TSTP Solution File: SET950+1 by Etableau---0.67
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%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SET950+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 : 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 01:04:04 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 : SET950+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
% 0.12/0.33 % 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 : Sun Jul 10 03:17:08 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: 20 Number of unprocessed: 20
% 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 # 20 beginning clauses after preprocessing and clausification
% 0.12/0.37 # Creating start rules for all 3 conjectures.
% 0.12/0.37 # There are 3 start rule candidates:
% 0.12/0.37 # Found 7 unit axioms.
% 0.12/0.37 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.12/0.37 # 3 start rule tableaux created.
% 0.12/0.37 # 13 extension rule candidate clauses
% 0.12/0.37 # 7 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 3
% 0.12/0.37 # Returning from population with 11 new_tableaux and 0 remaining starting tableaux.
% 0.12/0.37 # We now have 11 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/sandbox/benchmark/theBenchmark.p
% 0.12/0.38 # SZS output start for /export/starexec/sandbox/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_20, negated_conjecture, (in(esk12_0,esk9_0))).
% 0.12/0.38 cnf(i_0_21, negated_conjecture, (subset(esk9_0,cartesian_product2(esk10_0,esk11_0)))).
% 0.12/0.38 cnf(i_0_16, plain, (empty(esk7_0))).
% 0.12/0.38 cnf(i_0_18, plain, (subset(X1,X1))).
% 0.12/0.38 cnf(i_0_2, plain, (unordered_pair(X1,X2)=unordered_pair(X2,X1))).
% 0.12/0.38 cnf(i_0_17, plain, (~empty(esk8_0))).
% 0.12/0.38 cnf(i_0_15, plain, (~empty(unordered_pair(unordered_pair(X1,X2),singleton(X1))))).
% 0.12/0.38 cnf(i_0_12, plain, (subset(X1,X2)|in(esk6_2(X1,X2),X1))).
% 0.12/0.38 cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))).
% 0.12/0.38 cnf(i_0_11, plain, (subset(X1,X2)|~in(esk6_2(X1,X2),X2))).
% 0.12/0.38 cnf(i_0_13, plain, (in(X1,X2)|~subset(X3,X2)|~in(X1,X3))).
% 0.12/0.38 cnf(i_0_19, negated_conjecture, (unordered_pair(unordered_pair(X1,X2),singleton(X1))!=esk12_0|~in(X2,esk11_0)|~in(X1,esk10_0))).
% 0.12/0.38 cnf(i_0_10, plain, (in(esk1_4(X1,X2,cartesian_product2(X1,X2),X3),X1)|~in(X3,cartesian_product2(X1,X2)))).
% 0.12/0.38 cnf(i_0_9, plain, (in(esk2_4(X1,X2,cartesian_product2(X1,X2),X3),X2)|~in(X3,cartesian_product2(X1,X2)))).
% 0.12/0.38 cnf(i_0_7, plain, (in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),cartesian_product2(X3,X4))|~in(X2,X4)|~in(X1,X3))).
% 0.12/0.38 cnf(i_0_6, plain, (X1=cartesian_product2(X2,X3)|esk3_3(X2,X3,X1)!=unordered_pair(unordered_pair(X4,X5),singleton(X4))|~in(esk3_3(X2,X3,X1),X1)|~in(X5,X3)|~in(X4,X2))).
% 0.12/0.38 cnf(i_0_5, plain, (X1=cartesian_product2(X2,X3)|in(esk4_3(X2,X3,X1),X2)|in(esk3_3(X2,X3,X1),X1))).
% 0.12/0.38 cnf(i_0_4, plain, (X1=cartesian_product2(X2,X3)|in(esk5_3(X2,X3,X1),X3)|in(esk3_3(X2,X3,X1),X1))).
% 0.12/0.38 cnf(i_0_3, plain, (unordered_pair(singleton(esk4_3(X1,X2,X3)),unordered_pair(esk4_3(X1,X2,X3),esk5_3(X1,X2,X3)))=esk3_3(X1,X2,X3)|X3=cartesian_product2(X1,X2)|in(esk3_3(X1,X2,X3),X3))).
% 0.12/0.38 cnf(i_0_8, plain, (unordered_pair(singleton(esk1_4(X1,X2,cartesian_product2(X1,X2),X3)),unordered_pair(esk1_4(X1,X2,cartesian_product2(X1,X2),X3),esk2_4(X1,X2,cartesian_product2(X1,X2),X3)))=X3|~in(X3,cartesian_product2(X1,X2)))).
% 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_21, negated_conjecture, (subset(esk9_0,cartesian_product2(esk10_0,esk11_0))), inference(start_rule)).
% 0.12/0.38 cnf(i_0_30, plain, (subset(esk9_0,cartesian_product2(esk10_0,esk11_0))), inference(extension_rule, [i_0_13])).
% 0.12/0.38 cnf(i_0_110, plain, (~in(esk12_0,esk9_0)), inference(closure_rule, [i_0_20])).
% 0.12/0.38 cnf(i_0_108, plain, (in(esk12_0,cartesian_product2(esk10_0,esk11_0))), inference(extension_rule, [i_0_1])).
