TSTP Solution File: NUM342+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM342+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n013.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 09:31:44 EDT 2022
% Result : Theorem 0.41s 23.59s
% Output : CNFRefutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 39 ( 15 unt; 0 def)
% Number of atoms : 89 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 95 ( 45 ~; 40 |; 7 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 81 ( 3 sgn 33 !; 4 ?)
% 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/sandbox2/benchmark/Axioms/NUM005+2.ax',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/sandbox2/benchmark/Axioms/NUM005+2.ax',sum_entry_point_pos_pos) ).
fof(rdn_digit_add_n8_n0_n8_n0,axiom,
rdn_digit_add(rdnn(n8),rdnn(n0),rdnn(n8),rdnn(n0)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n8_n0_n8_n0) ).
fof(rdn_digit_add_n4_n0_n4_n0,axiom,
rdn_digit_add(rdnn(n4),rdnn(n0),rdnn(n4),rdnn(n0)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n4_n0_n4_n0) ).
fof(rdn_digit_add_n4_n4_n8_n0,axiom,
rdn_digit_add(rdnn(n4),rdnn(n4),rdnn(n8),rdnn(n0)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n4_n4_n8_n0) ).
fof(sum_and_difference,conjecture,
? [X1,X2] :
( sum(X1,X2,n8)
& difference(X1,X2,n0) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',sum_and_difference) ).
fof(rdn8,axiom,
rdn_translate(n8,rdn_pos(rdnn(n8))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn8) ).
fof(minus_entry_point,axiom,
! [X1,X2,X3] :
( sum(X2,X3,X1)
<=> difference(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax',minus_entry_point) ).
fof(rdn4,axiom,
rdn_translate(n4,rdn_pos(rdnn(n4))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn4) ).
fof(rdn0,axiom,
rdn_translate(n0,rdn_pos(rdnn(n0))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn0) ).
fof(c_0_10,plain,
! [X26,X27,X28,X29,X30] :
( ~ rdn_digit_add(rdnn(X27),rdnn(X28),rdnn(X30),rdnn(n0))
| ~ rdn_digit_add(rdnn(X30),rdnn(X26),rdnn(X29),rdnn(n0))
| rdn_add_with_carry(rdnn(X26),rdnn(X27),rdnn(X28),rdnn(X29)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[add_digit_digit_digit])])])]) ).
fof(c_0_11,plain,
! [X13,X14,X15,X16,X17,X18] :
( ~ rdn_translate(X13,rdn_pos(X16))
| ~ rdn_translate(X14,rdn_pos(X17))
| ~ rdn_add_with_carry(rdnn(n0),X16,X17,X18)
| ~ rdn_translate(X15,rdn_pos(X18))
| sum(X13,X14,X15) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[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(X1),rdnn(X2),rdnn(X3),rdnn(X4))
| ~ rdn_digit_add(rdnn(X5),rdnn(X1),rdnn(X4),rdnn(n0))
| ~ rdn_digit_add(rdnn(X2),rdnn(X3),rdnn(X5),rdnn(n0)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_13,plain,
rdn_digit_add(rdnn(n8),rdnn(n0),rdnn(n8),rdnn(n0)),
inference(split_conjunct,[status(thm)],[rdn_digit_add_n8_n0_n8_n0]) ).
cnf(c_0_14,plain,
( sum(X1,X2,X3)
| ~ rdn_translate(X3,rdn_pos(X4))
| ~ rdn_add_with_carry(rdnn(n0),X5,X6,X4)
| ~ rdn_translate(X2,rdn_pos(X6))
| ~ rdn_translate(X1,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(n8))
| ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(n8),rdnn(n0)) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,plain,
rdn_digit_add(rdnn(n4),rdnn(n0),rdnn(n4),rdnn(n0)),
inference(split_conjunct,[status(thm)],[rdn_digit_add_n4_n0_n4_n0]) ).
cnf(c_0_17,plain,
( sum(X1,X2,X3)
| ~ rdn_digit_add(rdnn(X4),rdnn(X5),rdnn(n8),rdnn(n0))
| ~ rdn_translate(X3,rdn_pos(rdnn(n8)))
| ~ 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(n4),rdnn(n4),rdnn(n8),rdnn(n0)),
inference(split_conjunct,[status(thm)],[rdn_digit_add_n4_n4_n8_n0]) ).
cnf(c_0_19,plain,
( rdn_add_with_carry(rdnn(n0),rdnn(X1),rdnn(X2),rdnn(n4))
| ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(n4),rdnn(n0)) ),
inference(spm,[status(thm)],[c_0_12,c_0_16]) ).
fof(c_0_20,negated_conjecture,
~ ? [X1,X2] :
( sum(X1,X2,n8)
& difference(X1,X2,n0) ),
inference(assume_negation,[status(cth)],[sum_and_difference]) ).
