%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM321+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n028.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 09:31:37 EDT 2022
% Result : Theorem 0.38s 23.57s
% Output : CNFRefutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 39 ( 22 unt; 0 def)
% Number of atoms : 81 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 78 ( 36 ~; 33 |; 6 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-1 aty)
% Number of variables : 62 ( 1 sgn 29 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(rdn_positive_less_transitivity,axiom,
! [X1,X2,X3] :
( ( rdn_positive_less(rdnn(X1),rdnn(X2))
& rdn_positive_less(rdnn(X2),rdnn(X3)) )
=> rdn_positive_less(rdnn(X1),rdnn(X3)) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less_transitivity) ).
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/benchmark/Axioms/NUM005+2.ax',add_digit_digit_digit) ).
fof(rdn_positive_less45,axiom,
rdn_positive_less(rdnn(n4),rdnn(n5)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less45) ).
fof(rdn_positive_less34,axiom,
rdn_positive_less(rdnn(n3),rdnn(n4)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less34) ).
fof(sum_entry_point_pos_neg_2,axiom,
! [X1,X2,X3,X10,X11,X12] :
( ( rdn_translate(X1,rdn_pos(X10))
& rdn_translate(X2,rdn_neg(X11))
& rdn_positive_less(X11,X10)
& rdn_add_with_carry(rdnn(n0),X11,X12,X10)
& rdn_translate(X3,rdn_pos(X12)) )
=> sum(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',sum_entry_point_pos_neg_2) ).
fof(rdn_digit_add_n5_n0_n5_n0,axiom,
rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n5_n0_n5_n0) ).
fof(rdn_positive_less23,axiom,
rdn_positive_less(rdnn(n2),rdnn(n3)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less23) ).
fof(rdn_digit_add_n2_n3_n5_n0,axiom,
rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n2_n3_n5_n0) ).
fof(rdn5,axiom,
rdn_translate(n5,rdn_pos(rdnn(n5))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn5) ).
fof(sum_n5_nn2_what,conjecture,
? [X1] : sum(n5,nn2,X1),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',sum_n5_nn2_what) ).
fof(rdn3,axiom,
rdn_translate(n3,rdn_pos(rdnn(n3))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn3) ).
fof(rdnn2,axiom,
rdn_translate(nn2,rdn_neg(rdnn(n2))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn2) ).
fof(c_0_12,plain,
! [X4,X5,X6] :
( ~ rdn_positive_less(rdnn(X4),rdnn(X5))
| ~ rdn_positive_less(rdnn(X5),rdnn(X6))
| rdn_positive_less(rdnn(X4),rdnn(X6)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdn_positive_less_transitivity])]) ).
fof(c_0_13,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])])])]) ).
cnf(c_0_14,plain,
( rdn_positive_less(rdnn(X1),rdnn(X2))
| ~ rdn_positive_less(rdnn(X3),rdnn(X2))
| ~ rdn_positive_less(rdnn(X1),rdnn(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_15,plain,
rdn_positive_less(rdnn(n4),rdnn(n5)),
inference(split_conjunct,[status(thm)],[rdn_positive_less45]) ).
cnf(c_0_16,plain,
rdn_positive_less(rdnn(n3),rdnn(n4)),
inference(split_conjunct,[status(thm)],[rdn_positive_less34]) ).
fof(c_0_17,plain,
! [X13,X14,X15,X16,X17,X18] :
( ~ rdn_translate(X13,rdn_pos(X16))
| ~ rdn_translate(X14,rdn_neg(X17))
| ~ rdn_positive_less(X17,X16)
| ~ rdn_add_with_carry(rdnn(n0),X17,X18,X16)
| ~ 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_neg_2])])])]) ).
cnf(c_0_18,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_13]) ).
cnf(c_0_19,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_20,plain,
( rdn_positive_less(rdnn(X1),rdnn(n5))
| ~ rdn_positive_less(rdnn(X1),rdnn(n4)) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_21,plain,
( rdn_positive_less(rdnn(X1),rdnn(n4))
| ~ rdn_positive_less(rdnn(X1),rdnn(n3)) ),
inference(spm,[status(thm)],[c_0_14,c_0_16]) ).
cnf(c_0_22,plain,
( sum(X1,X2,X3)
| ~ rdn_translate(X3,rdn_pos(X4))
| ~ rdn_add_with_carry(rdnn(n0),X5,X4,X6)
| ~ rdn_positive_less(X5,X6)
| ~ rdn_translate(X2,rdn_neg(X5))
| ~ rdn_translate(X1,rdn_pos(X6)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_23,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_18,c_0_19]) ).
