TSTP Solution File: SET906+1 by Etableau---0.67
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- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SET906+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 : n016.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 01:03:43 EDT 2022
% Result : Theorem 0.21s 0.39s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET906+1 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.14 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.14/0.36 % Computer : n016.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sun Jul 10 23:03:42 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.39 # No SInE strategy applied
% 0.14/0.39 # Auto-Mode selected heuristic G_E___300_C01_F1_SE_CS_SP_S0Y
% 0.14/0.39 # and selection function SelectMaxLComplexAvoidPosPred.
% 0.14/0.39 #
% 0.14/0.39 # Number of axioms: 26 Number of unprocessed: 26
% 0.14/0.39 # Tableaux proof search.
% 0.14/0.39 # APR header successfully linked.
% 0.14/0.39 # Hello from C++
% 0.14/0.39 # The folding up rule is enabled...
% 0.14/0.39 # Local unification is enabled...
% 0.14/0.39 # Any saturation attempts will use folding labels...
% 0.14/0.39 # 26 beginning clauses after preprocessing and clausification
% 0.14/0.39 # Creating start rules for all 2 conjectures.
% 0.14/0.39 # There are 2 start rule candidates:
% 0.14/0.39 # Found 8 unit axioms.
% 0.14/0.39 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.14/0.39 # 2 start rule tableaux created.
% 0.14/0.39 # 18 extension rule candidate clauses
% 0.14/0.39 # 8 unit axiom clauses
% 0.14/0.39
% 0.14/0.39 # Requested 8, 32 cores available to the main process.
% 0.14/0.39 # There are not enough tableaux to fork, creating more from the initial 2
% 0.14/0.39 # Returning from population with 8 new_tableaux and 0 remaining starting tableaux.
% 0.14/0.39 # We now have 8 tableaux to operate on
% 0.21/0.39 # There were 1 total branch saturation attempts.
% 0.21/0.39 # There were 0 of these attempts blocked.
% 0.21/0.39 # There were 0 deferred branch saturation attempts.
% 0.21/0.39 # There were 0 free duplicated saturations.
% 0.21/0.39 # There were 1 total successful branch saturations.
% 0.21/0.39 # There were 0 successful branch saturations in interreduction.
% 0.21/0.39 # There were 0 successful branch saturations on the branch.
% 0.21/0.39 # There were 1 successful branch saturations after the branch.
% 0.21/0.39 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.39 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.39 # Begin clausification derivation
% 0.21/0.39
% 0.21/0.39 # End clausification derivation
% 0.21/0.39 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.21/0.39 cnf(i_0_22, plain, (empty(esk4_0))).
% 0.21/0.39 cnf(i_0_23, plain, (~empty(esk5_0))).
% 0.21/0.39 cnf(i_0_24, plain, (subset(X1,X1))).
% 0.21/0.39 cnf(i_0_21, plain, (set_union2(X1,X1)=X1)).
% 0.21/0.39 cnf(i_0_25, negated_conjecture, (~in(esk6_0,esk8_0))).
% 0.21/0.39 cnf(i_0_2, plain, (unordered_pair(X1,X2)=unordered_pair(X2,X1))).
% 0.21/0.39 cnf(i_0_3, plain, (set_union2(X1,X2)=set_union2(X2,X1))).
% 0.21/0.39 cnf(i_0_7, plain, (in(X1,X3)|X1!=X2|X3!=unordered_pair(X4,X2))).
% 0.21/0.39 cnf(i_0_8, plain, (in(X1,X3)|X1!=X2|X3!=unordered_pair(X2,X4))).
% 0.21/0.39 cnf(i_0_1, plain, (~in(X2,X1)|~in(X1,X2))).
% 0.21/0.39 cnf(i_0_9, plain, (X1=X4|X1=X3|X2!=unordered_pair(X3,X4)|~in(X1,X2))).
% 0.21/0.39 cnf(i_0_20, plain, (empty(X1)|~empty(set_union2(X2,X1)))).
% 0.21/0.39 cnf(i_0_19, plain, (empty(X1)|~empty(set_union2(X1,X2)))).
