TSTP Solution File: SET908+1 by Etableau---0.67
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- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SET908+1 : 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 : n006.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 01:03:44 EDT 2022
% Result : Theorem 0.12s 0.38s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET908+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.12/0.34 % Computer : n006.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jul 10 19:16:51 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.37 # No SInE strategy applied
% 0.12/0.37 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.12/0.37 # and selection function SelectComplexExceptUniqMaxHorn.
% 0.12/0.37 #
% 0.12/0.37 # Presaturation interreduction done
% 0.12/0.37 # Number of axioms: 21 Number of unprocessed: 21
% 0.12/0.37 # Tableaux proof search.
% 0.12/0.37 # APR header successfully linked.
% 0.12/0.37 # Hello from C++
% 0.12/0.37 # The folding up rule is enabled...
% 0.12/0.37 # Local unification is enabled...
% 0.12/0.37 # Any saturation attempts will use folding labels...
% 0.12/0.37 # 21 beginning clauses after preprocessing and clausification
% 0.12/0.37 # Creating start rules for all 1 conjectures.
% 0.12/0.37 # There are 1 start rule candidates:
% 0.12/0.37 # Found 8 unit axioms.
% 0.12/0.37 # 1 start rule tableaux created.
% 0.12/0.37 # 13 extension rule candidate clauses
% 0.12/0.37 # 8 unit axiom clauses
% 0.12/0.37
% 0.12/0.37 # Requested 8, 32 cores available to the main process.
% 0.12/0.37 # There are not enough tableaux to fork, creating more from the initial 1
% 0.12/0.37 # Creating equality axioms
% 0.12/0.37 # Ran out of tableaux, making start rules for all clauses
% 0.12/0.37 # Returning from population with 22 new_tableaux and 0 remaining starting tableaux.
% 0.12/0.37 # We now have 22 tableaux to operate on
% 0.12/0.38 # There were 1 total branch saturation attempts.
% 0.12/0.38 # There were 0 of these attempts blocked.
% 0.12/0.38 # There were 0 deferred branch saturation attempts.
% 0.12/0.38 # There were 0 free duplicated saturations.
% 0.12/0.38 # There were 1 total successful branch saturations.
% 0.12/0.38 # There were 0 successful branch saturations in interreduction.
% 0.12/0.38 # There were 0 successful branch saturations on the branch.
% 0.12/0.38 # There were 1 successful branch saturations after the branch.
% 0.12/0.38 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.38 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.38 # Begin clausification derivation
% 0.12/0.38
% 0.12/0.38 # End clausification derivation
% 0.12/0.38 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.12/0.38 cnf(i_0_15, plain, (empty(empty_set))).
% 0.12/0.38 cnf(i_0_19, plain, (empty(esk4_0))).
% 0.12/0.38 cnf(i_0_18, plain, (set_union2(X1,X1)=X1)).
% 0.12/0.38 cnf(i_0_21, negated_conjecture, (set_union2(esk7_0,singleton(esk6_0))=empty_set)).
% 0.12/0.38 cnf(i_0_5, plain, (in(X1,singleton(X1)))).
% 0.12/0.38 cnf(i_0_2, plain, (set_union2(X1,X2)=set_union2(X2,X1))).
% 0.12/0.38 cnf(i_0_20, plain, (~empty(esk5_0))).
% 0.12/0.38 cnf(i_0_8, plain, (~in(X1,empty_set))).
% 0.12/0.38 cnf(i_0_7, plain, (X1=empty_set|in(esk2_1(X1),X1))).
% 0.12/0.38 cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))).
% 0.12/0.38 cnf(i_0_17, plain, (empty(X1)|~empty(set_union2(X2,X1)))).
% 0.12/0.38 cnf(i_0_16, plain, (empty(X1)|~empty(set_union2(X1,X2)))).
% 0.12/0.38 cnf(i_0_6, plain, (X1=X2|~in(X1,singleton(X2)))).
% 0.12/0.38 cnf(i_0_3, plain, (esk1_2(X1,X2)=X1|X2=singleton(X1)|in(esk1_2(X1,X2),X2))).
% 0.12/0.38 cnf(i_0_4, plain, (X1=singleton(X2)|esk1_2(X2,X1)!=X2|~in(esk1_2(X2,X1),X1))).
