TSTP Solution File: GRP682-11 by Etableau---0.67
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : GRP682-11 : TPTP v8.1.0. Released v8.1.0.
% 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 : n024.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 : Sat Jul 16 09:07:58 EDT 2022
% Result : Unsatisfiable 0.19s 0.41s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP682-11 : TPTP v8.1.0. Released v8.1.0.
% 0.03/0.12 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jun 14 07:23:18 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.36 # No SInE strategy applied
% 0.19/0.36 # Auto-Mode selected heuristic G_E___302_C18_F1_URBAN_S5PRR_RG_S04BN
% 0.19/0.36 # and selection function PSelectComplexExceptUniqMaxHorn.
% 0.19/0.36 #
% 0.19/0.36 # Number of axioms: 8 Number of unprocessed: 8
% 0.19/0.36 # Tableaux proof search.
% 0.19/0.36 # APR header successfully linked.
% 0.19/0.36 # Hello from C++
% 0.19/0.36 # The folding up rule is enabled...
% 0.19/0.36 # Local unification is enabled...
% 0.19/0.36 # Any saturation attempts will use folding labels...
% 0.19/0.36 # 8 beginning clauses after preprocessing and clausification
% 0.19/0.36 # Creating start rules for all 1 conjectures.
% 0.19/0.36 # There are 1 start rule candidates:
% 0.19/0.36 # Found 8 unit axioms.
% 0.19/0.36 # 1 start rule tableaux created.
% 0.19/0.36 # 0 extension rule candidate clauses
% 0.19/0.36 # 8 unit axiom clauses
% 0.19/0.36
% 0.19/0.36 # Requested 8, 32 cores available to the main process.
% 0.19/0.36 # There are not enough tableaux to fork, creating more from the initial 1
% 0.19/0.36 # Creating equality axioms
% 0.19/0.36 # Ran out of tableaux, making start rules for all clauses
% 0.19/0.36 # Returning from population with 15 new_tableaux and 0 remaining starting tableaux.
% 0.19/0.36 # We now have 15 tableaux to operate on
% 0.19/0.41 # There were 1 total branch saturation attempts.
% 0.19/0.41 # There were 0 of these attempts blocked.
% 0.19/0.41 # There were 0 deferred branch saturation attempts.
% 0.19/0.41 # There were 0 free duplicated saturations.
% 0.19/0.41 # There were 1 total successful branch saturations.
% 0.19/0.41 # There were 0 successful branch saturations in interreduction.
% 0.19/0.41 # There were 0 successful branch saturations on the branch.
% 0.19/0.41 # There were 1 successful branch saturations after the branch.
% 0.19/0.41 # There were 1 total branch saturation attempts.
% 0.19/0.41 # There were 0 of these attempts blocked.
% 0.19/0.41 # There were 0 deferred branch saturation attempts.
% 0.19/0.41 # There were 0 free duplicated saturations.
% 0.19/0.41 # There were 1 total successful branch saturations.
% 0.19/0.41 # There were 0 successful branch saturations in interreduction.
% 0.19/0.41 # There were 0 successful branch saturations on the branch.
% 0.19/0.41 # There were 1 successful branch saturations after the branch.
% 0.19/0.41 # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.41 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.41 # Begin clausification derivation
% 0.19/0.41
% 0.19/0.41 # End clausification derivation
% 0.19/0.41 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.41 cnf(i_0_9, plain, (ld(X1,mult(X1,X1))=X1)).
% 0.19/0.41 cnf(i_0_10, plain, (rd(mult(X1,X1),X1)=X1)).
% 0.19/0.41 cnf(i_0_11, plain, (ld(X1,mult(X1,X2))=mult(X1,ld(X1,X2)))).
% 0.19/0.41 cnf(i_0_12, plain, (rd(mult(X1,X2),X2)=mult(rd(X1,X2),X2))).
% 0.19/0.41 cnf(i_0_15, plain, (rd(mult(rd(X1,X1),X2),X2)=ld(X1,mult(X1,ld(X2,X2))))).
% 0.19/0.41 cnf(i_0_16, negated_conjecture, (ld(rd(x0,x1),mult(rd(x0,x1),x2))!=ld(x0,mult(x0,x2)))).
