit axioms.
% 0.22/0.39 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.22/0.39 # 2 start rule tableaux created.
% 0.22/0.39 # 2 extension rule candidate clauses
% 0.22/0.39 # 13 unit axiom clauses
% 0.22/0.39
% 0.22/0.39 # Requested 8, 32 cores available to the main process.
% 0.22/0.39 # There are not enough tableaux to fork, creating more from the initial 2
% 0.22/0.39 # Creating equality axioms
% 0.22/0.39 # Ran out of tableaux, making start rules for all clauses
% 0.22/0.39 # Returning from population with 17 new_tableaux and 0 remaining starting tableaux.
% 0.22/0.39 # We now have 17 tableaux to operate on
% 0.22/0.41 # There were 1 total branch saturation attempts.
% 0.22/0.41 # There were 0 of these attempts blocked.
% 0.22/0.41 # There were 0 deferred branch saturation attempts.
% 0.22/0.41 # There were 0 free duplicated saturations.
% 0.22/0.41 # There were 1 total successful branch saturations.
% 0.22/0.41 # There were 0 successful branch saturations in interreduction.
% 0.22/0.41 # There were 0 successful branch saturations on the branch.
% 0.22/0.41 # There were 1 successful branch saturations after the branch.
% 0.22/0.41 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.41 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.41 # Begin clausification derivation
% 0.22/0.41
% 0.22/0.41 # End clausification derivation
% 0.22/0.41 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.22/0.41 cnf(i_0_15, negated_conjecture, (leq(esk1_0,esk2_0))).
% 0.22/0.41 cnf(i_0_10, plain, (multiplication(X1,zero)=zero)).
% 0.22/0.41 cnf(i_0_11, plain, (multiplication(zero,X1)=zero)).
% 0.22/0.41 cnf(i_0_3, plain, (addition(X1,zero)=X1)).
% 0.22/0.41 cnf(i_0_6, plain, (multiplication(X1,one)=X1)).
% 0.22/0.41 cnf(i_0_7, plain, (multiplication(one,X1)=X1)).
% 0.22/0.41 cnf(i_0_4, plain, (addition(X1,X1)=X1)).
% 0.22/0.41 cnf(i_0_1, plain, (addition(X1,X2)=addition(X2,X1))).
% 0.22/0.41 cnf(i_0_13, plain, (addition(X1,X2)=X2|~leq(X1,X2))).
% 0.22/0.41 cnf(i_0_12, plain, (leq(X1,X2)|addition(X1,X2)!=X2)).
% 0.22/0.41 cnf(i_0_2, plain, (addition(addition(X1,X2),X3)=addition(X1,addition(X2,X3)))).
% 0.22/0.41 cnf(i_0_5, plain, (multiplication(multiplication(X1,X2),X3)=multiplication(X1,multiplication(X2,X3)))).
% 0.22/0.41 cnf(i_0_14, negated_conjecture, (~leq(multiplication(esk1_0,esk3_0),multiplication(esk2_0,esk3_0)))).
% 0.22/0.41 cnf(i_0_8, plain, (addition(multiplication(X1,X2),multiplication(X1,X3))=multiplication(X1,addition(X2,X3)))).
% 0.22/0.41 cnf(i_0_9, plain, (addition(multiplication(X1,X3),multiplication(X2,X3))=multiplication(addition(X1,X2),X3))).
% 0.22/0.41 cnf(i_0_34, plain, (X32=X32)).
% 0.22/0.41 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.22/0.41 # Begin printing tableau
% 0.22/0.41 # Found 5 steps
% 0.22/0.41 cnf(i_0_15, negated_conjecture, (leq(esk1_0,esk2_0)), inference(start_rule)).
% 0.22/0.41 cnf(i_0_41, plain, (leq(esk1_0,esk2_0)), inference(extension_rule, [i_0_13])).
% 0.22/0.41 cnf(i_0_59, plain, (addition(esk1_0,esk2_0)=esk2_0), inference(extension_rule, [i_0_37])).
% 0.22/0.41 cnf(i_0_90, plain, (esk2_0!=addition(esk2_0,zero)), inference(closure_rule, [i_0_3])).