% 0.12/0.38 cnf(i_0_12, plain, (in(X1,set_union2(X2,X3))|~in(X1,X3))).
% 0.12/0.38 cnf(i_0_13, plain, (in(X1,set_union2(X2,X3))|~in(X1,X2))).
% 0.12/0.38 cnf(i_0_10, plain, (X1=set_union2(X2,X3)|~in(esk3_3(X2,X3,X1),X1)|~in(esk3_3(X2,X3,X1),X3))).
% 0.12/0.38 cnf(i_0_11, plain, (X1=set_union2(X2,X3)|~in(esk3_3(X2,X3,X1),X1)|~in(esk3_3(X2,X3,X1),X2))).
% 0.12/0.38 cnf(i_0_14, plain, (in(X1,X2)|in(X1,X3)|~in(X1,set_union2(X3,X2)))).
% 0.12/0.38 cnf(i_0_9, plain, (X1=set_union2(X2,X3)|in(esk3_3(X2,X3,X1),X2)|in(esk3_3(X2,X3,X1),X3)|in(esk3_3(X2,X3,X1),X1))).
% 0.12/0.38 cnf(i_0_63, plain, (X38=X38)).
% 0.12/0.38 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.12/0.38 # Begin printing tableau
% 0.12/0.38 # Found 5 steps
% 0.12/0.38 cnf(i_0_15, plain, (empty(empty_set)), inference(start_rule)).
% 0.12/0.38 cnf(i_0_71, plain, (empty(empty_set)), inference(extension_rule, [i_0_70])).
% 0.12/0.38 cnf(i_0_162, plain, (empty(esk5_0)), inference(closure_rule, [i_0_20])).
% 0.12/0.38 cnf(i_0_163, plain, (empty_set!=esk5_0), inference(extension_rule, [i_0_7])).
% 0.12/0.38 cnf(i_0_166, plain, (in(esk2_1(esk5_0),esk5_0)), inference(etableau_closure_rule, [i_0_166, ...])).
% 0.12/0.38 # End printing tableau
% 0.12/0.38 # SZS output end
% 0.12/0.38 # Branches closed with saturation will be marked with an "s"
% 0.12/0.38 # There were 1 total branch saturation attempts.
% 0.12/0.38 # There were 0 of these attempts blocked.
% 0.12/0.38 # There were 0 deferred branch saturation attempts.
% 0.12/0.38 # There were 0 free duplicated saturations.
% 0.12/0.38 # There were 1 total successful branch saturations.
% 0.12/0.38 # There were 0 successful branch saturations in interreduction.
% 0.12/0.38 # There were 0 successful branch saturations on the branch.
% 0.12/0.38 # There were 1 successful branch saturations after the branch.
% 0.12/0.38 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.38 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.38 # Begin clausification derivation
% 0.12/0.38
% 0.12/0.38 # End clausification derivation
% 0.12/0.38 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.12/0.38 cnf(i_0_15, plain, (empty(empty_set))).
% 0.12/0.38 cnf(i_0_19, plain, (empty(esk4_0))).
% 0.12/0.38 cnf(i_0_18, plain, (set_union2(X1,X1)=X1)).
% 0.12/0.38 cnf(i_0_21, negated_conjecture, (set_union2(esk7_0,singleton(esk6_0))=empty_set)).
% 0.12/0.38 cnf(i_0_5, plain, (in(X1,singleton(X1)))).
% 0.12/0.38 cnf(i_0_2, plain, (set_union2(X1,X2)=set_union2(X2,X1))).
% 0.12/0.38 cnf(i_0_20, plain, (~empty(esk5_0))).
% 0.12/0.38 cnf(i_0_8, plain, (~in(X1,empty_set))).
% 0.12/0.38 cnf(i_0_7, plain, (X1=empty_set|in(esk2_1(X1),X1))).
% 0.12/0.38 cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))).
% 0.12/0.38 cnf(i_0_17, plain, (empty(X1)|~empty(set_union2(X2,X1)))).
% 0.12/0.38 cnf(i_0_16, plain, (empty(X1)|~empty(set_union2(X1,X2)))).
% 0.12/0.38 cnf(i_0_6, plain, (X1=X2|~in(X1,singleton(X2)))).