% 0.21/0.39 cnf(i_0_17, plain, (subset(X1,X2)|in(esk3_2(X1,X2),X1))).
% 0.21/0.39 cnf(i_0_18, plain, (in(X3,X2)|~in(X3,X1)|~subset(X1,X2))).
% 0.21/0.39 cnf(i_0_13, plain, (in(X1,X3)|X3!=set_union2(X4,X2)|~in(X1,X2))).
% 0.21/0.39 cnf(i_0_14, plain, (in(X1,X3)|X3!=set_union2(X2,X4)|~in(X1,X2))).
% 0.21/0.39 cnf(i_0_26, negated_conjecture, (subset(set_union2(unordered_pair(esk6_0,esk7_0),esk8_0),esk8_0))).
% 0.21/0.39 cnf(i_0_15, plain, (in(X1,X4)|in(X1,X3)|X2!=set_union2(X3,X4)|~in(X1,X2))).
% 0.21/0.39 cnf(i_0_16, plain, (subset(X1,X2)|~in(esk3_2(X1,X2),X2))).
% 0.21/0.39 cnf(i_0_4, plain, (X3=unordered_pair(X1,X2)|esk1_3(X1,X2,X3)=X2|esk1_3(X1,X2,X3)=X1|in(esk1_3(X1,X2,X3),X3))).
% 0.21/0.39 cnf(i_0_5, plain, (X3=unordered_pair(X1,X2)|esk1_3(X1,X2,X3)!=X2|~in(esk1_3(X1,X2,X3),X3))).
% 0.21/0.39 cnf(i_0_6, plain, (X3=unordered_pair(X1,X2)|esk1_3(X1,X2,X3)!=X1|~in(esk1_3(X1,X2,X3),X3))).
% 0.21/0.39 cnf(i_0_10, plain, (X3=set_union2(X1,X2)|in(esk2_3(X1,X2,X3),X3)|in(esk2_3(X1,X2,X3),X2)|in(esk2_3(X1,X2,X3),X1))).
% 0.21/0.39 cnf(i_0_11, plain, (X3=set_union2(X1,X2)|~in(esk2_3(X1,X2,X3),X3)|~in(esk2_3(X1,X2,X3),X2))).
% 0.21/0.39 cnf(i_0_12, plain, (X3=set_union2(X1,X2)|~in(esk2_3(X1,X2,X3),X3)|~in(esk2_3(X1,X2,X3),X1))).
% 0.21/0.39 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.21/0.39 # Begin printing tableau
% 0.21/0.39 # Found 7 steps
% 0.21/0.39 cnf(i_0_25, negated_conjecture, (~in(esk6_0,esk8_0)), inference(start_rule)).
% 0.21/0.39 cnf(i_0_28, plain, (~in(esk6_0,esk8_0)), inference(extension_rule, [i_0_15])).
% 0.21/0.39 cnf(i_0_109, plain, (in(esk6_0,esk8_0)), inference(closure_rule, [i_0_25])).
% 0.21/0.39 cnf(i_0_111, plain, (set_union2(set_union2(esk8_0,esk8_0),set_union2(esk8_0,esk8_0))!=set_union2(esk8_0,esk8_0)), inference(closure_rule, [i_0_21])).
% 0.21/0.39 cnf(i_0_112, plain, (~in(esk6_0,set_union2(set_union2(esk8_0,esk8_0),set_union2(esk8_0,esk8_0)))), inference(extension_rule, [i_0_7])).
% 0.21/0.39 cnf(i_0_136, plain, (esk6_0!=set_union2(esk6_0,esk6_0)), inference(closure_rule, [i_0_21])).
% 0.21/0.39 cnf(i_0_137, plain, (set_union2(set_union2(esk8_0,esk8_0),set_union2(esk8_0,esk8_0))!=unordered_pair(X8,set_union2(esk6_0,esk6_0))), inference(etableau_closure_rule, [i_0_137, ...])).
% 0.21/0.39 # End printing tableau
% 0.21/0.39 # SZS output end
% 0.21/0.39 # Branches closed with saturation will be marked with an "s"
% 0.21/0.39 # There were 1 total branch saturation attempts.
