TSTP Solution File: NUM835+1 by E---3.2.0
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%------------------------------------------------------------------------------
% File : E---3.2.0
% Problem : NUM835+1 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n027.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 : 300s
% DateTime : Mon Jun 24 12:38:39 EDT 2024
% Result : Theorem 0.19s 0.50s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 5 unt; 0 def)
% Number of atoms : 37 ( 28 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 37 ( 13 ~; 18 |; 5 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 25 ( 4 sgn 10 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof('def(cond(conseq(105), 0), 1)',axiom,
! [X5,X6] :
( m(X6)
<=> ( X5 = X6
| ? [X7] : X5 = vplus(X6,X7)
| ? [X8] : X6 = vplus(X5,X8) ) ),
file('/export/starexec/sandbox/tmp/tmp.AU95IRmsWi/E---3.1_12922.p','def(cond(conseq(105), 0), 1)') ).
fof('dis(case_distinction(conseq(110)))',conjecture,
( ? [X1] : vd165 = vplus(vd151,X1)
| ? [X2] : vd151 = vplus(vd165,X2)
| vd151 = vd165 ),
file('/export/starexec/sandbox/tmp/tmp.AU95IRmsWi/E---3.1_12922.p','dis(case_distinction(conseq(110)))') ).
fof(c_0_2,plain,
! [X59,X60,X63,X64,X65,X66] :
( ( ~ m(X60)
| X59 = X60
| X59 = vplus(X60,esk2_2(X59,X60))
| X60 = vplus(X59,esk3_2(X59,X60)) )
& ( X63 != X64
| m(X64) )
& ( X63 != vplus(X64,X65)
| m(X64) )
& ( X64 != vplus(X63,X66)
| m(X64) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[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(105), 0), 1)'])])])])])])]) ).
fof(c_0_3,negated_conjecture,
~ ( ? [X1] : vd165 = vplus(vd151,X1)
| ? [X2] : vd151 = vplus(vd165,X2)
| vd151 = vd165 ),
inference(assume_negation,[status(cth)],['dis(case_distinction(conseq(110)))']) ).
cnf(c_0_4,plain,
( m(X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_5,negated_conjecture,
! [X43,X44] :
( vd165 != vplus(vd151,X43)
& vd151 != vplus(vd165,X44)
& vd151 != vd165 ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).
cnf(c_0_6,plain,
( X2 = X1
| X2 = vplus(X1,esk2_2(X2,X1))
| X1 = vplus(X2,esk3_2(X2,X1))
| ~ m(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7,plain,
m(X1),
inference(er,[status(thm)],[c_0_4]) ).
cnf(c_0_8,negated_conjecture,
vd165 != vplus(vd151,X1),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( vplus(X1,esk3_2(X1,X2)) = X2
| vplus(X2,esk2_2(X1,X2)) = X1
| X2 = X1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7])]) ).
cnf(c_0_10,negated_conjecture,
vd151 != vplus(vd165,X1),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,negated_conjecture,
vd151 != vd165,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9])]),c_0_10]),c_0_11]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM835+1 : TPTP v8.2.0. Released v4.1.0.
% 0.11/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n027.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 : 300
% 0.12/0.33 % DateTime : Sat Jun 22 22:59:38 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.48 Running first-order theorem proving
% 0.19/0.48 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.AU95IRmsWi/E---3.1_12922.p
% 0.19/0.50 # Version: 3.2.0
% 0.19/0.50 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.50 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.50 # Starting new_bool_1 with 300s (1) cores
% 0.19/0.50 # Starting sh5l with 300s (1) cores
% 0.19/0.50 # sh5l with pid 13003 completed with status 0
% 0.19/0.50 # Result found by sh5l
% 0.19/0.50 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.50 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.50 # Starting new_bool_1 with 300s (1) cores
% 0.19/0.50 # Starting sh5l with 300s (1) cores
% 0.19/0.50 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.19/0.50 # Search class: FGHSM-FFMF21-SFFFFFNN
% 0.19/0.50 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.50 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4b with 163s (1) cores
% 0.19/0.50 # G-E--_208_C18_F1_SE_CS_SP_PS_S4b with pid 13009 completed with status 0
% 0.19/0.50 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S4b
% 0.19/0.50 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.50 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.50 # Starting new_bool_1 with 300s (1) cores
% 0.19/0.50 # Starting sh5l with 300s (1) cores
% 0.19/0.50 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.19/0.50 # Search class: FGHSM-FFMF21-SFFFFFNN
% 0.19/0.50 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.50 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4b with 163s (1) cores
% 0.19/0.50 # Preprocessing time : 0.001 s
% 0.19/0.50 # Presaturation interreduction done
% 0.19/0.50
% 0.19/0.50 # Proof found!