% 0.12/0.38 cnf(i_0_3, plain, (esk1_2(X1,X2)=X1|X2=singleton(X1)|in(esk1_2(X1,X2),X2))).
% 0.12/0.38 cnf(i_0_4, plain, (X1=singleton(X2)|esk1_2(X2,X1)!=X2|~in(esk1_2(X2,X1),X1))).
% 0.12/0.38 cnf(i_0_12, plain, (in(X1,set_union2(X2,X3))|~in(X1,X3))).
% 0.12/0.38 cnf(i_0_13, plain, (in(X1,set_union2(X2,X3))|~in(X1,X2))).
% 0.12/0.38 cnf(i_0_10, plain, (X1=set_union2(X2,X3)|~in(esk3_3(X2,X3,X1),X1)|~in(esk3_3(X2,X3,X1),X3))).
% 0.12/0.38 cnf(i_0_11, plain, (X1=set_union2(X2,X3)|~in(esk3_3(X2,X3,X1),X1)|~in(esk3_3(X2,X3,X1),X2))).
% 0.12/0.38 cnf(i_0_14, plain, (in(X1,X2)|in(X1,X3)|~in(X1,set_union2(X3,X2)))).
% 0.12/0.38 cnf(i_0_9, plain, (X1=set_union2(X2,X3)|in(esk3_3(X2,X3,X1),X2)|in(esk3_3(X2,X3,X1),X3)|in(esk3_3(X2,X3,X1),X1))).
% 0.12/0.38 cnf(i_0_63, plain, (X38=X38)).
% 0.12/0.38 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.12/0.38 # Begin printing tableau
% 0.12/0.38 # Found 5 steps
% 0.12/0.38 cnf(i_0_19, plain, (empty(esk4_0)), inference(start_rule)).
% 0.12/0.38 cnf(i_0_72, plain, (empty(esk4_0)), inference(extension_rule, [i_0_70])).
% 0.12/0.38 cnf(i_0_214, plain, (empty(esk5_0)), inference(closure_rule, [i_0_20])).
% 0.12/0.38 cnf(i_0_215, plain, (esk4_0!=esk5_0), inference(extension_rule, [i_0_6])).
% 0.12/0.38 cnf(i_0_226, plain, (~in(esk4_0,singleton(esk5_0))), inference(etableau_closure_rule, [i_0_226, ...])).
% 0.12/0.38 # End printing tableau
% 0.12/0.38 # SZS output end
% 0.12/0.38 # Branches closed with saturation will be marked with an "s"
% 0.12/0.38 # There were 1 total branch saturation attempts.
% 0.12/0.38 # There were 0 of these attempts blocked.
% 0.12/0.38 # There were 0 deferred branch saturation attempts.
% 0.12/0.38 # There were 0 free duplicated saturations.
% 0.12/0.38 # There were 1 total successful branch saturations.
% 0.12/0.38 # There were 0 successful branch saturations in interreduction.
% 0.12/0.38 # There were 0 successful branch saturations on the branch.
% 0.12/0.38 # There were 1 successful branch saturations after the branch.
% 0.12/0.38 # There were 1 total branch saturation attempts.
% 0.12/0.38 # There were 0 of these attempts blocked.
% 0.12/0.38 # There were 0 deferred branch saturation attempts.
% 0.12/0.38 # There were 0 free duplicated saturations.
% 0.12/0.38 # There were 1 total successful branch saturations.
% 0.12/0.38 # There were 0 successful branch saturations in interreduction.
% 0.12/0.38 # There were 0 successful branch saturations on the branch.
% 0.12/0.38 # There were 1 successful branch saturations after the branch.
% 0.12/0.38 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.38 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.38 # Begin clausification derivation
% 0.12/0.38
% 0.12/0.38 # End clausification derivation
% 0.12/0.38 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.12/0.38 cnf(i_0_15, plain, (empty(empty_set))).
% 0.12/0.38 cnf(i_0_19, plain, (empty(esk4_0))).
% 0.12/0.38 cnf(i_0_18, plain, (set_union2(X1,X1)=X1)).
% 0.12/0.38 cnf(i_0_21, negated_conjecture, (set_union2(esk7_0,singleton(esk6_0))=empty_set)).
