TSTP Solution File: REL005-4 by Etableau---0.67
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- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : REL005-4 : TPTP v8.1.0. Released v4.0.0.
% 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 : Mon Jul 18 19:20:40 EDT 2022
% Result : Unsatisfiable 2.17s 0.65s
% Output : CNFRefutation 2.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : REL005-4 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % 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 : n020.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 : Fri Jul 8 10:53:43 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.36 # No SInE strategy applied
% 0.12/0.36 # Auto-Mode selected heuristic H_____047_B31_F1_PI_AE_R4_CS_SP_S2S
% 0.12/0.36 # and selection function SelectNewComplexAHP.
% 0.12/0.36 #
% 0.12/0.36 # Number of axioms: 16 Number of unprocessed: 16
% 0.12/0.36 # Tableaux proof search.
% 0.12/0.36 # APR header successfully linked.
% 0.12/0.36 # Hello from C++
% 0.12/0.36 # The folding up rule is enabled...
% 0.12/0.36 # Local unification is enabled...
% 0.12/0.36 # Any saturation attempts will use folding labels...
% 0.12/0.36 # 16 beginning clauses after preprocessing and clausification
% 0.12/0.36 # Creating start rules for all 1 conjectures.
% 0.12/0.36 # There are 1 start rule candidates:
% 0.12/0.36 # Found 15 unit axioms.
% 0.12/0.36 # 1 start rule tableaux created.
% 0.12/0.36 # 1 extension rule candidate clauses
% 0.12/0.36 # 15 unit axiom clauses
% 0.12/0.36
% 0.12/0.36 # Requested 8, 32 cores available to the main process.
% 0.12/0.36 # There are not enough tableaux to fork, creating more from the initial 1
% 0.12/0.36 # Creating equality axioms
% 0.12/0.36 # Ran out of tableaux, making start rules for all clauses
% 0.12/0.36 # Returning from population with 23 new_tableaux and 0 remaining starting tableaux.
% 0.12/0.36 # We now have 23 tableaux to operate on
% 2.17/0.65 # There were 1 total branch saturation attempts.
% 2.17/0.65 # There were 0 of these attempts blocked.
% 2.17/0.65 # There were 0 deferred branch saturation attempts.
% 2.17/0.65 # There were 0 free duplicated saturations.
% 2.17/0.65 # There were 1 total successful branch saturations.
% 2.17/0.65 # There were 0 successful branch saturations in interreduction.
% 2.17/0.65 # There were 0 successful branch saturations on the branch.
% 2.17/0.65 # There were 1 successful branch saturations after the branch.
% 2.17/0.65 # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.17/0.65 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.17/0.65 # Begin clausification derivation
% 2.17/0.65
% 2.17/0.65 # End clausification derivation
% 2.17/0.65 # Begin listing active clauses obtained from FOF to CNF conversion
% 2.17/0.65 cnf(i_0_25, plain, (converse(converse(X1))=X1)).
% 2.17/0.65 cnf(i_0_23, plain, (composition(X1,one)=X1)).
% 2.17/0.65 cnf(i_0_29, plain, (join(X1,complement(X1))=top)).
% 2.17/0.65 cnf(i_0_18, plain, (join(X1,X2)=join(X2,X1))).
% 2.17/0.65 cnf(i_0_26, plain, (join(converse(X1),converse(X2))=converse(join(X1,X2)))).
% 2.17/0.65 cnf(i_0_27, plain, (converse(composition(X1,X2))=composition(converse(X2),converse(X1)))).
% 2.17/0.65 cnf(i_0_30, plain, (complement(join(complement(X1),complement(complement(X1))))=zero)).
% 2.17/0.65 cnf(i_0_19, plain, (join(join(X1,X2),X3)=join(X1,join(X2,X3)))).
% 2.17/0.65 cnf(i_0_22, plain, (composition(composition(X1,X2),X3)=composition(X1,composition(X2,X3)))).
% 2.17/0.65 cnf(i_0_24, plain, (join(composition(X1,X3),composition(X2,X3))=composition(join(X1,X2),X3))).
% 2.17/0.65 cnf(i_0_28, plain, (join(composition(converse(X1),complement(composition(X1,X2))),complement(X2))=complement(X2))).
% 2.17/0.65 cnf(i_0_20, plain, (join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2)))=X1)).
