%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM467+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n021.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 : Mon Jul 18 09:32:44 EDT 2022
% Result : Theorem 0.28s 11.46s
% Output : CNFRefutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 42 ( 19 unt; 0 def)
% Number of atoms : 106 ( 23 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 113 ( 49 ~; 46 |; 13 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 42 ( 0 sgn 19 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mDefDiv,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( doDivides0(X1,X2)
<=> ? [X3] :
( aNaturalNumber0(X3)
& X2 = sdtasdt0(X1,X3) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mDefDiv) ).
fof(mAMDistr,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
& sdtasdt0(sdtpldt0(X2,X3),X1) = sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mAMDistr) ).
fof(mAddComm,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mAddComm) ).
fof(m__1240_04,hypothesis,
( doDivides0(xl,xm)
& doDivides0(xl,xn) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__1240_04) ).
fof(m__1240,hypothesis,
( aNaturalNumber0(xl)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__1240) ).
fof(mSortsB,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mSortsB) ).
fof(m__,conjecture,
doDivides0(xl,sdtpldt0(xm,xn)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__) ).
fof(c_0_7,plain,
! [X4,X5,X7] :
( ( aNaturalNumber0(esk1_2(X4,X5))
| ~ doDivides0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( X5 = sdtasdt0(X4,esk1_2(X4,X5))
| ~ doDivides0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( ~ aNaturalNumber0(X7)
| X5 != sdtasdt0(X4,X7)
| doDivides0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) ) ),
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)],[mDefDiv])])])])])])]) ).
fof(c_0_8,plain,
! [X4,X5,X6] :
( ( sdtasdt0(X4,sdtpldt0(X5,X6)) = sdtpldt0(sdtasdt0(X4,X5),sdtasdt0(X4,X6))
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6) )
& ( sdtasdt0(sdtpldt0(X5,X6),X4) = sdtpldt0(sdtasdt0(X5,X4),sdtasdt0(X6,X4))
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAMDistr])])]) ).
fof(c_0_9,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| sdtpldt0(X3,X4) = sdtpldt0(X4,X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddComm])]) ).
cnf(c_0_10,plain,
( aNaturalNumber0(esk1_2(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,hypothesis,
doDivides0(xl,xn),
inference(split_conjunct,[status(thm)],[m__1240_04]) ).
cnf(c_0_12,hypothesis,
aNaturalNumber0(xl),
inference(split_conjunct,[status(thm)],[m__1240]) ).
cnf(c_0_13,hypothesis,
aNaturalNumber0(xn),
inference(split_conjunct,[status(thm)],[m__1240]) ).
cnf(c_0_14,plain,
( sdtasdt0(X3,sdtpldt0(X2,X1)) = sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,plain,
( X1 = sdtasdt0(X2,esk1_2(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_16,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_17,hypothesis,
aNaturalNumber0(esk1_2(xl,xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]),c_0_13])]) ).
cnf(c_0_18,hypothesis,
doDivides0(xl,xm),
inference(split_conjunct,[status(thm)],[m__1240_04]) ).
cnf(c_0_19,hypothesis,
aNaturalNumber0(xm),
inference(split_conjunct,[status(thm)],[m__1240]) ).
fof(c_0_20,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| aNaturalNumber0(sdtpldt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB])]) ).
cnf(c_0_21,hypothesis,
( sdtpldt0(sdtasdt0(xl,X1),sdtasdt0(xl,X2)) = sdtasdt0(xl,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_12]) ).
cnf(c_0_22,hypothesis,
sdtasdt0(xl,esk1_2(xl,xn)) = xn,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_11]),c_0_12]),c_0_13])]) ).
cnf(c_0_23,hypothesis,
( sdtpldt0(X1,esk1_2(xl,xn)) = sdtpldt0(esk1_2(xl,xn),X1)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_24,hypothesis,
aNaturalNumber0(esk1_2(xl,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_18]),c_0_12]),c_0_19])]) ).
cnf(c_0_25,hypothesis,
( sdtpldt0(X1,xn) = sdtpldt0(xn,X1)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_13]) ).
cnf(c_0_26,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_27,hypothesis,
( sdtasdt0(xl,sdtpldt0(esk1_2(xl,xn),X1)) = sdtpldt0(xn,sdtasdt0(xl,X1))
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_17]),c_0_22]) ).
cnf(c_0_28,hypothesis,
sdtpldt0(esk1_2(xl,xn),esk1_2(xl,xm)) = sdtpldt0(esk1_2(xl,xm),esk1_2(xl,xn)),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_29,hypothesis,
sdtasdt0(xl,esk1_2(xl,xm)) = xm,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_18]),c_0_12]),c_0_19])]) ).
cnf(c_0_30,hypothesis,
sdtpldt0(xn,xm) = sdtpldt0(xm,xn),
inference(spm,[status(thm)],[c_0_25,c_0_19]) ).
cnf(c_0_31,hypothesis,
( aNaturalNumber0(sdtpldt0(X1,esk1_2(xl,xn)))
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_17]) ).
