TSTP Solution File: SYN319+1 by Etableau---0.67
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SYN319+1 : TPTP v8.1.0. Released v2.0.0.
% 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 : n020.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 : Thu Jul 21 06:09:50 EDT 2022
% Result : Theorem 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYN319+1 : TPTP v8.1.0. Released v2.0.0.
% 0.12/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 11 21:29:27 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.37 # No SInE strategy applied
% 0.13/0.37 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.13/0.37 # and selection function SelectComplexExceptUniqMaxHorn.
% 0.13/0.37 #
% 0.13/0.37 # Presaturation interreduction done
% 0.13/0.37 # Number of axioms: 9 Number of unprocessed: 8
% 0.13/0.37 # Tableaux proof search.
% 0.13/0.37 # APR header successfully linked.
% 0.13/0.37 # Hello from C++
% 0.13/0.37 # The folding up rule is enabled...
% 0.13/0.37 # Local unification is enabled...
% 0.13/0.37 # Any saturation attempts will use folding labels...
% 0.13/0.37 # 8 beginning clauses after preprocessing and clausification
% 0.13/0.37 # Creating start rules for all 8 conjectures.
% 0.13/0.37 # There are 8 start rule candidates:
% 0.13/0.37 # Found 0 unit axioms.
% 0.13/0.37 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.13/0.37 # 8 start rule tableaux created.
% 0.13/0.37 # 8 extension rule candidate clauses
% 0.13/0.37 # 0 unit axiom clauses
% 0.13/0.37
% 0.13/0.37 # Requested 8, 32 cores available to the main process.
% 0.13/0.37 # There were 2 total branch saturation attempts.
% 0.13/0.37 # There were 0 of these attempts blocked.
% 0.13/0.37 # There were 0 deferred branch saturation attempts.
% 0.13/0.37 # There were 0 free duplicated saturations.
% 0.13/0.37 # There were 2 total successful branch saturations.
% 0.13/0.37 # There were 1 successful branch saturations in interreduction.
% 0.13/0.37 # There were 0 successful branch saturations on the branch.
% 0.13/0.37 # There were 1 successful branch saturations after the branch.
% 0.13/0.37 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.37 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.37 # Begin clausification derivation
% 0.13/0.37
% 0.13/0.37 # End clausification derivation
% 0.13/0.37 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.13/0.37 cnf(i_0_6, negated_conjecture, (~big_g(esk1_0)|~big_f(esk2_0))).
% 0.13/0.37 cnf(i_0_1, negated_conjecture, (~big_h(esk3_0)|~big_h(esk4_0))).
% 0.13/0.37 cnf(i_0_8, negated_conjecture, (big_f(X1)|~big_f(esk2_0))).
% 0.13/0.37 cnf(i_0_7, negated_conjecture, (big_g(X1)|~big_g(esk1_0))).
% 0.13/0.37 cnf(i_0_9, negated_conjecture, (big_g(X1)|big_f(X2))).
% 0.13/0.37 cnf(i_0_5, negated_conjecture, (big_h(X1)|~big_f(X1))).
% 0.13/0.37 cnf(i_0_4, negated_conjecture, (big_h(X1)|~big_g(X1))).
% 0.13/0.37 cnf(i_0_3, negated_conjecture, (big_h(X1)|~big_h(esk3_0))).
% 0.13/0.37 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.13/0.37 # Begin printing tableau
% 0.13/0.37 # Found 5 steps
% 0.13/0.37 cnf(i_0_3, negated_conjecture, (big_h(esk3_0)|~big_h(esk3_0)), inference(start_rule)).
% 0.13/0.37 cnf(i_0_10, plain, (big_h(esk3_0)), inference(extension_rule, [i_0_3])).
% 0.13/0.37 cnf(i_0_26, plain, (big_h(esk3_0)), inference(extension_rule, [i_0_1])).
% 0.13/0.37 cnf(i_0_11, plain, (~big_h(esk3_0)), inference(etableau_closure_rule, [i_0_11, ...])).
% 0.13/0.37 cnf(i_0_39, plain, (~big_h(esk4_0)), inference(etableau_closure_rule, [i_0_39, ...])).
% 0.13/0.37 # End printing tableau
% 0.13/0.37 # SZS output end
% 0.13/0.37 # Branches closed with saturation will be marked with an "s"
% 0.13/0.37 # There were 2 total branch saturation attempts.
% 0.13/0.37 # There were 0 of these attempts blocked.
% 0.13/0.37 # There were 0 deferred branch saturation attempts.
% 0.13/0.37 # There were 0 free duplicated saturations.
% 0.13/0.37 # There were 2 total successful branch saturations.