% 2.17/0.65 cnf(i_0_34, negated_conjecture, (join(complement(join(complement(converse(sk1)),complement(converse(sk2)))),converse(complement(join(complement(sk1),complement(sk2)))))!=converse(complement(join(complement(sk1),complement(sk2))))|join(converse(complement(join(complement(sk1),complement(sk2)))),complement(join(complement(converse(sk1)),complement(converse(sk2)))))!=complement(join(complement(converse(sk1)),complement(converse(sk2)))))).
% 2.17/0.65 cnf(i_0_31, plain, (join(complement(join(complement(composition(X1,X2)),complement(X3))),composition(complement(join(complement(X1),complement(composition(X3,converse(X2))))),complement(join(complement(X2),complement(composition(converse(X1),X3))))))=composition(complement(join(complement(X1),complement(composition(X3,converse(X2))))),complement(join(complement(X2),complement(composition(converse(X1),X3))))))).
% 2.17/0.65 cnf(i_0_32, plain, (join(complement(join(complement(composition(X1,X2)),complement(X3))),complement(join(complement(composition(X1,complement(join(complement(X2),complement(composition(converse(X1),X3)))))),complement(X3))))=complement(join(complement(composition(X1,complement(join(complement(X2),complement(composition(converse(X1),X3)))))),complement(X3))))).
% 2.17/0.65 cnf(i_0_33, plain, (join(complement(join(complement(composition(X1,X2)),complement(X3))),complement(join(complement(composition(complement(join(complement(X1),complement(composition(X3,converse(X2))))),X2)),complement(X3))))=complement(join(complement(composition(complement(join(complement(X1),complement(composition(X3,converse(X2))))),X2)),complement(X3))))).
% 2.17/0.65 cnf(i_0_41, plain, (X4=X4)).
% 2.17/0.65 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 2.17/0.65 # Begin printing tableau
% 2.17/0.65 # Found 6 steps
% 2.17/0.65 cnf(i_0_25, plain, (converse(converse(X5))=X5), inference(start_rule)).
% 2.17/0.65 cnf(i_0_49, plain, (converse(converse(X5))=X5), inference(extension_rule, [i_0_45])).
% 2.17/0.65 cnf(i_0_77, plain, (converse(converse(X3))!=X3), inference(closure_rule, [i_0_25])).
% 2.17/0.65 cnf(i_0_76, plain, (join(converse(converse(X3)),converse(converse(X5)))=join(X3,X5)), inference(extension_rule, [i_0_44])).
% 2.17/0.65 cnf(i_0_94, plain, (join(X3,X5)!=converse(converse(join(X3,X5)))), inference(closure_rule, [i_0_25])).
% 2.17/0.65 cnf(i_0_92, plain, (join(converse(converse(X3)),converse(converse(X5)))=converse(converse(join(X3,X5)))), inference(etableau_closure_rule, [i_0_92, ...])).
% 2.17/0.65 # End printing tableau
% 2.17/0.65 # SZS output end
% 2.17/0.65 # Branches closed with saturation will be marked with an "s"
% 2.17/0.65 # There were 1 total branch saturation attempts.
% 2.17/0.65 # There were 0 of these attempts blocked.
% 2.17/0.65 # There were 0 deferred branch saturation attempts.
% 2.17/0.65 # There were 0 free duplicated saturations.
% 2.17/0.65 # There were 1 total successful branch saturations.
% 2.17/0.65 # There were 0 successful branch saturations in interreduction.
% 2.17/0.65 # There were 0 successful branch saturations on the branch.
% 2.17/0.65 # There were 1 successful branch saturations after the branch.
% 2.17/0.65 # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.17/0.65 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.17/0.65 # Begin clausification derivation
% 2.17/0.65
% 2.17/0.65 # End clausification derivation
% 2.17/0.65 # Begin listing active clauses obtained from FOF to CNF conversion
% 2.17/0.65 cnf(i_0_25, plain, (converse(converse(X1))=X1)).
% 2.17/0.65 cnf(i_0_23, plain, (composition(X1,one)=X1)).
% 2.17/0.65 cnf(i_0_29, plain, (join(X1,complement(X1))=top)).
% 2.17/0.65 cnf(i_0_18, plain, (join(X1,X2)=join(X2,X1))).
% 2.17/0.65 cnf(i_0_26, plain, (join(converse(X1),converse(X2))=converse(join(X1,X2)))).
% 2.17/0.65 cnf(i_0_27, plain, (converse(composition(X1,X2))=composition(converse(X2),converse(X1)))).
% 2.17/0.65 cnf(i_0_30, plain, (complement(join(complement(X1),complement(complement(X1))))=zero)).
