TSTP Solution File: SEU205+1 by Etableau---0.67
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- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SEU205+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n010.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 09:24:45 EDT 2022
% Result : Theorem 2.66s 0.70s
% Output : CNFRefutation 2.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SEU205+1 : TPTP v8.1.0. Released v3.3.0.
% 0.02/0.11 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.11/0.30 % Computer : n010.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 600
% 0.11/0.30 % DateTime : Sun Jun 19 01:24:37 EDT 2022
% 0.11/0.30 % CPUTime :
% 0.15/0.31 # No SInE strategy applied
% 0.15/0.31 # Auto-Mode selected heuristic G_E___300_C18_F1_URBAN_S0Y
% 0.15/0.31 # and selection function SelectMaxLComplexAvoidPosPred.
% 0.15/0.31 #
% 0.15/0.31 # Number of axioms: 48 Number of unprocessed: 48
% 0.15/0.31 # Tableaux proof search.
% 0.15/0.31 # APR header successfully linked.
% 0.15/0.31 # Hello from C++
% 0.15/0.32 # The folding up rule is enabled...
% 0.15/0.32 # Local unification is enabled...
% 0.15/0.32 # Any saturation attempts will use folding labels...
% 0.15/0.32 # 48 beginning clauses after preprocessing and clausification
% 0.15/0.32 # Creating start rules for all 2 conjectures.
% 0.15/0.32 # There are 2 start rule candidates:
% 0.15/0.32 # Found 19 unit axioms.
% 0.15/0.32 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.15/0.32 # 2 start rule tableaux created.
% 0.15/0.32 # 29 extension rule candidate clauses
% 0.15/0.32 # 19 unit axiom clauses
% 0.15/0.32
% 0.15/0.32 # Requested 8, 32 cores available to the main process.
% 0.15/0.32 # There are not enough tableaux to fork, creating more from the initial 2
% 0.15/0.32 # Returning from population with 19 new_tableaux and 0 remaining starting tableaux.
% 0.15/0.32 # We now have 19 tableaux to operate on
% 2.66/0.70 # There were 2 total branch saturation attempts.
% 2.66/0.70 # There were 0 of these attempts blocked.
% 2.66/0.70 # There were 0 deferred branch saturation attempts.
% 2.66/0.70 # There were 0 free duplicated saturations.
% 2.66/0.70 # There were 2 total successful branch saturations.
% 2.66/0.70 # There were 0 successful branch saturations in interreduction.
% 2.66/0.70 # There were 0 successful branch saturations on the branch.
% 2.66/0.70 # There were 2 successful branch saturations after the branch.
% 2.66/0.70 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.66/0.70 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.66/0.70 # Begin clausification derivation
% 2.66/0.70
% 2.66/0.70 # End clausification derivation
% 2.66/0.70 # Begin listing active clauses obtained from FOF to CNF conversion
% 2.66/0.70 cnf(i_0_28, plain, (empty(empty_set))).
% 2.66/0.70 cnf(i_0_33, plain, (empty(empty_set))).
% 2.66/0.70 cnf(i_0_39, plain, (empty(esk6_0))).
% 2.66/0.70 cnf(i_0_40, plain, (empty(esk7_0))).
% 2.66/0.70 cnf(i_0_32, plain, (relation(empty_set))).
% 2.66/0.70 cnf(i_0_38, plain, (relation(esk6_0))).
% 2.66/0.70 cnf(i_0_41, plain, (relation(esk8_0))).
% 2.66/0.70 cnf(i_0_49, negated_conjecture, (relation(esk12_0))).
% 2.66/0.70 cnf(i_0_42, plain, (~empty(esk8_0))).
% 2.66/0.70 cnf(i_0_43, plain, (~empty(esk9_0))).
% 2.66/0.70 cnf(i_0_55, plain, (X1=empty_set|~empty(X1))).
% 2.66/0.70 cnf(i_0_2, plain, (relation(X1)|~empty(X1))).
% 2.66/0.70 cnf(i_0_51, plain, (set_intersection2(X1,empty_set)=empty_set)).
% 2.66/0.70 cnf(i_0_37, plain, (set_intersection2(X1,X1)=X1)).
% 2.66/0.70 cnf(i_0_57, plain, (X1=X2|~empty(X2)|~empty(X1))).
% 2.66/0.70 cnf(i_0_30, plain, (~empty(singleton(X1)))).
% 2.66/0.70 cnf(i_0_36, plain, (empty(relation_dom(X1))|~empty(X1))).
% 2.66/0.70 cnf(i_0_35, plain, (relation(relation_dom(X1))|~empty(X1))).