% 0.19/0.41 cnf(i_0_13, plain, (ld(ld(X1,X2),mult(ld(X1,X2),mult(X3,X4)))=mult(ld(X1,mult(X1,X3)),X4))).
% 0.19/0.41 cnf(i_0_14, plain, (rd(mult(mult(X1,X2),rd(X3,X4)),rd(X3,X4))=mult(X1,rd(mult(X2,X4),X4)))).
% 0.19/0.41 cnf(i_0_18, plain, (X5=X5)).
% 0.19/0.41 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.19/0.41 # Begin printing tableau
% 0.19/0.41 # Found 6 steps
% 0.19/0.41 cnf(i_0_9, plain, (ld(X3,mult(X3,X3))=X3), inference(start_rule)).
% 0.19/0.41 cnf(i_0_25, plain, (ld(X3,mult(X3,X3))=X3), inference(extension_rule, [i_0_24])).
% 0.19/0.41 cnf(i_0_49, plain, (ld(X5,mult(X5,X5))!=X5), inference(closure_rule, [i_0_9])).
% 0.19/0.41 cnf(i_0_47, plain, (rd(ld(X3,mult(X3,X3)),ld(X5,mult(X5,X5)))=rd(X3,X5)), inference(extension_rule, [i_0_21])).
% 0.19/0.41 cnf(i_0_56, plain, (rd(X3,X5)!=ld(rd(X3,X5),mult(rd(X3,X5),rd(X3,X5)))), inference(closure_rule, [i_0_9])).
% 0.19/0.41 cnf(i_0_54, plain, (rd(ld(X3,mult(X3,X3)),ld(X5,mult(X5,X5)))=ld(rd(X3,X5),mult(rd(X3,X5),rd(X3,X5)))), inference(etableau_closure_rule, [i_0_54, ...])).
% 0.19/0.41 # End printing tableau
% 0.19/0.41 # SZS output end
% 0.19/0.41 # Branches closed with saturation will be marked with an "s"
% 0.19/0.41 # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.41 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.41 # Begin clausification derivation
% 0.19/0.41
% 0.19/0.41 # End clausification derivation
% 0.19/0.41 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.41 cnf(i_0_9, plain, (ld(X1,mult(X1,X1))=X1)).
% 0.19/0.41 cnf(i_0_10, plain, (rd(mult(X1,X1),X1)=X1)).
% 0.19/0.41 cnf(i_0_11, plain, (ld(X1,mult(X1,X2))=mult(X1,ld(X1,X2)))).
% 0.19/0.41 cnf(i_0_12, plain, (rd(mult(X1,X2),X2)=mult(rd(X1,X2),X2))).
% 0.19/0.41 cnf(i_0_15, plain, (rd(mult(rd(X1,X1),X2),X2)=ld(X1,mult(X1,ld(X2,X2))))).
% 0.19/0.41 cnf(i_0_16, negated_conjecture, (ld(rd(x0,x1),mult(rd(x0,x1),x2))!=ld(x0,mult(x0,x2)))).
% 0.19/0.41 cnf(i_0_13, plain, (ld(ld(X1,X2),mult(ld(X1,X2),mult(X3,X4)))=mult(ld(X1,mult(X1,X3)),X4))).
% 0.19/0.41 cnf(i_0_14, plain, (rd(mult(mult(X1,X2),rd(X3,X4)),rd(X3,X4))=mult(X1,rd(mult(X2,X4),X4)))).
% 0.19/0.41 cnf(i_0_18, plain, (X5=X5)).
% 0.19/0.41 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.19/0.41 # Begin printing tableau
% 0.19/0.41 # Found 6 steps
% 0.19/0.41 cnf(i_0_9, plain, (ld(mult(X4,X4),mult(mult(X4,X4),mult(X4,X4)))=mult(X4,X4)), inference(start_rule)).
% 0.19/0.41 cnf(i_0_25, plain, (ld(mult(X4,X4),mult(mult(X4,X4),mult(X4,X4)))=mult(X4,X4)), inference(extension_rule, [i_0_23])).
% 0.19/0.41 cnf(i_0_45, plain, (ld(X4,mult(X4,X4))!=X4), inference(closure_rule, [i_0_9])).