% 2.17/0.65 cnf(i_0_19, plain, (join(join(X1,X2),X3)=join(X1,join(X2,X3)))).
% 2.17/0.65 cnf(i_0_22, plain, (composition(composition(X1,X2),X3)=composition(X1,composition(X2,X3)))).
% 2.17/0.65 cnf(i_0_24, plain, (join(composition(X1,X3),composition(X2,X3))=composition(join(X1,X2),X3))).
% 2.17/0.65 cnf(i_0_28, plain, (join(composition(converse(X1),complement(composition(X1,X2))),complement(X2))=complement(X2))).
% 2.17/0.65 cnf(i_0_20, plain, (join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2)))=X1)).
% 2.17/0.65 cnf(i_0_34, negated_conjecture, (join(complement(join(complement(converse(sk1)),complement(converse(sk2)))),converse(complement(join(complement(sk1),complement(sk2)))))!=converse(complement(join(complement(sk1),complement(sk2))))|join(converse(complement(join(complement(sk1),complement(sk2)))),complement(join(complement(converse(sk1)),complement(converse(sk2)))))!=complement(join(complement(converse(sk1)),complement(converse(sk2)))))).
% 2.17/0.65 cnf(i_0_31, plain, (join(complement(join(complement(composition(X1,X2)),complement(X3))),composition(complement(join(complement(X1),complement(composition(X3,converse(X2))))),complement(join(complement(X2),complement(composition(converse(X1),X3))))))=composition(complement(join(complement(X1),complement(composition(X3,converse(X2))))),complement(join(complement(X2),complement(composition(converse(X1),X3))))))).
% 2.17/0.65 cnf(i_0_32, plain, (join(complement(join(complement(composition(X1,X2)),complement(X3))),complement(join(complement(composition(X1,complement(join(complement(X2),complement(composition(converse(X1),X3)))))),complement(X3))))=complement(join(complement(composition(X1,complement(join(complement(X2),complement(composition(converse(X1),X3)))))),complement(X3))))).
% 2.17/0.65 cnf(i_0_33, plain, (join(complement(join(complement(composition(X1,X2)),complement(X3))),complement(join(complement(composition(complement(join(complement(X1),complement(composition(X3,converse(X2))))),X2)),complement(X3))))=complement(join(complement(composition(complement(join(complement(X1),complement(composition(X3,converse(X2))))),X2)),complement(X3))))).
% 2.17/0.65 cnf(i_0_41, plain, (X4=X4)).
% 2.17/0.65 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 2.17/0.65 # Begin printing tableau
% 2.17/0.65 # Found 6 steps
% 2.17/0.65 cnf(i_0_25, plain, (converse(converse(X3))=X3), inference(start_rule)).
% 2.17/0.65 cnf(i_0_49, plain, (converse(converse(X3))=X3), inference(extension_rule, [i_0_47])).
% 2.17/0.65 cnf(i_0_83, plain, (converse(converse(X5))!=X5), inference(closure_rule, [i_0_25])).
% 2.17/0.65 cnf(i_0_81, plain, (composition(converse(converse(X3)),converse(converse(X5)))=composition(X3,X5)), inference(extension_rule, [i_0_44])).
% 2.17/0.65 cnf(i_0_94, plain, (composition(X3,X5)!=converse(converse(composition(X3,X5)))), inference(closure_rule, [i_0_25])).
% 2.17/0.65 cnf(i_0_92, plain, (composition(converse(converse(X3)),converse(converse(X5)))=converse(converse(composition(X3,X5)))), inference(etableau_closure_rule, [i_0_92, ...])).
% 2.17/0.65 # End printing tableau
% 2.17/0.65 # SZS output end
% 2.17/0.65 # Branches closed with saturation will be marked with an "s"
% 2.17/0.65 # There were 1 total branch saturation attempts.
% 2.17/0.65 # There were 0 of these attempts blocked.
% 2.17/0.65 # There were 0 deferred branch saturation attempts.
% 2.17/0.65 # There were 0 free duplicated saturations.
% 2.17/0.65 # There were 1 total successful branch saturations.
% 2.17/0.65 # There were 0 successful branch saturations in interreduction.
% 2.17/0.65 # There were 0 successful branch saturations on the branch.
% 2.17/0.65 # There were 1 successful branch saturations after the branch.
% 2.17/0.65 # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.17/0.65 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.17/0.65 # Begin clausification derivation
% 2.17/0.65
% 2.17/0.65 # End clausification derivation
% 2.17/0.65 # Begin listing active clauses obtained from FOF to CNF conversion
% 2.17/0.65 cnf(i_0_25, plain, (converse(converse(X1))=X1)).