% 0.21/0.39 # There were 0 of these attempts blocked.
% 0.21/0.39 # There were 0 deferred branch saturation attempts.
% 0.21/0.39 # There were 0 free duplicated saturations.
% 0.21/0.39 # There were 1 total successful branch saturations.
% 0.21/0.39 # There were 0 successful branch saturations in interreduction.
% 0.21/0.39 # There were 0 successful branch saturations on the branch.
% 0.21/0.39 # There were 1 successful branch saturations after the branch.
% 0.21/0.39 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.39 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.39 # Begin clausification derivation
% 0.21/0.39
% 0.21/0.39 # End clausification derivation
% 0.21/0.39 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.21/0.39 cnf(i_0_22, plain, (empty(esk4_0))).
% 0.21/0.39 cnf(i_0_23, plain, (~empty(esk5_0))).
% 0.21/0.39 cnf(i_0_24, plain, (subset(X1,X1))).
% 0.21/0.39 cnf(i_0_21, plain, (set_union2(X1,X1)=X1)).
% 0.21/0.39 cnf(i_0_25, negated_conjecture, (~in(esk6_0,esk8_0))).
% 0.21/0.39 cnf(i_0_2, plain, (unordered_pair(X1,X2)=unordered_pair(X2,X1))).
% 0.21/0.39 cnf(i_0_3, plain, (set_union2(X1,X2)=set_union2(X2,X1))).
% 0.21/0.39 cnf(i_0_7, plain, (in(X1,X3)|X1!=X2|X3!=unordered_pair(X4,X2))).
% 0.21/0.39 cnf(i_0_8, plain, (in(X1,X3)|X1!=X2|X3!=unordered_pair(X2,X4))).
% 0.21/0.39 cnf(i_0_1, plain, (~in(X2,X1)|~in(X1,X2))).
% 0.21/0.39 cnf(i_0_9, plain, (X1=X4|X1=X3|X2!=unordered_pair(X3,X4)|~in(X1,X2))).
% 0.21/0.39 cnf(i_0_20, plain, (empty(X1)|~empty(set_union2(X2,X1)))).
% 0.21/0.39 cnf(i_0_19, plain, (empty(X1)|~empty(set_union2(X1,X2)))).
% 0.21/0.39 cnf(i_0_17, plain, (subset(X1,X2)|in(esk3_2(X1,X2),X1))).
% 0.21/0.39 cnf(i_0_18, plain, (in(X3,X2)|~in(X3,X1)|~subset(X1,X2))).
% 0.21/0.39 cnf(i_0_13, plain, (in(X1,X3)|X3!=set_union2(X4,X2)|~in(X1,X2))).
% 0.21/0.39 cnf(i_0_14, plain, (in(X1,X3)|X3!=set_union2(X2,X4)|~in(X1,X2))).
% 0.21/0.39 cnf(i_0_26, negated_conjecture, (subset(set_union2(unordered_pair(esk6_0,esk7_0),esk8_0),esk8_0))).
% 0.21/0.39 cnf(i_0_15, plain, (in(X1,X4)|in(X1,X3)|X2!=set_union2(X3,X4)|~in(X1,X2))).
% 0.21/0.39 cnf(i_0_16, plain, (subset(X1,X2)|~in(esk3_2(X1,X2),X2))).
% 0.21/0.39 cnf(i_0_4, plain, (X3=unordered_pair(X1,X2)|esk1_3(X1,X2,X3)=X2|esk1_3(X1,X2,X3)=X1|in(esk1_3(X1,X2,X3),X3))).
% 0.21/0.39 cnf(i_0_5, plain, (X3=unordered_pair(X1,X2)|esk1_3(X1,X2,X3)!=X2|~in(esk1_3(X1,X2,X3),X3))).
% 0.21/0.39 cnf(i_0_6, plain, (X3=unordered_pair(X1,X2)|esk1_3(X1,X2,X3)!=X1|~in(esk1_3(X1,X2,X3),X3))).
