TSTP Solution File: COM013+4 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : COM013+4 : 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 : n010.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 01:14:57 EDT 2022

% Result   : Theorem 0.11s 0.39s
% Output   : CNFRefutation 0.11s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : COM013+4 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.11/0.33  % Computer : n010.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Thu Jun 16 16:59:38 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.11/0.36  # No SInE strategy applied
% 0.11/0.36  # Auto-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y
% 0.11/0.36  # and selection function SelectMaxLComplexAvoidPosPred.
% 0.11/0.36  #
% 0.11/0.36  # Number of axioms: 58 Number of unprocessed: 58
% 0.11/0.36  # Tableaux proof search.
% 0.11/0.36  # APR header successfully linked.
% 0.11/0.36  # Hello from C++
% 0.11/0.37  # The folding up rule is enabled...
% 0.11/0.37  # Local unification is enabled...
% 0.11/0.37  # Any saturation attempts will use folding labels...
% 0.11/0.37  # 58 beginning clauses after preprocessing and clausification
% 0.11/0.37  # Creating start rules for all 15 conjectures.
% 0.11/0.37  # There are 15 start rule candidates:
% 0.11/0.37  # Found 4 unit axioms.
% 0.11/0.37  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.11/0.37  # 15 start rule tableaux created.
% 0.11/0.37  # 54 extension rule candidate clauses
% 0.11/0.37  # 4 unit axiom clauses
% 0.11/0.37  
% 0.11/0.37  # Requested 8, 32 cores available to the main process.
% 0.11/0.38  # Creating equality axioms
% 0.11/0.38  # Ran out of tableaux, making start rules for all clauses
% 0.11/0.39  # There were 4 total branch saturation attempts.
% 0.11/0.39  # There were 0 of these attempts blocked.
% 0.11/0.39  # There were 0 deferred branch saturation attempts.
% 0.11/0.39  # There were 0 free duplicated saturations.
% 0.11/0.39  # There were 4 total successful branch saturations.
% 0.11/0.39  # There were 0 successful branch saturations in interreduction.
% 0.11/0.39  # There were 0 successful branch saturations on the branch.
% 0.11/0.39  # There were 4 successful branch saturations after the branch.
% 0.11/0.39  # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.39  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.39  # Begin clausification derivation
% 0.11/0.39  
% 0.11/0.39  # End clausification derivation
% 0.11/0.39  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.11/0.39  cnf(i_0_62, negated_conjecture, (aElement0(esk13_0))).
% 0.11/0.39  cnf(i_0_47, hypothesis, (aRewritingSystem0(xR))).
% 0.11/0.39  cnf(i_0_43, hypothesis, (isTerminating0(xR))).
% 0.11/0.39  cnf(i_0_21, plain, (isConfluent0(X1)|aElement0(esk3_1(X1))|~aRewritingSystem0(X1))).
% 0.11/0.39  cnf(i_0_20, plain, (isConfluent0(X1)|aElement0(esk4_1(X1))|~aRewritingSystem0(X1))).
% 0.11/0.39  cnf(i_0_19, plain, (isConfluent0(X1)|aElement0(esk5_1(X1))|~aRewritingSystem0(X1))).
% 0.11/0.39  cnf(i_0_30, plain, (isLocallyConfluent0(X1)|aElement0(esk7_1(X1))|~aRewritingSystem0(X1))).
% 0.11/0.39  cnf(i_0_29, plain, (isLocallyConfluent0(X1)|aElement0(esk8_1(X1))|~aRewritingSystem0(X1))).
% 0.11/0.39  cnf(i_0_28, plain, (isLocallyConfluent0(X1)|aElement0(esk9_1(X1))|~aRewritingSystem0(X1))).
% 0.11/0.39  cnf(i_0_37, plain, (isTerminating0(X1)|aElement0(esk10_1(X1))|~aRewritingSystem0(X1))).
