TSTP Solution File: SET861-2 by Etableau---0.67
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SET861-2 : 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 : n019.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 : Tue Jul 19 01:03:25 EDT 2022
% Result : Unsatisfiable 86.50s 11.27s
% Output : CNFRefutation 86.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET861-2 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.12 % 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 : n019.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 21:34:53 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: 15 Number of unprocessed: 15
% 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 # 15 beginning clauses after preprocessing and clausification
% 0.12/0.36 # Creating start rules for all 5 conjectures.
% 0.12/0.36 # There are 5 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 # 5 start rule tableaux created.
% 0.12/0.36 # 13 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.
% 0.12/0.36 # There are not enough tableaux to fork, creating more from the initial 5
% 0.12/0.36 # Returning from population with 17 new_tableaux and 0 remaining starting tableaux.
% 0.12/0.36 # We now have 17 tableaux to operate on
% 86.50/11.27 # There were 5 total branch saturation attempts.
% 86.50/11.27 # There were 0 of these attempts blocked.
% 86.50/11.27 # There were 0 deferred branch saturation attempts.
% 86.50/11.27 # There were 0 free duplicated saturations.
% 86.50/11.27 # There were 5 total successful branch saturations.
% 86.50/11.27 # There were 0 successful branch saturations in interreduction.
% 86.50/11.27 # There were 0 successful branch saturations on the branch.
% 86.50/11.27 # There were 5 successful branch saturations after the branch.
% 86.50/11.27 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 86.50/11.27 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 86.50/11.27 # Begin clausification derivation
% 86.50/11.27
% 86.50/11.27 # End clausification derivation
% 86.50/11.27 # Begin listing active clauses obtained from FOF to CNF conversion
% 86.50/11.27 cnf(i_0_22, plain, (c_in(c_Zorn_OHausdorff__1(X1,X2),c_Zorn_Omaxchain(X1,X2),tc_set(tc_set(X2))))).
% 86.50/11.27 cnf(i_0_23, plain, (c_lessequals(c_Zorn_Omaxchain(X1,X2),c_Zorn_Ochain(X1,X2),tc_set(tc_set(tc_set(X2)))))).
% 86.50/11.27 cnf(i_0_29, negated_conjecture, (v_xa(X1)!=X1|~c_in(X1,v_S,tc_set(t_a)))).
% 86.50/11.27 cnf(i_0_27, negated_conjecture, (c_in(v_xa(X1),v_S,tc_set(t_a))|~c_in(X1,v_S,tc_set(t_a)))).
% 86.50/11.27 cnf(i_0_26, negated_conjecture, (c_in(v_x(X1),v_S,tc_set(t_a))|~c_in(X1,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))))).
% 86.50/11.27 cnf(i_0_28, negated_conjecture, (c_lessequals(X1,v_xa(X1),tc_set(t_a))|~c_in(X1,v_S,tc_set(t_a)))).
% 86.50/11.27 cnf(i_0_30, negated_conjecture, (c_lessequals(X1,v_x(X2),tc_set(t_a))|~c_in(X2,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))|~c_in(X1,X2,tc_set(t_a)))).
% 86.50/11.27 cnf(i_0_16, plain, (X1=X2|~c_lessequals(X2,X1,tc_set(X3))|~c_lessequals(X1,X2,tc_set(X3)))).
% 86.50/11.27 cnf(i_0_19, plain, (c_lessequals(X1,X2,tc_set(X3))|~c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3))).
% 86.50/11.27 cnf(i_0_17, plain, (c_in(X1,X2,X3)|~c_in(X1,X4,X3)|~c_lessequals(X4,X2,tc_set(X3)))).
% 86.50/11.27 cnf(i_0_18, plain, (c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3)|c_lessequals(X1,X2,tc_set(X3)))).
