TSTP Solution File: GRP657+1 by Etableau---0.67
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- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : GRP657+1 : 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 : 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 : Sat Jul 16 09:07:46 EDT 2022
% Result : Theorem 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GRP657+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % 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 : n016.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 : Mon Jun 13 16:53:59 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.36 # No SInE strategy applied
% 0.13/0.36 # Auto-Mode selected heuristic H_____047_B31_F1_PI_AE_R4_CS_SP_S2S
% 0.13/0.36 # and selection function SelectNewComplexAHP.
% 0.13/0.36 #
% 0.13/0.36 # Number of axioms: 6 Number of unprocessed: 6
% 0.13/0.36 # Tableaux proof search.
% 0.13/0.36 # APR header successfully linked.
% 0.13/0.36 # Hello from C++
% 0.13/0.36 # The folding up rule is enabled...
% 0.13/0.36 # Local unification is enabled...
% 0.13/0.36 # Any saturation attempts will use folding labels...
% 0.13/0.36 # 6 beginning clauses after preprocessing and clausification
% 0.13/0.36 # Creating start rules for all 1 conjectures.
% 0.13/0.36 # There are 1 start rule candidates:
% 0.13/0.36 # Found 5 unit axioms.
% 0.13/0.36 # 1 start rule tableaux created.
% 0.13/0.36 # 1 extension rule candidate clauses
% 0.13/0.36 # 5 unit axiom clauses
% 0.13/0.36
% 0.13/0.36 # Requested 8, 32 cores available to the main process.
% 0.13/0.36 # There are not enough tableaux to fork, creating more from the initial 1
% 0.13/0.36 # Creating equality axioms
% 0.13/0.36 # Ran out of tableaux, making start rules for all clauses
% 0.13/0.36 # Returning from population with 13 new_tableaux and 0 remaining starting tableaux.
% 0.13/0.36 # We now have 13 tableaux to operate on
% 0.13/0.36 # There were 1 total branch saturation attempts.
% 0.13/0.36 # There were 0 of these attempts blocked.
% 0.13/0.36 # There were 0 deferred branch saturation attempts.
% 0.13/0.36 # There were 0 free duplicated saturations.
% 0.13/0.36 # There were 1 total successful branch saturations.
% 0.13/0.36 # There were 0 successful branch saturations in interreduction.
% 0.13/0.36 # There were 0 successful branch saturations on the branch.
% 0.13/0.36 # There were 1 successful branch saturations after the branch.
% 0.13/0.36 # There were 1 total branch saturation attempts.
% 0.13/0.36 # There were 0 of these attempts blocked.
% 0.13/0.36 # There were 0 deferred branch saturation attempts.
% 0.13/0.36 # There were 0 free duplicated saturations.
% 0.13/0.36 # There were 1 total successful branch saturations.
% 0.13/0.36 # There were 0 successful branch saturations in interreduction.
% 0.13/0.36 # There were 0 successful branch saturations on the branch.
% 0.13/0.36 # There were 1 successful branch saturations after the branch.
% 0.13/0.36 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36 # Begin clausification derivation
% 0.13/0.36
% 0.13/0.36 # End clausification derivation
% 0.13/0.36 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.13/0.36 cnf(i_0_2, plain, (ld(X1,mult(X1,X2))=X2)).
% 0.13/0.36 cnf(i_0_1, plain, (mult(X1,ld(X1,X2))=X2)).
% 0.13/0.36 cnf(i_0_3, plain, (mult(rd(X1,X2),X2)=X1)).
% 0.13/0.36 cnf(i_0_4, plain, (rd(mult(X1,X2),X2)=X1)).
% 0.13/0.36 cnf(i_0_6, negated_conjecture, (mult(X1,esk2_1(X1))!=esk2_1(X1)|mult(esk1_1(X1),X1)!=esk1_1(X1))).
% 0.13/0.36 cnf(i_0_5, plain, (mult(mult(X1,X2),mult(X3,X1))=mult(X1,mult(mult(X2,X3),X1)))).
% 0.13/0.36 cnf(i_0_13, plain, (X20=X20)).
% 0.13/0.36 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.13/0.36 # Begin printing tableau
% 0.13/0.36 # Found 6 steps
% 0.13/0.36 cnf(i_0_2, plain, (ld(X7,mult(X7,X4))=X4), inference(start_rule)).
% 0.13/0.36 cnf(i_0_20, plain, (ld(X7,mult(X7,X4))=X4), inference(extension_rule, [i_0_19])).
% 0.13/0.36 cnf(i_0_45, plain, (ld(X1,mult(X1,X6))!=X6), inference(closure_rule, [i_0_2])).
% 0.13/0.36 cnf(i_0_43, plain, (rd(ld(X7,mult(X7,X4)),ld(X1,mult(X1,X6)))=rd(X4,X6)), inference(extension_rule, [i_0_16])).