% 0.13/0.37 # There were 1 successful branch saturations in interreduction.
% 0.13/0.37 # There were 0 successful branch saturations on the branch.
% 0.13/0.37 # There were 1 successful branch saturations after the branch.
% 0.13/0.37 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.37 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.37 # Begin clausification derivation
% 0.13/0.37
% 0.13/0.37 # End clausification derivation
% 0.13/0.37 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.13/0.37 cnf(i_0_6, negated_conjecture, (~big_g(esk1_0)|~big_f(esk2_0))).
% 0.13/0.37 cnf(i_0_1, negated_conjecture, (~big_h(esk3_0)|~big_h(esk4_0))).
% 0.13/0.37 cnf(i_0_8, negated_conjecture, (big_f(X1)|~big_f(esk2_0))).
% 0.13/0.37 cnf(i_0_7, negated_conjecture, (big_g(X1)|~big_g(esk1_0))).
% 0.13/0.37 cnf(i_0_9, negated_conjecture, (big_g(X1)|big_f(X2))).
% 0.13/0.37 cnf(i_0_5, negated_conjecture, (big_h(X1)|~big_f(X1))).
% 0.13/0.37 cnf(i_0_4, negated_conjecture, (big_h(X1)|~big_g(X1))).
% 0.13/0.37 cnf(i_0_3, negated_conjecture, (big_h(X1)|~big_h(esk3_0))).
% 0.13/0.37 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.13/0.37 # Begin printing tableau
% 0.13/0.37 # Found 5 steps
% 0.13/0.37 cnf(i_0_4, negated_conjecture, (big_h(esk3_0)|~big_g(esk3_0)), inference(start_rule)).
% 0.13/0.37 cnf(i_0_12, plain, (big_h(esk3_0)), inference(extension_rule, [i_0_3])).
% 0.13/0.37 cnf(i_0_26, plain, (big_h(esk3_0)), inference(extension_rule, [i_0_1])).
% 0.13/0.37 cnf(i_0_13, plain, (~big_g(esk3_0)), inference(etableau_closure_rule, [i_0_13, ...])).
% 0.13/0.37 cnf(i_0_39, plain, (~big_h(esk4_0)), inference(etableau_closure_rule, [i_0_39, ...])).
% 0.13/0.37 # End printing tableau
% 0.13/0.37 # SZS output end
% 0.13/0.37 # Branches closed with saturation will be marked with an "s"
% 0.13/0.37 # There were 2 total branch saturation attempts.
% 0.13/0.37 # There were 0 of these attempts blocked.
% 0.13/0.37 # There were 0 deferred branch saturation attempts.
% 0.13/0.37 # There were 0 free duplicated saturations.
% 0.13/0.37 # There were 2 total successful branch saturations.
% 0.13/0.37 # There were 2 successful branch saturations in interreduction.
% 0.13/0.37 # There were 0 successful branch saturations on the branch.
% 0.13/0.37 # There were 0 successful branch saturations after the branch.
% 0.13/0.37 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.37 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.37 # Begin clausification derivation
% 0.13/0.37
% 0.13/0.37 # End clausification derivation
% 0.13/0.37 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.13/0.37 cnf(i_0_6, negated_conjecture, (~big_g(esk1_0)|~big_f(esk2_0))).
% 0.13/0.37 cnf(i_0_1, negated_conjecture, (~big_h(esk3_0)|~big_h(esk4_0))).
% 0.13/0.37 cnf(i_0_8, negated_conjecture, (big_f(X1)|~big_f(esk2_0))).
% 0.13/0.37 cnf(i_0_7, negated_conjecture, (big_g(X1)|~big_g(esk1_0))).
% 0.13/0.37 cnf(i_0_9, negated_conjecture, (big_g(X1)|big_f(X2))).
% 0.13/0.37 cnf(i_0_5, negated_conjecture, (big_h(X1)|~big_f(X1))).
% 0.13/0.37 cnf(i_0_4, negated_conjecture, (big_h(X1)|~big_g(X1))).
% 0.13/0.37 cnf(i_0_3, negated_conjecture, (big_h(X1)|~big_h(esk3_0))).
% 0.13/0.37 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.13/0.37 # Begin printing tableau
% 0.13/0.37 # Found 8 steps
% 0.13/0.37 cnf(i_0_9, negated_conjecture, (big_g(esk3_0)|big_f(esk3_0)), inference(start_rule)).
% 0.13/0.37 cnf(i_0_16, plain, (big_g(esk3_0)), inference(extension_rule, [i_0_4])).
% 0.13/0.37 cnf(i_0_28, plain, (big_h(esk3_0)), inference(extension_rule, [i_0_3])).
