TSTP Solution File: NUM325+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM325+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n021.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 09:31:38 EDT 2022
% Result : Theorem 0.25s 1.44s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 39 ( 24 unt; 0 def)
% Number of atoms : 79 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 75 ( 35 ~; 31 |; 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 : 61 ( 2 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/sandbox2/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/sandbox2/benchmark/Axioms/NUM005+2.ax',add_digit_digit_digit) ).
fof(rdn_positive_less34,axiom,
rdn_positive_less(rdnn(n3),rdnn(n4)),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n5_n0_n5_n0) ).
fof(rdn_positive_less45,axiom,
rdn_positive_less(rdnn(n4),rdnn(n5)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less45) ).
fof(rdn_positive_less23,axiom,
rdn_positive_less(rdnn(n2),rdnn(n3)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less23) ).
fof(sum_what_nn2_n3,conjecture,
? [X1] : sum(X1,nn2,n3),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sum_what_nn2_n3) ).
fof(rdn_digit_add_n2_n3_n5_n0,axiom,
rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n2_n3_n5_n0) ).
fof(rdnn2,axiom,
rdn_translate(nn2,rdn_neg(rdnn(n2))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdnn2) ).
fof(rdn3,axiom,
rdn_translate(n3,rdn_pos(rdnn(n3))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn3) ).
fof(rdn5,axiom,
rdn_translate(n5,rdn_pos(rdnn(n5))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn5) ).
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(n3),rdnn(n4)),
inference(split_conjunct,[status(thm)],[rdn_positive_less34]) ).
fof(c_0_16,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_17,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_18,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_19,plain,
rdn_positive_less(rdnn(n4),rdnn(n5)),
inference(split_conjunct,[status(thm)],[rdn_positive_less45]) ).
cnf(c_0_20,plain,
( rdn_positive_less(rdnn(X1),rdnn(n4))
| ~ rdn_positive_less(rdnn(X1),rdnn(n3)) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_21,plain,
rdn_positive_less(rdnn(n2),rdnn(n3)),
inference(split_conjunct,[status(thm)],[rdn_positive_less23]) ).
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_16]) ).
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_17,c_0_18]) ).
cnf(c_0_24,plain,
( rdn_positive_less(rdnn(X1),rdnn(n5))
| ~ rdn_positive_less(rdnn(X1),rdnn(n4)) ),
inference(spm,[status(thm)],[c_0_14,c_0_19]) ).
cnf(c_0_25,plain,
rdn_positive_less(rdnn(n2),rdnn(n4)),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
fof(c_0_26,negated_conjecture,
~ ? [X1] : sum(X1,nn2,n3),
inference(assume_negation,[status(cth)],[sum_what_nn2_n3]) ).
cnf(c_0_27,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_28,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_29,plain,
rdn_positive_less(rdnn(n2),rdnn(n5)),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
fof(c_0_30,negated_conjecture,
! [X2] : ~ sum(X2,nn2,n3),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])]) ).
cnf(c_0_31,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_27,c_0_28]),c_0_29])]) ).
cnf(c_0_32,plain,
rdn_translate(nn2,rdn_neg(rdnn(n2))),
inference(split_conjunct,[status(thm)],[rdnn2]) ).
cnf(c_0_33,negated_conjecture,
~ sum(X1,nn2,n3),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_34,plain,
( sum(X1,nn2,X2)
| ~ rdn_translate(X1,rdn_pos(rdnn(n5)))
| ~ rdn_translate(X2,rdn_pos(rdnn(n3))) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_35,plain,
rdn_translate(n3,rdn_pos(rdnn(n3))),
inference(split_conjunct,[status(thm)],[rdn3]) ).
cnf(c_0_36,plain,
rdn_translate(n5,rdn_pos(rdnn(n5))),
inference(split_conjunct,[status(thm)],[rdn5]) ).
cnf(c_0_37,negated_conjecture,
~ rdn_translate(X1,rdn_pos(rdnn(n5))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35])]) ).
cnf(c_0_38,plain,
$false,
inference(sr,[status(thm)],[c_0_36,c_0_37]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : NUM325+1 : TPTP v8.1.0. Released v3.1.0.
% 0.10/0.13 % Command : run_ET %s %d
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Wed Jul 6 20:35:19 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.25/1.44 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.25/1.44 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.25/1.44 # Preprocessing time : 0.023 s
% 0.25/1.44
% 0.25/1.44 # Proof found!