% 0.22/0.41 cnf(i_0_88, plain, (addition(esk1_0,esk2_0)=addition(esk2_0,zero)), inference(etableau_closure_rule, [i_0_88, ...])).
% 0.22/0.41 # End printing tableau
% 0.22/0.41 # SZS output end
% 0.22/0.41 # Branches closed with saturation will be marked with an "s"
% 0.22/0.41 # There were 1 total branch saturation attempts.
% 0.22/0.41 # There were 0 of these attempts blocked.
% 0.22/0.41 # There were 0 deferred branch saturation attempts.
% 0.22/0.41 # There were 0 free duplicated saturations.
% 0.22/0.41 # There were 1 total successful branch saturations.
% 0.22/0.41 # There were 0 successful branch saturations in interreduction.
% 0.22/0.41 # There were 0 successful branch saturations on the branch.
% 0.22/0.41 # There were 1 successful branch saturations after the branch.
% 0.22/0.41 # There were 1 total branch saturation attempts.
% 0.22/0.41 # There were 0 of these attempts blocked.
% 0.22/0.41 # There were 0 deferred branch saturation attempts.
% 0.22/0.41 # There were 0 free duplicated saturations.
% 0.22/0.41 # There were 1 total successful branch saturations.
% 0.22/0.41 # There were 0 successful branch saturations in interreduction.
% 0.22/0.41 # There were 0 successful branch saturations on the branch.
% 0.22/0.41 # There were 1 successful branch saturations after the branch.
% 0.22/0.41 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.41 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.41 # Begin clausification derivation
% 0.22/0.41
% 0.22/0.41 # End clausification derivation
% 0.22/0.41 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.22/0.41 cnf(i_0_15, negated_conjecture, (leq(esk1_0,esk2_0))).
% 0.22/0.41 cnf(i_0_10, plain, (multiplication(X1,zero)=zero)).
% 0.22/0.41 cnf(i_0_11, plain, (multiplication(zero,X1)=zero)).
% 0.22/0.41 cnf(i_0_3, plain, (addition(X1,zero)=X1)).
% 0.22/0.41 cnf(i_0_6, plain, (multiplication(X1,one)=X1)).
% 0.22/0.41 cnf(i_0_7, plain, (multiplication(one,X1)=X1)).
% 0.22/0.41 cnf(i_0_4, plain, (addition(X1,X1)=X1)).
% 0.22/0.41 cnf(i_0_1, plain, (addition(X1,X2)=addition(X2,X1))).
% 0.22/0.41 cnf(i_0_13, plain, (addition(X1,X2)=X2|~leq(X1,X2))).
% 0.22/0.41 cnf(i_0_12, plain, (leq(X1,X2)|addition(X1,X2)!=X2)).
% 0.22/0.41 cnf(i_0_2, plain, (addition(addition(X1,X2),X3)=addition(X1,addition(X2,X3)))).
% 0.22/0.41 cnf(i_0_5, plain, (multiplication(multiplication(X1,X2),X3)=multiplication(X1,multiplication(X2,X3)))).
% 0.22/0.41 cnf(i_0_14, negated_conjecture, (~leq(multiplication(esk1_0,esk3_0),multiplication(esk2_0,esk3_0)))).
% 0.22/0.41 cnf(i_0_8, plain, (addition(multiplication(X1,X2),multiplication(X1,X3))=multiplication(X1,addition(X2,X3)))).
% 0.22/0.41 cnf(i_0_9, plain, (addition(multiplication(X1,X3),multiplication(X2,X3))=multiplication(addition(X1,X2),X3))).
% 0.22/0.41 cnf(i_0_34, plain, (X32=X32)).
% 0.22/0.41 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.22/0.41 # Begin printing tableau
% 0.22/0.41 # Found 5 steps
% 0.22/0.41 cnf(i_0_11, plain, (multiplication(zero,X4)=zero), inference(start_rule)).
% 0.22/0.41 cnf(i_0_43, plain, (multiplication(zero,X4)=zero), inference(extension_rule, [i_0_37])).
% 0.22/0.41 cnf(i_0_90, plain, (multiplication(X4,zero)!=zero), inference(closure_rule, [i_0_10])).
% 0.22/0.41 cnf(i_0_88, plain, (multiplication(zero,X4)=multiplication(X4,zero)), inference(extension_rule, [i_0_35])).