% 0.19/0.41 cnf(i_0_44, plain, (ld(ld(X4,mult(X4,X4)),ld(mult(X4,X4),mult(mult(X4,X4),mult(X4,X4))))=ld(X4,mult(X4,X4))), inference(extension_rule, [i_0_21])).
% 0.19/0.41 cnf(i_0_56, plain, (ld(X4,mult(X4,X4))!=X4), inference(closure_rule, [i_0_9])).
% 0.19/0.41 cnf(i_0_54, plain, (ld(ld(X4,mult(X4,X4)),ld(mult(X4,X4),mult(mult(X4,X4),mult(X4,X4))))=X4), inference(etableau_closure_rule, [i_0_54, ...])).
% 0.19/0.41 # End printing tableau
% 0.19/0.41 # SZS output end
% 0.19/0.41 # Branches closed with saturation will be marked with an "s"
% 0.19/0.41 # There were 1 total branch saturation attempts.
% 0.19/0.41 # There were 0 of these attempts blocked.
% 0.19/0.41 # There were 0 deferred branch saturation attempts.
% 0.19/0.41 # There were 0 free duplicated saturations.
% 0.19/0.41 # There were 1 total successful branch saturations.
% 0.19/0.41 # There were 0 successful branch saturations in interreduction.
% 0.19/0.41 # There were 0 successful branch saturations on the branch.
% 0.19/0.41 # There were 1 successful branch saturations after the branch.
% 0.19/0.41 # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.41 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.41 # Begin clausification derivation
% 0.19/0.41
% 0.19/0.41 # End clausification derivation
% 0.19/0.41 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.41 cnf(i_0_9, plain, (ld(X1,mult(X1,X1))=X1)).
% 0.19/0.41 cnf(i_0_10, plain, (rd(mult(X1,X1),X1)=X1)).
% 0.19/0.41 cnf(i_0_11, plain, (ld(X1,mult(X1,X2))=mult(X1,ld(X1,X2)))).
% 0.19/0.41 cnf(i_0_12, plain, (rd(mult(X1,X2),X2)=mult(rd(X1,X2),X2))).
% 0.19/0.41 cnf(i_0_15, plain, (rd(mult(rd(X1,X1),X2),X2)=ld(X1,mult(X1,ld(X2,X2))))).
% 0.19/0.41 cnf(i_0_16, negated_conjecture, (ld(rd(x0,x1),mult(rd(x0,x1),x2))!=ld(x0,mult(x0,x2)))).
% 0.19/0.41 cnf(i_0_13, plain, (ld(ld(X1,X2),mult(ld(X1,X2),mult(X3,X4)))=mult(ld(X1,mult(X1,X3)),X4))).
% 0.19/0.41 cnf(i_0_14, plain, (rd(mult(mult(X1,X2),rd(X3,X4)),rd(X3,X4))=mult(X1,rd(mult(X2,X4),X4)))).
% 0.19/0.41 cnf(i_0_18, plain, (X5=X5)).
% 0.19/0.41 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.19/0.41 # Begin printing tableau
% 0.19/0.41 # Found 6 steps
% 0.19/0.41 cnf(i_0_9, plain, (ld(X5,mult(X5,X5))=X5), inference(start_rule)).
% 0.19/0.41 cnf(i_0_25, plain, (ld(X5,mult(X5,X5))=X5), inference(extension_rule, [i_0_22])).
% 0.19/0.41 cnf(i_0_42, plain, (ld(X3,mult(X3,X3))!=X3), inference(closure_rule, [i_0_9])).
% 0.19/0.41 cnf(i_0_41, plain, (mult(ld(X3,mult(X3,X3)),ld(X5,mult(X5,X5)))=mult(X3,X5)), inference(extension_rule, [i_0_21])).
% 0.19/0.41 cnf(i_0_56, plain, (mult(X3,X5)!=ld(mult(X3,X5),mult(mult(X3,X5),mult(X3,X5)))), inference(closure_rule, [i_0_9])).
% 0.19/0.41 cnf(i_0_54, plain, (mult(ld(X3,mult(X3,X3)),ld(X5,mult(X5,X5)))=ld(mult(X3,X5),mult(mult(X3,X5),mult(X3,X5)))), inference(etableau_closure_rule, [i_0_54, ...])).
