TSTP Solution File: COM012+3 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : COM012+3 : 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 : n032.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 0.12s 0.35s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : COM012+3 : 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
% 0.12/0.32  % Computer : n032.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Thu Jun 16 19:37:15 EDT 2022
% 0.12/0.32  % CPUTime  : 
% 0.12/0.34  # No SInE strategy applied
% 0.12/0.34  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S032N
% 0.12/0.34  # and selection function SelectUnlessUniqMax.
% 0.12/0.34  #
% 0.12/0.34  # Presaturation interreduction done
% 0.12/0.34  # Number of axioms: 29 Number of unprocessed: 29
% 0.12/0.34  # Tableaux proof search.
% 0.12/0.34  # APR header successfully linked.
% 0.12/0.34  # Hello from C++
% 0.12/0.34  # The folding up rule is enabled...
% 0.12/0.34  # Local unification is enabled...
% 0.12/0.34  # Any saturation attempts will use folding labels...
% 0.12/0.34  # 29 beginning clauses after preprocessing and clausification
% 0.12/0.34  # Creating start rules for all 15 conjectures.
% 0.12/0.34  # There are 15 start rule candidates:
% 0.12/0.34  # Found 10 unit axioms.
% 0.12/0.34  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.12/0.34  # 15 start rule tableaux created.
% 0.12/0.34  # 19 extension rule candidate clauses
% 0.12/0.34  # 10 unit axiom clauses
% 0.12/0.34  
% 0.12/0.34  # Requested 8, 32 cores available to the main process.
% 0.12/0.35  # Creating equality axioms
% 0.12/0.35  # Ran out of tableaux, making start rules for all clauses
% 0.12/0.35  # Creating equality axioms
% 0.12/0.35  # Ran out of tableaux, making start rules for all clauses
% 0.12/0.35  # Creating equality axioms
% 0.12/0.35  # Ran out of tableaux, making start rules for all clauses
% 0.12/0.35  # Creating equality axioms
% 0.12/0.35  # Ran out of tableaux, making start rules for all clauses
% 0.12/0.35  # There were 3 total branch saturation attempts.
% 0.12/0.35  # There were 0 of these attempts blocked.
% 0.12/0.35  # There were 0 deferred branch saturation attempts.
% 0.12/0.35  # There were 0 free duplicated saturations.
% 0.12/0.35  # There were 3 total successful branch saturations.
% 0.12/0.35  # There were 1 successful branch saturations in interreduction.
% 0.12/0.35  # There were 0 successful branch saturations on the branch.
% 0.12/0.35  # There were 2 successful branch saturations after the branch.
% 0.12/0.35  # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35  # Begin clausification derivation
% 0.12/0.35  
% 0.12/0.35  # End clausification derivation
% 0.12/0.35  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.12/0.35  cnf(i_0_18, hypothesis, (aElement0(xx))).
% 0.12/0.35  cnf(i_0_16, hypothesis, (aElement0(xy))).
% 0.12/0.35  cnf(i_0_15, hypothesis, (aElement0(xz))).
% 0.12/0.35  cnf(i_0_17, hypothesis, (aRewritingSystem0(xR))).
% 0.12/0.35  cnf(i_0_29, negated_conjecture, (sdtmndtasgtdt0(xx,xR,xy))).
% 0.12/0.35  cnf(i_0_24, negated_conjecture, (sdtmndtasgtdt0(xy,xR,xz))).
% 0.12/0.35  cnf(i_0_23, negated_conjecture, (xx!=xz)).
% 0.12/0.35  cnf(i_0_22, negated_conjecture, (~aReductOfIn0(xz,xx,xR))).
% 0.12/0.35  cnf(i_0_20, negated_conjecture, (~sdtmndtplgtdt0(xx,xR,xz))).
% 0.12/0.35  cnf(i_0_19, negated_conjecture, (~sdtmndtasgtdt0(xx,xR,xz))).
% 0.12/0.35  cnf(i_0_21, negated_conjecture, (~sdtmndtplgtdt0(X1,xR,xz)|~aReductOfIn0(X1,xx,xR)|~aElement0(X1))).
% 0.12/0.35  cnf(i_0_30, negated_conjecture, (xx=xy|sdtmndtplgtdt0(xx,xR,xy))).
% 0.12/0.35  cnf(i_0_25, negated_conjecture, (xz=xy|sdtmndtplgtdt0(xy,xR,xz))).
% 0.12/0.35  cnf(i_0_33, negated_conjecture, (xx=xy|aReductOfIn0(xy,xx,xR)|aElement0(esk2_0))).