% 0.22/0.41 cnf(i_0_95, plain, (multiplication(X4,zero)=multiplication(zero,X4)), inference(etableau_closure_rule, [i_0_95, ...])).
% 0.22/0.41 # End printing tableau
% 0.22/0.41 # SZS output end
% 0.22/0.41 # Branches closed with saturation will be marked with an "s"
% 0.22/0.41 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.41 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.41 # Begin clausification derivation
% 0.22/0.41
% 0.22/0.41 # End clausification derivation
% 0.22/0.41 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.22/0.41 cnf(i_0_15, negated_conjecture, (leq(esk1_0,esk2_0))).
% 0.22/0.41 cnf(i_0_10, plain, (multiplication(X1,zero)=zero)).
% 0.22/0.41 cnf(i_0_11, plain, (multiplication(zero,X1)=zero)).
% 0.22/0.41 cnf(i_0_3, plain, (addition(X1,zero)=X1)).
% 0.22/0.41 cnf(i_0_6, plain, (multiplication(X1,one)=X1)).
% 0.22/0.41 cnf(i_0_7, plain, (multiplication(one,X1)=X1)).
% 0.22/0.41 cnf(i_0_4, plain, (addition(X1,X1)=X1)).
% 0.22/0.41 cnf(i_0_1, plain, (addition(X1,X2)=addition(X2,X1))).
% 0.22/0.41 cnf(i_0_13, plain, (addition(X1,X2)=X2|~leq(X1,X2))).
% 0.22/0.41 cnf(i_0_12, plain, (leq(X1,X2)|addition(X1,X2)!=X2)).
% 0.22/0.41 cnf(i_0_2, plain, (addition(addition(X1,X2),X3)=addition(X1,addition(X2,X3)))).
% 0.22/0.41 cnf(i_0_5, plain, (multiplication(multiplication(X1,X2),X3)=multiplication(X1,multiplication(X2,X3)))).
% 0.22/0.41 cnf(i_0_14, negated_conjecture, (~leq(multiplication(esk1_0,esk3_0),multiplication(esk2_0,esk3_0)))).
% 0.22/0.41 cnf(i_0_8, plain, (addition(multiplication(X1,X2),multiplication(X1,X3))=multiplication(X1,addition(X2,X3)))).
% 0.22/0.41 cnf(i_0_9, plain, (addition(multiplication(X1,X3),multiplication(X2,X3))=multiplication(addition(X1,X2),X3))).
% 0.22/0.41 cnf(i_0_34, plain, (X32=X32)).
% 0.22/0.41 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.22/0.41 # Begin printing tableau
% 0.22/0.41 # Found 6 steps
% 0.22/0.41 cnf(i_0_10, plain, (multiplication(X1,zero)=zero), inference(start_rule)).
% 0.22/0.41 cnf(i_0_42, plain, (multiplication(X1,zero)=zero), inference(extension_rule, [i_0_37])).
% 0.22/0.41 cnf(i_0_90, plain, (multiplication(X1,zero)!=zero), inference(closure_rule, [i_0_10])).
% 0.22/0.41 cnf(i_0_88, plain, (multiplication(X1,zero)=multiplication(X1,zero)), inference(extension_rule, [i_0_38])).
% 0.22/0.41 cnf(i_0_101, plain, (multiplication(X1,zero)!=zero), inference(closure_rule, [i_0_10])).
% 0.22/0.41 cnf(i_0_99, plain, (addition(multiplication(X1,zero),multiplication(X1,zero))=addition(multiplication(X1,zero),zero)), inference(etableau_closure_rule, [i_0_99, ...])).
% 0.22/0.41 # End printing tableau
% 0.22/0.41 # SZS output end
% 0.22/0.41 # Branches closed with saturation will be marked with an "s"
% 0.22/0.41 # There were 1 total branch saturation attempts.
% 0.22/0.41 # There were 0 of these attempts blocked.
% 0.22/0.41 # There were 0 deferred branch saturation attempts.
% 0.22/0.41 # There were 0 free duplicated saturations.
% 0.22/0.41 # There were 1 total successful branch saturations.
% 0.22/0.41 # There were 0 successful branch saturations in interreduction.