% 0.19/0.41 # End printing tableau
% 0.19/0.41 # SZS output end
% 0.19/0.41 # Branches closed with saturation will be marked with an "s"
% 0.19/0.41 # There were 1 total branch saturation attempts.
% 0.19/0.41 # There were 0 of these attempts blocked.
% 0.19/0.41 # There were 0 deferred branch saturation attempts.
% 0.19/0.41 # There were 0 free duplicated saturations.
% 0.19/0.41 # There were 1 total successful branch saturations.
% 0.19/0.41 # There were 0 successful branch saturations in interreduction.
% 0.19/0.41 # There were 0 successful branch saturations on the branch.
% 0.19/0.41 # There were 1 successful branch saturations after the branch.
% 0.19/0.41 # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.41 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.41 # Begin clausification derivation
% 0.19/0.41
% 0.19/0.41 # End clausification derivation
% 0.19/0.41 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.41 cnf(i_0_9, plain, (ld(X1,mult(X1,X1))=X1)).
% 0.19/0.41 cnf(i_0_10, plain, (rd(mult(X1,X1),X1)=X1)).
% 0.19/0.41 cnf(i_0_11, plain, (ld(X1,mult(X1,X2))=mult(X1,ld(X1,X2)))).
% 0.19/0.41 cnf(i_0_12, plain, (rd(mult(X1,X2),X2)=mult(rd(X1,X2),X2))).
% 0.19/0.41 cnf(i_0_15, plain, (rd(mult(rd(X1,X1),X2),X2)=ld(X1,mult(X1,ld(X2,X2))))).
% 0.19/0.41 cnf(i_0_16, negated_conjecture, (ld(rd(x0,x1),mult(rd(x0,x1),x2))!=ld(x0,mult(x0,x2)))).
% 0.19/0.41 cnf(i_0_13, plain, (ld(ld(X1,X2),mult(ld(X1,X2),mult(X3,X4)))=mult(ld(X1,mult(X1,X3)),X4))).
% 0.19/0.41 cnf(i_0_14, plain, (rd(mult(mult(X1,X2),rd(X3,X4)),rd(X3,X4))=mult(X1,rd(mult(X2,X4),X4)))).
% 0.19/0.41 cnf(i_0_18, plain, (X5=X5)).
% 0.19/0.41 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.19/0.41 # Begin printing tableau
% 0.19/0.41 # Found 6 steps
% 0.19/0.41 cnf(i_0_9, plain, (ld(X3,mult(X3,X3))=X3), inference(start_rule)).
% 0.19/0.41 cnf(i_0_25, plain, (ld(X3,mult(X3,X3))=X3), inference(extension_rule, [i_0_22])).
% 0.19/0.41 cnf(i_0_43, plain, (ld(X5,mult(X5,X5))!=X5), inference(closure_rule, [i_0_9])).
% 0.19/0.41 cnf(i_0_41, plain, (mult(ld(X3,mult(X3,X3)),ld(X5,mult(X5,X5)))=mult(X3,X5)), inference(extension_rule, [i_0_21])).
% 0.19/0.41 cnf(i_0_56, plain, (mult(X3,X5)!=ld(mult(X3,X5),mult(mult(X3,X5),mult(X3,X5)))), inference(closure_rule, [i_0_9])).
% 0.19/0.41 cnf(i_0_54, plain, (mult(ld(X3,mult(X3,X3)),ld(X5,mult(X5,X5)))=ld(mult(X3,X5),mult(mult(X3,X5),mult(X3,X5)))), inference(etableau_closure_rule, [i_0_54, ...])).
% 0.19/0.41 # End printing tableau
% 0.19/0.41 # SZS output end
% 0.19/0.41 # Branches closed with saturation will be marked with an "s"
% 0.19/0.41 # There were 1 total branch saturation attempts.
% 0.19/0.41 # There were 0 of these attempts blocked.
% 0.19/0.41 # There were 0 deferred branch saturation attempts.
% 0.19/0.41 # There were 0 free duplicated saturations.
% 0.19/0.41 # There were 1 total successful branch saturations.
% 0.19/0.41 # There were 0 successful branch saturations in interreduction.
