TSTP Solution File: COM017+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : COM017+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n026.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 01:14:05 EDT 2022
% Result : Theorem 0.22s 1.41s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 29 ( 7 unt; 0 def)
% Number of atoms : 150 ( 0 equ)
% Maximal formula atoms : 44 ( 5 avg)
% Number of connectives : 212 ( 91 ~; 90 |; 26 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-4 aty)
% Number of variables : 51 ( 0 sgn 16 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
? [X1] :
( aElement0(X1)
& sdtmndtasgtdt0(xu,xR,X1)
& sdtmndtasgtdt0(xv,xR,X1) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).
fof(mWCRDef,axiom,
! [X1] :
( aRewritingSystem0(X1)
=> ( isLocallyConfluent0(X1)
<=> ! [X2,X3,X4] :
( ( aElement0(X2)
& aElement0(X3)
& aElement0(X4)
& aReductOfIn0(X3,X2,X1)
& aReductOfIn0(X4,X2,X1) )
=> ? [X5] :
( aElement0(X5)
& sdtmndtasgtdt0(X3,X1,X5)
& sdtmndtasgtdt0(X4,X1,X5) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mWCRDef) ).
fof(mReduct,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aRewritingSystem0(X2) )
=> ! [X3] :
( aReductOfIn0(X3,X1,X2)
=> aElement0(X3) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mReduct) ).
fof(m__656_01,hypothesis,
( isLocallyConfluent0(xR)
& isTerminating0(xR) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__656_01) ).
fof(m__656,hypothesis,
aRewritingSystem0(xR),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__656) ).
fof(m__779,hypothesis,
( aElement0(xv)
& aReductOfIn0(xv,xa,xR)
& sdtmndtasgtdt0(xv,xR,xc) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__779) ).
fof(m__755,hypothesis,
( aElement0(xu)
& aReductOfIn0(xu,xa,xR)
& sdtmndtasgtdt0(xu,xR,xb) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__755) ).
fof(m__731,hypothesis,
( aElement0(xa)
& aElement0(xb)
& aElement0(xc) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__731) ).
fof(c_0_8,negated_conjecture,
~ ? [X1] :
( aElement0(X1)
& sdtmndtasgtdt0(xu,xR,X1)
& sdtmndtasgtdt0(xv,xR,X1) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_9,plain,
! [X6,X7,X8,X9,X14] :
( ( aElement0(esk4_4(X6,X7,X8,X9))
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X9)
| ~ aReductOfIn0(X8,X7,X6)
| ~ aReductOfIn0(X9,X7,X6)
| ~ isLocallyConfluent0(X6)
| ~ aRewritingSystem0(X6) )
& ( sdtmndtasgtdt0(X8,X6,esk4_4(X6,X7,X8,X9))
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X9)
| ~ aReductOfIn0(X8,X7,X6)
| ~ aReductOfIn0(X9,X7,X6)
| ~ isLocallyConfluent0(X6)
| ~ aRewritingSystem0(X6) )
& ( sdtmndtasgtdt0(X9,X6,esk4_4(X6,X7,X8,X9))
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X9)
| ~ aReductOfIn0(X8,X7,X6)
| ~ aReductOfIn0(X9,X7,X6)
| ~ isLocallyConfluent0(X6)
| ~ aRewritingSystem0(X6) )
& ( aElement0(esk5_1(X6))
| isLocallyConfluent0(X6)
| ~ aRewritingSystem0(X6) )
& ( aElement0(esk6_1(X6))
| isLocallyConfluent0(X6)
| ~ aRewritingSystem0(X6) )
& ( aElement0(esk7_1(X6))
| isLocallyConfluent0(X6)
| ~ aRewritingSystem0(X6) )
& ( aReductOfIn0(esk6_1(X6),esk5_1(X6),X6)
| isLocallyConfluent0(X6)
| ~ aRewritingSystem0(X6) )
& ( aReductOfIn0(esk7_1(X6),esk5_1(X6),X6)
| isLocallyConfluent0(X6)
| ~ aRewritingSystem0(X6) )
& ( ~ aElement0(X14)
| ~ sdtmndtasgtdt0(esk6_1(X6),X6,X14)
| ~ sdtmndtasgtdt0(esk7_1(X6),X6,X14)
| isLocallyConfluent0(X6)
| ~ aRewritingSystem0(X6) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mWCRDef])])])])])])]) ).