cnf(c_0_24,plain,
( rdn_positive_less(rdnn(X1),rdnn(n5))
| ~ rdn_positive_less(rdnn(X1),rdnn(n3)) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,plain,
rdn_positive_less(rdnn(n2),rdnn(n3)),
inference(split_conjunct,[status(thm)],[rdn_positive_less23]) ).
cnf(c_0_26,plain,
( sum(X1,X2,X3)
| ~ rdn_digit_add(rdnn(X4),rdnn(X5),rdnn(n5),rdnn(n0))
| ~ rdn_positive_less(rdnn(X4),rdnn(n5))
| ~ rdn_translate(X1,rdn_pos(rdnn(n5)))
| ~ rdn_translate(X3,rdn_pos(rdnn(X5)))
| ~ rdn_translate(X2,rdn_neg(rdnn(X4))) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_27,plain,
rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0)),
inference(split_conjunct,[status(thm)],[rdn_digit_add_n2_n3_n5_n0]) ).
cnf(c_0_28,plain,
rdn_positive_less(rdnn(n2),rdnn(n5)),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_29,plain,
( sum(X1,X2,X3)
| ~ rdn_translate(X1,rdn_pos(rdnn(n5)))
| ~ rdn_translate(X3,rdn_pos(rdnn(n3)))
| ~ rdn_translate(X2,rdn_neg(rdnn(n2))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28])]) ).
cnf(c_0_30,plain,
rdn_translate(n5,rdn_pos(rdnn(n5))),
inference(split_conjunct,[status(thm)],[rdn5]) ).
fof(c_0_31,negated_conjecture,
~ ? [X1] : sum(n5,nn2,X1),
inference(assume_negation,[status(cth)],[sum_n5_nn2_what]) ).
cnf(c_0_32,plain,
( sum(n5,X1,X2)
| ~ rdn_translate(X2,rdn_pos(rdnn(n3)))
| ~ rdn_translate(X1,rdn_neg(rdnn(n2))) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_33,plain,
rdn_translate(n3,rdn_pos(rdnn(n3))),
inference(split_conjunct,[status(thm)],[rdn3]) ).
fof(c_0_34,negated_conjecture,
! [X2] : ~ sum(n5,nn2,X2),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])]) ).
cnf(c_0_35,plain,
( sum(n5,X1,n3)
| ~ rdn_translate(X1,rdn_neg(rdnn(n2))) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_36,plain,
rdn_translate(nn2,rdn_neg(rdnn(n2))),
inference(split_conjunct,[status(thm)],[rdnn2]) ).
cnf(c_0_37,negated_conjecture,
~ sum(n5,nn2,X1),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_38,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM321+1 : TPTP v8.1.0. Released v3.1.0.
% 0.10/0.12 % Command : run_ET %s %d
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Wed Jul 6 06:17:22 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.38/23.41 eprover: CPU time limit exceeded, terminating
% 0.38/23.42 eprover: CPU time limit exceeded, terminating
% 0.38/23.51 eprover: CPU time limit exceeded, terminating
% 0.38/23.57 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.38/23.57
% 0.38/23.57 # Failure: Resource limit exceeded (time)
% 0.38/23.57 # OLD status Res
% 0.38/23.57 # Preprocessing time : 0.026 s
% 0.38/23.57 # Running protocol protocol_eprover_f6eb5f7f05126ea361481ae651a4823314e3d740 for 23 seconds:
% 0.38/23.57 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 0.38/23.57 # Preprocessing time : 0.018 s
% 0.38/23.57
% 0.38/23.57 # Proof found!