% 0.19/0.41 # There were 0 successful branch saturations on the branch.
% 0.19/0.41 # There were 1 successful branch saturations after the branch.
% 0.19/0.41 # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.41 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.41 # Begin clausification derivation
% 0.19/0.41
% 0.19/0.41 # End clausification derivation
% 0.19/0.41 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.41 cnf(i_0_9, plain, (ld(X1,mult(X1,X1))=X1)).
% 0.19/0.41 cnf(i_0_10, plain, (rd(mult(X1,X1),X1)=X1)).
% 0.19/0.41 cnf(i_0_11, plain, (ld(X1,mult(X1,X2))=mult(X1,ld(X1,X2)))).
% 0.19/0.41 cnf(i_0_12, plain, (rd(mult(X1,X2),X2)=mult(rd(X1,X2),X2))).
% 0.19/0.41 cnf(i_0_15, plain, (rd(mult(rd(X1,X1),X2),X2)=ld(X1,mult(X1,ld(X2,X2))))).
% 0.19/0.41 cnf(i_0_16, negated_conjecture, (ld(rd(x0,x1),mult(rd(x0,x1),x2))!=ld(x0,mult(x0,x2)))).
% 0.19/0.41 cnf(i_0_13, plain, (ld(ld(X1,X2),mult(ld(X1,X2),mult(X3,X4)))=mult(ld(X1,mult(X1,X3)),X4))).
% 0.19/0.41 cnf(i_0_14, plain, (rd(mult(mult(X1,X2),rd(X3,X4)),rd(X3,X4))=mult(X1,rd(mult(X2,X4),X4)))).
% 0.19/0.41 cnf(i_0_18, plain, (X5=X5)).
% 0.19/0.41 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.19/0.41 # Begin printing tableau
% 0.19/0.41 # Found 6 steps
% 0.19/0.41 cnf(i_0_9, plain, (ld(ld(x0,mult(x0,x2)),mult(ld(x0,mult(x0,x2)),ld(x0,mult(x0,x2))))=ld(x0,mult(x0,x2))), inference(start_rule)).
% 0.19/0.41 cnf(i_0_25, plain, (ld(ld(x0,mult(x0,x2)),mult(ld(x0,mult(x0,x2)),ld(x0,mult(x0,x2))))=ld(x0,mult(x0,x2))), inference(extension_rule, [i_0_21])).
% 0.19/0.41 cnf(i_0_38, plain, (ld(rd(x0,x1),mult(rd(x0,x1),x2))=ld(x0,mult(x0,x2))), inference(closure_rule, [i_0_16])).
% 0.19/0.41 cnf(i_0_39, plain, (ld(rd(x0,x1),mult(rd(x0,x1),x2))!=ld(ld(x0,mult(x0,x2)),mult(ld(x0,mult(x0,x2)),ld(x0,mult(x0,x2))))), inference(extension_rule, [i_0_21])).
% 0.19/0.41 cnf(i_0_55, plain, (ld(rd(x0,x1),mult(rd(x0,x1),x2))!=ld(ld(rd(x0,x1),mult(rd(x0,x1),x2)),mult(ld(rd(x0,x1),mult(rd(x0,x1),x2)),ld(rd(x0,x1),mult(rd(x0,x1),x2))))), inference(closure_rule, [i_0_9])).
% 0.19/0.41 cnf(i_0_56, plain, (ld(ld(rd(x0,x1),mult(rd(x0,x1),x2)),mult(ld(rd(x0,x1),mult(rd(x0,x1),x2)),ld(rd(x0,x1),mult(rd(x0,x1),x2))))!=ld(ld(x0,mult(x0,x2)),mult(ld(x0,mult(x0,x2)),ld(x0,mult(x0,x2))))), inference(etableau_closure_rule, [i_0_56, ...])).
% 0.19/0.41 # End printing tableau
% 0.19/0.41 # SZS output end
% 0.19/0.41 # Branches closed with saturation will be marked with an "s"
% 0.19/0.41 # Child (31050) has found a proof.
% 0.19/0.41
% 0.19/0.41 # Proof search is over...
% 0.19/0.41 # Freeing feature tree
%------------------------------------------------------------------------------