TSTP Solution File: NUM861+1 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : NUM861+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 : n018.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 09:46:17 EDT 2022

% Result   : Theorem 6.18s 1.12s
% Output   : CNFRefutation 6.18s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : NUM861+1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.11  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.11/0.32  % Computer : n018.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Thu Jul  7 23:20:25 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 0.17/0.33  # No SInE strategy applied
% 0.17/0.33  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.17/0.33  # and selection function SelectComplexExceptUniqMaxHorn.
% 0.17/0.33  #
% 0.17/0.33  # Presaturation interreduction done
% 0.17/0.33  # Number of axioms: 28 Number of unprocessed: 28
% 0.17/0.33  # Tableaux proof search.
% 0.17/0.33  # APR header successfully linked.
% 0.17/0.33  # Hello from C++
% 0.17/0.33  # The folding up rule is enabled...
% 0.17/0.33  # Local unification is enabled...
% 0.17/0.33  # Any saturation attempts will use folding labels...
% 0.17/0.33  # 28 beginning clauses after preprocessing and clausification
% 0.17/0.33  # Creating start rules for all 2 conjectures.
% 0.17/0.33  # There are 2 start rule candidates:
% 0.17/0.33  # Found 1 unit axioms.
% 0.17/0.33  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.17/0.33  # 2 start rule tableaux created.
% 0.17/0.33  # 27 extension rule candidate clauses
% 0.17/0.33  # 1 unit axiom clauses
% 0.17/0.33  
% 0.17/0.33  # Requested 8, 32 cores available to the main process.
% 0.17/0.33  # There are not enough tableaux to fork, creating more from the initial 2
% 0.17/0.33  # Returning from population with 8 new_tableaux and 0 remaining starting tableaux.
% 0.17/0.33  # We now have 8 tableaux to operate on
% 6.18/1.12  # There were 3 total branch saturation attempts.
% 6.18/1.12  # There were 0 of these attempts blocked.
% 6.18/1.12  # There were 0 deferred branch saturation attempts.
% 6.18/1.12  # There were 0 free duplicated saturations.
% 6.18/1.12  # There were 3 total successful branch saturations.
% 6.18/1.12  # There were 0 successful branch saturations in interreduction.
% 6.18/1.12  # There were 0 successful branch saturations on the branch.
% 6.18/1.12  # There were 3 successful branch saturations after the branch.
% 6.18/1.12  # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.18/1.12  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.18/1.12  # Begin clausification derivation
% 6.18/1.12  
% 6.18/1.12  # End clausification derivation
% 6.18/1.12  # Begin listing active clauses obtained from FOF to CNF conversion
% 6.18/1.12  cnf(i_0_1, plain, (lesseq(X1,X1))).
% 6.18/1.12  cnf(i_0_28, negated_conjecture, (~minsol_model_ub(esk4_0,esk5_0,esk6_0)|~minsol_model_max(esk4_0,esk5_0,esk6_0))).
% 6.18/1.12  cnf(i_0_27, negated_conjecture, (minsol_model_ub(esk4_0,esk5_0,esk6_0)|minsol_model_max(esk4_0,esk5_0,esk6_0))).
% 6.18/1.12  cnf(i_0_12, plain, (lesseq(X1,X2)|~ub(X3,X1,X2))).
% 6.18/1.12  cnf(i_0_13, plain, (lesseq(X1,X2)|~ub(X1,X3,X2))).
% 6.18/1.12  cnf(i_0_4, plain, (lesseq(X1,X2)|lesseq(X2,X1))).
% 6.18/1.12  cnf(i_0_10, plain, (max(X1,X2)=X2|~lesseq(X1,X2))).
% 6.18/1.12  cnf(i_0_22, plain, (model_max(X1,X2,X3)|~minsol_model_max(X1,X2,X3))).
% 6.18/1.12  cnf(i_0_26, plain, (model_ub(X1,X2,X3)|~minsol_model_ub(X1,X2,X3))).
% 6.18/1.12  cnf(i_0_3, plain, (X1=X2|~lesseq(X2,X1)|~lesseq(X1,X2))).
% 6.18/1.12  cnf(i_0_7, plain, (lesseq(X1,X2)|~lesseq(summation(X1),summation(X2)))).
% 6.18/1.12  cnf(i_0_9, plain, (max(X1,X2)=X1|~lesseq(X2,X1))).
% 6.18/1.12  cnf(i_0_8, plain, (lesseq(summation(X1),summation(X2))|~lesseq(X1,X2))).