% 0.13/0.37 cnf(i_0_30, plain, (big_h(esk3_0)), inference(extension_rule, [i_0_1])).
% 0.13/0.37 cnf(i_0_17, plain, (big_f(esk3_0)), inference(extension_rule, [i_0_5])).
% 0.13/0.37 cnf(i_0_42, plain, (big_h(esk3_0)), inference(extension_rule, [i_0_3])).
% 0.13/0.37 cnf(i_0_41, plain, (~big_h(esk4_0)), inference(etableau_closure_rule, [i_0_41, ...])).
% 0.13/0.37 cnf(i_0_54, plain, (big_h(X2)), inference(etableau_closure_rule, [i_0_54, ...])).
% 0.13/0.37 # End printing tableau
% 0.13/0.37 # SZS output end
% 0.13/0.37 # Branches closed with saturation will be marked with an "s"
% 0.13/0.37 # There were 2 total branch saturation attempts.
% 0.13/0.37 # There were 0 of these attempts blocked.
% 0.13/0.37 # There were 0 deferred branch saturation attempts.
% 0.13/0.37 # There were 0 free duplicated saturations.
% 0.13/0.37 # There were 2 total successful branch saturations.
% 0.13/0.37 # There were 1 successful branch saturations in interreduction.
% 0.13/0.37 # There were 0 successful branch saturations on the branch.
% 0.13/0.37 # There were 1 successful branch saturations after the branch.
% 0.13/0.37 # There were 2 total branch saturation attempts.
% 0.13/0.37 # There were 0 of these attempts blocked.
% 0.13/0.37 # There were 0 deferred branch saturation attempts.
% 0.13/0.37 # There were 0 free duplicated saturations.
% 0.13/0.37 # There were 2 total successful branch saturations.
% 0.13/0.37 # There were 1 successful branch saturations in interreduction.
% 0.13/0.37 # There were 0 successful branch saturations on the branch.
% 0.13/0.37 # There were 1 successful branch saturations after the branch.
% 0.13/0.37 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.37 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.37 # Begin clausification derivation
% 0.13/0.37
% 0.13/0.37 # End clausification derivation
% 0.13/0.37 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.13/0.37 cnf(i_0_6, negated_conjecture, (~big_g(esk1_0)|~big_f(esk2_0))).
% 0.13/0.37 cnf(i_0_1, negated_conjecture, (~big_h(esk3_0)|~big_h(esk4_0))).
% 0.13/0.37 cnf(i_0_8, negated_conjecture, (big_f(X1)|~big_f(esk2_0))).
% 0.13/0.37 cnf(i_0_7, negated_conjecture, (big_g(X1)|~big_g(esk1_0))).
% 0.13/0.37 cnf(i_0_9, negated_conjecture, (big_g(X1)|big_f(X2))).
% 0.13/0.37 cnf(i_0_5, negated_conjecture, (big_h(X1)|~big_f(X1))).
% 0.13/0.37 cnf(i_0_4, negated_conjecture, (big_h(X1)|~big_g(X1))).
% 0.13/0.37 cnf(i_0_3, negated_conjecture, (big_h(X1)|~big_h(esk3_0))).
% 0.13/0.37 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.13/0.37 # Begin printing tableau
% 0.13/0.37 # Found 5 steps
% 0.13/0.37 cnf(i_0_5, negated_conjecture, (big_h(esk3_0)|~big_f(esk3_0)), inference(start_rule)).
% 0.13/0.37 cnf(i_0_14, plain, (big_h(esk3_0)), inference(extension_rule, [i_0_3])).
% 0.13/0.37 cnf(i_0_26, plain, (big_h(esk3_0)), inference(extension_rule, [i_0_1])).
% 0.13/0.37 cnf(i_0_15, plain, (~big_f(esk3_0)), inference(etableau_closure_rule, [i_0_15, ...])).
% 0.13/0.37 cnf(i_0_39, plain, (~big_h(esk4_0)), inference(etableau_closure_rule, [i_0_39, ...])).
% 0.13/0.37 # End printing tableau
% 0.13/0.37 # SZS output end
% 0.13/0.37 # Branches closed with saturation will be marked with an "s"
% 0.13/0.37 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.37 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.37 # Begin clausification derivation
% 0.13/0.37
% 0.13/0.37 # End clausification derivation
% 0.13/0.37 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.13/0.37 cnf(i_0_6, negated_conjecture, (~big_g(esk1_0)|~big_f(esk2_0))).
% 0.13/0.37 cnf(i_0_1, negated_conjecture, (~big_h(esk3_0)|~big_h(esk4_0))).