% 0.21/0.39 cnf(i_0_10, plain, (X3=set_union2(X1,X2)|in(esk2_3(X1,X2,X3),X3)|in(esk2_3(X1,X2,X3),X2)|in(esk2_3(X1,X2,X3),X1))).
% 0.21/0.39 cnf(i_0_11, plain, (X3=set_union2(X1,X2)|~in(esk2_3(X1,X2,X3),X3)|~in(esk2_3(X1,X2,X3),X2))).
% 0.21/0.39 cnf(i_0_12, plain, (X3=set_union2(X1,X2)|~in(esk2_3(X1,X2,X3),X3)|~in(esk2_3(X1,X2,X3),X1))).
% 0.21/0.39 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.21/0.39 # Begin printing tableau
% 0.21/0.39 # Found 7 steps
% 0.21/0.39 cnf(i_0_25, negated_conjecture, (~in(esk6_0,esk8_0)), inference(start_rule)).
% 0.21/0.39 cnf(i_0_28, plain, (~in(esk6_0,esk8_0)), inference(extension_rule, [i_0_15])).
% 0.21/0.39 cnf(i_0_110, plain, (in(esk6_0,esk8_0)), inference(closure_rule, [i_0_25])).
% 0.21/0.39 cnf(i_0_111, plain, (set_union2(set_union2(esk8_0,esk8_0),set_union2(esk8_0,esk8_0))!=set_union2(esk8_0,esk8_0)), inference(closure_rule, [i_0_21])).
% 0.21/0.39 cnf(i_0_112, plain, (~in(esk6_0,set_union2(set_union2(esk8_0,esk8_0),set_union2(esk8_0,esk8_0)))), inference(extension_rule, [i_0_7])).
% 0.21/0.39 cnf(i_0_136, plain, (esk6_0!=set_union2(esk6_0,esk6_0)), inference(closure_rule, [i_0_21])).
% 0.21/0.39 cnf(i_0_137, plain, (set_union2(set_union2(esk8_0,esk8_0),set_union2(esk8_0,esk8_0))!=unordered_pair(X8,set_union2(esk6_0,esk6_0))), inference(etableau_closure_rule, [i_0_137, ...])).
% 0.21/0.39 # End printing tableau
% 0.21/0.39 # SZS output end
% 0.21/0.39 # Branches closed with saturation will be marked with an "s"
% 0.21/0.39 # There were 1 total branch saturation attempts.
% 0.21/0.39 # There were 0 of these attempts blocked.
% 0.21/0.39 # There were 0 deferred branch saturation attempts.
% 0.21/0.39 # There were 0 free duplicated saturations.
% 0.21/0.39 # There were 1 total successful branch saturations.
% 0.21/0.39 # There were 0 successful branch saturations in interreduction.
% 0.21/0.39 # There were 0 successful branch saturations on the branch.
% 0.21/0.39 # There were 1 successful branch saturations after the branch.
% 0.21/0.39 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.39 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.39 # Begin clausification derivation
% 0.21/0.39
% 0.21/0.39 # End clausification derivation
% 0.21/0.39 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.21/0.39 cnf(i_0_22, plain, (empty(esk4_0))).
% 0.21/0.39 cnf(i_0_23, plain, (~empty(esk5_0))).
% 0.21/0.39 cnf(i_0_24, plain, (subset(X1,X1))).
% 0.21/0.39 cnf(i_0_21, plain, (set_union2(X1,X1)=X1)).
% 0.21/0.39 cnf(i_0_25, negated_conjecture, (~in(esk6_0,esk8_0))).
% 0.21/0.39 cnf(i_0_2, plain, (unordered_pair(X1,X2)=unordered_pair(X2,X1))).
% 0.21/0.39 cnf(i_0_3, plain, (set_union2(X1,X2)=set_union2(X2,X1))).
% 0.21/0.39 cnf(i_0_7, plain, (in(X1,X3)|X1!=X2|X3!=unordered_pair(X4,X2))).
% 0.21/0.39 cnf(i_0_8, plain, (in(X1,X3)|X1!=X2|X3!=unordered_pair(X2,X4))).
