TSTP Solution File: NUM337+1 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : NUM337+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n031.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 : Sat May 4 08:48:10 EDT 2024
% Result : Theorem 0.18s 0.54s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 36 ( 15 unt; 0 def)
% Number of atoms : 80 ( 8 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 78 ( 34 ~; 31 |; 7 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-1 aty)
% Number of variables : 70 ( 0 sgn 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(add_digit_digit_digit,axiom,
! [X21,X22,X23,X24,X25] :
( ( rdn_digit_add(rdnn(X22),rdnn(X23),rdnn(X25),rdnn(n0))
& rdn_digit_add(rdnn(X25),rdnn(X21),rdnn(X24),rdnn(n0)) )
=> rdn_add_with_carry(rdnn(X21),rdnn(X22),rdnn(X23),rdnn(X24)) ),
file('/export/starexec/sandbox/tmp/tmp.oauuQ3jJs8/E---3.1_21226.p',add_digit_digit_digit) ).
fof(sum_entry_point_pos_pos,axiom,
! [X1,X2,X3,X10,X11,X12] :
( ( rdn_translate(X1,rdn_pos(X10))
& rdn_translate(X2,rdn_pos(X11))
& rdn_add_with_carry(rdnn(n0),X10,X11,X12)
& rdn_translate(X3,rdn_pos(X12)) )
=> sum(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.oauuQ3jJs8/E---3.1_21226.p',sum_entry_point_pos_pos) ).
fof(rdn_digit_add_n5_n0_n5_n0,axiom,
rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0)),
file('/export/starexec/sandbox/tmp/tmp.oauuQ3jJs8/E---3.1_21226.p',rdn_digit_add_n5_n0_n5_n0) ).
fof(diff_n5_only_n3_n2,conjecture,
! [X1] :
( difference(n5,X1,n2)
=> X1 = n3 ),
file('/export/starexec/sandbox/tmp/tmp.oauuQ3jJs8/E---3.1_21226.p',diff_n5_only_n3_n2) ).
fof(rdn_digit_add_n3_n2_n5_n0,axiom,
rdn_digit_add(rdnn(n3),rdnn(n2),rdnn(n5),rdnn(n0)),
file('/export/starexec/sandbox/tmp/tmp.oauuQ3jJs8/E---3.1_21226.p',rdn_digit_add_n3_n2_n5_n0) ).
fof(minus_entry_point,axiom,
! [X1,X2,X3] :
( sum(X2,X3,X1)
<=> difference(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.oauuQ3jJs8/E---3.1_21226.p',minus_entry_point) ).
fof(rdn5,axiom,
rdn_translate(n5,rdn_pos(rdnn(n5))),
file('/export/starexec/sandbox/tmp/tmp.oauuQ3jJs8/E---3.1_21226.p',rdn5) ).
fof(unique_LHS,axiom,
! [X17,X18,X2,X3] :
( ( sum(X17,X2,X3)
& sum(X18,X2,X3) )
=> X17 = X18 ),
file('/export/starexec/sandbox/tmp/tmp.oauuQ3jJs8/E---3.1_21226.p',unique_LHS) ).
fof(rdn2,axiom,
rdn_translate(n2,rdn_pos(rdnn(n2))),
file('/export/starexec/sandbox/tmp/tmp.oauuQ3jJs8/E---3.1_21226.p',rdn2) ).
fof(rdn3,axiom,
rdn_translate(n3,rdn_pos(rdnn(n3))),
file('/export/starexec/sandbox/tmp/tmp.oauuQ3jJs8/E---3.1_21226.p',rdn3) ).
fof(c_0_10,plain,
! [X81,X82,X83,X84,X85] :
( ~ rdn_digit_add(rdnn(X82),rdnn(X83),rdnn(X85),rdnn(n0))
| ~ rdn_digit_add(rdnn(X85),rdnn(X81),rdnn(X84),rdnn(n0))
| rdn_add_with_carry(rdnn(X81),rdnn(X82),rdnn(X83),rdnn(X84)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[add_digit_digit_digit])])]) ).
fof(c_0_11,plain,
! [X37,X38,X39,X40,X41,X42] :
( ~ rdn_translate(X37,rdn_pos(X40))
| ~ rdn_translate(X38,rdn_pos(X41))
| ~ rdn_add_with_carry(rdnn(n0),X40,X41,X42)
| ~ rdn_translate(X39,rdn_pos(X42))
| sum(X37,X38,X39) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sum_entry_point_pos_pos])])]) ).
cnf(c_0_12,plain,
( rdn_add_with_carry(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(X5))
| ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
| ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X5),rdnn(n0)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_13,plain,
rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0)),
inference(split_conjunct,[status(thm)],[rdn_digit_add_n5_n0_n5_n0]) ).