% 2.17/0.65 cnf(i_0_23, plain, (composition(X1,one)=X1)).
% 2.17/0.65 cnf(i_0_29, plain, (join(X1,complement(X1))=top)).
% 2.17/0.65 cnf(i_0_18, plain, (join(X1,X2)=join(X2,X1))).
% 2.17/0.65 cnf(i_0_26, plain, (join(converse(X1),converse(X2))=converse(join(X1,X2)))).
% 2.17/0.65 cnf(i_0_27, plain, (converse(composition(X1,X2))=composition(converse(X2),converse(X1)))).
% 2.17/0.65 cnf(i_0_30, plain, (complement(join(complement(X1),complement(complement(X1))))=zero)).
% 2.17/0.65 cnf(i_0_19, plain, (join(join(X1,X2),X3)=join(X1,join(X2,X3)))).
% 2.17/0.65 cnf(i_0_22, plain, (composition(composition(X1,X2),X3)=composition(X1,composition(X2,X3)))).
% 2.17/0.65 cnf(i_0_24, plain, (join(composition(X1,X3),composition(X2,X3))=composition(join(X1,X2),X3))).
% 2.17/0.65 cnf(i_0_28, plain, (join(composition(converse(X1),complement(composition(X1,X2))),complement(X2))=complement(X2))).
% 2.17/0.65 cnf(i_0_20, plain, (join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2)))=X1)).
% 2.17/0.65 cnf(i_0_34, negated_conjecture, (join(complement(join(complement(converse(sk1)),complement(converse(sk2)))),converse(complement(join(complement(sk1),complement(sk2)))))!=converse(complement(join(complement(sk1),complement(sk2))))|join(converse(complement(join(complement(sk1),complement(sk2)))),complement(join(complement(converse(sk1)),complement(converse(sk2)))))!=complement(join(complement(converse(sk1)),complement(converse(sk2)))))).
% 2.17/0.65 cnf(i_0_31, plain, (join(complement(join(complement(composition(X1,X2)),complement(X3))),composition(complement(join(complement(X1),complement(composition(X3,converse(X2))))),complement(join(complement(X2),complement(composition(converse(X1),X3))))))=composition(complement(join(complement(X1),complement(composition(X3,converse(X2))))),complement(join(complement(X2),complement(composition(converse(X1),X3))))))).
% 2.17/0.65 cnf(i_0_32, plain, (join(complement(join(complement(composition(X1,X2)),complement(X3))),complement(join(complement(composition(X1,complement(join(complement(X2),complement(composition(converse(X1),X3)))))),complement(X3))))=complement(join(complement(composition(X1,complement(join(complement(X2),complement(composition(converse(X1),X3)))))),complement(X3))))).
% 2.17/0.65 cnf(i_0_33, plain, (join(complement(join(complement(composition(X1,X2)),complement(X3))),complement(join(complement(composition(complement(join(complement(X1),complement(composition(X3,converse(X2))))),X2)),complement(X3))))=complement(join(complement(composition(complement(join(complement(X1),complement(composition(X3,converse(X2))))),X2)),complement(X3))))).
% 2.17/0.65 cnf(i_0_41, plain, (X4=X4)).
% 2.17/0.65 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 2.17/0.65 # Begin printing tableau
% 2.17/0.65 # Found 5 steps
% 2.17/0.65 cnf(i_0_25, plain, (converse(converse(X3))=X3), inference(start_rule)).
% 2.17/0.65 cnf(i_0_49, plain, (converse(converse(X3))=X3), inference(extension_rule, [i_0_46])).
% 2.17/0.65 cnf(i_0_79, plain, (complement(converse(converse(X3)))=complement(X3)), inference(extension_rule, [i_0_44])).
% 2.17/0.65 cnf(i_0_94, plain, (complement(X3)!=converse(converse(complement(X3)))), inference(closure_rule, [i_0_25])).
% 2.17/0.65 cnf(i_0_92, plain, (complement(converse(converse(X3)))=converse(converse(complement(X3)))), inference(etableau_closure_rule, [i_0_92, ...])).
% 2.17/0.65 # End printing tableau
% 2.17/0.65 # SZS output end
% 2.17/0.65 # Branches closed with saturation will be marked with an "s"
% 2.17/0.65 # Child (10442) has found a proof.
% 2.17/0.65
% 2.17/0.65 # Proof search is over...
% 2.17/0.65 # Freeing feature tree
%------------------------------------------------------------------------------