TSTP Solution File: NUM312+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM312+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 09:31:34 EDT 2022
% Result : Theorem 0.39s 23.57s
% Output : CNFRefutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 32 ( 14 unt; 0 def)
% Number of atoms : 71 ( 8 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 70 ( 31 ~; 28 |; 6 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-1 aty)
% Number of variables : 61 ( 0 sgn 32 !; 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/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/sandbox/benchmark/Axioms/NUM005+2.ax',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/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n5_n0_n5_n0) ).
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(sum_only_n2_n3_n5,conjecture,
! [X1] :
( sum(X1,n3,n5)
=> X1 = n2 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',sum_only_n2_n3_n5) ).
fof(rdn5,axiom,
rdn_translate(n5,rdn_pos(rdnn(n5))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn5) ).
fof(unique_LHS,axiom,
! [X17,X18,X2,X3] :
( ( sum(X17,X2,X3)
& sum(X18,X2,X3) )
=> X17 = X18 ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',unique_LHS) ).
fof(rdn3,axiom,
rdn_translate(n3,rdn_pos(rdnn(n3))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn3) ).
fof(rdn2,axiom,
rdn_translate(n2,rdn_pos(rdnn(n2))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn2) ).
fof(c_0_9,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_10,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_11,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_9]) ).
cnf(c_0_12,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_13,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_10]) ).
cnf(c_0_14,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_11,c_0_12]) ).
cnf(c_0_15,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_13,c_0_14]) ).
cnf(c_0_16,plain,
rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0)),
inference(split_conjunct,[status(thm)],[rdn_digit_add_n2_n3_n5_n0]) ).
fof(c_0_17,negated_conjecture,
~ ! [X1] :
( sum(X1,n3,n5)
=> X1 = n2 ),
inference(assume_negation,[status(cth)],[sum_only_n2_n3_n5]) ).
cnf(c_0_18,plain,
( sum(X1,X2,X3)
| ~ rdn_translate(X3,rdn_pos(rdnn(n5)))
| ~ rdn_translate(X2,rdn_pos(rdnn(n3)))
| ~ rdn_translate(X1,rdn_pos(rdnn(n2))) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,plain,
rdn_translate(n5,rdn_pos(rdnn(n5))),
inference(split_conjunct,[status(thm)],[rdn5]) ).
fof(c_0_20,plain,
! [X19,X20,X21,X22] :
( ~ sum(X19,X21,X22)
| ~ sum(X20,X21,X22)
| X19 = X20 ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[unique_LHS])])])]) ).
fof(c_0_21,negated_conjecture,
( sum(esk1_0,n3,n5)
& esk1_0 != n2 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])]) ).
cnf(c_0_22,plain,
( sum(X1,X2,n5)
| ~ rdn_translate(X2,rdn_pos(rdnn(n3)))
| ~ rdn_translate(X1,rdn_pos(rdnn(n2))) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,plain,
rdn_translate(n3,rdn_pos(rdnn(n3))),
inference(split_conjunct,[status(thm)],[rdn3]) ).
cnf(c_0_24,plain,
( X1 = X2
| ~ sum(X2,X3,X4)
| ~ sum(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_25,negated_conjecture,
sum(esk1_0,n3,n5),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_26,plain,
( sum(X1,n3,n5)
| ~ rdn_translate(X1,rdn_pos(rdnn(n2))) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_27,plain,
rdn_translate(n2,rdn_pos(rdnn(n2))),
inference(split_conjunct,[status(thm)],[rdn2]) ).
cnf(c_0_28,negated_conjecture,
( X1 = esk1_0
| ~ sum(X1,n3,n5) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_29,plain,
sum(n2,n3,n5),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_30,negated_conjecture,
esk1_0 != n2,
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_31,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM312+1 : TPTP v8.1.0. Released v3.1.0.
% 0.06/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n028.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 : Tue Jul 5 09:08:06 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.39/23.42 eprover: CPU time limit exceeded, terminating
% 0.39/23.43 eprover: CPU time limit exceeded, terminating
% 0.39/23.45 eprover: CPU time limit exceeded, terminating
% 0.39/23.51 eprover: CPU time limit exceeded, terminating
% 0.39/23.57 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.39/23.57
% 0.39/23.57 # Failure: Resource limit exceeded (time)
% 0.39/23.57 # OLD status Res
% 0.39/23.57 # Preprocessing time : 0.026 s
% 0.39/23.57 # Running protocol protocol_eprover_f6eb5f7f05126ea361481ae651a4823314e3d740 for 23 seconds:
% 0.39/23.57 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 0.39/23.57 # Preprocessing time : 0.025 s
% 0.39/23.57
% 0.39/23.57 # Proof found!