fof(c_0_10,plain,
! [X4,X5,X6] :
( ~ aElement0(X4)
| ~ aRewritingSystem0(X5)
| ~ aReductOfIn0(X6,X4,X5)
| aElement0(X6) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mReduct])])])])]) ).
fof(c_0_11,negated_conjecture,
! [X2] :
( ~ aElement0(X2)
| ~ sdtmndtasgtdt0(xu,xR,X2)
| ~ sdtmndtasgtdt0(xv,xR,X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])]) ).
cnf(c_0_12,plain,
( sdtmndtasgtdt0(X4,X1,esk4_4(X1,X3,X4,X2))
| ~ aRewritingSystem0(X1)
| ~ isLocallyConfluent0(X1)
| ~ aReductOfIn0(X2,X3,X1)
| ~ aReductOfIn0(X4,X3,X1)
| ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
( aElement0(X1)
| ~ aReductOfIn0(X1,X2,X3)
| ~ aRewritingSystem0(X3)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,negated_conjecture,
( ~ sdtmndtasgtdt0(xv,xR,X1)
| ~ sdtmndtasgtdt0(xu,xR,X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,plain,
( sdtmndtasgtdt0(X1,X2,esk4_4(X2,X3,X1,X4))
| ~ isLocallyConfluent0(X2)
| ~ aReductOfIn0(X1,X3,X2)
| ~ aReductOfIn0(X4,X3,X2)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_12,c_0_13]),c_0_13]) ).
cnf(c_0_16,hypothesis,
isLocallyConfluent0(xR),
inference(split_conjunct,[status(thm)],[m__656_01]) ).
cnf(c_0_17,hypothesis,
aRewritingSystem0(xR),
inference(split_conjunct,[status(thm)],[m__656]) ).
cnf(c_0_18,plain,
( sdtmndtasgtdt0(X2,X1,esk4_4(X1,X3,X4,X2))
| ~ aRewritingSystem0(X1)
| ~ isLocallyConfluent0(X1)
| ~ aReductOfIn0(X2,X3,X1)
| ~ aReductOfIn0(X4,X3,X1)
| ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_19,negated_conjecture,
( ~ sdtmndtasgtdt0(xu,xR,esk4_4(xR,X1,xv,X2))
| ~ aReductOfIn0(xv,X1,xR)
| ~ aReductOfIn0(X2,X1,xR)
| ~ aElement0(esk4_4(xR,X1,xv,X2))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),c_0_17])]) ).
cnf(c_0_20,plain,
( sdtmndtasgtdt0(X1,X2,esk4_4(X2,X3,X4,X1))
| ~ isLocallyConfluent0(X2)
| ~ aReductOfIn0(X4,X3,X2)
| ~ aReductOfIn0(X1,X3,X2)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_18,c_0_13]),c_0_13]) ).
cnf(c_0_21,plain,
( aElement0(esk4_4(X1,X3,X4,X2))
| ~ aRewritingSystem0(X1)
| ~ isLocallyConfluent0(X1)
| ~ aReductOfIn0(X2,X3,X1)
| ~ aReductOfIn0(X4,X3,X1)
| ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_22,negated_conjecture,
( ~ aReductOfIn0(xv,X1,xR)
| ~ aReductOfIn0(xu,X1,xR)
| ~ aElement0(esk4_4(xR,X1,xv,xu))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_16]),c_0_17])]) ).
cnf(c_0_23,plain,
( aElement0(esk4_4(X1,X2,X3,X4))
| ~ isLocallyConfluent0(X1)
| ~ aReductOfIn0(X3,X2,X1)
| ~ aReductOfIn0(X4,X2,X1)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_21,c_0_13]),c_0_13]) ).
cnf(c_0_24,negated_conjecture,
( ~ aReductOfIn0(xv,X1,xR)
| ~ aReductOfIn0(xu,X1,xR)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_16]),c_0_17])]) ).
cnf(c_0_25,hypothesis,
aReductOfIn0(xv,xa,xR),
inference(split_conjunct,[status(thm)],[m__779]) ).
cnf(c_0_26,hypothesis,
aReductOfIn0(xu,xa,xR),
inference(split_conjunct,[status(thm)],[m__755]) ).
cnf(c_0_27,hypothesis,
aElement0(xa),
inference(split_conjunct,[status(thm)],[m__731]) ).
cnf(c_0_28,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : COM017+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n026.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 18:22:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.22/1.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.41 # Preprocessing time : 0.017 s
% 0.22/1.41
% 0.22/1.41 # Proof found!
