TSTP Solution File: KLE028+2 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : KLE028+2 : 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 : n014.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 : Sun Jul 17 01:56:41 EDT 2022

% Result   : Theorem 13.55s 2.08s
% Output   : CNFRefutation 13.55s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : KLE028+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.14/0.35  % Computer : n014.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Thu Jun 16 08:43:05 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.14/0.38  # No SInE strategy applied
% 0.14/0.38  # Auto-Mode selected heuristic G_E___208_B00_00_F1_SE_CS_SP_PS_S5PRR_S00EN
% 0.14/0.38  # and selection function PSelectSmallestOrientable.
% 0.14/0.38  #
% 0.14/0.38  # Presaturation interreduction done
% 0.14/0.38  # Number of axioms: 25 Number of unprocessed: 25
% 0.14/0.38  # Tableaux proof search.
% 0.14/0.38  # APR header successfully linked.
% 0.14/0.38  # Hello from C++
% 0.14/0.38  # The folding up rule is enabled...
% 0.14/0.38  # Local unification is enabled...
% 0.14/0.38  # Any saturation attempts will use folding labels...
% 0.14/0.38  # 25 beginning clauses after preprocessing and clausification
% 0.14/0.38  # Creating start rules for all 3 conjectures.
% 0.14/0.38  # There are 3 start rule candidates:
% 0.14/0.38  # Found 13 unit axioms.
% 0.14/0.38  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.14/0.38  # 3 start rule tableaux created.
% 0.14/0.38  # 12 extension rule candidate clauses
% 0.14/0.38  # 13 unit axiom clauses
% 0.14/0.38  
% 0.14/0.38  # Requested 8, 32 cores available to the main process.
% 0.14/0.38  # There are not enough tableaux to fork, creating more from the initial 3
% 0.14/0.38  # Returning from population with 8 new_tableaux and 0 remaining starting tableaux.
% 0.14/0.38  # We now have 8 tableaux to operate on
% 11.44/1.87  # Creating equality axioms
% 11.44/1.87  # Ran out of tableaux, making start rules for all clauses
% 11.44/1.89  # Creating equality axioms
% 11.44/1.89  # Ran out of tableaux, making start rules for all clauses
% 13.55/2.08  # There were 4 total branch saturation attempts.
% 13.55/2.08  # There were 0 of these attempts blocked.
% 13.55/2.08  # There were 0 deferred branch saturation attempts.
% 13.55/2.08  # There were 0 free duplicated saturations.
% 13.55/2.08  # There were 3 total successful branch saturations.
% 13.55/2.08  # There were 2 successful branch saturations in interreduction.
% 13.55/2.08  # There were 0 successful branch saturations on the branch.
% 13.55/2.08  # There were 1 successful branch saturations after the branch.
% 13.55/2.08  # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.55/2.08  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.55/2.08  # Begin clausification derivation
% 13.55/2.08  
% 13.55/2.08  # End clausification derivation
% 13.55/2.08  # Begin listing active clauses obtained from FOF to CNF conversion
% 13.55/2.08  cnf(i_0_25, negated_conjecture, (test(esk6_0))).
% 13.55/2.08  cnf(i_0_24, negated_conjecture, (test(esk7_0))).
% 13.55/2.08  cnf(i_0_10, plain, (multiplication(X1,zero)=zero)).
% 13.55/2.08  cnf(i_0_11, plain, (multiplication(zero,X1)=zero)).
% 13.55/2.08  cnf(i_0_3, plain, (addition(X1,zero)=X1)).
% 13.55/2.08  cnf(i_0_6, plain, (multiplication(X1,one)=X1)).
% 13.55/2.08  cnf(i_0_4, plain, (addition(X1,X1)=X1)).
% 13.55/2.08  cnf(i_0_7, plain, (multiplication(one,X1)=X1)).
% 13.55/2.08  cnf(i_0_2, plain, (addition(addition(X1,X2),X3)=addition(X1,addition(X2,X3)))).
% 13.55/2.08  cnf(i_0_5, plain, (multiplication(multiplication(X1,X2),X3)=multiplication(X1,multiplication(X2,X3)))).
% 13.55/2.08  cnf(i_0_8, plain, (multiplication(X1,addition(X2,X3))=addition(multiplication(X1,X2),multiplication(X1,X3)))).
% 13.55/2.08  cnf(i_0_9, plain, (multiplication(addition(X1,X2),X3)=addition(multiplication(X1,X3),multiplication(X2,X3)))).
% 13.55/2.08  cnf(i_0_1, plain, (addition(X1,X2)=addition(X2,X1))).