% 0.12/0.38 cnf(i_0_5, plain, (in(X1,singleton(X1)))).
% 0.12/0.38 cnf(i_0_2, plain, (set_union2(X1,X2)=set_union2(X2,X1))).
% 0.12/0.38 cnf(i_0_20, plain, (~empty(esk5_0))).
% 0.12/0.38 cnf(i_0_8, plain, (~in(X1,empty_set))).
% 0.12/0.38 cnf(i_0_7, plain, (X1=empty_set|in(esk2_1(X1),X1))).
% 0.12/0.38 cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))).
% 0.12/0.38 cnf(i_0_17, plain, (empty(X1)|~empty(set_union2(X2,X1)))).
% 0.12/0.38 cnf(i_0_16, plain, (empty(X1)|~empty(set_union2(X1,X2)))).
% 0.12/0.38 cnf(i_0_6, plain, (X1=X2|~in(X1,singleton(X2)))).
% 0.12/0.38 cnf(i_0_3, plain, (esk1_2(X1,X2)=X1|X2=singleton(X1)|in(esk1_2(X1,X2),X2))).
% 0.12/0.38 cnf(i_0_4, plain, (X1=singleton(X2)|esk1_2(X2,X1)!=X2|~in(esk1_2(X2,X1),X1))).
% 0.12/0.38 cnf(i_0_12, plain, (in(X1,set_union2(X2,X3))|~in(X1,X3))).
% 0.12/0.38 cnf(i_0_13, plain, (in(X1,set_union2(X2,X3))|~in(X1,X2))).
% 0.12/0.38 cnf(i_0_10, plain, (X1=set_union2(X2,X3)|~in(esk3_3(X2,X3,X1),X1)|~in(esk3_3(X2,X3,X1),X3))).
% 0.12/0.38 cnf(i_0_11, plain, (X1=set_union2(X2,X3)|~in(esk3_3(X2,X3,X1),X1)|~in(esk3_3(X2,X3,X1),X2))).
% 0.12/0.38 cnf(i_0_14, plain, (in(X1,X2)|in(X1,X3)|~in(X1,set_union2(X3,X2)))).
% 0.12/0.38 cnf(i_0_9, plain, (X1=set_union2(X2,X3)|in(esk3_3(X2,X3,X1),X2)|in(esk3_3(X2,X3,X1),X3)|in(esk3_3(X2,X3,X1),X1))).
% 0.12/0.38 cnf(i_0_63, plain, (X38=X38)).
% 0.12/0.38 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.12/0.38 # Begin printing tableau
% 0.12/0.38 # Found 7 steps
% 0.12/0.38 cnf(i_0_21, negated_conjecture, (set_union2(esk7_0,singleton(esk6_0))=empty_set), inference(start_rule)).
% 0.12/0.38 cnf(i_0_74, plain, (set_union2(esk7_0,singleton(esk6_0))=empty_set), inference(extension_rule, [i_0_66])).
% 0.12/0.38 cnf(i_0_204, plain, (set_union2(esk7_0,singleton(esk6_0))!=empty_set), inference(closure_rule, [i_0_21])).
% 0.12/0.38 cnf(i_0_202, plain, (set_union2(esk7_0,singleton(esk6_0))=set_union2(esk7_0,singleton(esk6_0))), inference(extension_rule, [i_0_67])).
% 0.12/0.38 cnf(i_0_242, plain, (in(set_union2(esk7_0,singleton(esk6_0)),empty_set)), inference(closure_rule, [i_0_8])).
% 0.12/0.38 cnf(i_0_244, plain, (set_union2(empty_set,empty_set)!=empty_set), inference(closure_rule, [i_0_18])).
% 0.12/0.38 cnf(i_0_245, plain, (~in(set_union2(esk7_0,singleton(esk6_0)),set_union2(empty_set,empty_set))), inference(etableau_closure_rule, [i_0_245, ...])).
% 0.12/0.38 # End printing tableau
% 0.12/0.38 # SZS output end
% 0.12/0.38 # Branches closed with saturation will be marked with an "s"
% 0.12/0.38 # Child (23203) has found a proof.
% 0.12/0.38
% 0.12/0.38 # Proof search is over...
% 0.12/0.38 # Freeing feature tree
%------------------------------------------------------------------------------