TSTP Solution File: COM021+1 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : COM021+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 : n012.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 : Fri Jul 15 01:15:01 EDT 2022

% Result   : Theorem 0.18s 0.39s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12  % Problem  : COM021+1 : TPTP v8.1.0. Released v4.0.0.
% 0.05/0.12  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.12/0.33  % Computer : n012.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Thu Jun 16 18:29:09 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.37  # No SInE strategy applied
% 0.18/0.37  # Auto-Mode selected heuristic G_E___208_C18C___F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.18/0.37  # and selection function SelectComplexExceptUniqMaxHorn.
% 0.18/0.37  #
% 0.18/0.37  # Presaturation interreduction done
% 0.18/0.37  # Number of axioms: 64 Number of unprocessed: 64
% 0.18/0.37  # Tableaux proof search.
% 0.18/0.37  # APR header successfully linked.
% 0.18/0.37  # Hello from C++
% 0.18/0.38  # The folding up rule is enabled...
% 0.18/0.38  # Local unification is enabled...
% 0.18/0.38  # Any saturation attempts will use folding labels...
% 0.18/0.38  # 64 beginning clauses after preprocessing and clausification
% 0.18/0.38  # Creating start rules for all 1 conjectures.
% 0.18/0.38  # There are 1 start rule candidates:
% 0.18/0.38  # Found 22 unit axioms.
% 0.18/0.38  # 1 start rule tableaux created.
% 0.18/0.38  # 42 extension rule candidate clauses
% 0.18/0.38  # 22 unit axiom clauses
% 0.18/0.38  
% 0.18/0.38  # Requested 8, 32 cores available to the main process.
% 0.18/0.38  # There are not enough tableaux to fork, creating more from the initial 1
% 0.18/0.39  # There were 2 total branch saturation attempts.
% 0.18/0.39  # There were 0 of these attempts blocked.
% 0.18/0.39  # There were 0 deferred branch saturation attempts.
% 0.18/0.39  # There were 0 free duplicated saturations.
% 0.18/0.39  # There were 2 total successful branch saturations.
% 0.18/0.39  # There were 0 successful branch saturations in interreduction.
% 0.18/0.39  # There were 0 successful branch saturations on the branch.
% 0.18/0.39  # There were 2 successful branch saturations after the branch.
% 0.18/0.39  # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.39  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.39  # Begin clausification derivation
% 0.18/0.39  
% 0.18/0.39  # End clausification derivation
% 0.18/0.39  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.18/0.39  cnf(i_0_48, hypothesis, (aElement0(xb))).
% 0.18/0.39  cnf(i_0_44, hypothesis, (aRewritingSystem0(xR))).
% 0.18/0.39  cnf(i_0_46, hypothesis, (isLocallyConfluent0(xR))).
% 0.18/0.39  cnf(i_0_45, hypothesis, (isTerminating0(xR))).
% 0.18/0.39  cnf(i_0_49, hypothesis, (aElement0(xa))).
% 0.18/0.39  cnf(i_0_47, hypothesis, (aElement0(xc))).
% 0.18/0.39  cnf(i_0_57, hypothesis, (aElement0(xu))).
% 0.18/0.39  cnf(i_0_60, hypothesis, (aElement0(xv))).
% 0.18/0.39  cnf(i_0_63, hypothesis, (aElement0(xw))).
% 0.18/0.39  cnf(i_0_67, hypothesis, (aElement0(xx))).
% 0.18/0.39  cnf(i_0_66, hypothesis, (sdtmndtasgtdt0(xb,xR,xx))).
% 0.18/0.39  cnf(i_0_55, hypothesis, (sdtmndtasgtdt0(xu,xR,xb))).
% 0.18/0.39  cnf(i_0_65, hypothesis, (sdtmndtasgtdt0(xd,xR,xx))).
% 0.18/0.39  cnf(i_0_54, hypothesis, (sdtmndtplgtdt0(xa,xR,xb))).
% 0.18/0.39  cnf(i_0_62, hypothesis, (sdtmndtasgtdt0(xu,xR,xw))).
% 0.18/0.39  cnf(i_0_58, hypothesis, (sdtmndtasgtdt0(xv,xR,xc))).
% 0.18/0.39  cnf(i_0_56, hypothesis, (aReductOfIn0(xu,xa,xR))).
% 0.18/0.39  cnf(i_0_61, hypothesis, (sdtmndtasgtdt0(xv,xR,xw))).
% 0.18/0.39  cnf(i_0_64, hypothesis, (aNormalFormOfIn0(xd,xw,xR))).
% 0.18/0.39  cnf(i_0_59, hypothesis, (aReductOfIn0(xv,xa,xR))).