% 0.21/0.39 cnf(i_0_1, plain, (~in(X2,X1)|~in(X1,X2))).
% 0.21/0.39 cnf(i_0_9, plain, (X1=X4|X1=X3|X2!=unordered_pair(X3,X4)|~in(X1,X2))).
% 0.21/0.39 cnf(i_0_20, plain, (empty(X1)|~empty(set_union2(X2,X1)))).
% 0.21/0.39 cnf(i_0_19, plain, (empty(X1)|~empty(set_union2(X1,X2)))).
% 0.21/0.39 cnf(i_0_17, plain, (subset(X1,X2)|in(esk3_2(X1,X2),X1))).
% 0.21/0.39 cnf(i_0_18, plain, (in(X3,X2)|~in(X3,X1)|~subset(X1,X2))).
% 0.21/0.39 cnf(i_0_13, plain, (in(X1,X3)|X3!=set_union2(X4,X2)|~in(X1,X2))).
% 0.21/0.39 cnf(i_0_14, plain, (in(X1,X3)|X3!=set_union2(X2,X4)|~in(X1,X2))).
% 0.21/0.39 cnf(i_0_26, negated_conjecture, (subset(set_union2(unordered_pair(esk6_0,esk7_0),esk8_0),esk8_0))).
% 0.21/0.39 cnf(i_0_15, plain, (in(X1,X4)|in(X1,X3)|X2!=set_union2(X3,X4)|~in(X1,X2))).
% 0.21/0.39 cnf(i_0_16, plain, (subset(X1,X2)|~in(esk3_2(X1,X2),X2))).
% 0.21/0.39 cnf(i_0_4, plain, (X3=unordered_pair(X1,X2)|esk1_3(X1,X2,X3)=X2|esk1_3(X1,X2,X3)=X1|in(esk1_3(X1,X2,X3),X3))).
% 0.21/0.39 cnf(i_0_5, plain, (X3=unordered_pair(X1,X2)|esk1_3(X1,X2,X3)!=X2|~in(esk1_3(X1,X2,X3),X3))).
% 0.21/0.39 cnf(i_0_6, plain, (X3=unordered_pair(X1,X2)|esk1_3(X1,X2,X3)!=X1|~in(esk1_3(X1,X2,X3),X3))).
% 0.21/0.39 cnf(i_0_10, plain, (X3=set_union2(X1,X2)|in(esk2_3(X1,X2,X3),X3)|in(esk2_3(X1,X2,X3),X2)|in(esk2_3(X1,X2,X3),X1))).
% 0.21/0.39 cnf(i_0_11, plain, (X3=set_union2(X1,X2)|~in(esk2_3(X1,X2,X3),X3)|~in(esk2_3(X1,X2,X3),X2))).
% 0.21/0.39 cnf(i_0_12, plain, (X3=set_union2(X1,X2)|~in(esk2_3(X1,X2,X3),X3)|~in(esk2_3(X1,X2,X3),X1))).
% 0.21/0.39 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.21/0.39 # Begin printing tableau
% 0.21/0.39 # Found 6 steps
% 0.21/0.39 cnf(i_0_25, negated_conjecture, (~in(esk6_0,esk8_0)), inference(start_rule)).
% 0.21/0.39 cnf(i_0_28, plain, (~in(esk6_0,esk8_0)), inference(extension_rule, [i_0_13])).
% 0.21/0.39 cnf(i_0_105, plain, (~in(esk6_0,esk8_0)), inference(extension_rule, [i_0_7])).
% 0.21/0.39 cnf(i_0_104, plain, (set_union2(esk8_0,esk8_0)!=esk8_0), inference(closure_rule, [i_0_21])).
% 0.21/0.39 cnf(i_0_136, plain, (esk6_0!=set_union2(esk6_0,esk6_0)), inference(closure_rule, [i_0_21])).
% 0.21/0.39 cnf(i_0_137, plain, (esk8_0!=unordered_pair(X10,set_union2(esk6_0,esk6_0))), inference(etableau_closure_rule, [i_0_137, ...])).