% 0.12/0.35  cnf(i_0_28, negated_conjecture, (xz=xy|aReductOfIn0(xz,xy,xR)|aElement0(esk3_0))).
% 0.12/0.35  cnf(i_0_32, negated_conjecture, (xx=xy|aReductOfIn0(esk2_0,xx,xR)|aReductOfIn0(xy,xx,xR))).
% 0.12/0.35  cnf(i_0_31, negated_conjecture, (xx=xy|sdtmndtplgtdt0(esk2_0,xR,xy)|aReductOfIn0(xy,xx,xR))).
% 0.12/0.35  cnf(i_0_3, plain, (aElement0(X1)|~aReductOfIn0(X1,X2,X3)|~aRewritingSystem0(X3)|~aElement0(X2))).
% 0.12/0.35  cnf(i_0_13, plain, (sdtmndtasgtdt0(X1,X2,X1)|~aRewritingSystem0(X2)|~aElement0(X1))).
% 0.12/0.35  cnf(i_0_7, plain, (sdtmndtplgtdt0(X1,X2,X3)|~aReductOfIn0(X3,X1,X2)|~aRewritingSystem0(X2)|~aElement0(X1))).
% 0.12/0.35  cnf(i_0_12, plain, (sdtmndtasgtdt0(X1,X2,X3)|~sdtmndtplgtdt0(X1,X2,X3)|~aRewritingSystem0(X2)|~aElement0(X3)|~aElement0(X1))).
% 0.12/0.35  cnf(i_0_27, negated_conjecture, (xz=xy|aReductOfIn0(esk3_0,xy,xR)|aReductOfIn0(xz,xy,xR))).
% 0.12/0.35  cnf(i_0_26, negated_conjecture, (xz=xy|sdtmndtplgtdt0(esk3_0,xR,xz)|aReductOfIn0(xz,xy,xR))).
% 0.12/0.35  cnf(i_0_14, plain, (X1=X2|sdtmndtplgtdt0(X1,X3,X2)|~sdtmndtasgtdt0(X1,X3,X2)|~aRewritingSystem0(X3)|~aElement0(X2)|~aElement0(X1))).
% 0.12/0.36  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))).
% 0.12/0.36  cnf(i_0_6, plain, (sdtmndtplgtdt0(X1,X2,X3)|~sdtmndtplgtdt0(X4,X2,X3)|~aReductOfIn0(X4,X1,X2)|~aRewritingSystem0(X2)|~aElement0(X3)|~aElement0(X1))).
% 0.12/0.36  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))).
% 0.12/0.36  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))).
% 0.12/0.36  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))).
% 0.12/0.36  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.12/0.36  # Begin printing tableau
% 0.12/0.36  # Found 9 steps
% 0.12/0.36  cnf(i_0_20, negated_conjecture, (~sdtmndtplgtdt0(xx,xR,xz)), inference(start_rule)).
% 0.12/0.36  cnf(i_0_61, plain, (~sdtmndtplgtdt0(xx,xR,xz)), inference(extension_rule, [i_0_6])).
% 0.12/0.36  cnf(i_0_818, plain, (~aRewritingSystem0(xR)), inference(closure_rule, [i_0_17])).
% 0.12/0.36  cnf(i_0_819, plain, (~aElement0(xz)), inference(closure_rule, [i_0_15])).
% 0.12/0.36  cnf(i_0_820, plain, (~aElement0(xx)), inference(closure_rule, [i_0_18])).
% 0.12/0.36  cnf(i_0_816, plain, (~sdtmndtplgtdt0(esk3_0,xR,xz)), inference(extension_rule, [i_0_26])).
% 0.12/0.36  cnf(i_0_817, plain, (~aReductOfIn0(esk3_0,xx,xR)), inference(etableau_closure_rule, [i_0_817, ...])).
% 0.12/0.36  cnf(i_0_858, plain, (xz=xy), inference(etableau_closure_rule, [i_0_858, ...])).
% 0.12/0.36  cnf(i_0_860, plain, (aReductOfIn0(xz,xy,xR)), inference(etableau_closure_rule, [i_0_860, ...])).
% 0.12/0.36  # End printing tableau
% 0.12/0.36  # SZS output end
% 0.12/0.36  # Branches closed with saturation will be marked with an "s"
% 0.12/0.36  # Child (1202) has found a proof.
% 0.12/0.36  
% 0.12/0.36  # Proof search is over...
% 0.12/0.36  # Freeing feature tree
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