TSTP Solution File: NUM852+1 by Etableau---0.67
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : NUM852+1 : 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 : n019.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 09:46:11 EDT 2022
% Result : Theorem 0.19s 0.42s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUM852+1 : TPTP v8.1.0. Released v4.1.0.
% 0.04/0.13 % 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 : n019.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 : Thu Jul 7 21:55:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.38 # No SInE strategy applied
% 0.19/0.38 # Auto-Mode selected heuristic G_E___208_B00_00_F1_SE_CS_SP_PS_S5PRR_S00EN
% 0.19/0.38 # and selection function PSelectSmallestOrientable.
% 0.19/0.38 #
% 0.19/0.38 # Presaturation interreduction done
% 0.19/0.38 # Number of axioms: 65 Number of unprocessed: 55
% 0.19/0.38 # Tableaux proof search.
% 0.19/0.38 # APR header successfully linked.
% 0.19/0.38 # Hello from C++
% 0.19/0.39 # The folding up rule is enabled...
% 0.19/0.39 # Local unification is enabled...
% 0.19/0.39 # Any saturation attempts will use folding labels...
% 0.19/0.39 # 55 beginning clauses after preprocessing and clausification
% 0.19/0.39 # Creating start rules for all 1 conjectures.
% 0.19/0.39 # There are 1 start rule candidates:
% 0.19/0.39 # Found 22 unit axioms.
% 0.19/0.39 # 1 start rule tableaux created.
% 0.19/0.39 # 33 extension rule candidate clauses
% 0.19/0.39 # 22 unit axiom clauses
% 0.19/0.39
% 0.19/0.39 # Requested 8, 32 cores available to the main process.
% 0.19/0.39 # There are not enough tableaux to fork, creating more from the initial 1
% 0.19/0.42 # There were 2 total branch saturation attempts.
% 0.19/0.42 # There were 0 of these attempts blocked.
% 0.19/0.42 # There were 0 deferred branch saturation attempts.
% 0.19/0.42 # There were 0 free duplicated saturations.
% 0.19/0.42 # There were 2 total successful branch saturations.
% 0.19/0.42 # There were 0 successful branch saturations in interreduction.
% 0.19/0.42 # There were 0 successful branch saturations on the branch.
% 0.19/0.42 # There were 2 successful branch saturations after the branch.
% 0.19/0.42 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.42 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.42 # Begin clausification derivation
% 0.19/0.42
% 0.19/0.42 # End clausification derivation
% 0.19/0.42 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.42 cnf(i_0_2, plain, (greater(vd481,vd480))).
% 0.19/0.42 cnf(i_0_3, plain, (less(vd480,vd481))).
% 0.19/0.42 cnf(i_0_18, plain, (geq(X1,v1))).
% 0.19/0.42 cnf(i_0_14, plain, (vmul(X1,v1)=X1)).
% 0.19/0.42 cnf(i_0_13, plain, (vmul(v1,X1)=X1)).
% 0.19/0.42 cnf(i_0_36, plain, (leq(X1,X1))).
% 0.19/0.42 cnf(i_0_39, plain, (geq(X1,X1))).
% 0.19/0.42 cnf(i_0_29, plain, (greater(vplus(X1,X2),X1))).
% 0.19/0.42 cnf(i_0_48, plain, (less(X1,vplus(X1,X2)))).
% 0.19/0.42 cnf(i_0_9, plain, (vmul(vmul(X1,X2),X3)=vmul(X1,vmul(X2,X3)))).
% 0.19/0.42 cnf(i_0_61, plain, (vplus(vplus(X1,X2),X3)=vplus(X1,vplus(X2,X3)))).
% 0.19/0.42 cnf(i_0_10, plain, (vplus(vmul(X1,X2),vmul(X1,X3))=vmul(X1,vplus(X2,X3)))).
% 0.19/0.42 cnf(i_0_11, plain, (vmul(X1,X2)=vmul(X2,X1))).
% 0.19/0.42 cnf(i_0_58, plain, (vplus(X1,X2)=vplus(X2,X1))).
% 0.19/0.42 cnf(i_0_15, plain, (vplus(X1,vmul(X1,X2))=vmul(X1,vplus(X2,v1)))).
% 0.19/0.42 cnf(i_0_12, plain, (vplus(X1,vmul(X2,X1))=vmul(vplus(X2,v1),X1))).
% 0.19/0.42 cnf(i_0_1, negated_conjecture, (~greater(vmul(vd481,vd469),vmul(vd480,vd469)))).
% 0.19/0.42 cnf(i_0_47, plain, (~greater(X1,X1))).
% 0.19/0.42 cnf(i_0_57, plain, (vplus(X1,X2)!=X2)).
% 0.19/0.42 cnf(i_0_65, plain, (vplus(X1,v1)!=X1)).
% 0.19/0.42 cnf(i_0_45, plain, (~less(X1,X1))).
% 0.19/0.42 cnf(i_0_53, plain, (vplus(X1,X2)!=X1)).
% 0.19/0.42 cnf(i_0_46, plain, (~less(X1,X2)|~greater(X1,X2))).
% 0.19/0.42 cnf(i_0_42, plain, (greater(X1,X2)|~less(X2,X1))).
% 0.19/0.42 cnf(i_0_40, plain, (geq(X1,X2)|~greater(X1,X2))).
% 0.19/0.42 cnf(i_0_43, plain, (less(X1,X2)|~greater(X2,X1))).
% 0.19/0.42 cnf(i_0_34, plain, (geq(X1,X2)|~leq(X2,X1))).
% 0.19/0.42 cnf(i_0_35, plain, (leq(X1,X2)|~geq(X2,X1))).
