TSTP Solution File: NUM837+1 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : NUM837+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n009.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 18:57:43 EDT 2023
% Result : Theorem 0.16s 0.45s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 7 unt; 0 def)
% Number of atoms : 15 ( 8 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 11 ( 6 ~; 3 |; 1 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 14 ( 1 sgn; 8 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof('qe(171)',conjecture,
? [X1] : vd269 = vplus(vd268,X1),
file('/export/starexec/sandbox2/tmp/tmp.3nFlxx4mRe/E---3.1_29208.p','qe(171)') ).
fof('def(cond(conseq(axiom(3)), 12), 1)',axiom,
! [X16,X17] :
( less(X17,X16)
<=> ? [X18] : X16 = vplus(X17,X18) ),
file('/export/starexec/sandbox2/tmp/tmp.3nFlxx4mRe/E---3.1_29208.p','def(cond(conseq(axiom(3)), 12), 1)') ).
fof('holds(conjunct1(170), 270, 0)',axiom,
less(vd268,vd269),
file('/export/starexec/sandbox2/tmp/tmp.3nFlxx4mRe/E---3.1_29208.p','holds(conjunct1(170), 270, 0)') ).
fof(c_0_3,negated_conjecture,
~ ? [X1] : vd269 = vplus(vd268,X1),
inference(assume_negation,[status(cth)],['qe(171)']) ).
fof(c_0_4,negated_conjecture,
! [X48] : vd269 != vplus(vd268,X48),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])]) ).
fof(c_0_5,plain,
! [X69,X70,X72,X73,X74] :
( ( ~ less(X70,X69)
| X69 = vplus(X70,esk1_2(X69,X70)) )
& ( X72 != vplus(X73,X74)
| less(X73,X72) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],['def(cond(conseq(axiom(3)), 12), 1)'])])])])]) ).
cnf(c_0_6,negated_conjecture,
vd269 != vplus(vd268,X1),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
( X2 = vplus(X1,esk1_2(X2,X1))
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
less(vd268,vd269),
inference(split_conjunct,[status(thm)],['holds(conjunct1(170), 270, 0)']) ).
cnf(c_0_9,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7])]),c_0_8])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : NUM837+1 : TPTP v8.1.2. Released v4.1.0.
% 0.10/0.12 % Command : run_E %s %d THM
% 0.12/0.32 % Computer : n009.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 : 2400
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Mon Oct 2 14:41:29 EDT 2023
% 0.12/0.32 % CPUTime :
% 0.16/0.44 Running first-order theorem proving
% 0.16/0.44 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.3nFlxx4mRe/E---3.1_29208.p
% 0.16/0.45 # Version: 3.1pre001
% 0.16/0.45 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.45 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.45 # Starting sh5l with 300s (1) cores
% 0.16/0.45 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 29286 completed with status 0
% 0.16/0.45 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.16/0.45 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.45 # No SInE strategy applied
% 0.16/0.45 # Search class: FGHSM-FFMF21-SFFFFFNN
% 0.16/0.45 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.45 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4b with 811s (1) cores
% 0.16/0.45 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.16/0.45 # Starting new_bool_3 with 136s (1) cores
% 0.16/0.45 # Starting new_bool_1 with 136s (1) cores
% 0.16/0.45 # Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 136s (1) cores
% 0.16/0.45 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 29293 completed with status 0
% 0.16/0.45 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.16/0.45 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.45 # No SInE strategy applied
% 0.16/0.45 # Search class: FGHSM-FFMF21-SFFFFFNN
% 0.16/0.45 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.45 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4b with 811s (1) cores
% 0.16/0.45 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.16/0.45 # Preprocessing time : 0.001 s
% 0.16/0.45 # Presaturation interreduction done
% 0.16/0.45
% 0.16/0.45 # Proof found!