% 0.13/0.36 cnf(i_0_54, plain, (rd(X4,X6)!=ld(X1,mult(X1,rd(X4,X6)))), inference(closure_rule, [i_0_2])).
% 0.13/0.36 cnf(i_0_52, plain, (rd(ld(X7,mult(X7,X4)),ld(X1,mult(X1,X6)))=ld(X1,mult(X1,rd(X4,X6)))), inference(etableau_closure_rule, [i_0_52, ...])).
% 0.13/0.36 # End printing tableau
% 0.13/0.36 # SZS output end
% 0.13/0.36 # Branches closed with saturation will be marked with an "s"
% 0.13/0.36 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36 # Begin clausification derivation
% 0.13/0.36
% 0.13/0.36 # End clausification derivation
% 0.13/0.36 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.13/0.36 cnf(i_0_2, plain, (ld(X1,mult(X1,X2))=X2)).
% 0.13/0.36 cnf(i_0_1, plain, (mult(X1,ld(X1,X2))=X2)).
% 0.13/0.36 cnf(i_0_3, plain, (mult(rd(X1,X2),X2)=X1)).
% 0.13/0.36 cnf(i_0_4, plain, (rd(mult(X1,X2),X2)=X1)).
% 0.13/0.36 cnf(i_0_6, negated_conjecture, (mult(X1,esk2_1(X1))!=esk2_1(X1)|mult(esk1_1(X1),X1)!=esk1_1(X1))).
% 0.13/0.36 cnf(i_0_5, plain, (mult(mult(X1,X2),mult(X3,X1))=mult(X1,mult(mult(X2,X3),X1)))).
% 0.13/0.36 cnf(i_0_13, plain, (X20=X20)).
% 0.13/0.36 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.13/0.36 # Begin printing tableau
% 0.13/0.36 # Found 6 steps
% 0.13/0.36 cnf(i_0_2, plain, (ld(X9,mult(X9,X6))=X6), inference(start_rule)).
% 0.13/0.36 cnf(i_0_20, plain, (ld(X9,mult(X9,X6))=X6), inference(extension_rule, [i_0_18])).
% 0.13/0.36 cnf(i_0_41, plain, (ld(X1,mult(X1,X4))!=X4), inference(closure_rule, [i_0_2])).
% 0.13/0.36 cnf(i_0_40, plain, (mult(ld(X1,mult(X1,X4)),ld(X9,mult(X9,X6)))=mult(X4,X6)), inference(extension_rule, [i_0_16])).
% 0.13/0.36 cnf(i_0_54, plain, (mult(X4,X6)!=ld(X1,mult(X1,mult(X4,X6)))), inference(closure_rule, [i_0_2])).
% 0.13/0.36 cnf(i_0_52, plain, (mult(ld(X1,mult(X1,X4)),ld(X9,mult(X9,X6)))=ld(X1,mult(X1,mult(X4,X6)))), inference(etableau_closure_rule, [i_0_52, ...])).
% 0.13/0.36 # End printing tableau
% 0.13/0.36 # SZS output end
% 0.13/0.36 # Branches closed with saturation will be marked with an "s"
% 0.13/0.36 # There were 1 total branch saturation attempts.
% 0.13/0.36 # There were 0 of these attempts blocked.
% 0.13/0.36 # There were 0 deferred branch saturation attempts.
% 0.13/0.36 # There were 0 free duplicated saturations.
% 0.13/0.36 # There were 1 total successful branch saturations.
% 0.13/0.36 # There were 0 successful branch saturations in interreduction.
% 0.13/0.36 # There were 0 successful branch saturations on the branch.
% 0.13/0.36 # There were 1 successful branch saturations after the branch.
% 0.13/0.36 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36 # Begin clausification derivation
% 0.13/0.36
% 0.13/0.36 # End clausification derivation
% 0.13/0.36 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.13/0.36 cnf(i_0_2, plain, (ld(X1,mult(X1,X2))=X2)).
% 0.13/0.36 cnf(i_0_1, plain, (mult(X1,ld(X1,X2))=X2)).
% 0.13/0.36 cnf(i_0_3, plain, (mult(rd(X1,X2),X2)=X1)).
% 0.13/0.36 cnf(i_0_4, plain, (rd(mult(X1,X2),X2)=X1)).
% 0.13/0.36 cnf(i_0_6, negated_conjecture, (mult(X1,esk2_1(X1))!=esk2_1(X1)|mult(esk1_1(X1),X1)!=esk1_1(X1))).
% 0.13/0.36 cnf(i_0_5, plain, (mult(mult(X1,X2),mult(X3,X1))=mult(X1,mult(mult(X2,X3),X1)))).
