TSTP Solution File: NUM845+2 by Etableau---0.67
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- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : NUM845+2 : TPTP v8.1.0. Released v4.1.0.
% 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 : n011.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 09:46:06 EDT 2022
% Result : Theorem 0.21s 0.40s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : NUM845+2 : TPTP v8.1.0. Released v4.1.0.
% 0.04/0.15 % 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 : n011.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 : Thu Jul 7 03:22:08 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.39 # No SInE strategy applied
% 0.21/0.39 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.21/0.39 # and selection function SelectComplexExceptUniqMaxHorn.
% 0.21/0.39 #
% 0.21/0.39 # Presaturation interreduction done
% 0.21/0.39 # Number of axioms: 15 Number of unprocessed: 7
% 0.21/0.39 # Tableaux proof search.
% 0.21/0.39 # APR header successfully linked.
% 0.21/0.39 # Hello from C++
% 0.21/0.39 # The folding up rule is enabled...
% 0.21/0.39 # Local unification is enabled...
% 0.21/0.39 # Any saturation attempts will use folding labels...
% 0.21/0.39 # 7 beginning clauses after preprocessing and clausification
% 0.21/0.39 # Creating start rules for all 2 conjectures.
% 0.21/0.39 # There are 2 start rule candidates:
% 0.21/0.39 # Found 6 unit axioms.
% 0.21/0.39 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.21/0.39 # 2 start rule tableaux created.
% 0.21/0.39 # 1 extension rule candidate clauses
% 0.21/0.39 # 6 unit axiom clauses
% 0.21/0.39
% 0.21/0.39 # Requested 8, 32 cores available to the main process.
% 0.21/0.39 # There are not enough tableaux to fork, creating more from the initial 2
% 0.21/0.39 # Creating equality axioms
% 0.21/0.39 # Ran out of tableaux, making start rules for all clauses
% 0.21/0.39 # Returning from population with 12 new_tableaux and 0 remaining starting tableaux.
% 0.21/0.39 # We now have 12 tableaux to operate on
% 0.21/0.40 # There were 1 total branch saturation attempts.
% 0.21/0.40 # There were 0 of these attempts blocked.
% 0.21/0.40 # There were 0 deferred branch saturation attempts.
% 0.21/0.40 # There were 0 free duplicated saturations.
% 0.21/0.40 # There were 1 total successful branch saturations.
% 0.21/0.40 # There were 0 successful branch saturations in interreduction.
% 0.21/0.40 # There were 0 successful branch saturations on the branch.
% 0.21/0.40 # There were 1 successful branch saturations after the branch.
% 0.21/0.40 # There were 1 total branch saturation attempts.
% 0.21/0.40 # There were 0 of these attempts blocked.
% 0.21/0.40 # There were 0 deferred branch saturation attempts.
% 0.21/0.40 # There were 0 free duplicated saturations.
% 0.21/0.40 # There were 1 total successful branch saturations.
% 0.21/0.40 # There were 0 successful branch saturations in interreduction.
% 0.21/0.40 # There were 0 successful branch saturations on the branch.
% 0.21/0.40 # There were 1 successful branch saturations after the branch.
% 0.21/0.40 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.40 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.40 # Begin clausification derivation
% 0.21/0.40
% 0.21/0.40 # End clausification derivation
% 0.21/0.40 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.21/0.40 cnf(i_0_12, plain, (vmul(X1,v1)=X1)).
% 0.21/0.40 cnf(i_0_2, negated_conjecture, (vmul(vplus(vd411,v1),esk1_0)=vplus(esk1_0,vmul(vd411,esk1_0)))).
% 0.21/0.40 cnf(i_0_16, plain, (vplus(vplus(X1,X2),X3)=vplus(X1,vplus(X2,X3)))).
% 0.21/0.40 cnf(i_0_14, plain, (vplus(X1,X2)=vplus(X2,X1))).
% 0.21/0.40 cnf(i_0_13, plain, (vmul(X1,vplus(X2,v1))=vplus(X1,vmul(X1,X2)))).
% 0.21/0.40 cnf(i_0_1, negated_conjecture, (vplus(v1,vplus(esk1_0,vmul(vd411,vplus(v1,esk1_0))))!=vmul(vplus(vd411,v1),vplus(v1,esk1_0)))).