% 0.11/0.39  cnf(i_0_36, plain, (isTerminating0(X1)|aElement0(esk11_1(X1))|~aRewritingSystem0(X1))).
% 0.11/0.39  cnf(i_0_61, negated_conjecture, (aElement0(esk14_1(X1))|~aElement0(X1)|~iLess0(X1,esk13_0))).
% 0.11/0.39  cnf(i_0_34, plain, (isTerminating0(X1)|~aRewritingSystem0(X1)|~iLess0(esk11_1(X1),esk10_1(X1)))).
% 0.11/0.39  cnf(i_0_53, negated_conjecture, (aReductOfIn0(esk16_1(X1),X1,xR)|esk13_0!=X1|~aElement0(X1))).
% 0.11/0.39  cnf(i_0_18, plain, (isConfluent0(X1)|sdtmndtasgtdt0(esk3_1(X1),X1,esk4_1(X1))|~aRewritingSystem0(X1))).
% 0.11/0.39  cnf(i_0_17, plain, (isConfluent0(X1)|sdtmndtasgtdt0(esk3_1(X1),X1,esk5_1(X1))|~aRewritingSystem0(X1))).
% 0.11/0.39  cnf(i_0_35, plain, (isTerminating0(X1)|sdtmndtplgtdt0(esk10_1(X1),X1,esk11_1(X1))|~aRewritingSystem0(X1))).
% 0.11/0.39  cnf(i_0_27, plain, (isLocallyConfluent0(X1)|aReductOfIn0(esk8_1(X1),esk7_1(X1),X1)|~aRewritingSystem0(X1))).
% 0.11/0.39  cnf(i_0_26, plain, (isLocallyConfluent0(X1)|aReductOfIn0(esk9_1(X1),esk7_1(X1),X1)|~aRewritingSystem0(X1))).
% 0.11/0.39  cnf(i_0_13, plain, (sdtmndtasgtdt0(X1,X3,X2)|X1!=X2|~aElement0(X2)|~aElement0(X1)|~aRewritingSystem0(X3))).
% 0.11/0.39  cnf(i_0_48, negated_conjecture, (~aNormalFormOfIn0(X1,esk13_0,xR))).
% 0.11/0.39  cnf(i_0_56, negated_conjecture, (sdtmndtasgtdt0(X1,xR,esk14_1(X1))|~aElement0(X1)|~iLess0(X1,esk13_0))).
% 0.11/0.39  cnf(i_0_54, negated_conjecture, (aNormalFormOfIn0(esk14_1(X1),X1,xR)|~aElement0(X1)|~iLess0(X1,esk13_0))).
% 0.11/0.39  cnf(i_0_57, negated_conjecture, (esk14_1(X1)=X1|sdtmndtplgtdt0(X1,xR,esk14_1(X1))|~aElement0(X1)|~iLess0(X1,esk13_0))).
% 0.11/0.39  cnf(i_0_60, negated_conjecture, (esk14_1(X1)=X1|aElement0(esk15_1(X1))|aReductOfIn0(esk14_1(X1),X1,xR)|~aElement0(X1)|~iLess0(X1,esk13_0))).
% 0.11/0.39  cnf(i_0_3, plain, (aElement0(X3)|~aElement0(X1)|~aRewritingSystem0(X2)|~aReductOfIn0(X3,X1,X2))).
% 0.11/0.39  cnf(i_0_42, plain, (aElement0(X1)|~aElement0(X2)|~aRewritingSystem0(X3)|~aNormalFormOfIn0(X1,X2,X3))).
% 0.11/0.39  cnf(i_0_46, hypothesis, (iLess0(X1,X2)|~aElement0(X2)|~aElement0(X1)|~aReductOfIn0(X1,X2,xR))).
% 0.11/0.39  cnf(i_0_44, hypothesis, (iLess0(X2,X1)|~aElement0(X2)|~aElement0(X1)|~sdtmndtplgtdt0(X1,xR,X2))).