% 0.39/23.57 # SZS status Theorem
% 0.39/23.57 # SZS output start CNFRefutation
% See solution above
% 0.39/23.57 # Proof object total steps : 32
% 0.39/23.57 # Proof object clause steps : 18
% 0.39/23.57 # Proof object formula steps : 14
% 0.39/23.57 # Proof object conjectures : 7
% 0.39/23.57 # Proof object clause conjectures : 4
% 0.39/23.57 # Proof object formula conjectures : 3
% 0.39/23.57 # Proof object initial clauses used : 10
% 0.39/23.57 # Proof object initial formulas used : 9
% 0.39/23.57 # Proof object generating inferences : 8
% 0.39/23.57 # Proof object simplifying inferences : 1
% 0.39/23.57 # Training examples: 0 positive, 0 negative
% 0.39/23.57 # Parsed axioms : 402
% 0.39/23.57 # Removed by relevancy pruning/SinE : 266
% 0.39/23.57 # Initial clauses : 137
% 0.39/23.57 # Removed in clause preprocessing : 0
% 0.39/23.57 # Initial clauses in saturation : 137
% 0.39/23.57 # Processed clauses : 434
% 0.39/23.57 # ...of these trivial : 0
% 0.39/23.57 # ...subsumed : 120
% 0.39/23.57 # ...remaining for further processing : 314
% 0.39/23.57 # Other redundant clauses eliminated : 0
% 0.39/23.57 # Clauses deleted for lack of memory : 0
% 0.39/23.57 # Backward-subsumed : 0
% 0.39/23.57 # Backward-rewritten : 0
% 0.39/23.57 # Generated clauses : 455
% 0.39/23.57 # ...of the previous two non-trivial : 454
% 0.39/23.57 # Contextual simplify-reflections : 0
% 0.39/23.57 # Paramodulations : 455
% 0.39/23.57 # Factorizations : 0
% 0.39/23.57 # Equation resolutions : 0
% 0.39/23.57 # Current number of processed clauses : 314
% 0.39/23.57 # Positive orientable unit clauses : 126
% 0.39/23.57 # Positive unorientable unit clauses: 0
% 0.39/23.57 # Negative unit clauses : 1
% 0.39/23.57 # Non-unit-clauses : 187
% 0.39/23.57 # Current number of unprocessed clauses: 157
% 0.39/23.57 # ...number of literals in the above : 954
% 0.39/23.57 # Current number of archived formulas : 0
% 0.39/23.57 # Current number of archived clauses : 0
% 0.39/23.57 # Clause-clause subsumption calls (NU) : 9197
% 0.39/23.57 # Rec. Clause-clause subsumption calls : 8018
% 0.39/23.57 # Non-unit clause-clause subsumptions : 120
% 0.39/23.57 # Unit Clause-clause subsumption calls : 0
% 0.39/23.57 # Rewrite failures with RHS unbound : 0
% 0.39/23.57 # BW rewrite match attempts : 0
% 0.39/23.57 # BW rewrite match successes : 0
% 0.39/23.57 # Condensation attempts : 0
% 0.39/23.57 # Condensation successes : 0
% 0.39/23.57 # Termbank termtop insertions : 22058
% 0.39/23.57
% 0.39/23.57 # -------------------------------------------------
% 0.39/23.57 # User time : 0.045 s
% 0.39/23.57 # System time : 0.003 s
% 0.39/23.57 # Total time : 0.048 s
% 0.39/23.57 # Maximum resident set size: 5048 pages
% 0.39/46.46 eprover: CPU time limit exceeded, terminating
% 0.39/46.46 eprover: CPU time limit exceeded, terminating
% 0.39/46.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.47 eprover: No such file or directory
% 0.39/46.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.48 eprover: No such file or directory
% 0.39/46.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.48 eprover: No such file or directory
% 0.39/46.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.48 eprover: No such file or directory
% 0.39/46.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.48 eprover: No such file or directory
% 0.39/46.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.49 eprover: No such file or directory
% 0.39/46.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.49 eprover: No such file or directory
% 0.39/46.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.49 eprover: No such file or directory
% 0.39/46.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.49 eprover: No such file or directory
% 0.39/46.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.50 eprover: eprover: No such file or directory
% 0.39/46.50 Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.50 eprover: No such file or directory
% 0.39/46.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.50 eprover: No such file or directory
% 0.39/46.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.50 eprover: No such file or directory
% 0.39/46.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.50 eprover: No such file or directory
% 0.39/46.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.51 eprover: No such file or directory
% 0.39/46.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.52 eprover: No such file or directory
% 0.39/46.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.52 eprover: No such file or directory
% 0.39/46.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.53 eprover: No such file or directory
% 0.39/46.54 eprover: CPU time limit exceeded, terminating
% 0.39/46.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/46.55 eprover: No such file or directory
% 0.39/46.56 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/46.56 eprover: No such file or directory
% 0.39/46.56 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/46.56 eprover: No such file or directory
% 0.39/46.56 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/46.56 eprover: No such file or directory
% 0.39/46.57 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/46.57 eprover: No such file or directory
% 0.39/46.57 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/46.57 eprover: No such file or directory
%------------------------------------------------------------------------------