TSTP Solution File: LAT259-2 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : LAT259-2 : TPTP v8.1.0. Released v3.2.0.
% 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 : n009.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 04:49:47 EDT 2022

% Result   : Unsatisfiable 0.14s 0.37s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : LAT259-2 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.13  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.14/0.34  % Computer : n009.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Thu Jun 30 12:11:52 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.14/0.37  # No SInE strategy applied
% 0.14/0.37  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.14/0.37  # and selection function SelectComplexExceptUniqMaxHorn.
% 0.14/0.37  #
% 0.14/0.37  # Presaturation interreduction done
% 0.14/0.37  # Number of axioms: 7 Number of unprocessed: 7
% 0.14/0.37  # Tableaux proof search.
% 0.14/0.37  # APR header successfully linked.
% 0.14/0.37  # Hello from C++
% 0.14/0.37  # The folding up rule is enabled...
% 0.14/0.37  # Local unification is enabled...
% 0.14/0.37  # Any saturation attempts will use folding labels...
% 0.14/0.37  # 7 beginning clauses after preprocessing and clausification
% 0.14/0.37  # Creating start rules for all 3 conjectures.
% 0.14/0.37  # There are 3 start rule candidates:
% 0.14/0.37  # Found 5 unit axioms.
% 0.14/0.37  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.14/0.37  # 3 start rule tableaux created.
% 0.14/0.37  # 2 extension rule candidate clauses
% 0.14/0.37  # 5 unit axiom clauses
% 0.14/0.37  
% 0.14/0.37  # Requested 8, 32 cores available to the main process.
% 0.14/0.37  # There are not enough tableaux to fork, creating more from the initial 3
% 0.14/0.37  # Creating equality axioms
% 0.14/0.37  # Ran out of tableaux, making start rules for all clauses
% 0.14/0.37  # Returning from population with 10 new_tableaux and 0 remaining starting tableaux.
% 0.14/0.37  # We now have 10 tableaux to operate on
% 0.14/0.37  # There were 2 total branch saturation attempts.
% 0.14/0.37  # There were 0 of these attempts blocked.
% 0.14/0.37  # There were 0 deferred branch saturation attempts.
% 0.14/0.37  # There were 0 free duplicated saturations.
% 0.14/0.37  # There were 2 total successful branch saturations.
% 0.14/0.37  # There were 1 successful branch saturations in interreduction.
% 0.14/0.37  # There were 0 successful branch saturations on the branch.
% 0.14/0.37  # There were 1 successful branch saturations after the branch.
% 0.14/0.37  # There were 1 total branch saturation attempts.
% 0.14/0.37  # There were 0 of these attempts blocked.
% 0.14/0.37  # There were 0 deferred branch saturation attempts.
% 0.14/0.37  # There were 0 free duplicated saturations.
% 0.14/0.37  # There were 1 total successful branch saturations.
% 0.14/0.37  # There were 0 successful branch saturations in interreduction.
% 0.14/0.37  # There were 0 successful branch saturations on the branch.
% 0.14/0.37  # There were 1 successful branch saturations after the branch.
% 0.14/0.37  # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.37  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.37  # Begin clausification derivation
% 0.14/0.37  
% 0.14/0.37  # End clausification derivation
% 0.14/0.37  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.14/0.37  cnf(i_0_8, negated_conjecture, (c_in(c_Pair(v_a,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)))).
% 0.14/0.37  cnf(i_0_9, negated_conjecture, (c_in(c_Pair(v_b,v_a,t_a,t_a),v_r,tc_prod(t_a,t_a)))).
% 0.14/0.37  cnf(i_0_14, plain, (c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)=v_r)).
% 0.14/0.37  cnf(i_0_13, plain, (c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)))).
% 0.14/0.37  cnf(i_0_10, negated_conjecture, (v_b!=v_a)).
% 0.14/0.37  cnf(i_0_12, plain, (c_Relation_Oantisym(c_Tarski_Opotype_Oorder(X1,X2,tc_Product__Type_Ounit),X2)|~c_in(X1,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit)))).