% 2.66/0.70 cnf(i_0_26, plain, (element(esk5_1(X1),X1))).
% 2.66/0.70 cnf(i_0_3, plain, (unordered_pair(X1,X2)=unordered_pair(X2,X1))).
% 2.66/0.70 cnf(i_0_4, plain, (set_intersection2(X1,X2)=set_intersection2(X2,X1))).
% 2.66/0.70 cnf(i_0_34, plain, (empty(X1)|~relation(X1)|~empty(relation_dom(X1)))).
% 2.66/0.70 cnf(i_0_56, plain, (~empty(X2)|~in(X1,X2))).
% 2.66/0.70 cnf(i_0_50, plain, (element(X1,X2)|~in(X1,X2))).
% 2.66/0.70 cnf(i_0_52, plain, (empty(X2)|in(X1,X2)|~element(X1,X2))).
% 2.66/0.70 cnf(i_0_27, plain, (relation(set_intersection2(X1,X2))|~relation(X2)|~relation(X1))).
% 2.66/0.70 cnf(i_0_1, plain, (~in(X2,X1)|~in(X1,X2))).
% 2.66/0.70 cnf(i_0_31, plain, (~empty(unordered_pair(X1,X2)))).
% 2.66/0.70 cnf(i_0_15, plain, (in(X1,X2)|X3!=set_intersection2(X4,X2)|~in(X1,X3))).
% 2.66/0.70 cnf(i_0_16, plain, (in(X1,X2)|X3!=set_intersection2(X2,X4)|~in(X1,X3))).
% 2.66/0.70 cnf(i_0_48, negated_conjecture, (relation_image(esk12_0,set_intersection2(relation_dom(esk12_0),esk11_0))!=relation_image(esk12_0,esk11_0))).
% 2.66/0.70 cnf(i_0_53, plain, (X1=X2|in(esk13_2(X1,X2),X2)|in(esk13_2(X1,X2),X1))).
% 2.66/0.70 cnf(i_0_14, plain, (in(X1,X4)|X4!=set_intersection2(X2,X3)|~in(X1,X3)|~in(X1,X2))).
% 2.66/0.70 cnf(i_0_54, plain, (X1=X2|~in(esk13_2(X1,X2),X2)|~in(esk13_2(X1,X2),X1))).
% 2.66/0.70 cnf(i_0_29, plain, (~empty(unordered_pair(unordered_pair(X1,X2),singleton(X1))))).
% 2.66/0.70 cnf(i_0_45, plain, (in(esk10_3(X1,X2,X3),X2)|~relation(X3)|~in(X1,relation_image(X3,X2)))).
% 2.66/0.70 cnf(i_0_47, plain, (in(esk10_3(X1,X2,X3),relation_dom(X3))|~relation(X3)|~in(X1,relation_image(X3,X2)))).
% 2.66/0.70 cnf(i_0_8, plain, (in(X2,X5)|X5!=relation_image(X3,X4)|~relation(X3)|~in(X1,X4)|~in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3))).
% 2.66/0.70 cnf(i_0_11, plain, (X3=set_intersection2(X1,X2)|in(esk4_3(X1,X2,X3),X3)|in(esk4_3(X1,X2,X3),X2))).
% 2.66/0.70 cnf(i_0_12, plain, (X3=set_intersection2(X1,X2)|in(esk4_3(X1,X2,X3),X3)|in(esk4_3(X1,X2,X3),X1))).
% 2.66/0.70 cnf(i_0_5, plain, (X3=relation_image(X1,X2)|in(esk2_3(X1,X2,X3),X3)|in(esk3_3(X1,X2,X3),X2)|~relation(X1))).
% 2.66/0.70 cnf(i_0_44, plain, (in(X3,relation_image(X2,X4))|~relation(X2)|~in(X1,X4)|~in(X1,relation_dom(X2))|~in(unordered_pair(unordered_pair(X1,X3),singleton(X1)),X2))).
% 2.66/0.70 cnf(i_0_9, plain, (in(esk1_4(X1,X2,X3,X4),X2)|X3!=relation_image(X1,X2)|~relation(X1)|~in(X4,X3))).
% 2.66/0.70 cnf(i_0_13, plain, (X3=set_intersection2(X1,X2)|~in(esk4_3(X1,X2,X3),X3)|~in(esk4_3(X1,X2,X3),X2)|~in(esk4_3(X1,X2,X3),X1))).
% 2.66/0.70 cnf(i_0_46, plain, (in(unordered_pair(unordered_pair(esk10_3(X1,X2,X3),X1),singleton(esk10_3(X1,X2,X3))),X3)|~relation(X3)|~in(X1,relation_image(X3,X2)))).