% 0.25/1.44 # SZS status Theorem
% 0.25/1.44 # SZS output start CNFRefutation
% See solution above
% 0.25/1.44 # Proof object total steps : 39
% 0.25/1.44 # Proof object clause steps : 22
% 0.25/1.44 # Proof object formula steps : 17
% 0.25/1.44 # Proof object conjectures : 5
% 0.25/1.44 # Proof object clause conjectures : 2
% 0.25/1.44 # Proof object formula conjectures : 3
% 0.25/1.44 # Proof object initial clauses used : 12
% 0.25/1.44 # Proof object initial formulas used : 12
% 0.25/1.44 # Proof object generating inferences : 9
% 0.25/1.44 # Proof object simplifying inferences : 5
% 0.25/1.44 # Training examples: 0 positive, 0 negative
% 0.25/1.44 # Parsed axioms : 402
% 0.25/1.44 # Removed by relevancy pruning/SinE : 301
% 0.25/1.44 # Initial clauses : 101
% 0.25/1.44 # Removed in clause preprocessing : 0
% 0.25/1.44 # Initial clauses in saturation : 101
% 0.25/1.44 # Processed clauses : 1893
% 0.25/1.44 # ...of these trivial : 7
% 0.25/1.44 # ...subsumed : 890
% 0.25/1.44 # ...remaining for further processing : 996
% 0.25/1.44 # Other redundant clauses eliminated : 0
% 0.25/1.44 # Clauses deleted for lack of memory : 0
% 0.25/1.44 # Backward-subsumed : 100
% 0.25/1.44 # Backward-rewritten : 0
% 0.25/1.44 # Generated clauses : 7118
% 0.25/1.44 # ...of the previous two non-trivial : 7054
% 0.25/1.44 # Contextual simplify-reflections : 848
% 0.25/1.44 # Paramodulations : 7117
% 0.25/1.44 # Factorizations : 0
% 0.25/1.44 # Equation resolutions : 0
% 0.25/1.44 # Current number of processed clauses : 895
% 0.25/1.44 # Positive orientable unit clauses : 121
% 0.25/1.44 # Positive unorientable unit clauses: 0
% 0.25/1.44 # Negative unit clauses : 4
% 0.25/1.44 # Non-unit-clauses : 770
% 0.25/1.44 # Current number of unprocessed clauses: 4539
% 0.25/1.44 # ...number of literals in the above : 22129
% 0.25/1.44 # Current number of archived formulas : 0
% 0.25/1.44 # Current number of archived clauses : 101
% 0.25/1.44 # Clause-clause subsumption calls (NU) : 107166
% 0.25/1.44 # Rec. Clause-clause subsumption calls : 46917
% 0.25/1.44 # Non-unit clause-clause subsumptions : 1575
% 0.25/1.44 # Unit Clause-clause subsumption calls : 730
% 0.25/1.44 # Rewrite failures with RHS unbound : 0
% 0.25/1.44 # BW rewrite match attempts : 3
% 0.25/1.44 # BW rewrite match successes : 0
% 0.25/1.44 # Condensation attempts : 0
% 0.25/1.44 # Condensation successes : 0
% 0.25/1.44 # Termbank termtop insertions : 126710
% 0.25/1.44
% 0.25/1.44 # -------------------------------------------------
% 0.25/1.44 # User time : 0.206 s
% 0.25/1.44 # System time : 0.008 s
% 0.25/1.44 # Total time : 0.214 s
% 0.25/1.44 # Maximum resident set size: 8740 pages
% 0.25/23.44 eprover: CPU time limit exceeded, terminating
% 0.25/23.44 eprover: CPU time limit exceeded, terminating
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.50 eprover: No such file or directory
% 0.25/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.50 eprover: No such file or directory
% 0.25/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.50 eprover: No such file or directory
% 0.25/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.50 eprover: No such file or directory
% 0.25/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.51 eprover: No such file or directory
% 0.25/23.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.52 eprover: No such file or directory
% 0.25/23.54 eprover: CPU time limit exceeded, terminating
% 0.25/23.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.55 eprover: No such file or directory
% 0.25/23.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.56 eprover: No such file or directory
% 0.25/23.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.56 eprover: No such file or directory
% 0.25/23.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.56 eprover: No such file or directory
% 0.25/23.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.57 eprover: No such file or directory
% 0.25/23.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.57 eprover: No such file or directory
% 0.25/23.58 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.58 eprover: No such file or directory
% 0.25/23.58 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.58 eprover: No such file or directory
%------------------------------------------------------------------------------