% 0.13/0.36 cnf(i_0_13, plain, (X20=X20)).
% 0.13/0.36 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.13/0.36 # Begin printing tableau
% 0.13/0.36 # Found 6 steps
% 0.13/0.36 cnf(i_0_2, plain, (ld(X9,mult(X9,mult(X4,X5)))=mult(X4,X5)), inference(start_rule)).
% 0.13/0.36 cnf(i_0_20, plain, (ld(X9,mult(X9,mult(X4,X5)))=mult(X4,X5)), inference(extension_rule, [i_0_17])).
% 0.13/0.36 cnf(i_0_38, plain, (ld(X4,mult(X4,X4))!=X4), inference(closure_rule, [i_0_2])).
% 0.13/0.36 cnf(i_0_37, plain, (ld(ld(X4,mult(X4,X4)),ld(X9,mult(X9,mult(X4,X5))))=ld(X4,mult(X4,X5))), inference(extension_rule, [i_0_16])).
% 0.13/0.36 cnf(i_0_54, plain, (ld(X4,mult(X4,X5))!=X5), inference(closure_rule, [i_0_2])).
% 0.13/0.36 cnf(i_0_52, plain, (ld(ld(X4,mult(X4,X4)),ld(X9,mult(X9,mult(X4,X5))))=X5), inference(etableau_closure_rule, [i_0_52, ...])).
% 0.13/0.36 # End printing tableau
% 0.13/0.36 # SZS output end
% 0.13/0.36 # Branches closed with saturation will be marked with an "s"
% 0.13/0.36 # There were 1 total branch saturation attempts.
% 0.13/0.36 # There were 0 of these attempts blocked.
% 0.13/0.36 # There were 0 deferred branch saturation attempts.
% 0.13/0.36 # There were 0 free duplicated saturations.
% 0.13/0.36 # There were 1 total successful branch saturations.
% 0.13/0.36 # There were 0 successful branch saturations in interreduction.
% 0.13/0.36 # There were 0 successful branch saturations on the branch.
% 0.13/0.36 # There were 1 successful branch saturations after the branch.
% 0.13/0.36 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36 # Begin clausification derivation
% 0.13/0.36
% 0.13/0.36 # End clausification derivation
% 0.13/0.36 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.13/0.36 cnf(i_0_2, plain, (ld(X1,mult(X1,X2))=X2)).
% 0.13/0.36 cnf(i_0_1, plain, (mult(X1,ld(X1,X2))=X2)).
% 0.13/0.36 cnf(i_0_3, plain, (mult(rd(X1,X2),X2)=X1)).
% 0.13/0.36 cnf(i_0_4, plain, (rd(mult(X1,X2),X2)=X1)).
% 0.13/0.36 cnf(i_0_6, negated_conjecture, (mult(X1,esk2_1(X1))!=esk2_1(X1)|mult(esk1_1(X1),X1)!=esk1_1(X1))).
% 0.13/0.36 cnf(i_0_5, plain, (mult(mult(X1,X2),mult(X3,X1))=mult(X1,mult(mult(X2,X3),X1)))).
% 0.13/0.36 cnf(i_0_13, plain, (X20=X20)).
% 0.13/0.36 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.13/0.36 # Begin printing tableau
% 0.13/0.36 # Found 6 steps
% 0.13/0.36 cnf(i_0_2, plain, (ld(X7,mult(X7,X4))=X4), inference(start_rule)).
% 0.13/0.36 cnf(i_0_20, plain, (ld(X7,mult(X7,X4))=X4), inference(extension_rule, [i_0_17])).
% 0.13/0.36 cnf(i_0_39, plain, (ld(X4,mult(X4,mult(X4,X5)))!=mult(X4,X5)), inference(closure_rule, [i_0_2])).
% 0.13/0.36 cnf(i_0_37, plain, (ld(ld(X7,mult(X7,X4)),ld(X4,mult(X4,mult(X4,X5))))=ld(X4,mult(X4,X5))), inference(extension_rule, [i_0_16])).
% 0.13/0.36 cnf(i_0_54, plain, (ld(X4,mult(X4,X5))!=X5), inference(closure_rule, [i_0_2])).
% 0.13/0.36 cnf(i_0_52, plain, (ld(ld(X7,mult(X7,X4)),ld(X4,mult(X4,mult(X4,X5))))=X5), inference(etableau_closure_rule, [i_0_52, ...])).
% 0.13/0.36 # End printing tableau
% 0.13/0.36 # SZS output end
% 0.13/0.36 # Branches closed with saturation will be marked with an "s"
% 0.13/0.36 # Child (24207) has found a proof.
% 0.13/0.36
% 0.13/0.36 # Proof search is over...
% 0.13/0.36 # Freeing feature tree
%------------------------------------------------------------------------------