% 0.21/0.40 cnf(i_0_10, plain, (vplus(vd411,vplus(v1,vmul(vplus(vd411,v1),X1)))=vmul(vplus(vd411,v1),vplus(X1,v1))|vmul(vplus(vd411,v1),X1)!=vplus(X1,vmul(vd411,X1)))).
% 0.21/0.40 cnf(i_0_27, plain, (X32=X32)).
% 0.21/0.40 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.21/0.40 # Begin printing tableau
% 0.21/0.40 # Found 6 steps
% 0.21/0.40 cnf(i_0_12, plain, (vmul(X5,v1)=X5), inference(start_rule)).
% 0.21/0.40 cnf(i_0_33, plain, (vmul(X5,v1)=X5), inference(extension_rule, [i_0_32])).
% 0.21/0.40 cnf(i_0_55, plain, (vmul(X3,v1)!=X3), inference(closure_rule, [i_0_12])).
% 0.21/0.40 cnf(i_0_54, plain, (vplus(vmul(X3,v1),vmul(X5,v1))=vplus(X3,X5)), inference(extension_rule, [i_0_30])).
% 0.21/0.40 cnf(i_0_65, plain, (vplus(X3,X5)!=vmul(vplus(X3,X5),v1)), inference(closure_rule, [i_0_12])).
% 0.21/0.40 cnf(i_0_63, plain, (vplus(vmul(X3,v1),vmul(X5,v1))=vmul(vplus(X3,X5),v1)), inference(etableau_closure_rule, [i_0_63, ...])).
% 0.21/0.40 # End printing tableau
% 0.21/0.40 # SZS output end
% 0.21/0.40 # Branches closed with saturation will be marked with an "s"
% 0.21/0.40 # There were 1 total branch saturation attempts.
% 0.21/0.40 # There were 0 of these attempts blocked.
% 0.21/0.40 # There were 0 deferred branch saturation attempts.
% 0.21/0.40 # There were 0 free duplicated saturations.
% 0.21/0.40 # There were 1 total successful branch saturations.
% 0.21/0.40 # There were 0 successful branch saturations in interreduction.
% 0.21/0.40 # There were 0 successful branch saturations on the branch.
% 0.21/0.40 # There were 1 successful branch saturations after the branch.
% 0.21/0.40 # There were 1 total branch saturation attempts.
% 0.21/0.40 # There were 0 of these attempts blocked.
% 0.21/0.40 # There were 0 deferred branch saturation attempts.
% 0.21/0.40 # There were 0 free duplicated saturations.
% 0.21/0.40 # There were 1 total successful branch saturations.
% 0.21/0.40 # There were 0 successful branch saturations in interreduction.
% 0.21/0.40 # There were 0 successful branch saturations on the branch.
% 0.21/0.40 # There were 1 successful branch saturations after the branch.
% 0.21/0.40 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.40 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.40 # Begin clausification derivation
% 0.21/0.40
% 0.21/0.40 # End clausification derivation
% 0.21/0.40 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.21/0.40 cnf(i_0_12, plain, (vmul(X1,v1)=X1)).
% 0.21/0.40 cnf(i_0_2, negated_conjecture, (vmul(vplus(vd411,v1),esk1_0)=vplus(esk1_0,vmul(vd411,esk1_0)))).
% 0.21/0.40 cnf(i_0_16, plain, (vplus(vplus(X1,X2),X3)=vplus(X1,vplus(X2,X3)))).
% 0.21/0.40 cnf(i_0_14, plain, (vplus(X1,X2)=vplus(X2,X1))).
% 0.21/0.40 cnf(i_0_13, plain, (vmul(X1,vplus(X2,v1))=vplus(X1,vmul(X1,X2)))).
% 0.21/0.40 cnf(i_0_1, negated_conjecture, (vplus(v1,vplus(esk1_0,vmul(vd411,vplus(v1,esk1_0))))!=vmul(vplus(vd411,v1),vplus(v1,esk1_0)))).
% 0.21/0.40 cnf(i_0_10, plain, (vplus(vd411,vplus(v1,vmul(vplus(vd411,v1),X1)))=vmul(vplus(vd411,v1),vplus(X1,v1))|vmul(vplus(vd411,v1),X1)!=vplus(X1,vmul(vd411,X1)))).