% 0.11/0.39  cnf(i_0_55, negated_conjecture, (~aElement0(X2)|~iLess0(X2,esk13_0)|~aReductOfIn0(X1,esk14_1(X2),xR))).
% 0.11/0.39  cnf(i_0_38, plain, (iLess0(X3,X2)|~aElement0(X3)|~aElement0(X2)|~aRewritingSystem0(X1)|~isTerminating0(X1)|~sdtmndtplgtdt0(X2,X1,X3))).
% 0.11/0.39  cnf(i_0_52, negated_conjecture, (aReductOfIn0(esk16_1(X1),X1,xR)|~aElement0(X1)|~aReductOfIn0(X1,esk13_0,xR))).
% 0.11/0.39  cnf(i_0_50, negated_conjecture, (aReductOfIn0(esk16_1(X1),X1,xR)|~aElement0(X1)|~sdtmndtplgtdt0(esk13_0,xR,X1))).
% 0.11/0.39  cnf(i_0_49, negated_conjecture, (aReductOfIn0(esk16_1(X1),X1,xR)|~aElement0(X1)|~sdtmndtasgtdt0(esk13_0,xR,X1))).
% 0.11/0.39  cnf(i_0_59, negated_conjecture, (esk14_1(X1)=X1|aReductOfIn0(esk14_1(X1),X1,xR)|aReductOfIn0(esk15_1(X1),X1,xR)|~aElement0(X1)|~iLess0(X1,esk13_0))).
% 0.11/0.39  cnf(i_0_41, plain, (sdtmndtasgtdt0(X1,X2,X3)|~aElement0(X1)|~aRewritingSystem0(X2)|~aNormalFormOfIn0(X3,X1,X2))).
% 0.11/0.39  cnf(i_0_58, negated_conjecture, (esk14_1(X1)=X1|aReductOfIn0(esk14_1(X1),X1,xR)|sdtmndtplgtdt0(esk15_1(X1),xR,esk14_1(X1))|~aElement0(X1)|~iLess0(X1,esk13_0))).
% 0.11/0.39  cnf(i_0_7, plain, (sdtmndtplgtdt0(X2,X3,X1)|~aElement0(X2)|~aElement0(X1)|~aRewritingSystem0(X3)|~aReductOfIn0(X1,X2,X3))).
% 0.11/0.39  cnf(i_0_12, plain, (sdtmndtasgtdt0(X1,X2,X3)|~aElement0(X3)|~aElement0(X1)|~aRewritingSystem0(X2)|~sdtmndtplgtdt0(X1,X2,X3))).
% 0.11/0.39  cnf(i_0_14, plain, (X1=X3|sdtmndtplgtdt0(X1,X2,X3)|~aElement0(X3)|~aElement0(X1)|~aRewritingSystem0(X2)|~sdtmndtasgtdt0(X1,X2,X3))).
% 0.11/0.39  cnf(i_0_40, plain, (~aElement0(X4)|~aRewritingSystem0(X3)|~aReductOfIn0(X1,X2,X3)|~aNormalFormOfIn0(X2,X4,X3))).
% 0.11/0.39  cnf(i_0_45, hypothesis, (iLess0(X3,X2)|~aElement0(X3)|~aElement0(X2)|~aElement0(X1)|~aReductOfIn0(X1,X2,xR)|~sdtmndtplgtdt0(X1,xR,X3))).
% 0.11/0.39  cnf(i_0_16, plain, (isConfluent0(X2)|~aElement0(X1)|~aRewritingSystem0(X2)|~sdtmndtasgtdt0(esk4_1(X2),X2,X1)|~sdtmndtasgtdt0(esk5_1(X2),X2,X1))).
% 0.11/0.39  cnf(i_0_25, plain, (isLocallyConfluent0(X2)|~aElement0(X1)|~aRewritingSystem0(X2)|~sdtmndtasgtdt0(esk8_1(X2),X2,X1)|~sdtmndtasgtdt0(esk9_1(X2),X2,X1))).