% 0.14/0.37  cnf(i_0_11, plain, (X1=X2|~c_Relation_Oantisym(X3,X4)|~c_in(c_Pair(X2,X1,X4,X4),X3,tc_prod(X4,X4))|~c_in(c_Pair(X1,X2,X4,X4),X3,tc_prod(X4,X4)))).
% 0.14/0.37  cnf(i_0_66, plain, (X5=X5)).
% 0.14/0.37  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.14/0.37  # Begin printing tableau
% 0.14/0.37  # Found 8 steps
% 0.14/0.37  cnf(i_0_8, negated_conjecture, (c_in(c_Pair(v_a,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))), inference(start_rule)).
% 0.14/0.37  cnf(i_0_76, plain, (c_in(c_Pair(v_a,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))), inference(extension_rule, [i_0_11])).
% 0.14/0.37  cnf(i_0_90, plain, (v_b=v_a), inference(closure_rule, [i_0_10])).
% 0.14/0.37  cnf(i_0_92, plain, (~c_in(c_Pair(v_b,v_a,t_a,t_a),v_r,tc_prod(t_a,t_a))), inference(closure_rule, [i_0_9])).
% 0.14/0.37  cnf(i_0_91, plain, (~c_Relation_Oantisym(v_r,t_a)), inference(extension_rule, [i_0_73])).
% 0.14/0.37  cnf(i_0_152, plain, (c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)!=v_r), inference(closure_rule, [i_0_14])).
% 0.14/0.37  cnf(i_0_153, plain, ($false), inference(closure_rule, [i_0_66])).
% 0.14/0.37  cnf(i_0_154, plain, (~c_Relation_Oantisym(c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),t_a)), inference(etableau_closure_rule, [i_0_154, ...])).
% 0.14/0.37  # End printing tableau
% 0.14/0.37  # SZS output end
% 0.14/0.37  # Branches closed with saturation will be marked with an "s"
% 0.14/0.37  # There were 1 total branch saturation attempts.
% 0.14/0.37  # There were 0 of these attempts blocked.
% 0.14/0.37  # There were 0 deferred branch saturation attempts.
% 0.14/0.37  # There were 0 free duplicated saturations.
% 0.14/0.37  # There were 1 total successful branch saturations.
% 0.14/0.37  # There were 0 successful branch saturations in interreduction.
% 0.14/0.37  # There were 0 successful branch saturations on the branch.
% 0.14/0.37  # There were 1 successful branch saturations after the branch.
% 0.14/0.37  # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.37  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.37  # Begin clausification derivation
% 0.14/0.37  
% 0.14/0.37  # End clausification derivation
% 0.14/0.37  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.14/0.37  cnf(i_0_8, negated_conjecture, (c_in(c_Pair(v_a,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)))).
% 0.14/0.37  cnf(i_0_9, negated_conjecture, (c_in(c_Pair(v_b,v_a,t_a,t_a),v_r,tc_prod(t_a,t_a)))).
% 0.14/0.37  cnf(i_0_14, plain, (c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)=v_r)).
% 0.14/0.37  cnf(i_0_13, plain, (c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)))).
% 0.14/0.37  cnf(i_0_10, negated_conjecture, (v_b!=v_a)).
% 0.14/0.37  cnf(i_0_12, plain, (c_Relation_Oantisym(c_Tarski_Opotype_Oorder(X1,X2,tc_Product__Type_Ounit),X2)|~c_in(X1,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit)))).
% 0.14/0.37  cnf(i_0_11, plain, (X1=X2|~c_Relation_Oantisym(X3,X4)|~c_in(c_Pair(X2,X1,X4,X4),X3,tc_prod(X4,X4))|~c_in(c_Pair(X1,X2,X4,X4),X3,tc_prod(X4,X4)))).
% 0.14/0.37  cnf(i_0_66, plain, (X5=X5)).
% 0.14/0.37  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.14/0.37  # Begin printing tableau
% 0.14/0.37  # Found 8 steps
% 0.14/0.37  cnf(i_0_8, negated_conjecture, (c_in(c_Pair(v_a,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))), inference(start_rule)).