% 0.21/0.40 cnf(i_0_27, plain, (X32=X32)).
% 0.21/0.40 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.21/0.40 # Begin printing tableau
% 0.21/0.40 # Found 6 steps
% 0.21/0.40 cnf(i_0_12, plain, (vmul(X3,v1)=X3), inference(start_rule)).
% 0.21/0.40 cnf(i_0_33, plain, (vmul(X3,v1)=X3), inference(extension_rule, [i_0_32])).
% 0.21/0.40 cnf(i_0_56, plain, (vmul(X5,v1)!=X5), inference(closure_rule, [i_0_12])).
% 0.21/0.40 cnf(i_0_54, plain, (vplus(vmul(X3,v1),vmul(X5,v1))=vplus(X3,X5)), inference(extension_rule, [i_0_30])).
% 0.21/0.40 cnf(i_0_65, plain, (vplus(X3,X5)!=vmul(vplus(X3,X5),v1)), inference(closure_rule, [i_0_12])).
% 0.21/0.40 cnf(i_0_63, plain, (vplus(vmul(X3,v1),vmul(X5,v1))=vmul(vplus(X3,X5),v1)), inference(etableau_closure_rule, [i_0_63, ...])).
% 0.21/0.40 # End printing tableau
% 0.21/0.40 # SZS output end
% 0.21/0.40 # Branches closed with saturation will be marked with an "s"
% 0.21/0.40 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.40 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.40 # Begin clausification derivation
% 0.21/0.40
% 0.21/0.40 # End clausification derivation
% 0.21/0.40 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.21/0.40 cnf(i_0_12, plain, (vmul(X1,v1)=X1)).
% 0.21/0.40 cnf(i_0_2, negated_conjecture, (vmul(vplus(vd411,v1),esk1_0)=vplus(esk1_0,vmul(vd411,esk1_0)))).
% 0.21/0.40 cnf(i_0_16, plain, (vplus(vplus(X1,X2),X3)=vplus(X1,vplus(X2,X3)))).
% 0.21/0.40 cnf(i_0_14, plain, (vplus(X1,X2)=vplus(X2,X1))).
% 0.21/0.40 cnf(i_0_13, plain, (vmul(X1,vplus(X2,v1))=vplus(X1,vmul(X1,X2)))).
% 0.21/0.40 cnf(i_0_1, negated_conjecture, (vplus(v1,vplus(esk1_0,vmul(vd411,vplus(v1,esk1_0))))!=vmul(vplus(vd411,v1),vplus(v1,esk1_0)))).
% 0.21/0.40 cnf(i_0_10, plain, (vplus(vd411,vplus(v1,vmul(vplus(vd411,v1),X1)))=vmul(vplus(vd411,v1),vplus(X1,v1))|vmul(vplus(vd411,v1),X1)!=vplus(X1,vmul(vd411,X1)))).
% 0.21/0.40 cnf(i_0_27, plain, (X32=X32)).
% 0.21/0.40 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.21/0.40 # Begin printing tableau
% 0.21/0.40 # Found 6 steps
% 0.21/0.40 cnf(i_0_14, plain, (vplus(v1,vplus(esk1_0,vmul(vd411,vplus(v1,esk1_0))))=vplus(vplus(esk1_0,vmul(vd411,vplus(v1,esk1_0))),v1)), inference(start_rule)).
% 0.21/0.40 cnf(i_0_36, plain, (vplus(v1,vplus(esk1_0,vmul(vd411,vplus(v1,esk1_0))))=vplus(vplus(esk1_0,vmul(vd411,vplus(v1,esk1_0))),v1)), inference(extension_rule, [i_0_30])).
% 0.21/0.40 cnf(i_0_63, plain, (vplus(v1,vplus(esk1_0,vmul(vd411,vplus(v1,esk1_0))))=vmul(vplus(vd411,v1),vplus(v1,esk1_0))), inference(closure_rule, [i_0_1])).
% 0.21/0.40 cnf(i_0_65, plain, (vplus(vplus(esk1_0,vmul(vd411,vplus(v1,esk1_0))),v1)!=vmul(vplus(vd411,v1),vplus(v1,esk1_0))), inference(extension_rule, [i_0_30])).