% 0.16/0.45 # SZS status Theorem
% 0.16/0.45 # SZS output start CNFRefutation
% See solution above
% 0.16/0.45 # Parsed axioms : 31
% 0.16/0.45 # Removed by relevancy pruning/SinE : 0
% 0.16/0.45 # Initial clauses : 38
% 0.16/0.45 # Removed in clause preprocessing : 1
% 0.16/0.45 # Initial clauses in saturation : 37
% 0.16/0.45 # Processed clauses : 78
% 0.16/0.45 # ...of these trivial : 2
% 0.16/0.45 # ...subsumed : 6
% 0.16/0.45 # ...remaining for further processing : 70
% 0.16/0.45 # Other redundant clauses eliminated : 13
% 0.16/0.45 # Clauses deleted for lack of memory : 0
% 0.16/0.45 # Backward-subsumed : 3
% 0.16/0.45 # Backward-rewritten : 1
% 0.16/0.45 # Generated clauses : 75
% 0.16/0.45 # ...of the previous two non-redundant : 55
% 0.16/0.45 # ...aggressively subsumed : 0
% 0.16/0.45 # Contextual simplify-reflections : 0
% 0.16/0.45 # Paramodulations : 60
% 0.16/0.45 # Factorizations : 0
% 0.16/0.45 # NegExts : 0
% 0.16/0.45 # Equation resolutions : 15
% 0.16/0.45 # Total rewrite steps : 17
% 0.16/0.45 # Propositional unsat checks : 0
% 0.16/0.45 # Propositional check models : 0
% 0.16/0.45 # Propositional check unsatisfiable : 0
% 0.16/0.45 # Propositional clauses : 0
% 0.16/0.45 # Propositional clauses after purity: 0
% 0.16/0.45 # Propositional unsat core size : 0
% 0.16/0.45 # Propositional preprocessing time : 0.000
% 0.16/0.45 # Propositional encoding time : 0.000
% 0.16/0.45 # Propositional solver time : 0.000
% 0.16/0.45 # Success case prop preproc time : 0.000
% 0.16/0.45 # Success case prop encoding time : 0.000
% 0.16/0.45 # Success case prop solver time : 0.000
% 0.16/0.45 # Current number of processed clauses : 28
% 0.16/0.45 # Positive orientable unit clauses : 8
% 0.16/0.45 # Positive unorientable unit clauses: 1
% 0.16/0.45 # Negative unit clauses : 6
% 0.16/0.45 # Non-unit-clauses : 13
% 0.16/0.45 # Current number of unprocessed clauses: 38
% 0.16/0.45 # ...number of literals in the above : 60
% 0.16/0.45 # Current number of archived formulas : 0
% 0.16/0.45 # Current number of archived clauses : 34
% 0.16/0.45 # Clause-clause subsumption calls (NU) : 11
% 0.16/0.45 # Rec. Clause-clause subsumption calls : 11
% 0.16/0.45 # Non-unit clause-clause subsumptions : 1
% 0.16/0.45 # Unit Clause-clause subsumption calls : 18
% 0.16/0.45 # Rewrite failures with RHS unbound : 0
% 0.16/0.45 # BW rewrite match attempts : 30
% 0.16/0.45 # BW rewrite match successes : 29
% 0.16/0.45 # Condensation attempts : 0
% 0.16/0.45 # Condensation successes : 0
% 0.16/0.45 # Termbank termtop insertions : 1914
% 0.16/0.45
% 0.16/0.45 # -------------------------------------------------
% 0.16/0.45 # User time : 0.003 s
% 0.16/0.45 # System time : 0.003 s
% 0.16/0.45 # Total time : 0.006 s
% 0.16/0.45 # Maximum resident set size: 1824 pages
% 0.16/0.45
% 0.16/0.45 # -------------------------------------------------
% 0.16/0.45 # User time : 0.015 s
% 0.16/0.45 # System time : 0.007 s
% 0.16/0.45 # Total time : 0.022 s
% 0.16/0.45 # Maximum resident set size: 1728 pages
% 0.16/0.45 % E---3.1 exiting
% 0.16/0.45 % E---3.1 exiting
%------------------------------------------------------------------------------