% 0.11/0.39  cnf(i_0_51, negated_conjecture, (aReductOfIn0(esk16_1(X2),X2,xR)|~aElement0(X2)|~aElement0(X1)|~sdtmndtplgtdt0(X1,xR,X2)|~aReductOfIn0(X1,esk13_0,xR))).
% 0.11/0.39  cnf(i_0_6, plain, (sdtmndtplgtdt0(X2,X3,X4)|~aElement0(X4)|~aElement0(X2)|~aElement0(X1)|~aRewritingSystem0(X3)|~aReductOfIn0(X1,X2,X3)|~sdtmndtplgtdt0(X1,X3,X4))).
% 0.11/0.39  cnf(i_0_11, plain, (sdtmndtplgtdt0(X1,X2,X4)|~aElement0(X4)|~aElement0(X3)|~aElement0(X1)|~aRewritingSystem0(X2)|~sdtmndtplgtdt0(X3,X2,X4)|~sdtmndtplgtdt0(X1,X2,X3))).
% 0.11/0.39  cnf(i_0_15, plain, (sdtmndtasgtdt0(X1,X2,X4)|~aElement0(X4)|~aElement0(X3)|~aElement0(X1)|~aRewritingSystem0(X2)|~sdtmndtasgtdt0(X3,X2,X4)|~sdtmndtasgtdt0(X1,X2,X3))).
% 0.11/0.39  cnf(i_0_10, plain, (aReductOfIn0(X3,X1,X2)|aElement0(esk1_3(X1,X2,X3))|~aElement0(X3)|~aElement0(X1)|~aRewritingSystem0(X2)|~sdtmndtplgtdt0(X1,X2,X3))).
% 0.11/0.39  cnf(i_0_9, plain, (aReductOfIn0(X3,X1,X2)|aReductOfIn0(esk1_3(X1,X2,X3),X1,X2)|~aElement0(X3)|~aElement0(X1)|~aRewritingSystem0(X2)|~sdtmndtplgtdt0(X1,X2,X3))).
% 0.11/0.39  cnf(i_0_8, plain, (aReductOfIn0(X3,X1,X2)|sdtmndtplgtdt0(esk1_3(X1,X2,X3),X2,X3)|~aElement0(X3)|~aElement0(X1)|~aRewritingSystem0(X2)|~sdtmndtplgtdt0(X1,X2,X3))).
% 0.11/0.39  cnf(i_0_39, plain, (aNormalFormOfIn0(X1,X2,X3)|aReductOfIn0(esk12_3(X2,X3,X1),X1,X3)|~aElement0(X2)|~aElement0(X1)|~aRewritingSystem0(X3)|~sdtmndtasgtdt0(X2,X3,X1))).
% 0.11/0.39  cnf(i_0_24, plain, (aElement0(esk2_4(X1,X2,X3,X4))|~aElement0(X4)|~aElement0(X3)|~aElement0(X2)|~aRewritingSystem0(X1)|~isConfluent0(X1)|~sdtmndtasgtdt0(X2,X1,X4)|~sdtmndtasgtdt0(X2,X1,X3))).
% 0.11/0.39  cnf(i_0_33, plain, (aElement0(esk6_4(X1,X2,X3,X4))|~aElement0(X4)|~aElement0(X3)|~aElement0(X2)|~aRewritingSystem0(X1)|~isLocallyConfluent0(X1)|~aReductOfIn0(X4,X2,X1)|~aReductOfIn0(X3,X2,X1))).
% 0.11/0.39  cnf(i_0_22, plain, (sdtmndtasgtdt0(X1,X2,esk2_4(X2,X3,X4,X1))|~aElement0(X4)|~aElement0(X3)|~aElement0(X1)|~aRewritingSystem0(X2)|~isConfluent0(X2)|~sdtmndtasgtdt0(X3,X2,X4)|~sdtmndtasgtdt0(X3,X2,X1))).