% 2.66/0.70 cnf(i_0_7, plain, (X3=relation_image(X1,X2)|~relation(X1)|~in(X4,X2)|~in(esk2_3(X1,X2,X3),X3)|~in(unordered_pair(unordered_pair(X4,esk2_3(X1,X2,X3)),singleton(X4)),X1))).
% 2.66/0.70 cnf(i_0_6, plain, (X3=relation_image(X1,X2)|in(esk2_3(X1,X2,X3),X3)|in(unordered_pair(unordered_pair(esk3_3(X1,X2,X3),esk2_3(X1,X2,X3)),singleton(esk3_3(X1,X2,X3))),X1)|~relation(X1))).
% 2.66/0.70 cnf(i_0_10, plain, (in(unordered_pair(unordered_pair(esk1_4(X1,X2,X3,X4),X4),singleton(esk1_4(X1,X2,X3,X4))),X1)|X3!=relation_image(X1,X2)|~relation(X1)|~in(X4,X3))).
% 2.66/0.70 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 2.66/0.70 # Begin printing tableau
% 2.66/0.70 # Found 8 steps
% 2.66/0.70 cnf(i_0_48, negated_conjecture, (relation_image(esk12_0,set_intersection2(relation_dom(esk12_0),esk11_0))!=relation_image(esk12_0,esk11_0)), inference(start_rule)).
% 2.66/0.70 cnf(i_0_58, plain, (relation_image(esk12_0,set_intersection2(relation_dom(esk12_0),esk11_0))!=relation_image(esk12_0,esk11_0)), inference(extension_rule, [i_0_5])).
% 2.66/0.70 cnf(i_0_122, plain, (~relation(esk12_0)), inference(closure_rule, [i_0_49])).
% 2.66/0.70 cnf(i_0_120, plain, (in(esk2_3(esk12_0,esk11_0,relation_image(esk12_0,set_intersection2(relation_dom(esk12_0),esk11_0))),relation_image(esk12_0,set_intersection2(relation_dom(esk12_0),esk11_0)))), inference(extension_rule, [i_0_14])).
% 2.66/0.70 cnf(i_0_7251, plain, (set_intersection2(set_intersection2(relation_image(esk12_0,set_intersection2(relation_dom(esk12_0),esk11_0)),relation_image(esk12_0,set_intersection2(relation_dom(esk12_0),esk11_0))),set_intersection2(relation_image(esk12_0,set_intersection2(relation_dom(esk12_0),esk11_0)),relation_image(esk12_0,set_intersection2(relation_dom(esk12_0),esk11_0))))!=set_intersection2(relation_image(esk12_0,set_intersection2(relation_dom(esk12_0),esk11_0)),relation_image(esk12_0,set_intersection2(relation_dom(esk12_0),esk11_0)))), inference(closure_rule, [i_0_37])).
% 2.66/0.70 cnf(i_0_7253, plain, (~in(esk2_3(esk12_0,esk11_0,relation_image(esk12_0,set_intersection2(relation_dom(esk12_0),esk11_0))),relation_image(esk12_0,set_intersection2(relation_dom(esk12_0),esk11_0)))), inference(closure_rule, [i_0_120])).
% 2.66/0.70 cnf(i_0_121, plain, (in(esk3_3(esk12_0,esk11_0,relation_image(esk12_0,set_intersection2(relation_dom(esk12_0),esk11_0))),esk11_0)), inference(etableau_closure_rule, [i_0_121, ...])).
% 2.66/0.70 cnf(i_0_7250, plain, (in(esk2_3(esk12_0,esk11_0,relation_image(esk12_0,set_intersection2(relation_dom(esk12_0),esk11_0))),set_intersection2(set_intersection2(relation_image(esk12_0,set_intersection2(relation_dom(esk12_0),esk11_0)),relation_image(esk12_0,set_intersection2(relation_dom(esk12_0),esk11_0))),set_intersection2(relation_image(esk12_0,set_intersection2(relation_dom(esk12_0),esk11_0)),relation_image(esk12_0,set_intersection2(relation_dom(esk12_0),esk11_0)))))), inference(etableau_closure_rule, [i_0_7250, ...])).
% 2.66/0.70 # End printing tableau
% 2.66/0.70 # SZS output end
% 2.66/0.70 # Branches closed with saturation will be marked with an "s"
% 2.66/0.71 # Child (17528) has found a proof.
% 2.66/0.71
% 2.66/0.71 # Proof search is over...
% 2.66/0.71 # Freeing feature tree
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