% 0.22/1.41 # SZS status Theorem
% 0.22/1.41 # SZS output start CNFRefutation
% See solution above
% 0.22/1.41 # Proof object total steps : 29
% 0.22/1.41 # Proof object clause steps : 17
% 0.22/1.41 # Proof object formula steps : 12
% 0.22/1.41 # Proof object conjectures : 7
% 0.22/1.41 # Proof object clause conjectures : 4
% 0.22/1.41 # Proof object formula conjectures : 3
% 0.22/1.41 # Proof object initial clauses used : 10
% 0.22/1.41 # Proof object initial formulas used : 8
% 0.22/1.41 # Proof object generating inferences : 4
% 0.22/1.41 # Proof object simplifying inferences : 18
% 0.22/1.41 # Training examples: 0 positive, 0 negative
% 0.22/1.41 # Parsed axioms : 22
% 0.22/1.41 # Removed by relevancy pruning/SinE : 3
% 0.22/1.41 # Initial clauses : 47
% 0.22/1.41 # Removed in clause preprocessing : 4
% 0.22/1.41 # Initial clauses in saturation : 43
% 0.22/1.41 # Processed clauses : 213
% 0.22/1.41 # ...of these trivial : 2
% 0.22/1.41 # ...subsumed : 55
% 0.22/1.41 # ...remaining for further processing : 156
% 0.22/1.41 # Other redundant clauses eliminated : 1
% 0.22/1.41 # Clauses deleted for lack of memory : 0
% 0.22/1.41 # Backward-subsumed : 3
% 0.22/1.41 # Backward-rewritten : 0
% 0.22/1.41 # Generated clauses : 427
% 0.22/1.41 # ...of the previous two non-trivial : 320
% 0.22/1.41 # Contextual simplify-reflections : 100
% 0.22/1.41 # Paramodulations : 426
% 0.22/1.41 # Factorizations : 0
% 0.22/1.41 # Equation resolutions : 1
% 0.22/1.41 # Current number of processed clauses : 152
% 0.22/1.41 # Positive orientable unit clauses : 22
% 0.22/1.41 # Positive unorientable unit clauses: 0
% 0.22/1.41 # Negative unit clauses : 3
% 0.22/1.41 # Non-unit-clauses : 127
% 0.22/1.41 # Current number of unprocessed clauses: 150
% 0.22/1.41 # ...number of literals in the above : 1028
% 0.22/1.41 # Current number of archived formulas : 0
% 0.22/1.41 # Current number of archived clauses : 3
% 0.22/1.41 # Clause-clause subsumption calls (NU) : 3270
% 0.22/1.41 # Rec. Clause-clause subsumption calls : 1057
% 0.22/1.41 # Non-unit clause-clause subsumptions : 148
% 0.22/1.41 # Unit Clause-clause subsumption calls : 62
% 0.22/1.41 # Rewrite failures with RHS unbound : 0
% 0.22/1.41 # BW rewrite match attempts : 11
% 0.22/1.41 # BW rewrite match successes : 0
% 0.22/1.41 # Condensation attempts : 0
% 0.22/1.41 # Condensation successes : 0
% 0.22/1.41 # Termbank termtop insertions : 12808
% 0.22/1.41
% 0.22/1.41 # -------------------------------------------------
% 0.22/1.41 # User time : 0.035 s
% 0.22/1.41 # System time : 0.001 s
% 0.22/1.41 # Total time : 0.036 s
% 0.22/1.41 # Maximum resident set size: 3308 pages
% 0.22/23.41 eprover: CPU time limit exceeded, terminating
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47 eprover: No such file or directory
%------------------------------------------------------------------------------