% 13.55/2.08  cnf(i_0_22, plain, (c(X1)=zero|test(X1))).
% 13.55/2.08  cnf(i_0_14, plain, (test(X1)|~complement(X2,X1))).
% 13.55/2.08  cnf(i_0_13, plain, (addition(X1,X2)=X2|~leq(X1,X2))).
% 13.55/2.08  cnf(i_0_17, plain, (addition(X1,X2)=one|~complement(X2,X1))).
% 13.55/2.08  cnf(i_0_12, plain, (leq(X1,X2)|addition(X1,X2)!=X2)).
% 13.55/2.08  cnf(i_0_19, plain, (multiplication(X1,X2)=zero|~complement(X2,X1))).
% 13.55/2.08  cnf(i_0_18, plain, (multiplication(X1,X2)=zero|~complement(X1,X2))).
% 13.55/2.08  cnf(i_0_15, plain, (complement(esk1_1(X1),X1)|~test(X1))).
% 13.55/2.08  cnf(i_0_21, plain, (complement(X1,c(X1))|~test(X1))).
% 13.55/2.08  cnf(i_0_20, plain, (c(X1)=X2|~complement(X1,X2)|~test(X1))).
% 13.55/2.08  cnf(i_0_16, plain, (complement(X1,X2)|addition(X2,X1)!=one|multiplication(X1,X2)!=zero|multiplication(X2,X1)!=zero)).
% 13.55/2.08  cnf(i_0_23, negated_conjecture, (~leq(addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(esk6_0,multiplication(c(esk7_0),esk3_0)),addition(multiplication(c(esk6_0),multiplication(esk7_0,esk4_0)),multiplication(c(esk6_0),multiplication(c(esk7_0),esk5_0))))),addition(multiplication(esk7_0,multiplication(esk6_0,esk2_0)),addition(multiplication(esk7_0,multiplication(c(esk6_0),esk4_0)),addition(multiplication(c(esk7_0),multiplication(esk6_0,esk3_0)),multiplication(c(esk7_0),multiplication(c(esk6_0),esk5_0))))))|~leq(addition(multiplication(esk7_0,multiplication(esk6_0,esk2_0)),addition(multiplication(esk7_0,multiplication(c(esk6_0),esk4_0)),addition(multiplication(c(esk7_0),multiplication(esk6_0,esk3_0)),multiplication(c(esk7_0),multiplication(c(esk6_0),esk5_0))))),addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(esk6_0,multiplication(c(esk7_0),esk3_0)),addition(multiplication(c(esk6_0),multiplication(esk7_0,esk4_0)),multiplication(c(esk6_0),multiplication(c(esk7_0),esk5_0)))))))).
% 13.55/2.08  cnf(i_0_166, plain, (X47=X47)).
% 13.55/2.08  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 13.55/2.08  # Begin printing tableau
% 13.55/2.08  # Found 9 steps
% 13.55/2.08  cnf(i_0_166, plain, (one=one), inference(start_rule)).
% 13.55/2.08  cnf(i_0_216, plain, (one=one), inference(extension_rule, [i_0_170])).
% 13.55/2.08  cnf(i_0_253, plain, (multiplication(one,zero)!=zero), inference(closure_rule, [i_0_10])).
% 13.55/2.08  cnf(i_0_251, plain, (addition(one,multiplication(one,zero))=addition(one,zero)), inference(extension_rule, [i_0_169])).
% 13.55/2.08  cnf(i_0_287, plain, (addition(one,zero)!=one), inference(closure_rule, [i_0_3])).
% 13.55/2.08  cnf(i_0_285, plain, (addition(one,multiplication(one,zero))=one), inference(extension_rule, [i_0_16])).
% 13.55/2.08  cnf(i_0_107540, plain, (complement(multiplication(one,zero),one)), inference(etableau_closure_rule, [i_0_107540, ...])).
% 13.55/2.08  cnf(i_0_107542, plain, (multiplication(multiplication(one,zero),one)!=zero), inference(etableau_closure_rule, [i_0_107542, ...])).
% 13.55/2.08  cnf(i_0_107543, plain, (multiplication(one,multiplication(one,zero))!=zero), inference(etableau_closure_rule, [i_0_107543, ...])).
% 13.55/2.08  # End printing tableau
% 13.55/2.08  # SZS output end
% 13.55/2.08  # Branches closed with saturation will be marked with an "s"
% 13.55/2.09  # Child (15295) has found a proof.
% 13.55/2.09  
% 13.55/2.09  # Proof search is over...
% 13.55/2.09  # Freeing feature tree
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