cnf(c_0_14,plain,
( sum(X1,X3,X6)
| ~ rdn_translate(X1,rdn_pos(X2))
| ~ rdn_translate(X3,rdn_pos(X4))
| ~ rdn_add_with_carry(rdnn(n0),X2,X4,X5)
| ~ rdn_translate(X6,rdn_pos(X5)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,plain,
( rdn_add_with_carry(rdnn(n0),rdnn(X1),rdnn(X2),rdnn(n5))
| ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(n5),rdnn(n0)) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
fof(c_0_16,negated_conjecture,
~ ! [X1] :
( difference(n5,X1,n2)
=> X1 = n3 ),
inference(assume_negation,[status(cth)],[diff_n5_only_n3_n2]) ).
cnf(c_0_17,plain,
( sum(X1,X2,X3)
| ~ rdn_digit_add(rdnn(X4),rdnn(X5),rdnn(n5),rdnn(n0))
| ~ rdn_translate(X3,rdn_pos(rdnn(n5)))
| ~ rdn_translate(X2,rdn_pos(rdnn(X5)))
| ~ rdn_translate(X1,rdn_pos(rdnn(X4))) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,plain,
rdn_digit_add(rdnn(n3),rdnn(n2),rdnn(n5),rdnn(n0)),
inference(split_conjunct,[status(thm)],[rdn_digit_add_n3_n2_n5_n0]) ).
fof(c_0_19,plain,
! [X34,X35,X36] :
( ( ~ sum(X35,X36,X34)
| difference(X34,X35,X36) )
& ( ~ difference(X34,X35,X36)
| sum(X35,X36,X34) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[minus_entry_point])])]) ).
fof(c_0_20,negated_conjecture,
( difference(n5,esk1_0,n2)
& esk1_0 != n3 ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])]) ).
cnf(c_0_21,plain,
( sum(X1,X2,X3)
| ~ rdn_translate(X3,rdn_pos(rdnn(n5)))
| ~ rdn_translate(X2,rdn_pos(rdnn(n2)))
| ~ rdn_translate(X1,rdn_pos(rdnn(n3))) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,plain,
rdn_translate(n5,rdn_pos(rdnn(n5))),
inference(split_conjunct,[status(thm)],[rdn5]) ).
fof(c_0_23,plain,
! [X73,X74,X75,X76] :
( ~ sum(X73,X75,X76)
| ~ sum(X74,X75,X76)
| X73 = X74 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[unique_LHS])])]) ).
cnf(c_0_24,plain,
( sum(X2,X3,X1)
| ~ difference(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_25,negated_conjecture,
difference(n5,esk1_0,n2),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_26,plain,
( sum(X1,X2,n5)
| ~ rdn_translate(X2,rdn_pos(rdnn(n2)))
| ~ rdn_translate(X1,rdn_pos(rdnn(n3))) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_27,plain,
rdn_translate(n2,rdn_pos(rdnn(n2))),
inference(split_conjunct,[status(thm)],[rdn2]) ).
cnf(c_0_28,plain,
( X1 = X4
| ~ sum(X1,X2,X3)
| ~ sum(X4,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_29,negated_conjecture,
sum(esk1_0,n2,n5),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_30,plain,
( sum(X1,n2,n5)
| ~ rdn_translate(X1,rdn_pos(rdnn(n3))) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_31,plain,
rdn_translate(n3,rdn_pos(rdnn(n3))),
inference(split_conjunct,[status(thm)],[rdn3]) ).
cnf(c_0_32,negated_conjecture,
( X1 = esk1_0
| ~ sum(X1,n2,n5) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_33,plain,
sum(n3,n2,n5),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_34,negated_conjecture,
esk1_0 != n3,
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_35,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM337+1 : TPTP v8.1.2. Released v3.1.0.
% 0.10/0.13 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n031.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 : Fri May 3 10:09:31 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.18/0.46 Running first-order theorem proving
% 0.18/0.46 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.oauuQ3jJs8/E---3.1_21226.p
% 0.18/0.54 # Version: 3.1.0
% 0.18/0.54 # Preprocessing class: FSLMSMSLSSSNFFN.
% 0.18/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.54 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 0.18/0.54 # Starting new_bool_3 with 600s (2) cores
% 0.18/0.54 # Starting new_bool_1 with 600s (2) cores
% 0.18/0.54 # Starting sh5l with 300s (1) cores
% 0.18/0.54 # new_bool_1 with pid 21306 completed with status 0
% 0.18/0.54 # Result found by new_bool_1
% 0.18/0.54 # Preprocessing class: FSLMSMSLSSSNFFN.
% 0.18/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.54 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 0.18/0.54 # Starting new_bool_3 with 600s (2) cores
% 0.18/0.54 # Starting new_bool_1 with 600s (2) cores
% 0.18/0.54 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.54 # Search class: FHUSF-FFMM21-SFFFFFNN
% 0.18/0.54 # partial match(1): FHUNF-FFMM21-SFFFFFNN
% 0.18/0.54 # Scheduled 5 strats onto 2 cores with 600 seconds (600 total)
% 0.18/0.54 # Starting SAT001_MinMin_p005000_rr_RG with 361s (1) cores
% 0.18/0.54 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 61s (1) cores
% 0.18/0.54 # SAT001_MinMin_p005000_rr_RG with pid 21310 completed with status 0
% 0.18/0.54 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.18/0.54 # Preprocessing class: FSLMSMSLSSSNFFN.