cnf(c_0_21,plain,
( sum(X1,X2,X3)
| ~ rdn_translate(X3,rdn_pos(rdnn(n8)))
| ~ rdn_translate(X2,rdn_pos(rdnn(n4)))
| ~ rdn_translate(X1,rdn_pos(rdnn(n4))) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,plain,
rdn_translate(n8,rdn_pos(rdnn(n8))),
inference(split_conjunct,[status(thm)],[rdn8]) ).
cnf(c_0_23,plain,
( sum(X1,X2,X3)
| ~ rdn_digit_add(rdnn(X4),rdnn(X5),rdnn(n4),rdnn(n0))
| ~ rdn_translate(X3,rdn_pos(rdnn(n4)))
| ~ rdn_translate(X2,rdn_pos(rdnn(X5)))
| ~ rdn_translate(X1,rdn_pos(rdnn(X4))) ),
inference(spm,[status(thm)],[c_0_14,c_0_19]) ).
fof(c_0_24,negated_conjecture,
! [X3,X4] :
( ~ sum(X3,X4,n8)
| ~ difference(X3,X4,n0) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])]) ).
fof(c_0_25,plain,
! [X4,X5,X6,X4,X5,X6] :
( ( ~ sum(X5,X6,X4)
| difference(X4,X5,X6) )
& ( ~ difference(X4,X5,X6)
| sum(X5,X6,X4) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[minus_entry_point])])])]) ).
cnf(c_0_26,plain,
( sum(X1,X2,n8)
| ~ rdn_translate(X2,rdn_pos(rdnn(n4)))
| ~ rdn_translate(X1,rdn_pos(rdnn(n4))) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_27,plain,
rdn_translate(n4,rdn_pos(rdnn(n4))),
inference(split_conjunct,[status(thm)],[rdn4]) ).
cnf(c_0_28,plain,
( sum(X1,X2,X3)
| ~ rdn_translate(X3,rdn_pos(rdnn(n4)))
| ~ rdn_translate(X2,rdn_pos(rdnn(n0)))
| ~ rdn_translate(X1,rdn_pos(rdnn(n4))) ),
inference(spm,[status(thm)],[c_0_23,c_0_16]) ).
cnf(c_0_29,negated_conjecture,
( ~ difference(X1,X2,n0)
| ~ sum(X1,X2,n8) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_30,plain,
( difference(X1,X2,X3)
| ~ sum(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_31,plain,
( sum(X1,n4,n8)
| ~ rdn_translate(X1,rdn_pos(rdnn(n4))) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_32,plain,
( sum(X1,X2,n4)
| ~ rdn_translate(X2,rdn_pos(rdnn(n0)))
| ~ rdn_translate(X1,rdn_pos(rdnn(n4))) ),
inference(spm,[status(thm)],[c_0_28,c_0_27]) ).
cnf(c_0_33,plain,
rdn_translate(n0,rdn_pos(rdnn(n0))),
inference(split_conjunct,[status(thm)],[rdn0]) ).
cnf(c_0_34,negated_conjecture,
( ~ sum(X1,X2,n8)
| ~ sum(X2,n0,X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_35,plain,
sum(n4,n4,n8),
inference(spm,[status(thm)],[c_0_31,c_0_27]) ).
cnf(c_0_36,plain,
( sum(X1,n0,n4)
| ~ rdn_translate(X1,rdn_pos(rdnn(n4))) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_37,negated_conjecture,
~ sum(n4,n0,n4),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_38,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_27]),c_0_37]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM342+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n013.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 : Thu Jul 7 09:26:59 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.41/23.43 eprover: CPU time limit exceeded, terminating
% 0.41/23.44 eprover: CPU time limit exceeded, terminating
% 0.41/23.51 eprover: CPU time limit exceeded, terminating
% 0.41/23.52 eprover: CPU time limit exceeded, terminating
% 0.41/23.59 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.41/23.59
% 0.41/23.59 # Failure: Resource limit exceeded (time)
% 0.41/23.59 # OLD status Res
% 0.41/23.59 # Preprocessing time : 0.026 s
% 0.41/23.59 # Running protocol protocol_eprover_f6eb5f7f05126ea361481ae651a4823314e3d740 for 23 seconds:
% 0.41/23.59 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 0.41/23.59 # Preprocessing time : 0.015 s
% 0.41/23.59
% 0.41/23.59 # Proof found!