% 0.21/0.39 # End printing tableau
% 0.21/0.39 # SZS output end
% 0.21/0.39 # Branches closed with saturation will be marked with an "s"
% 0.21/0.39 # There were 1 total branch saturation attempts.
% 0.21/0.39 # There were 0 of these attempts blocked.
% 0.21/0.39 # There were 0 deferred branch saturation attempts.
% 0.21/0.39 # There were 0 free duplicated saturations.
% 0.21/0.39 # There were 1 total successful branch saturations.
% 0.21/0.39 # There were 0 successful branch saturations in interreduction.
% 0.21/0.39 # There were 0 successful branch saturations on the branch.
% 0.21/0.39 # There were 1 successful branch saturations after the branch.
% 0.21/0.39 # There were 1 total branch saturation attempts.
% 0.21/0.39 # There were 0 of these attempts blocked.
% 0.21/0.39 # There were 0 deferred branch saturation attempts.
% 0.21/0.39 # There were 0 free duplicated saturations.
% 0.21/0.39 # There were 1 total successful branch saturations.
% 0.21/0.39 # There were 0 successful branch saturations in interreduction.
% 0.21/0.39 # There were 0 successful branch saturations on the branch.
% 0.21/0.39 # There were 1 successful branch saturations after the branch.
% 0.21/0.39 # Child (15382) has found a proof.
% 0.21/0.39 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.39 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.39 # Begin clausification derivation
% 0.21/0.39
% 0.21/0.39 # End clausification derivation
% 0.21/0.39 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.21/0.39 cnf(i_0_22, plain, (empty(esk4_0))).
% 0.21/0.39 cnf(i_0_23, plain, (~empty(esk5_0))).
% 0.21/0.39 cnf(i_0_24, plain, (subset(X1,X1))).
% 0.21/0.39 cnf(i_0_21, plain, (set_union2(X1,X1)=X1)).
% 0.21/0.39 cnf(i_0_25, negated_conjecture, (~in(esk6_0,esk8_0))).
% 0.21/0.39 cnf(i_0_2, plain, (unordered_pair(X1,X2)=unordered_pair(X2,X1))).
% 0.21/0.39 cnf(i_0_3, plain, (set_union2(X1,X2)=set_union2(X2,X1))).
% 0.21/0.39 cnf(i_0_7, plain, (in(X1,X3)|X1!=X2|X3!=unordered_pair(X4,X2))).
% 0.21/0.39 cnf(i_0_8, plain, (in(X1,X3)|X1!=X2|X3!=unordered_pair(X2,X4))).
% 0.21/0.39 cnf(i_0_1, plain, (~in(X2,X1)|~in(X1,X2))).
% 0.21/0.39 cnf(i_0_9, plain, (X1=X4|X1=X3|X2!=unordered_pair(X3,X4)|~in(X1,X2))).
% 0.21/0.39 cnf(i_0_20, plain, (empty(X1)|~empty(set_union2(X2,X1)))).
% 0.21/0.39 cnf(i_0_19, plain, (empty(X1)|~empty(set_union2(X1,X2)))).
% 0.21/0.39 cnf(i_0_17, plain, (subset(X1,X2)|in(esk3_2(X1,X2),X1))).
% 0.21/0.39 cnf(i_0_18, plain, (in(X3,X2)|~in(X3,X1)|~subset(X1,X2))).
% 0.21/0.39 cnf(i_0_13, plain, (in(X1,X3)|X3!=set_union2(X4,X2)|~in(X1,X2))).
% 0.21/0.39 cnf(i_0_14, plain, (in(X1,X3)|X3!=set_union2(X2,X4)|~in(X1,X2))).
% 0.21/0.39 cnf(i_0_26, negated_conjecture, (subset(set_union2(unordered_pair(esk6_0,esk7_0),esk8_0),esk8_0))).
% 0.21/0.39 cnf(i_0_15, plain, (in(X1,X4)|in(X1,X3)|X2!=set_union2(X3,X4)|~in(X1,X2))).
% 0.21/0.39 cnf(i_0_16, plain, (subset(X1,X2)|~in(esk3_2(X1,X2),X2))).