% 0.12/0.38 cnf(i_0_114, plain, (~in(cartesian_product2(esk10_0,esk11_0),esk12_0)), inference(etableau_closure_rule, [i_0_114, ...])).
% 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/sandbox/benchmark/theBenchmark.p
% 0.12/0.38 # SZS output start for /export/starexec/sandbox/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_20, negated_conjecture, (in(esk12_0,esk9_0))).
% 0.12/0.38 cnf(i_0_21, negated_conjecture, (subset(esk9_0,cartesian_product2(esk10_0,esk11_0)))).
% 0.12/0.38 cnf(i_0_16, plain, (empty(esk7_0))).
% 0.12/0.38 cnf(i_0_18, plain, (subset(X1,X1))).
% 0.12/0.38 cnf(i_0_2, plain, (unordered_pair(X1,X2)=unordered_pair(X2,X1))).
% 0.12/0.38 cnf(i_0_17, plain, (~empty(esk8_0))).
% 0.12/0.38 cnf(i_0_15, plain, (~empty(unordered_pair(unordered_pair(X1,X2),singleton(X1))))).
% 0.12/0.38 cnf(i_0_12, plain, (subset(X1,X2)|in(esk6_2(X1,X2),X1))).
% 0.12/0.38 cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))).
% 0.12/0.38 cnf(i_0_11, plain, (subset(X1,X2)|~in(esk6_2(X1,X2),X2))).
% 0.12/0.38 cnf(i_0_13, plain, (in(X1,X2)|~subset(X3,X2)|~in(X1,X3))).
% 0.12/0.38 cnf(i_0_19, negated_conjecture, (unordered_pair(unordered_pair(X1,X2),singleton(X1))!=esk12_0|~in(X2,esk11_0)|~in(X1,esk10_0))).
% 0.12/0.38 cnf(i_0_10, plain, (in(esk1_4(X1,X2,cartesian_product2(X1,X2),X3),X1)|~in(X3,cartesian_product2(X1,X2)))).
% 0.12/0.38 cnf(i_0_9, plain, (in(esk2_4(X1,X2,cartesian_product2(X1,X2),X3),X2)|~in(X3,cartesian_product2(X1,X2)))).
% 0.12/0.38 cnf(i_0_7, plain, (in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),cartesian_product2(X3,X4))|~in(X2,X4)|~in(X1,X3))).
% 0.12/0.38 cnf(i_0_6, plain, (X1=cartesian_product2(X2,X3)|esk3_3(X2,X3,X1)!=unordered_pair(unordered_pair(X4,X5),singleton(X4))|~in(esk3_3(X2,X3,X1),X1)|~in(X5,X3)|~in(X4,X2))).
% 0.12/0.38 cnf(i_0_5, plain, (X1=cartesian_product2(X2,X3)|in(esk4_3(X2,X3,X1),X2)|in(esk3_3(X2,X3,X1),X1))).
% 0.12/0.38 cnf(i_0_4, plain, (X1=cartesian_product2(X2,X3)|in(esk5_3(X2,X3,X1),X3)|in(esk3_3(X2,X3,X1),X1))).
% 0.12/0.38 cnf(i_0_3, plain, (unordered_pair(singleton(esk4_3(X1,X2,X3)),unordered_pair(esk4_3(X1,X2,X3),esk5_3(X1,X2,X3)))=esk3_3(X1,X2,X3)|X3=cartesian_product2(X1,X2)|in(esk3_3(X1,X2,X3),X3))).
% 0.12/0.38 cnf(i_0_8, plain, (unordered_pair(singleton(esk1_4(X1,X2,cartesian_product2(X1,X2),X3)),unordered_pair(esk1_4(X1,X2,cartesian_product2(X1,X2),X3),esk2_4(X1,X2,cartesian_product2(X1,X2),X3)))=X3|~in(X3,cartesian_product2(X1,X2)))).
% 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_20, negated_conjecture, (in(esk12_0,esk9_0)), inference(start_rule)).
% 0.12/0.38 cnf(i_0_31, plain, (in(esk12_0,esk9_0)), inference(extension_rule, [i_0_7])).
% 0.12/0.38 cnf(i_0_193, plain, (~in(esk12_0,esk9_0)), inference(closure_rule, [i_0_20])).
% 0.12/0.38 cnf(i_0_191, plain, (in(unordered_pair(unordered_pair(esk12_0,esk12_0),singleton(esk12_0)),cartesian_product2(esk9_0,esk9_0))), inference(extension_rule, [i_0_10])).
% 0.12/0.38 cnf(i_0_198, plain, (in(esk1_4(esk9_0,esk9_0,cartesian_product2(esk9_0,esk9_0),unordered_pair(unordered_pair(esk12_0,esk12_0),singleton(esk12_0))),esk9_0)), inference(etableau_closure_rule, [i_0_198, ...])).
% 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 (8966) has found a proof.
% 0.12/0.38
% 0.12/0.38 # Proof search is over...
% 0.12/0.38 # Freeing feature tree
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