% 0.41/23.59 # SZS status Theorem
% 0.41/23.59 # SZS output start CNFRefutation
% See solution above
% 0.41/23.59 # Proof object total steps : 39
% 0.41/23.59 # Proof object clause steps : 24
% 0.41/23.59 # Proof object formula steps : 15
% 0.41/23.59 # Proof object conjectures : 6
% 0.41/23.59 # Proof object clause conjectures : 3
% 0.41/23.59 # Proof object formula conjectures : 3
% 0.41/23.59 # Proof object initial clauses used : 10
% 0.41/23.59 # Proof object initial formulas used : 10
% 0.41/23.59 # Proof object generating inferences : 14
% 0.41/23.59 # Proof object simplifying inferences : 1
% 0.41/23.59 # Training examples: 0 positive, 0 negative
% 0.41/23.59 # Parsed axioms : 402
% 0.41/23.59 # Removed by relevancy pruning/SinE : 265
% 0.41/23.59 # Initial clauses : 138
% 0.41/23.59 # Removed in clause preprocessing : 0
% 0.41/23.59 # Initial clauses in saturation : 138
% 0.41/23.59 # Processed clauses : 623
% 0.41/23.59 # ...of these trivial : 0
% 0.41/23.59 # ...subsumed : 16
% 0.41/23.59 # ...remaining for further processing : 607
% 0.41/23.59 # Other redundant clauses eliminated : 0
% 0.41/23.59 # Clauses deleted for lack of memory : 0
% 0.41/23.59 # Backward-subsumed : 0
% 0.41/23.59 # Backward-rewritten : 0
% 0.41/23.59 # Generated clauses : 651
% 0.41/23.59 # ...of the previous two non-trivial : 649
% 0.41/23.59 # Contextual simplify-reflections : 0
% 0.41/23.59 # Paramodulations : 651
% 0.41/23.59 # Factorizations : 0
% 0.41/23.59 # Equation resolutions : 0
% 0.41/23.59 # Current number of processed clauses : 607
% 0.41/23.59 # Positive orientable unit clauses : 166
% 0.41/23.59 # Positive unorientable unit clauses: 0
% 0.41/23.59 # Negative unit clauses : 9
% 0.41/23.59 # Non-unit-clauses : 432
% 0.41/23.59 # Current number of unprocessed clauses: 164
% 0.41/23.59 # ...number of literals in the above : 955
% 0.41/23.59 # Current number of archived formulas : 0
% 0.41/23.59 # Current number of archived clauses : 0
% 0.41/23.59 # Clause-clause subsumption calls (NU) : 35146
% 0.41/23.59 # Rec. Clause-clause subsumption calls : 22902
% 0.41/23.59 # Non-unit clause-clause subsumptions : 16
% 0.41/23.59 # Unit Clause-clause subsumption calls : 1233
% 0.41/23.59 # Rewrite failures with RHS unbound : 0
% 0.41/23.59 # BW rewrite match attempts : 4
% 0.41/23.59 # BW rewrite match successes : 0
% 0.41/23.59 # Condensation attempts : 0
% 0.41/23.59 # Condensation successes : 0
% 0.41/23.59 # Termbank termtop insertions : 27734
% 0.41/23.59
% 0.41/23.59 # -------------------------------------------------
% 0.41/23.59 # User time : 0.035 s
% 0.41/23.59 # System time : 0.004 s
% 0.41/23.59 # Total time : 0.039 s
% 0.41/23.59 # Maximum resident set size: 5584 pages
% 0.41/46.49 eprover: CPU time limit exceeded, terminating
% 0.41/46.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.41/46.50 eprover: No such file or directory
% 0.41/46.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.41/46.51 eprover: No such file or directory
% 0.41/46.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.41/46.52 eprover: No such file or directory
% 0.41/46.52 eprover: CPU time limit exceeded, terminating
% 0.41/46.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.41/46.52 eprover: No such file or directory
% 0.41/46.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.41/46.53 eprover: No such file or directory
% 0.41/46.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.41/46.54 eprover: No such file or directory
% 0.41/46.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.41/46.54 eprover: No such file or directory
% 0.41/46.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.41/46.54 eprover: No such file or directory
% 0.41/46.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.41/46.54 eprover: No such file or directory
% 0.41/46.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.41/46.54 eprover: No such file or directory
% 0.41/46.54 eprover: CPU time limit exceeded, terminating
% 0.41/46.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.41/46.55 eprover: No such file or directory
% 0.41/46.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.41/46.55 eprover: No such file or directory
% 0.41/46.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.41/46.55 eprover: No such file or directory
% 0.41/46.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.41/46.56 eprover: No such file or directory
% 0.41/46.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.41/46.56 eprover: No such file or directory
% 0.41/46.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.41/46.56 eprover: No such file or directory
% 0.41/46.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.41/46.56 eprover: No such file or directory
% 0.41/46.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.41/46.57 eprover: No such file or directory
% 0.41/46.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.41/46.57 eprover: No such file or directory
% 0.41/46.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.41/46.57 eprover: No such file or directory
% 0.41/46.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.41/46.57 eprover: No such file or directory
% 0.41/46.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.41/46.57 eprover: No such file or directory
% 0.41/46.58 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.41/46.58 eprover: No such file or directory
% 0.41/46.58 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.41/46.58 eprover: No such file or directory
%------------------------------------------------------------------------------