% 0.19/0.50 # SZS status Theorem
% 0.19/0.50 # SZS output start CNFRefutation
% See solution above
% 0.19/0.50 # Parsed axioms : 39
% 0.19/0.50 # Removed by relevancy pruning/SinE : 1
% 0.19/0.50 # Initial clauses : 49
% 0.19/0.50 # Removed in clause preprocessing : 7
% 0.19/0.50 # Initial clauses in saturation : 42
% 0.19/0.50 # Processed clauses : 94
% 0.19/0.50 # ...of these trivial : 13
% 0.19/0.50 # ...subsumed : 29
% 0.19/0.50 # ...remaining for further processing : 52
% 0.19/0.50 # Other redundant clauses eliminated : 21
% 0.19/0.50 # Clauses deleted for lack of memory : 0
% 0.19/0.50 # Backward-subsumed : 1
% 0.19/0.50 # Backward-rewritten : 5
% 0.19/0.50 # Generated clauses : 128
% 0.19/0.50 # ...of the previous two non-redundant : 102
% 0.19/0.50 # ...aggressively subsumed : 0
% 0.19/0.50 # Contextual simplify-reflections : 0
% 0.19/0.50 # Paramodulations : 105
% 0.19/0.50 # Factorizations : 0
% 0.19/0.50 # NegExts : 0
% 0.19/0.50 # Equation resolutions : 23
% 0.19/0.50 # Disequality decompositions : 0
% 0.19/0.50 # Total rewrite steps : 61
% 0.19/0.50 # ...of those cached : 32
% 0.19/0.50 # Propositional unsat checks : 0
% 0.19/0.50 # Propositional check models : 0
% 0.19/0.50 # Propositional check unsatisfiable : 0
% 0.19/0.50 # Propositional clauses : 0
% 0.19/0.50 # Propositional clauses after purity: 0
% 0.19/0.50 # Propositional unsat core size : 0
% 0.19/0.50 # Propositional preprocessing time : 0.000
% 0.19/0.50 # Propositional encoding time : 0.000
% 0.19/0.50 # Propositional solver time : 0.000
% 0.19/0.50 # Success case prop preproc time : 0.000
% 0.19/0.50 # Success case prop encoding time : 0.000
% 0.19/0.50 # Success case prop solver time : 0.000
% 0.19/0.50 # Current number of processed clauses : 24
% 0.19/0.50 # Positive orientable unit clauses : 3
% 0.19/0.50 # Positive unorientable unit clauses: 1
% 0.19/0.50 # Negative unit clauses : 13
% 0.19/0.50 # Non-unit-clauses : 7
% 0.19/0.50 # Current number of unprocessed clauses: 50
% 0.19/0.50 # ...number of literals in the above : 71
% 0.19/0.50 # Current number of archived formulas : 0
% 0.19/0.50 # Current number of archived clauses : 19
% 0.19/0.50 # Clause-clause subsumption calls (NU) : 10
% 0.19/0.50 # Rec. Clause-clause subsumption calls : 9
% 0.19/0.50 # Non-unit clause-clause subsumptions : 2
% 0.19/0.50 # Unit Clause-clause subsumption calls : 37
% 0.19/0.50 # Rewrite failures with RHS unbound : 0
% 0.19/0.50 # BW rewrite match attempts : 39
% 0.19/0.50 # BW rewrite match successes : 39
% 0.19/0.50 # Condensation attempts : 0
% 0.19/0.50 # Condensation successes : 0
% 0.19/0.50 # Termbank termtop insertions : 3171
% 0.19/0.50 # Search garbage collected termcells : 526
% 0.19/0.50
% 0.19/0.50 # -------------------------------------------------
% 0.19/0.50 # User time : 0.006 s
% 0.19/0.50 # System time : 0.004 s
% 0.19/0.50 # Total time : 0.010 s
% 0.19/0.50 # Maximum resident set size: 1864 pages
% 0.19/0.50
% 0.19/0.50 # -------------------------------------------------
% 0.19/0.50 # User time : 0.007 s
% 0.19/0.50 # System time : 0.007 s
% 0.19/0.50 # Total time : 0.014 s
% 0.19/0.50 # Maximum resident set size: 1736 pages
% 0.19/0.50 % E---3.1 exiting
% 0.19/0.50 % E exiting
%------------------------------------------------------------------------------