% 0.19/0.42 cnf(i_0_37, plain, (leq(X1,X2)|~less(X1,X2))).
% 0.19/0.42 cnf(i_0_17, plain, (geq(X1,vplus(X2,v1))|~greater(X1,X2))).
% 0.19/0.42 cnf(i_0_41, plain, (X1=X2|greater(X1,X2)|~geq(X1,X2))).
% 0.19/0.42 cnf(i_0_16, plain, (leq(X1,X2)|~less(X1,vplus(X2,v1)))).
% 0.19/0.42 cnf(i_0_64, plain, (vplus(v1,vskolem2(X1))=X1|X1=v1)).
% 0.19/0.42 cnf(i_0_24, plain, (X1=X2|vplus(X1,X3)!=vplus(X2,X3))).
% 0.19/0.42 cnf(i_0_56, plain, (X1=X2|vplus(X3,X1)!=vplus(X3,X2))).
% 0.19/0.42 cnf(i_0_38, plain, (X1=X2|less(X1,X2)|~leq(X1,X2))).
% 0.19/0.42 cnf(i_0_25, plain, (greater(X1,X2)|~greater(vplus(X1,X3),vplus(X2,X3)))).
% 0.19/0.42 cnf(i_0_44, plain, (X1=X2|less(X1,X2)|greater(X1,X2))).
% 0.19/0.42 cnf(i_0_23, plain, (less(X1,X2)|~less(vplus(X1,X3),vplus(X2,X3)))).
% 0.19/0.42 cnf(i_0_33, plain, (less(X1,X2)|~less(X1,X3)|~less(X3,X2))).
% 0.19/0.42 cnf(i_0_31, plain, (less(X1,X2)|~leq(X3,X2)|~less(X1,X3))).
% 0.19/0.42 cnf(i_0_32, plain, (less(X1,X2)|~leq(X1,X3)|~less(X3,X2))).
% 0.19/0.42 cnf(i_0_8, plain, (vplus(X1,vskolem9(X2,X1))=X2|~greater(X2,X1))).
% 0.19/0.42 cnf(i_0_51, plain, (vplus(X1,esk2_2(X1,X2))=X2|~greater(X2,X1))).
% 0.19/0.42 cnf(i_0_7, plain, (vmul(vd469,vplus(X1,vskolem9(X2,X1)))=vmul(X2,vd469)|~greater(X2,X1))).
% 0.19/0.42 cnf(i_0_49, plain, (vplus(X1,esk1_2(X2,X1))=X2|~less(X1,X2))).
% 0.19/0.42 cnf(i_0_30, plain, (leq(X1,X2)|~leq(X1,X3)|~leq(X3,X2))).
% 0.19/0.42 cnf(i_0_28, plain, (greater(vplus(X1,X2),vplus(X3,X2))|~greater(X1,X3))).
% 0.19/0.42 cnf(i_0_26, plain, (less(vplus(X1,X2),vplus(X3,X2))|~less(X1,X3))).
% 0.19/0.42 cnf(i_0_22, plain, (greater(vplus(X1,X2),vplus(X3,X4))|~greater(X1,X3)|~greater(X2,X4))).
% 0.19/0.42 cnf(i_0_20, plain, (greater(vplus(X1,X2),vplus(X3,X4))|~geq(X2,X4)|~greater(X1,X3))).
% 0.19/0.42 cnf(i_0_21, plain, (greater(vplus(X1,X2),vplus(X3,X4))|~geq(X1,X3)|~greater(X2,X4))).
% 0.19/0.42 cnf(i_0_52, plain, (vplus(X1,esk3_2(X2,X1))=X2|vplus(X2,esk4_2(X2,X1))=X1|X2=X1)).
% 0.19/0.42 cnf(i_0_19, plain, (geq(vplus(X1,X2),vplus(X3,X4))|~geq(X1,X3)|~geq(X2,X4))).
% 0.19/0.42 cnf(i_0_6, plain, (vplus(vmul(X1,vd469),vmul(vd469,vskolem9(X2,X1)))=vmul(vd469,vplus(X1,vskolem9(X2,X1)))|~greater(X2,X1))).
% 0.19/0.42 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.19/0.42 # Begin printing tableau
% 0.19/0.42 # Found 5 steps
% 0.19/0.42 cnf(i_0_1, negated_conjecture, (~greater(vmul(vd481,vd469),vmul(vd480,vd469))), inference(start_rule)).
% 0.19/0.42 cnf(i_0_78, plain, (~greater(vmul(vd481,vd469),vmul(vd480,vd469))), inference(extension_rule, [i_0_44])).
% 0.19/0.42 cnf(i_0_112, plain, (less(vmul(vd481,vd469),vmul(vd480,vd469))), inference(extension_rule, [i_0_42])).
% 0.19/0.42 cnf(i_0_111, plain, (vmul(vd480,vd469)=vmul(vd481,vd469)), inference(etableau_closure_rule, [i_0_111, ...])).
% 0.19/0.42 cnf(i_0_237, plain, (greater(vmul(vd480,vd469),vmul(vd481,vd469))), inference(etableau_closure_rule, [i_0_237, ...])).
% 0.19/0.42 # End printing tableau
% 0.19/0.42 # SZS output end
% 0.19/0.42 # Branches closed with saturation will be marked with an "s"
% 0.19/0.42 # Returning from population with 4 new_tableaux and 0 remaining starting tableaux.
% 0.19/0.42 # We now have 4 tableaux to operate on
% 0.19/0.42 # Found closed tableau during pool population.
% 0.19/0.42 # Proof search is over...
% 0.19/0.42 # Freeing feature tree
%------------------------------------------------------------------------------