% 0.18/0.39  cnf(i_0_53, hypothesis, (sdtmndtplgtdt0(xa,xR,xc))).
% 0.18/0.39  cnf(i_0_68, negated_conjecture, (~sdtmndtasgtdt0(xb,xR,xd))).
% 0.18/0.39  cnf(i_0_21, plain, (isConfluent0(X1)|aElement0(esk3_1(X1))|~aRewritingSystem0(X1))).
% 0.18/0.39  cnf(i_0_3, plain, (aElement0(X1)|~aReductOfIn0(X1,X2,X3)|~aRewritingSystem0(X3)|~aElement0(X2))).
% 0.18/0.39  cnf(i_0_42, plain, (aElement0(X1)|~aNormalFormOfIn0(X1,X2,X3)|~aRewritingSystem0(X3)|~aElement0(X2))).
% 0.18/0.39  cnf(i_0_34, plain, (isTerminating0(X1)|~iLess0(esk11_1(X1),esk10_1(X1))|~aRewritingSystem0(X1))).
% 0.18/0.39  cnf(i_0_20, plain, (isConfluent0(X1)|aElement0(esk4_1(X1))|~aRewritingSystem0(X1))).
% 0.18/0.39  cnf(i_0_19, plain, (isConfluent0(X1)|aElement0(esk5_1(X1))|~aRewritingSystem0(X1))).
% 0.18/0.39  cnf(i_0_30, plain, (isLocallyConfluent0(X1)|aElement0(esk7_1(X1))|~aRewritingSystem0(X1))).
% 0.18/0.39  cnf(i_0_40, plain, (~aNormalFormOfIn0(X1,X2,X3)|~aReductOfIn0(X4,X1,X3)|~aRewritingSystem0(X3)|~aElement0(X2))).
% 0.18/0.39  cnf(i_0_29, plain, (isLocallyConfluent0(X1)|aElement0(esk8_1(X1))|~aRewritingSystem0(X1))).
% 0.18/0.39  cnf(i_0_28, plain, (isLocallyConfluent0(X1)|aElement0(esk9_1(X1))|~aRewritingSystem0(X1))).
% 0.18/0.39  cnf(i_0_37, plain, (isTerminating0(X1)|aElement0(esk10_1(X1))|~aRewritingSystem0(X1))).
% 0.18/0.39  cnf(i_0_36, plain, (isTerminating0(X1)|aElement0(esk11_1(X1))|~aRewritingSystem0(X1))).
% 0.18/0.39  cnf(i_0_41, plain, (sdtmndtasgtdt0(X1,X2,X3)|~aNormalFormOfIn0(X3,X1,X2)|~aRewritingSystem0(X2)|~aElement0(X1))).
% 0.18/0.39  cnf(i_0_13, plain, (sdtmndtasgtdt0(X1,X2,X1)|~aRewritingSystem0(X2)|~aElement0(X1))).
% 0.18/0.39  cnf(i_0_18, plain, (isConfluent0(X1)|sdtmndtasgtdt0(esk3_1(X1),X1,esk4_1(X1))|~aRewritingSystem0(X1))).
% 0.18/0.39  cnf(i_0_17, plain, (isConfluent0(X1)|sdtmndtasgtdt0(esk3_1(X1),X1,esk5_1(X1))|~aRewritingSystem0(X1))).
% 0.18/0.39  cnf(i_0_35, plain, (isTerminating0(X1)|sdtmndtplgtdt0(esk10_1(X1),X1,esk11_1(X1))|~aRewritingSystem0(X1))).
% 0.18/0.39  cnf(i_0_12, plain, (sdtmndtasgtdt0(X1,X2,X3)|~sdtmndtplgtdt0(X1,X2,X3)|~aRewritingSystem0(X2)|~aElement0(X3)|~aElement0(X1))).
% 0.18/0.39  cnf(i_0_16, plain, (isConfluent0(X1)|~sdtmndtasgtdt0(esk4_1(X1),X1,X2)|~sdtmndtasgtdt0(esk5_1(X1),X1,X2)|~aRewritingSystem0(X1)|~aElement0(X2))).
% 0.18/0.39  cnf(i_0_25, plain, (isLocallyConfluent0(X1)|~sdtmndtasgtdt0(esk8_1(X1),X1,X2)|~sdtmndtasgtdt0(esk9_1(X1),X1,X2)|~aRewritingSystem0(X1)|~aElement0(X2))).
% 0.18/0.39  cnf(i_0_7, plain, (sdtmndtplgtdt0(X1,X2,X3)|~aReductOfIn0(X3,X1,X2)|~aRewritingSystem0(X2)|~aElement0(X1))).