% 0.21/0.40 cnf(i_0_79, plain, (vplus(vplus(esk1_0,vmul(vd411,vplus(v1,esk1_0))),v1)!=vmul(vplus(vplus(esk1_0,vmul(vd411,vplus(v1,esk1_0))),v1),v1)), inference(closure_rule, [i_0_12])).
% 0.21/0.40 cnf(i_0_80, plain, (vmul(vplus(vplus(esk1_0,vmul(vd411,vplus(v1,esk1_0))),v1),v1)!=vmul(vplus(vd411,v1),vplus(v1,esk1_0))), inference(etableau_closure_rule, [i_0_80, ...])).
% 0.21/0.40 # End printing tableau
% 0.21/0.40 # SZS output end
% 0.21/0.40 # Branches closed with saturation will be marked with an "s"
% 0.21/0.40 # There were 1 total branch saturation attempts.
% 0.21/0.40 # There were 0 of these attempts blocked.
% 0.21/0.40 # There were 0 deferred branch saturation attempts.
% 0.21/0.40 # There were 0 free duplicated saturations.
% 0.21/0.40 # There were 1 total successful branch saturations.
% 0.21/0.40 # There were 0 successful branch saturations in interreduction.
% 0.21/0.40 # There were 0 successful branch saturations on the branch.
% 0.21/0.40 # There were 1 successful branch saturations after the branch.
% 0.21/0.40 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.40 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.40 # Begin clausification derivation
% 0.21/0.40
% 0.21/0.40 # End clausification derivation
% 0.21/0.40 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.21/0.40 cnf(i_0_12, plain, (vmul(X1,v1)=X1)).
% 0.21/0.40 cnf(i_0_2, negated_conjecture, (vmul(vplus(vd411,v1),esk1_0)=vplus(esk1_0,vmul(vd411,esk1_0)))).
% 0.21/0.40 cnf(i_0_16, plain, (vplus(vplus(X1,X2),X3)=vplus(X1,vplus(X2,X3)))).
% 0.21/0.40 cnf(i_0_14, plain, (vplus(X1,X2)=vplus(X2,X1))).
% 0.21/0.40 cnf(i_0_13, plain, (vmul(X1,vplus(X2,v1))=vplus(X1,vmul(X1,X2)))).
% 0.21/0.40 cnf(i_0_1, negated_conjecture, (vplus(v1,vplus(esk1_0,vmul(vd411,vplus(v1,esk1_0))))!=vmul(vplus(vd411,v1),vplus(v1,esk1_0)))).
% 0.21/0.40 cnf(i_0_10, plain, (vplus(vd411,vplus(v1,vmul(vplus(vd411,v1),X1)))=vmul(vplus(vd411,v1),vplus(X1,v1))|vmul(vplus(vd411,v1),X1)!=vplus(X1,vmul(vd411,X1)))).
% 0.21/0.40 cnf(i_0_27, plain, (X32=X32)).
% 0.21/0.40 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.21/0.40 # Begin printing tableau
% 0.21/0.40 # Found 6 steps
% 0.21/0.40 cnf(i_0_12, plain, (vmul(X4,v1)=X4), inference(start_rule)).
% 0.21/0.40 cnf(i_0_33, plain, (vmul(X4,v1)=X4), inference(extension_rule, [i_0_31])).
% 0.21/0.40 cnf(i_0_53, plain, (vmul(v1,v1)!=v1), inference(closure_rule, [i_0_12])).
% 0.21/0.40 cnf(i_0_51, plain, (vmul(vmul(X4,v1),vmul(v1,v1))=vmul(X4,v1)), inference(extension_rule, [i_0_30])).
% 0.21/0.40 cnf(i_0_65, plain, (vmul(X4,v1)!=X4), inference(closure_rule, [i_0_12])).
% 0.21/0.40 cnf(i_0_63, plain, (vmul(vmul(X4,v1),vmul(v1,v1))=X4), inference(etableau_closure_rule, [i_0_63, ...])).
% 0.21/0.40 # End printing tableau
% 0.21/0.40 # SZS output end
% 0.21/0.40 # Branches closed with saturation will be marked with an "s"
% 0.21/0.40 # There were 1 total branch saturation attempts.
% 0.21/0.40 # There were 0 of these attempts blocked.