% 0.18/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.54 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 0.18/0.54 # Starting new_bool_3 with 600s (2) cores
% 0.18/0.54 # Starting new_bool_1 with 600s (2) cores
% 0.18/0.54 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.54 # Search class: FHUSF-FFMM21-SFFFFFNN
% 0.18/0.54 # partial match(1): FHUNF-FFMM21-SFFFFFNN
% 0.18/0.54 # Scheduled 5 strats onto 2 cores with 600 seconds (600 total)
% 0.18/0.54 # Starting SAT001_MinMin_p005000_rr_RG with 361s (1) cores
% 0.18/0.54 # Preprocessing time : 0.002 s
% 0.18/0.54 # Presaturation interreduction done
% 0.18/0.54
% 0.18/0.54 # Proof found!
% 0.18/0.54 # SZS status Theorem
% 0.18/0.54 # SZS output start CNFRefutation
% See solution above
% 0.18/0.54 # Parsed axioms : 402
% 0.18/0.54 # Removed by relevancy pruning/SinE : 265
% 0.18/0.54 # Initial clauses : 139
% 0.18/0.54 # Removed in clause preprocessing : 0
% 0.18/0.54 # Initial clauses in saturation : 139
% 0.18/0.54 # Processed clauses : 856
% 0.18/0.54 # ...of these trivial : 0
% 0.18/0.54 # ...subsumed : 120
% 0.18/0.54 # ...remaining for further processing : 736
% 0.18/0.54 # Other redundant clauses eliminated : 0
% 0.18/0.54 # Clauses deleted for lack of memory : 0
% 0.18/0.54 # Backward-subsumed : 0
% 0.18/0.54 # Backward-rewritten : 0
% 0.18/0.54 # Generated clauses : 978
% 0.18/0.54 # ...of the previous two non-redundant : 976
% 0.18/0.54 # ...aggressively subsumed : 0
% 0.18/0.54 # Contextual simplify-reflections : 0
% 0.18/0.54 # Paramodulations : 978
% 0.18/0.54 # Factorizations : 0
% 0.18/0.54 # NegExts : 0
% 0.18/0.54 # Equation resolutions : 0
% 0.18/0.54 # Disequality decompositions : 0
% 0.18/0.54 # Total rewrite steps : 0
% 0.18/0.54 # ...of those cached : 0
% 0.18/0.54 # Propositional unsat checks : 0
% 0.18/0.54 # Propositional check models : 0
% 0.18/0.54 # Propositional check unsatisfiable : 0
% 0.18/0.54 # Propositional clauses : 0
% 0.18/0.54 # Propositional clauses after purity: 0
% 0.18/0.54 # Propositional unsat core size : 0
% 0.18/0.54 # Propositional preprocessing time : 0.000
% 0.18/0.54 # Propositional encoding time : 0.000
% 0.18/0.54 # Propositional solver time : 0.000
% 0.18/0.54 # Success case prop preproc time : 0.000
% 0.18/0.54 # Success case prop encoding time : 0.000
% 0.18/0.54 # Success case prop solver time : 0.000
% 0.18/0.54 # Current number of processed clauses : 597
% 0.18/0.54 # Positive orientable unit clauses : 158
% 0.18/0.54 # Positive unorientable unit clauses: 0
% 0.18/0.54 # Negative unit clauses : 1
% 0.18/0.54 # Non-unit-clauses : 438
% 0.18/0.54 # Current number of unprocessed clauses: 395
% 0.18/0.54 # ...number of literals in the above : 1859
% 0.18/0.54 # Current number of archived formulas : 0
% 0.18/0.54 # Current number of archived clauses : 139
% 0.18/0.54 # Clause-clause subsumption calls (NU) : 50443
% 0.18/0.54 # Rec. Clause-clause subsumption calls : 34645
% 0.18/0.54 # Non-unit clause-clause subsumptions : 120
% 0.18/0.54 # Unit Clause-clause subsumption calls : 286
% 0.18/0.54 # Rewrite failures with RHS unbound : 0
% 0.18/0.54 # BW rewrite match attempts : 0
% 0.18/0.54 # BW rewrite match successes : 0
% 0.18/0.54 # Condensation attempts : 0
% 0.18/0.54 # Condensation successes : 0
% 0.18/0.54 # Termbank termtop insertions : 36522
% 0.18/0.54 # Search garbage collected termcells : 1777
% 0.18/0.54
% 0.18/0.54 # -------------------------------------------------
% 0.18/0.54 # User time : 0.044 s
% 0.18/0.54 # System time : 0.014 s
% 0.18/0.54 # Total time : 0.058 s
% 0.18/0.54 # Maximum resident set size: 2996 pages
% 0.18/0.54
% 0.18/0.54 # -------------------------------------------------
% 0.18/0.54 # User time : 0.093 s
% 0.18/0.54 # System time : 0.022 s
% 0.18/0.54 # Total time : 0.115 s
% 0.18/0.54 # Maximum resident set size: 2048 pages
% 0.18/0.54 % E---3.1 exiting
% 0.18/0.54 % E exiting
%------------------------------------------------------------------------------