% 0.14/0.37  cnf(i_0_76, plain, (c_in(c_Pair(v_a,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))), inference(extension_rule, [i_0_11])).
% 0.14/0.37  cnf(i_0_90, plain, (v_b=v_a), inference(closure_rule, [i_0_10])).
% 0.14/0.37  cnf(i_0_93, plain, (~c_in(c_Pair(v_b,v_a,t_a,t_a),v_r,tc_prod(t_a,t_a))), inference(closure_rule, [i_0_9])).
% 0.14/0.37  cnf(i_0_91, plain, (~c_Relation_Oantisym(v_r,t_a)), inference(extension_rule, [i_0_73])).
% 0.14/0.37  cnf(i_0_152, plain, (c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)!=v_r), inference(closure_rule, [i_0_14])).
% 0.14/0.37  cnf(i_0_153, plain, ($false), inference(closure_rule, [i_0_66])).
% 0.14/0.37  cnf(i_0_154, plain, (~c_Relation_Oantisym(c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),t_a)), inference(etableau_closure_rule, [i_0_154, ...])).
% 0.14/0.37  # End printing tableau
% 0.14/0.37  # SZS output end
% 0.14/0.37  # Branches closed with saturation will be marked with an "s"
% 0.14/0.37  # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.37  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.37  # Begin clausification derivation
% 0.14/0.37  
% 0.14/0.37  # End clausification derivation
% 0.14/0.37  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.14/0.37  cnf(i_0_8, negated_conjecture, (c_in(c_Pair(v_a,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)))).
% 0.14/0.37  cnf(i_0_9, negated_conjecture, (c_in(c_Pair(v_b,v_a,t_a,t_a),v_r,tc_prod(t_a,t_a)))).
% 0.14/0.37  cnf(i_0_14, plain, (c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)=v_r)).
% 0.14/0.37  cnf(i_0_13, plain, (c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)))).
% 0.14/0.37  cnf(i_0_10, negated_conjecture, (v_b!=v_a)).
% 0.14/0.37  cnf(i_0_12, plain, (c_Relation_Oantisym(c_Tarski_Opotype_Oorder(X1,X2,tc_Product__Type_Ounit),X2)|~c_in(X1,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit)))).
% 0.14/0.37  cnf(i_0_11, plain, (X1=X2|~c_Relation_Oantisym(X3,X4)|~c_in(c_Pair(X2,X1,X4,X4),X3,tc_prod(X4,X4))|~c_in(c_Pair(X1,X2,X4,X4),X3,tc_prod(X4,X4)))).
% 0.14/0.37  cnf(i_0_66, plain, (X5=X5)).
% 0.14/0.37  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.14/0.37  # Begin printing tableau
% 0.14/0.37  # Found 9 steps
% 0.14/0.37  cnf(i_0_8, negated_conjecture, (c_in(c_Pair(v_a,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))), inference(start_rule)).
% 0.14/0.37  cnf(i_0_76, plain, (c_in(c_Pair(v_a,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))), inference(extension_rule, [i_0_72])).
% 0.14/0.37  cnf(i_0_110, plain, ($false), inference(closure_rule, [i_0_66])).
% 0.14/0.37  cnf(i_0_111, plain, (c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)!=v_r), inference(closure_rule, [i_0_14])).
% 0.14/0.37  cnf(i_0_112, plain, ($false), inference(closure_rule, [i_0_66])).
% 0.14/0.37  cnf(i_0_109, plain, (c_in(c_Pair(v_a,v_b,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))), inference(extension_rule, [i_0_11])).
% 0.14/0.37  cnf(i_0_127, plain, (v_b=v_a), inference(closure_rule, [i_0_10])).
% 0.14/0.37  cnf(i_0_128, plain, (~c_Relation_Oantisym(c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),t_a)), inference(etableau_closure_rule, [i_0_128, ...])).