% 0.21/0.40 # There were 0 deferred branch saturation attempts.
% 0.21/0.40 # There were 0 free duplicated saturations.
% 0.21/0.40 # There were 1 total successful branch saturations.
% 0.21/0.40 # There were 0 successful branch saturations in interreduction.
% 0.21/0.40 # There were 0 successful branch saturations on the branch.
% 0.21/0.40 # There were 1 successful branch saturations after the branch.
% 0.21/0.40 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.40 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.40 # Begin clausification derivation
% 0.21/0.40
% 0.21/0.40 # End clausification derivation
% 0.21/0.40 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.21/0.40 cnf(i_0_12, plain, (vmul(X1,v1)=X1)).
% 0.21/0.40 cnf(i_0_2, negated_conjecture, (vmul(vplus(vd411,v1),esk1_0)=vplus(esk1_0,vmul(vd411,esk1_0)))).
% 0.21/0.40 cnf(i_0_16, plain, (vplus(vplus(X1,X2),X3)=vplus(X1,vplus(X2,X3)))).
% 0.21/0.40 cnf(i_0_14, plain, (vplus(X1,X2)=vplus(X2,X1))).
% 0.21/0.40 cnf(i_0_13, plain, (vmul(X1,vplus(X2,v1))=vplus(X1,vmul(X1,X2)))).
% 0.21/0.40 cnf(i_0_1, negated_conjecture, (vplus(v1,vplus(esk1_0,vmul(vd411,vplus(v1,esk1_0))))!=vmul(vplus(vd411,v1),vplus(v1,esk1_0)))).
% 0.21/0.40 cnf(i_0_10, plain, (vplus(vd411,vplus(v1,vmul(vplus(vd411,v1),X1)))=vmul(vplus(vd411,v1),vplus(X1,v1))|vmul(vplus(vd411,v1),X1)!=vplus(X1,vmul(vd411,X1)))).
% 0.21/0.40 cnf(i_0_27, plain, (X32=X32)).
% 0.21/0.40 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.21/0.40 # Begin printing tableau
% 0.21/0.40 # Found 6 steps
% 0.21/0.40 cnf(i_0_12, plain, (vmul(vmul(vplus(vd411,v1),vplus(v1,esk1_0)),v1)=vmul(vplus(vd411,v1),vplus(v1,esk1_0))), inference(start_rule)).
% 0.21/0.40 cnf(i_0_33, plain, (vmul(vmul(vplus(vd411,v1),vplus(v1,esk1_0)),v1)=vmul(vplus(vd411,v1),vplus(v1,esk1_0))), inference(extension_rule, [i_0_30])).
% 0.21/0.40 cnf(i_0_48, plain, (vplus(v1,vplus(esk1_0,vmul(vd411,vplus(v1,esk1_0))))=vmul(vplus(vd411,v1),vplus(v1,esk1_0))), inference(closure_rule, [i_0_1])).
% 0.21/0.40 cnf(i_0_49, plain, (vplus(v1,vplus(esk1_0,vmul(vd411,vplus(v1,esk1_0))))!=vmul(vmul(vplus(vd411,v1),vplus(v1,esk1_0)),v1)), inference(extension_rule, [i_0_30])).
% 0.21/0.40 cnf(i_0_64, plain, (vplus(v1,vplus(esk1_0,vmul(vd411,vplus(v1,esk1_0))))!=vmul(vplus(v1,vplus(esk1_0,vmul(vd411,vplus(v1,esk1_0)))),v1)), inference(closure_rule, [i_0_12])).
% 0.21/0.40 cnf(i_0_65, plain, (vmul(vplus(v1,vplus(esk1_0,vmul(vd411,vplus(v1,esk1_0)))),v1)!=vmul(vmul(vplus(vd411,v1),vplus(v1,esk1_0)),v1)), inference(etableau_closure_rule, [i_0_65, ...])).
% 0.21/0.40 # End printing tableau
% 0.21/0.40 # SZS output end
% 0.21/0.40 # Branches closed with saturation will be marked with an "s"
% 0.21/0.40 # Child (11984) has found a proof.
% 0.21/0.40
% 0.21/0.40 # Proof search is over...
% 0.21/0.40 # Freeing feature tree
%------------------------------------------------------------------------------