% 0.11/0.39  cnf(i_0_23, plain, (sdtmndtasgtdt0(X1,X2,esk2_4(X2,X3,X1,X4))|~aElement0(X4)|~aElement0(X3)|~aElement0(X1)|~aRewritingSystem0(X2)|~isConfluent0(X2)|~sdtmndtasgtdt0(X3,X2,X4)|~sdtmndtasgtdt0(X3,X2,X1))).
% 0.11/0.39  cnf(i_0_31, plain, (sdtmndtasgtdt0(X1,X2,esk6_4(X2,X3,X4,X1))|~aElement0(X4)|~aElement0(X3)|~aElement0(X1)|~aRewritingSystem0(X2)|~isLocallyConfluent0(X2)|~aReductOfIn0(X4,X3,X2)|~aReductOfIn0(X1,X3,X2))).
% 0.11/0.39  cnf(i_0_32, plain, (sdtmndtasgtdt0(X1,X2,esk6_4(X2,X3,X1,X4))|~aElement0(X4)|~aElement0(X3)|~aElement0(X1)|~aRewritingSystem0(X2)|~isLocallyConfluent0(X2)|~aReductOfIn0(X4,X3,X2)|~aReductOfIn0(X1,X3,X2))).
% 0.11/0.39  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.11/0.39  # Begin printing tableau
% 0.11/0.39  # Found 11 steps
% 0.11/0.39  cnf(i_0_48, negated_conjecture, (~aNormalFormOfIn0(esk13_0,esk13_0,xR)), inference(start_rule)).
% 0.11/0.39  cnf(i_0_105, plain, (~aNormalFormOfIn0(esk13_0,esk13_0,xR)), inference(extension_rule, [i_0_39])).
% 0.11/0.39  cnf(i_0_1352, plain, (~aElement0(esk13_0)), inference(closure_rule, [i_0_62])).
% 0.11/0.39  cnf(i_0_1353, plain, (~aElement0(esk13_0)), inference(closure_rule, [i_0_62])).
% 0.11/0.39  cnf(i_0_1354, plain, (~aRewritingSystem0(xR)), inference(closure_rule, [i_0_47])).
% 0.11/0.39  cnf(i_0_1351, plain, (aReductOfIn0(esk12_3(esk13_0,xR,esk13_0),esk13_0,xR)), inference(extension_rule, [i_0_51])).
% 0.11/0.39  cnf(i_0_1549, plain, (~aElement0(esk13_0)), inference(closure_rule, [i_0_62])).
% 0.11/0.39  cnf(i_0_1355, plain, (~sdtmndtasgtdt0(esk13_0,xR,esk13_0)), inference(etableau_closure_rule, [i_0_1355, ...])).
% 0.11/0.39  cnf(i_0_1548, plain, (aReductOfIn0(esk16_1(esk13_0),esk13_0,xR)), inference(etableau_closure_rule, [i_0_1548, ...])).
% 0.11/0.39  cnf(i_0_1550, plain, (~aElement0(esk12_3(esk13_0,xR,esk13_0))), inference(etableau_closure_rule, [i_0_1550, ...])).
% 0.11/0.39  cnf(i_0_1551, plain, (~sdtmndtplgtdt0(esk12_3(esk13_0,xR,esk13_0),xR,esk13_0)), inference(etableau_closure_rule, [i_0_1551, ...])).
% 0.11/0.39  # End printing tableau
% 0.11/0.39  # SZS output end
% 0.11/0.39  # Branches closed with saturation will be marked with an "s"
% 0.11/0.39  # Child (28817) has found a proof.
% 0.11/0.39  
% 0.11/0.39  # Proof search is over...
% 0.11/0.39  # Freeing feature tree
%------------------------------------------------------------------------------