fof(c_0_32,negated_conjecture,
~ doDivides0(xl,sdtpldt0(xm,xn)),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_0_33,plain,
( doDivides0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_34,hypothesis,
sdtasdt0(xl,sdtpldt0(esk1_2(xl,xm),esk1_2(xl,xn))) = sdtpldt0(xm,xn),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_24]),c_0_28]),c_0_29]),c_0_30]) ).
cnf(c_0_35,hypothesis,
aNaturalNumber0(sdtpldt0(esk1_2(xl,xm),esk1_2(xl,xn))),
inference(spm,[status(thm)],[c_0_31,c_0_24]) ).
cnf(c_0_36,hypothesis,
( aNaturalNumber0(sdtpldt0(X1,xn))
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_13]) ).
fof(c_0_37,negated_conjecture,
~ doDivides0(xl,sdtpldt0(xm,xn)),
inference(fof_simplification,[status(thm)],[c_0_32]) ).
cnf(c_0_38,hypothesis,
( doDivides0(xl,X1)
| X1 != sdtpldt0(xm,xn)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]),c_0_12])]) ).
cnf(c_0_39,hypothesis,
aNaturalNumber0(sdtpldt0(xm,xn)),
inference(spm,[status(thm)],[c_0_36,c_0_19]) ).
cnf(c_0_40,negated_conjecture,
~ doDivides0(xl,sdtpldt0(xm,xn)),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_41,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_38]),c_0_39])]),c_0_40]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM467+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jul 6 23:30:19 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.28/11.46 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.28/11.46 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.28/11.46 # Preprocessing time : 0.016 s
% 0.28/11.46
% 0.28/11.46 # Proof found!
% 0.28/11.46 # SZS status Theorem
% 0.28/11.46 # SZS output start CNFRefutation
% See solution above
% 0.28/11.46 # Proof object total steps : 42
% 0.28/11.46 # Proof object clause steps : 29
% 0.28/11.46 # Proof object formula steps : 13
% 0.28/11.46 # Proof object conjectures : 4
% 0.28/11.46 # Proof object clause conjectures : 1
% 0.28/11.46 # Proof object formula conjectures : 3
% 0.28/11.46 # Proof object initial clauses used : 12
% 0.28/11.46 # Proof object initial formulas used : 7
% 0.28/11.46 # Proof object generating inferences : 17
% 0.28/11.46 # Proof object simplifying inferences : 22
% 0.28/11.46 # Training examples: 0 positive, 0 negative
% 0.28/11.46 # Parsed axioms : 35
% 0.28/11.46 # Removed by relevancy pruning/SinE : 7
% 0.28/11.46 # Initial clauses : 48
% 0.28/11.46 # Removed in clause preprocessing : 1
% 0.28/11.46 # Initial clauses in saturation : 47
% 0.28/11.46 # Processed clauses : 13811
% 0.28/11.46 # ...of these trivial : 449
% 0.28/11.46 # ...subsumed : 1961
% 0.28/11.46 # ...remaining for further processing : 11401
% 0.28/11.46 # Other redundant clauses eliminated : 1
% 0.28/11.46 # Clauses deleted for lack of memory : 765123
% 0.28/11.46 # Backward-subsumed : 18
% 0.28/11.46 # Backward-rewritten : 2305
% 0.28/11.46 # Generated clauses : 1017395
% 0.28/11.46 # ...of the previous two non-trivial : 1004828
% 0.28/11.46 # Contextual simplify-reflections : 579
% 0.28/11.46 # Paramodulations : 1016998
% 0.28/11.46 # Factorizations : 0
% 0.28/11.46 # Equation resolutions : 397
% 0.28/11.46 # Current number of processed clauses : 9077
% 0.28/11.46 # Positive orientable unit clauses : 2887
% 0.28/11.46 # Positive unorientable unit clauses: 0
% 0.28/11.46 # Negative unit clauses : 85
% 0.28/11.46 # Non-unit-clauses : 6105
% 0.28/11.46 # Current number of unprocessed clauses: 102475
% 0.28/11.46 # ...number of literals in the above : 186082
% 0.28/11.46 # Current number of archived formulas : 0
% 0.28/11.46 # Current number of archived clauses : 2323
% 0.28/11.46 # Clause-clause subsumption calls (NU) : 594863
% 0.28/11.46 # Rec. Clause-clause subsumption calls : 556280
% 0.28/11.46 # Non-unit clause-clause subsumptions : 2182
% 0.28/11.46 # Unit Clause-clause subsumption calls : 50648
% 0.28/11.46 # Rewrite failures with RHS unbound : 0
% 0.28/11.46 # BW rewrite match attempts : 30310
% 0.28/11.46 # BW rewrite match successes : 610
% 0.28/11.46 # Condensation attempts : 0
% 0.28/11.46 # Condensation successes : 0
% 0.28/11.46 # Termbank termtop insertions : 31834678
% 0.28/11.46
% 0.28/11.46 # -------------------------------------------------
% 0.28/11.46 # User time : 10.658 s
% 0.28/11.46 # System time : 0.150 s
% 0.28/11.46 # Total time : 10.808 s
% 0.28/11.46 # Maximum resident set size: 150312 pages
%------------------------------------------------------------------------------