% 0.38/23.57 # SZS status Theorem
% 0.38/23.57 # SZS output start CNFRefutation
% See solution above
% 0.38/23.57 # Proof object total steps : 39
% 0.38/23.57 # Proof object clause steps : 22
% 0.38/23.57 # Proof object formula steps : 17
% 0.38/23.57 # Proof object conjectures : 4
% 0.38/23.57 # Proof object clause conjectures : 1
% 0.38/23.57 # Proof object formula conjectures : 3
% 0.38/23.57 # Proof object initial clauses used : 12
% 0.38/23.57 # Proof object initial formulas used : 12
% 0.38/23.57 # Proof object generating inferences : 10
% 0.38/23.57 # Proof object simplifying inferences : 3
% 0.38/23.57 # Training examples: 0 positive, 0 negative
% 0.38/23.57 # Parsed axioms : 402
% 0.38/23.57 # Removed by relevancy pruning/SinE : 265
% 0.38/23.57 # Initial clauses : 137
% 0.38/23.57 # Removed in clause preprocessing : 0
% 0.38/23.57 # Initial clauses in saturation : 137
% 0.38/23.57 # Processed clauses : 1060
% 0.38/23.57 # ...of these trivial : 0
% 0.38/23.57 # ...subsumed : 222
% 0.38/23.57 # ...remaining for further processing : 838
% 0.38/23.57 # Other redundant clauses eliminated : 0
% 0.38/23.57 # Clauses deleted for lack of memory : 0
% 0.38/23.57 # Backward-subsumed : 30
% 0.38/23.57 # Backward-rewritten : 0
% 0.38/23.57 # Generated clauses : 1058
% 0.38/23.57 # ...of the previous two non-trivial : 1057
% 0.38/23.57 # Contextual simplify-reflections : 0
% 0.38/23.57 # Paramodulations : 1058
% 0.38/23.57 # Factorizations : 0
% 0.38/23.57 # Equation resolutions : 0
% 0.38/23.57 # Current number of processed clauses : 808
% 0.38/23.57 # Positive orientable unit clauses : 178
% 0.38/23.57 # Positive unorientable unit clauses: 0
% 0.38/23.57 # Negative unit clauses : 1
% 0.38/23.57 # Non-unit-clauses : 629
% 0.38/23.57 # Current number of unprocessed clauses: 134
% 0.38/23.57 # ...number of literals in the above : 850
% 0.38/23.57 # Current number of archived formulas : 0
% 0.38/23.57 # Current number of archived clauses : 30
% 0.38/23.57 # Clause-clause subsumption calls (NU) : 98177
% 0.38/23.57 # Rec. Clause-clause subsumption calls : 59950
% 0.38/23.57 # Non-unit clause-clause subsumptions : 251
% 0.38/23.57 # Unit Clause-clause subsumption calls : 26
% 0.38/23.57 # Rewrite failures with RHS unbound : 0
% 0.38/23.57 # BW rewrite match attempts : 0
% 0.38/23.57 # BW rewrite match successes : 0
% 0.38/23.57 # Condensation attempts : 0
% 0.38/23.57 # Condensation successes : 0
% 0.38/23.57 # Termbank termtop insertions : 35021
% 0.38/23.57
% 0.38/23.57 # -------------------------------------------------
% 0.38/23.57 # User time : 0.057 s
% 0.38/23.57 # System time : 0.001 s
% 0.38/23.57 # Total time : 0.058 s
% 0.38/23.57 # Maximum resident set size: 5840 pages
% 0.38/24.50 eprover: CPU time limit exceeded, terminating
% 0.38/24.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.38/24.52 eprover: No such file or directory
% 0.38/24.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.38/24.52 eprover: No such file or directory
% 0.38/24.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.38/24.53 eprover: No such file or directory
% 0.38/24.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.38/24.53 eprover: No such file or directory
% 0.38/24.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.38/24.53 eprover: No such file or directory
% 0.38/24.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.38/24.54 eprover: No such file or directory
% 0.38/24.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.38/24.54 eprover: No such file or directory
% 0.38/24.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.38/24.54 eprover: No such file or directory
% 0.38/24.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.38/24.55 eprover: No such file or directory
% 0.38/24.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.38/24.55 eprover: No such file or directory
% 0.38/36.98 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.38/36.98 eprover: No such file or directory
% 0.38/36.98 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.38/36.98 eprover: No such file or directory
% 0.38/36.99 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.38/36.99 eprover: No such file or directory
% 0.38/36.99 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.38/36.99 eprover: No such file or directory
% 0.38/37.00 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.38/37.00 eprover: No such file or directory
% 0.38/37.00 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.38/37.00 eprover: No such file or directory
% 0.38/37.01 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.38/37.01 eprover: No such file or directory
% 0.38/37.02 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.38/37.02 eprover: No such file or directory
% 0.38/37.02 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.38/37.02 eprover: No such file or directory
% 0.38/37.03 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.38/37.03 eprover: No such file or directory
% 0.38/39.77 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.38/39.77 eprover: No such file or directory
% 0.38/39.78 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.38/39.78 eprover: No such file or directory
% 0.38/39.78 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.38/39.78 eprover: No such file or directory
% 0.38/39.78 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.38/39.78 eprover: No such file or directory
% 0.38/39.79 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.38/39.79 eprover: No such file or directory
% 0.38/39.79 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.38/39.79 eprover: No such file or directory
% 0.38/39.79 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.38/39.79 eprover: No such file or directory
%------------------------------------------------------------------------------