% 0.18/0.39  cnf(i_0_27, plain, (isLocallyConfluent0(X1)|aReductOfIn0(esk8_1(X1),esk7_1(X1),X1)|~aRewritingSystem0(X1))).
% 0.18/0.39  cnf(i_0_26, plain, (isLocallyConfluent0(X1)|aReductOfIn0(esk9_1(X1),esk7_1(X1),X1)|~aRewritingSystem0(X1))).
% 0.18/0.39  cnf(i_0_43, plain, (aNormalFormOfIn0(esk13_2(X1,X2),X2,X1)|~isTerminating0(X1)|~aRewritingSystem0(X1)|~aElement0(X2))).
% 0.18/0.39  cnf(i_0_14, plain, (X1=X2|sdtmndtplgtdt0(X1,X3,X2)|~sdtmndtasgtdt0(X1,X3,X2)|~aRewritingSystem0(X3)|~aElement0(X2)|~aElement0(X1))).
% 0.18/0.39  cnf(i_0_38, plain, (iLess0(X1,X2)|~isTerminating0(X3)|~sdtmndtplgtdt0(X2,X3,X1)|~aRewritingSystem0(X3)|~aElement0(X1)|~aElement0(X2))).
% 0.18/0.39  cnf(i_0_6, plain, (sdtmndtplgtdt0(X1,X2,X3)|~sdtmndtplgtdt0(X4,X2,X3)|~aReductOfIn0(X4,X1,X2)|~aRewritingSystem0(X2)|~aElement0(X3)|~aElement0(X1))).
% 0.18/0.39  cnf(i_0_10, plain, (aReductOfIn0(X1,X2,X3)|aElement0(esk1_3(X2,X3,X1))|~sdtmndtplgtdt0(X2,X3,X1)|~aRewritingSystem0(X3)|~aElement0(X1)|~aElement0(X2))).
% 0.18/0.39  cnf(i_0_11, plain, (sdtmndtplgtdt0(X1,X2,X3)|~sdtmndtplgtdt0(X4,X2,X3)|~sdtmndtplgtdt0(X1,X2,X4)|~aRewritingSystem0(X2)|~aElement0(X3)|~aElement0(X4)|~aElement0(X1))).
% 0.18/0.39  cnf(i_0_15, plain, (sdtmndtasgtdt0(X1,X2,X3)|~sdtmndtasgtdt0(X4,X2,X3)|~sdtmndtasgtdt0(X1,X2,X4)|~aRewritingSystem0(X2)|~aElement0(X3)|~aElement0(X4)|~aElement0(X1))).
% 0.18/0.39  cnf(i_0_52, hypothesis, (aElement0(esk14_3(X1,X2,X3))|~sdtmndtasgtdt0(X1,xR,X3)|~sdtmndtasgtdt0(X1,xR,X2)|~iLess0(X1,xa)|~aElement0(X3)|~aElement0(X2)|~aElement0(X1))).
% 0.18/0.39  cnf(i_0_24, plain, (aElement0(esk2_4(X1,X2,X3,X4))|~isConfluent0(X1)|~sdtmndtasgtdt0(X2,X1,X4)|~sdtmndtasgtdt0(X2,X1,X3)|~aRewritingSystem0(X1)|~aElement0(X4)|~aElement0(X3)|~aElement0(X2))).
% 0.18/0.39  cnf(i_0_39, plain, (aNormalFormOfIn0(X1,X2,X3)|aReductOfIn0(esk12_3(X2,X3,X1),X1,X3)|~sdtmndtasgtdt0(X2,X3,X1)|~aRewritingSystem0(X3)|~aElement0(X2)|~aElement0(X1))).
% 0.18/0.39  cnf(i_0_50, hypothesis, (sdtmndtasgtdt0(X1,xR,esk14_3(X2,X3,X1))|~sdtmndtasgtdt0(X2,xR,X3)|~sdtmndtasgtdt0(X2,xR,X1)|~iLess0(X2,xa)|~aElement0(X3)|~aElement0(X2)|~aElement0(X1))).
% 0.18/0.39  cnf(i_0_51, hypothesis, (sdtmndtasgtdt0(X1,xR,esk14_3(X2,X1,X3))|~sdtmndtasgtdt0(X2,xR,X3)|~sdtmndtasgtdt0(X2,xR,X1)|~iLess0(X2,xa)|~aElement0(X3)|~aElement0(X2)|~aElement0(X1))).
% 0.18/0.39  cnf(i_0_33, plain, (aElement0(esk6_4(X1,X2,X3,X4))|~isLocallyConfluent0(X1)|~aReductOfIn0(X4,X2,X1)|~aReductOfIn0(X3,X2,X1)|~aRewritingSystem0(X1)|~aElement0(X2))).