% 0.21/0.39 cnf(i_0_4, plain, (X3=unordered_pair(X1,X2)|esk1_3(X1,X2,X3)=X2|esk1_3(X1,X2,X3)=X1|in(esk1_3(X1,X2,X3),X3))).
% 0.21/0.39 cnf(i_0_5, plain, (X3=unordered_pair(X1,X2)|esk1_3(X1,X2,X3)!=X2|~in(esk1_3(X1,X2,X3),X3))).
% 0.21/0.39 cnf(i_0_6, plain, (X3=unordered_pair(X1,X2)|esk1_3(X1,X2,X3)!=X1|~in(esk1_3(X1,X2,X3),X3))).
% 0.21/0.39 cnf(i_0_10, plain, (X3=set_union2(X1,X2)|in(esk2_3(X1,X2,X3),X3)|in(esk2_3(X1,X2,X3),X2)|in(esk2_3(X1,X2,X3),X1))).
% 0.21/0.39 cnf(i_0_11, plain, (X3=set_union2(X1,X2)|~in(esk2_3(X1,X2,X3),X3)|~in(esk2_3(X1,X2,X3),X2))).
% 0.21/0.39 cnf(i_0_12, plain, (X3=set_union2(X1,X2)|~in(esk2_3(X1,X2,X3),X3)|~in(esk2_3(X1,X2,X3),X1))).
% 0.21/0.39 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.21/0.39 # Begin printing tableau
% 0.21/0.39 # Found 6 steps
% 0.21/0.39 cnf(i_0_25, negated_conjecture, (~in(esk6_0,esk8_0)), inference(start_rule)).
% 0.21/0.39 cnf(i_0_28, plain, (~in(esk6_0,esk8_0)), inference(extension_rule, [i_0_14])).
% 0.21/0.39 cnf(i_0_108, plain, (~in(esk6_0,esk8_0)), inference(extension_rule, [i_0_7])).
% 0.21/0.39 cnf(i_0_107, plain, (set_union2(esk8_0,esk8_0)!=esk8_0), inference(closure_rule, [i_0_21])).
% 0.21/0.39 cnf(i_0_136, plain, (esk6_0!=set_union2(esk6_0,esk6_0)), inference(closure_rule, [i_0_21])).
% 0.21/0.39 cnf(i_0_137, plain, (esk8_0!=unordered_pair(X10,set_union2(esk6_0,esk6_0))), inference(etableau_closure_rule, [i_0_137, ...])).
% 0.21/0.39 # End printing tableau
% 0.21/0.39 # SZS output end
% 0.21/0.39 # Branches closed with saturation will be marked with an "s"
% 0.21/0.39
% 0.21/0.39 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.39 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.39 # Begin clausification derivation
% 0.21/0.39
% 0.21/0.39 # End clausification derivation
% 0.21/0.39 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.21/0.39 cnf(i_0_22, plain, (empty(esk4_0))).
% 0.21/0.39 cnf(i_0_23, plain, (~empty(esk5_0))).
% 0.21/0.39 cnf(i_0_24, plain, (subset(X1,X1))).
% 0.21/0.39 cnf(i_0_21, plain, (set_union2(X1,X1)=X1)).
% 0.21/0.39 cnf(i_0_25, negated_conjecture, (~in(esk6_0,esk8_0))).
% 0.21/0.39 cnf(i_0_2, plain, (unordered_pair(X1,X2)=unordered_pair(X2,X1))).
% 0.21/0.39 cnf(i_0_3, plain, (set_union2(X1,X2)=set_union2(X2,X1))).
% 0.21/0.39 cnf(i_0_7, plain, (in(X1,X3)|X1!=X2|X3!=unordered_pair(X4,X2))).
% 0.21/0.39 cnf(i_0_8, plain, (in(X1,X3)|X1!=X2|X3!=unordered_pair(X2,X4))).
% 0.21/0.39 cnf(i_0_1, plain, (~in(X2,X1)|~in(X1,X2))).
% 0.21/0.39 cnf(i_0_9, plain, (X1=X4|X1=X3|X2!=unordered_pair(X3,X4)|~in(X1,X2))).