% 0.13/0.37 cnf(i_0_8, negated_conjecture, (big_f(X1)|~big_f(esk2_0))).
% 0.13/0.37 cnf(i_0_7, negated_conjecture, (big_g(X1)|~big_g(esk1_0))).
% 0.13/0.37 cnf(i_0_9, negated_conjecture, (big_g(X1)|big_f(X2))).
% 0.13/0.37 cnf(i_0_5, negated_conjecture, (big_h(X1)|~big_f(X1))).
% 0.13/0.37 cnf(i_0_4, negated_conjecture, (big_h(X1)|~big_g(X1))).
% 0.13/0.37 cnf(i_0_3, negated_conjecture, (big_h(X1)|~big_h(esk3_0))).
% 0.13/0.37 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.13/0.37 # Begin printing tableau
% 0.13/0.37 # Found 5 steps
% 0.13/0.37 cnf(i_0_7, negated_conjecture, (big_g(esk3_0)|~big_g(esk1_0)), inference(start_rule)).
% 0.13/0.37 cnf(i_0_18, plain, (big_g(esk3_0)), inference(extension_rule, [i_0_4])).
% 0.13/0.37 cnf(i_0_28, plain, (big_h(esk3_0)), inference(extension_rule, [i_0_3])).
% 0.13/0.37 cnf(i_0_19, plain, (~big_g(esk1_0)), inference(etableau_closure_rule, [i_0_19, ...])).
% 0.13/0.37 cnf(i_0_30, plain, (big_h(X3)), inference(etableau_closure_rule, [i_0_30, ...])).
% 0.13/0.37 # End printing tableau
% 0.13/0.37 # SZS output end
% 0.13/0.37 # Branches closed with saturation will be marked with an "s"
% 0.13/0.37 # There were 2 total branch saturation attempts.
% 0.13/0.37 # There were 0 of these attempts blocked.
% 0.13/0.37 # There were 0 deferred branch saturation attempts.
% 0.13/0.37 # There were 0 free duplicated saturations.
% 0.13/0.37 # There were 2 total successful branch saturations.
% 0.13/0.37 # There were 1 successful branch saturations in interreduction.
% 0.13/0.37 # There were 0 successful branch saturations on the branch.
% 0.13/0.37 # There were 1 successful branch saturations after the branch.
% 0.13/0.37 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.37 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.37 # Begin clausification derivation
% 0.13/0.37
% 0.13/0.37 # End clausification derivation
% 0.13/0.37 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.13/0.37 cnf(i_0_6, negated_conjecture, (~big_g(esk1_0)|~big_f(esk2_0))).
% 0.13/0.37 cnf(i_0_1, negated_conjecture, (~big_h(esk3_0)|~big_h(esk4_0))).
% 0.13/0.37 cnf(i_0_8, negated_conjecture, (big_f(X1)|~big_f(esk2_0))).
% 0.13/0.37 cnf(i_0_7, negated_conjecture, (big_g(X1)|~big_g(esk1_0))).
% 0.13/0.37 cnf(i_0_9, negated_conjecture, (big_g(X1)|big_f(X2))).
% 0.13/0.37 cnf(i_0_5, negated_conjecture, (big_h(X1)|~big_f(X1))).
% 0.13/0.37 cnf(i_0_4, negated_conjecture, (big_h(X1)|~big_g(X1))).
% 0.13/0.37 cnf(i_0_3, negated_conjecture, (big_h(X1)|~big_h(esk3_0))).
% 0.13/0.37 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.13/0.37 # Begin printing tableau
% 0.13/0.37 # Found 5 steps
% 0.13/0.37 cnf(i_0_8, negated_conjecture, (big_f(esk3_0)|~big_f(esk2_0)), inference(start_rule)).
% 0.13/0.37 cnf(i_0_20, plain, (big_f(esk3_0)), inference(extension_rule, [i_0_5])).
% 0.13/0.37 cnf(i_0_30, plain, (big_h(esk3_0)), inference(extension_rule, [i_0_3])).
% 0.13/0.37 cnf(i_0_21, plain, (~big_f(esk2_0)), inference(etableau_closure_rule, [i_0_21, ...])).
% 0.13/0.37 cnf(i_0_32, plain, (big_h(X3)), inference(etableau_closure_rule, [i_0_32, ...])).
% 0.13/0.37 # End printing tableau
% 0.13/0.37 # SZS output end
% 0.13/0.37 # Branches closed with saturation will be marked with an "s"
% 0.13/0.37 # Child (10960) has found a proof.
% 0.13/0.37
% 0.13/0.37 # Proof search is over...
% 0.13/0.37 # Freeing feature tree
%------------------------------------------------------------------------------