% 0.18/0.39  cnf(i_0_9, plain, (aReductOfIn0(esk1_3(X1,X2,X3),X1,X2)|aReductOfIn0(X3,X1,X2)|~sdtmndtplgtdt0(X1,X2,X3)|~aRewritingSystem0(X2)|~aElement0(X3)|~aElement0(X1))).
% 0.18/0.39  cnf(i_0_8, plain, (sdtmndtplgtdt0(esk1_3(X1,X2,X3),X2,X3)|aReductOfIn0(X3,X1,X2)|~sdtmndtplgtdt0(X1,X2,X3)|~aRewritingSystem0(X2)|~aElement0(X3)|~aElement0(X1))).
% 0.18/0.39  cnf(i_0_22, plain, (sdtmndtasgtdt0(X1,X2,esk2_4(X2,X3,X4,X1))|~isConfluent0(X2)|~sdtmndtasgtdt0(X3,X2,X4)|~sdtmndtasgtdt0(X3,X2,X1)|~aRewritingSystem0(X2)|~aElement0(X4)|~aElement0(X3)|~aElement0(X1))).
% 0.18/0.39  cnf(i_0_23, plain, (sdtmndtasgtdt0(X1,X2,esk2_4(X2,X3,X1,X4))|~isConfluent0(X2)|~sdtmndtasgtdt0(X3,X2,X4)|~sdtmndtasgtdt0(X3,X2,X1)|~aRewritingSystem0(X2)|~aElement0(X4)|~aElement0(X3)|~aElement0(X1))).
% 0.18/0.39  cnf(i_0_31, plain, (sdtmndtasgtdt0(X1,X2,esk6_4(X2,X3,X4,X1))|~isLocallyConfluent0(X2)|~aReductOfIn0(X4,X3,X2)|~aReductOfIn0(X1,X3,X2)|~aRewritingSystem0(X2)|~aElement0(X3))).
% 0.18/0.39  cnf(i_0_32, plain, (sdtmndtasgtdt0(X1,X2,esk6_4(X2,X3,X1,X4))|~isLocallyConfluent0(X2)|~aReductOfIn0(X4,X3,X2)|~aReductOfIn0(X1,X3,X2)|~aRewritingSystem0(X2)|~aElement0(X3))).
% 0.18/0.39  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.18/0.39  # Begin printing tableau
% 0.18/0.39  # Found 11 steps
% 0.18/0.39  cnf(i_0_68, negated_conjecture, (~sdtmndtasgtdt0(xb,xR,xd)), inference(start_rule)).
% 0.18/0.39  cnf(i_0_70, plain, (~sdtmndtasgtdt0(xb,xR,xd)), inference(extension_rule, [i_0_15])).
% 0.18/0.39  cnf(i_0_188, plain, (~sdtmndtasgtdt0(xb,xR,xx)), inference(closure_rule, [i_0_66])).
% 0.18/0.39  cnf(i_0_189, plain, (~aRewritingSystem0(xR)), inference(closure_rule, [i_0_44])).
% 0.18/0.39  cnf(i_0_191, plain, (~aElement0(xx)), inference(closure_rule, [i_0_67])).
% 0.18/0.39  cnf(i_0_192, plain, (~aElement0(xb)), inference(closure_rule, [i_0_48])).
% 0.18/0.39  cnf(i_0_190, plain, (~aElement0(xd)), inference(extension_rule, [i_0_3])).
% 0.18/0.39  cnf(i_0_482, plain, (~aRewritingSystem0(xR)), inference(closure_rule, [i_0_44])).
% 0.18/0.39  cnf(i_0_483, plain, (~aElement0(xb)), inference(closure_rule, [i_0_48])).
% 0.18/0.39  cnf(i_0_187, plain, (~sdtmndtasgtdt0(xx,xR,xd)), inference(etableau_closure_rule, [i_0_187, ...])).
% 0.18/0.39  cnf(i_0_481, plain, (~aReductOfIn0(xd,xb,xR)), inference(etableau_closure_rule, [i_0_481, ...])).
% 0.18/0.39  # End printing tableau
% 0.18/0.39  # SZS output end
% 0.18/0.39  # Branches closed with saturation will be marked with an "s"
% 0.18/0.39  # Returning from population with 3 new_tableaux and 0 remaining starting tableaux.
% 0.18/0.39  # We now have 3 tableaux to operate on
% 0.18/0.39  # Found closed tableau during pool population.
% 0.18/0.39  # Proof search is over...
% 0.18/0.39  # Freeing feature tree
%------------------------------------------------------------------------------