% 0.14/0.37  cnf(i_0_130, plain, (~c_in(c_Pair(v_b,v_a,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))), inference(etableau_closure_rule, [i_0_130, ...])).
% 0.14/0.37  # End printing tableau
% 0.14/0.37  # SZS output end
% 0.14/0.37  # Branches closed with saturation will be marked with an "s"
% 0.14/0.37  # There were 1 total branch saturation attempts.
% 0.14/0.37  # There were 0 of these attempts blocked.
% 0.14/0.37  # There were 0 deferred branch saturation attempts.
% 0.14/0.37  # There were 0 free duplicated saturations.
% 0.14/0.37  # There were 1 total successful branch saturations.
% 0.14/0.37  # There were 0 successful branch saturations in interreduction.
% 0.14/0.37  # There were 0 successful branch saturations on the branch.
% 0.14/0.37  # There were 1 successful branch saturations after the branch.
% 0.14/0.37  # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.37  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.37  # Begin clausification derivation
% 0.14/0.37  
% 0.14/0.37  # End clausification derivation
% 0.14/0.37  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.14/0.37  cnf(i_0_8, negated_conjecture, (c_in(c_Pair(v_a,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)))).
% 0.14/0.37  cnf(i_0_9, negated_conjecture, (c_in(c_Pair(v_b,v_a,t_a,t_a),v_r,tc_prod(t_a,t_a)))).
% 0.14/0.37  cnf(i_0_14, plain, (c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)=v_r)).
% 0.14/0.37  cnf(i_0_13, plain, (c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)))).
% 0.14/0.37  cnf(i_0_10, negated_conjecture, (v_b!=v_a)).
% 0.14/0.37  cnf(i_0_12, plain, (c_Relation_Oantisym(c_Tarski_Opotype_Oorder(X1,X2,tc_Product__Type_Ounit),X2)|~c_in(X1,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit)))).
% 0.14/0.37  cnf(i_0_11, plain, (X1=X2|~c_Relation_Oantisym(X3,X4)|~c_in(c_Pair(X2,X1,X4,X4),X3,tc_prod(X4,X4))|~c_in(c_Pair(X1,X2,X4,X4),X3,tc_prod(X4,X4)))).
% 0.14/0.37  cnf(i_0_66, plain, (X5=X5)).
% 0.14/0.37  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.14/0.37  # Begin printing tableau
% 0.14/0.37  # Found 8 steps
% 0.14/0.37  cnf(i_0_9, negated_conjecture, (c_in(c_Pair(v_b,v_a,t_a,t_a),v_r,tc_prod(t_a,t_a))), inference(start_rule)).
% 0.14/0.37  cnf(i_0_77, plain, (c_in(c_Pair(v_b,v_a,t_a,t_a),v_r,tc_prod(t_a,t_a))), inference(extension_rule, [i_0_11])).
% 0.14/0.37  cnf(i_0_127, plain, (v_b=v_a), inference(closure_rule, [i_0_10])).
% 0.14/0.37  cnf(i_0_130, plain, (~c_in(c_Pair(v_a,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))), inference(closure_rule, [i_0_8])).
% 0.14/0.37  cnf(i_0_128, plain, (~c_Relation_Oantisym(v_r,t_a)), inference(extension_rule, [i_0_73])).
% 0.14/0.37  cnf(i_0_154, plain, (c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)!=v_r), inference(closure_rule, [i_0_14])).
% 0.14/0.37  cnf(i_0_155, plain, ($false), inference(closure_rule, [i_0_66])).
% 0.14/0.37  cnf(i_0_156, plain, (~c_Relation_Oantisym(c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),t_a)), inference(etableau_closure_rule, [i_0_156, ...])).
% 0.14/0.37  # End printing tableau
% 0.14/0.37  # SZS output end
% 0.14/0.37  # Branches closed with saturation will be marked with an "s"
% 0.14/0.37  # Child (31061) has found a proof.
% 0.14/0.37  
% 0.14/0.37  # Proof search is over...
% 0.14/0.37  # Freeing feature tree
%------------------------------------------------------------------------------