% 86.50/11.27 cnf(i_0_20, plain, (c_in(c_union(c_insert(X1,c_emptyset,tc_set(X2)),X3,tc_set(X2)),c_Zorn_Ochain(X4,X2),tc_set(tc_set(X2)))|c_in(c_Zorn_Ochain__extend__1(X3,X1,X2),X3,tc_set(X2))|~c_in(X3,c_Zorn_Ochain(X4,X2),tc_set(tc_set(X2)))|~c_in(X1,X4,tc_set(X2)))).
% 86.50/11.27 cnf(i_0_21, plain, (c_in(c_union(c_insert(X1,c_emptyset,tc_set(X2)),X3,tc_set(X2)),c_Zorn_Ochain(X4,X2),tc_set(tc_set(X2)))|~c_in(X3,c_Zorn_Ochain(X4,X2),tc_set(tc_set(X2)))|~c_in(X1,X4,tc_set(X2))|~c_lessequals(c_Zorn_Ochain__extend__1(X3,X1,X2),X1,tc_set(X2)))).
% 86.50/11.27 cnf(i_0_25, plain, (c_in(X1,X2,X3)|~c_in(c_union(c_insert(X4,c_emptyset,tc_set(X3)),X5,tc_set(X3)),c_Zorn_Ochain(X6,X3),tc_set(tc_set(X3)))|~c_in(X5,c_Zorn_Omaxchain(X6,X3),tc_set(tc_set(X3)))|~c_in(X1,X4,X3)|~c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X5,X2,X3),X2,tc_set(X3)))).
% 86.50/11.27 cnf(i_0_24, plain, (c_in(c_Zorn_Omaxchain__super__lemma__1(X1,X2,X3),X1,tc_set(X3))|c_in(X4,X2,X3)|~c_in(c_union(c_insert(X5,c_emptyset,tc_set(X3)),X1,tc_set(X3)),c_Zorn_Ochain(X6,X3),tc_set(tc_set(X3)))|~c_in(X1,c_Zorn_Omaxchain(X6,X3),tc_set(tc_set(X3)))|~c_in(X4,X5,X3))).
% 86.50/11.27 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 86.50/11.27 # Begin printing tableau
% 86.50/11.27 # Found 9 steps
% 86.50/11.27 cnf(i_0_30, negated_conjecture, (c_lessequals(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a))|~c_in(c_Zorn_OHausdorff__1(v_S,t_a),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))|~c_in(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))), inference(start_rule)).
% 86.50/11.27 cnf(i_0_32, plain, (~c_in(c_Zorn_OHausdorff__1(v_S,t_a),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))), inference(extension_rule, [i_0_17])).
% 86.50/11.27 cnf(i_0_87, plain, (~c_in(c_Zorn_OHausdorff__1(v_S,t_a),c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))), inference(closure_rule, [i_0_22])).
% 86.50/11.27 cnf(i_0_88, plain, (~c_lessequals(c_Zorn_Omaxchain(v_S,t_a),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(tc_set(t_a))))), inference(closure_rule, [i_0_23])).
% 86.50/11.27 cnf(i_0_31, plain, (c_lessequals(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a))), inference(extension_rule, [i_0_16])).
% 86.50/11.27 cnf(i_0_167431, plain, (v_x(c_Zorn_OHausdorff__1(v_S,t_a))=v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))), inference(extension_rule, [i_0_29])).
% 86.50/11.27 cnf(i_0_33, plain, (~c_in(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))), inference(etableau_closure_rule, [i_0_33, ...])).
% 86.50/11.27 cnf(i_0_167433, plain, (~c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),tc_set(t_a))), inference(etableau_closure_rule, [i_0_167433, ...])).
% 86.50/11.27 cnf(i_0_167474, plain, (~c_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_S,tc_set(t_a))), inference(etableau_closure_rule, [i_0_167474, ...])).
% 86.50/11.27 # End printing tableau
% 86.50/11.27 # SZS output end
% 86.50/11.27 # Branches closed with saturation will be marked with an "s"
% 87.03/11.28 # Child (11840) has found a proof.
% 87.03/11.28
% 87.03/11.28 # Proof search is over...
% 87.03/11.28 # Freeing feature tree
%------------------------------------------------------------------------------