% 0.22/0.41 # There were 0 successful branch saturations on the branch.
% 0.22/0.41 # There were 1 successful branch saturations after the branch.
% 0.22/0.41 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.41 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.41 # Begin clausification derivation
% 0.22/0.41
% 0.22/0.41 # End clausification derivation
% 0.22/0.41 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.22/0.41 cnf(i_0_15, negated_conjecture, (leq(esk1_0,esk2_0))).
% 0.22/0.41 cnf(i_0_10, plain, (multiplication(X1,zero)=zero)).
% 0.22/0.41 cnf(i_0_11, plain, (multiplication(zero,X1)=zero)).
% 0.22/0.41 cnf(i_0_3, plain, (addition(X1,zero)=X1)).
% 0.22/0.41 cnf(i_0_6, plain, (multiplication(X1,one)=X1)).
% 0.22/0.41 cnf(i_0_7, plain, (multiplication(one,X1)=X1)).
% 0.22/0.41 cnf(i_0_4, plain, (addition(X1,X1)=X1)).
% 0.22/0.41 cnf(i_0_1, plain, (addition(X1,X2)=addition(X2,X1))).
% 0.22/0.41 cnf(i_0_13, plain, (addition(X1,X2)=X2|~leq(X1,X2))).
% 0.22/0.41 cnf(i_0_12, plain, (leq(X1,X2)|addition(X1,X2)!=X2)).
% 0.22/0.41 cnf(i_0_2, plain, (addition(addition(X1,X2),X3)=addition(X1,addition(X2,X3)))).
% 0.22/0.41 cnf(i_0_5, plain, (multiplication(multiplication(X1,X2),X3)=multiplication(X1,multiplication(X2,X3)))).
% 0.22/0.41 cnf(i_0_14, negated_conjecture, (~leq(multiplication(esk1_0,esk3_0),multiplication(esk2_0,esk3_0)))).
% 0.22/0.41 cnf(i_0_8, plain, (addition(multiplication(X1,X2),multiplication(X1,X3))=multiplication(X1,addition(X2,X3)))).
% 0.22/0.41 cnf(i_0_9, plain, (addition(multiplication(X1,X3),multiplication(X2,X3))=multiplication(addition(X1,X2),X3))).
% 0.22/0.41 cnf(i_0_34, plain, (X32=X32)).
% 0.22/0.41 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.22/0.41 # Begin printing tableau
% 0.22/0.41 # Found 6 steps
% 0.22/0.41 cnf(i_0_6, plain, (multiplication(zero,one)=zero), inference(start_rule)).
% 0.22/0.41 cnf(i_0_45, plain, (multiplication(zero,one)=zero), inference(extension_rule, [i_0_37])).
% 0.22/0.41 cnf(i_0_89, plain, (multiplication(zero,one)!=zero), inference(closure_rule, [i_0_11])).
% 0.22/0.41 cnf(i_0_88, plain, (zero=zero), inference(extension_rule, [i_0_38])).
% 0.22/0.41 cnf(i_0_101, plain, (multiplication(X1,zero)!=zero), inference(closure_rule, [i_0_10])).
% 0.22/0.41 cnf(i_0_99, plain, (addition(zero,multiplication(X1,zero))=addition(zero,zero)), inference(etableau_closure_rule, [i_0_99, ...])).
% 0.22/0.41 # End printing tableau
% 0.22/0.41 # SZS output end
% 0.22/0.41 # Branches closed with saturation will be marked with an "s"
% 0.22/0.41 # There were 1 total branch saturation attempts.
% 0.22/0.41 # There were 0 of these attempts blocked.
% 0.22/0.41 # There were 0 deferred branch saturation attempts.
% 0.22/0.41 # There were 0 free duplicated saturations.
% 0.22/0.41 # There were 1 total successful branch saturations.
% 0.22/0.41 # There were 0 successful branch saturations in interreduction.
% 0.22/0.41 # There were 0 successful branch saturations on the branch.
% 0.22/0.41 # There were 1 successful branch saturations after the branch.
% 0.22/0.41 # Child (18803) has found a proof.
% 0.22/0.41
% 0.22/0.41 # Proof search is over...
% 0.22/0.41 # Freeing feature tree
%------------------------------------------------------------------------------