% 0.21/0.39 cnf(i_0_20, plain, (empty(X1)|~empty(set_union2(X2,X1)))).
% 0.21/0.39 cnf(i_0_19, plain, (empty(X1)|~empty(set_union2(X1,X2)))).
% 0.21/0.39 cnf(i_0_17, plain, (subset(X1,X2)|in(esk3_2(X1,X2),X1))).
% 0.21/0.39 cnf(i_0_18, plain, (in(X3,X2)|~in(X3,X1)|~subset(X1,X2))).
% 0.21/0.39 cnf(i_0_13, plain, (in(X1,X3)|X3!=set_union2(X4,X2)|~in(X1,X2))).
% 0.21/0.39 cnf(i_0_14, plain, (in(X1,X3)|X3!=set_union2(X2,X4)|~in(X1,X2))).
% 0.21/0.39 cnf(i_0_26, negated_conjecture, (subset(set_union2(unordered_pair(esk6_0,esk7_0),esk8_0),esk8_0))).
% 0.21/0.39 cnf(i_0_15, plain, (in(X1,X4)|in(X1,X3)|X2!=set_union2(X3,X4)|~in(X1,X2))).
% 0.21/0.39 cnf(i_0_16, plain, (subset(X1,X2)|~in(esk3_2(X1,X2),X2))).
% 0.21/0.39 cnf(i_0_4, plain, (X3=unordered_pair(X1,X2)|esk1_3(X1,X2,X3)=X2|esk1_3(X1,X2,X3)=X1|in(esk1_3(X1,X2,X3),X3))).
% 0.21/0.39 cnf(i_0_5, plain, (X3=unordered_pair(X1,X2)|esk1_3(X1,X2,X3)!=X2|~in(esk1_3(X1,X2,X3),X3))).
% 0.21/0.39 cnf(i_0_6, plain, (X3=unordered_pair(X1,X2)|esk1_3(X1,X2,X3)!=X1|~in(esk1_3(X1,X2,X3),X3))).
% 0.21/0.39 cnf(i_0_10, plain, (X3=set_union2(X1,X2)|in(esk2_3(X1,X2,X3),X3)|in(esk2_3(X1,X2,X3),X2)|in(esk2_3(X1,X2,X3),X1))).
% 0.21/0.39 cnf(i_0_11, plain, (X3=set_union2(X1,X2)|~in(esk2_3(X1,X2,X3),X3)|~in(esk2_3(X1,X2,X3),X2))).
% 0.21/0.39 cnf(i_0_12, plain, (X3=set_union2(X1,X2)|~in(esk2_3(X1,X2,X3),X3)|~in(esk2_3(X1,X2,X3),X1))).
% 0.21/0.39 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.21/0.39 # Begin printing tableau
% 0.21/0.39 # Found 6 steps
% 0.21/0.39 cnf(i_0_25, negated_conjecture, (~in(esk6_0,esk8_0)), inference(start_rule)).
% 0.21/0.39 cnf(i_0_28, plain, (~in(esk6_0,esk8_0)), inference(extension_rule, [i_0_18])).
% 0.21/0.39 cnf(i_0_101, plain, (~in(esk6_0,esk8_0)), inference(extension_rule, [i_0_7])).
% 0.21/0.39 cnf(i_0_102, plain, (~subset(esk8_0,esk8_0)), inference(closure_rule, [i_0_24])).
% 0.21/0.39 cnf(i_0_136, plain, (esk6_0!=set_union2(esk6_0,esk6_0)), inference(closure_rule, [i_0_21])).
% 0.21/0.39 cnf(i_0_137, plain, (esk8_0!=unordered_pair(X8,set_union2(esk6_0,esk6_0))), inference(etableau_closure_rule, [i_0_137, ...])).
% 0.21/0.39 # End printing tableau
% 0.21/0.39 # SZS output end
% 0.21/0.39 # Branches closed with saturation will be marked with an "s"
% 0.21/0.39 # Proof search is over...
% 0.21/0.39 # Freeing feature tree
%------------------------------------------------------------------------------