% 6.18/1.12  cnf(i_0_5, plain, (lesseq(X1,X2)|~lesseq(sum(X3,X1),sum(X3,X2)))).
% 6.18/1.12  cnf(i_0_11, plain, (ub(X1,X2,X3)|~lesseq(X2,X3)|~lesseq(X1,X3))).
% 6.18/1.12  cnf(i_0_2, plain, (lesseq(X1,X2)|~lesseq(X3,X2)|~lesseq(X1,X3))).
% 6.18/1.12  cnf(i_0_6, plain, (lesseq(sum(X1,X2),sum(X1,X3))|~lesseq(X2,X3))).
% 6.18/1.12  cnf(i_0_15, plain, (lesseq(sum(c,max(X1,X2)),X3)|~model_max(X1,X2,X3))).
% 6.18/1.12  cnf(i_0_14, plain, (model_max(X1,X2,X3)|~lesseq(sum(c,max(X1,X2)),X3))).
% 6.18/1.12  cnf(i_0_21, plain, (lesseq(X1,X2)|~minsol_model_max(X3,X4,X1)|~model_max(X3,X4,X2))).
% 6.18/1.12  cnf(i_0_25, plain, (lesseq(X1,X2)|~minsol_model_ub(X3,X4,X1)|~model_ub(X3,X4,X2))).
% 6.18/1.12  cnf(i_0_19, plain, (minsol_model_max(X1,X2,X3)|~model_max(X1,X2,X3)|~lesseq(X3,esk2_3(X1,X2,X3)))).
% 6.18/1.12  cnf(i_0_18, plain, (ub(X1,X2,esk1_3(X1,X2,X3))|~model_ub(X1,X2,X3))).
% 6.18/1.12  cnf(i_0_23, plain, (minsol_model_ub(X1,X2,X3)|~model_ub(X1,X2,X3)|~lesseq(X3,esk3_3(X1,X2,X3)))).
% 6.18/1.12  cnf(i_0_17, plain, (lesseq(sum(c,esk1_3(X1,X2,X3)),X3)|~model_ub(X1,X2,X3))).
% 6.18/1.12  cnf(i_0_16, plain, (model_ub(X1,X2,X3)|~ub(X1,X2,X4)|~lesseq(sum(c,X4),X3))).
% 6.18/1.12  cnf(i_0_20, plain, (minsol_model_max(X1,X2,X3)|model_max(X1,X2,esk2_3(X1,X2,X3))|~model_max(X1,X2,X3))).
% 6.18/1.12  cnf(i_0_24, plain, (minsol_model_ub(X1,X2,X3)|model_ub(X1,X2,esk3_3(X1,X2,X3))|~model_ub(X1,X2,X3))).
% 6.18/1.12  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 6.18/1.12  # Begin printing tableau
% 6.18/1.12  # Found 6 steps
% 6.18/1.12  cnf(i_0_28, negated_conjecture, (~minsol_model_ub(esk4_0,esk5_0,esk6_0)|~minsol_model_max(esk4_0,esk5_0,esk6_0)), inference(start_rule)).
% 6.18/1.12  cnf(i_0_32, plain, (~minsol_model_max(esk4_0,esk5_0,esk6_0)), inference(extension_rule, [i_0_20])).
% 6.18/1.12  cnf(i_0_280, plain, (model_max(esk4_0,esk5_0,esk2_3(esk4_0,esk5_0,esk6_0))), inference(extension_rule, [i_0_15])).
% 6.18/1.12  cnf(i_0_31, plain, (~minsol_model_ub(esk4_0,esk5_0,esk6_0)), inference(etableau_closure_rule, [i_0_31, ...])).
% 6.18/1.12  cnf(i_0_281, plain, (~model_max(esk4_0,esk5_0,esk6_0)), inference(etableau_closure_rule, [i_0_281, ...])).
% 6.18/1.12  cnf(i_0_320, plain, (lesseq(sum(c,max(esk4_0,esk5_0)),esk2_3(esk4_0,esk5_0,esk6_0))), inference(etableau_closure_rule, [i_0_320, ...])).
% 6.18/1.12  # End printing tableau
% 6.18/1.12  # SZS output end
% 6.18/1.12  # Branches closed with saturation will be marked with an "s"
% 6.18/1.13  # Child (25401) has found a proof.
% 6.18/1.13  
% 6.18/1.13  # Proof search is over...
% 6.18/1.13  # Freeing feature tree
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