TSTP Solution File: NUM305+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM305+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 09:31:32 EDT 2022
% Result : Theorem 0.29s 1.46s
% Output : CNFRefutation 0.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 24 ( 15 unt; 0 def)
% Number of atoms : 50 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 49 ( 23 ~; 20 |; 4 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 43 ( 0 sgn 22 !; 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(sum_n2_n3_n5,conjecture,
sum(n2,n3,n5),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sum_n2_n3_n5) ).
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(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_8,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_9,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_10,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_8]) ).
cnf(c_0_11,plain,
rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0)),
inference(split_conjunct,[status(thm)],[rdn_digit_add_n5_n0_n5_n0]) ).
fof(c_0_12,negated_conjecture,
~ sum(n2,n3,n5),
inference(assume_negation,[status(cth)],[sum_n2_n3_n5]) ).
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_9]) ).
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_10,c_0_11]) ).
fof(c_0_15,negated_conjecture,
~ sum(n2,n3,n5),
inference(fof_simplification,[status(thm)],[c_0_12]) ).
cnf(c_0_16,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_17,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_18,negated_conjecture,
~ sum(n2,n3,n5),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_19,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_16,c_0_17]) ).
cnf(c_0_20,plain,
rdn_translate(n5,rdn_pos(rdnn(n5))),
inference(split_conjunct,[status(thm)],[rdn5]) ).
cnf(c_0_21,plain,
rdn_translate(n3,rdn_pos(rdnn(n3))),
inference(split_conjunct,[status(thm)],[rdn3]) ).
cnf(c_0_22,plain,
rdn_translate(n2,rdn_pos(rdnn(n2))),
inference(split_conjunct,[status(thm)],[rdn2]) ).
cnf(c_0_23,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),c_0_21]),c_0_22])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.14 % Problem : NUM305+1 : TPTP v8.1.0. Released v3.1.0.
% 0.14/0.14 % Command : run_ET %s %d
% 0.15/0.36 % Computer : n013.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Thu Jul 7 02:20:44 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.29/1.46 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.29/1.46 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.29/1.46 # Preprocessing time : 0.025 s
% 0.29/1.46
% 0.29/1.46 # Proof found!
% 0.29/1.46 # SZS status Theorem
% 0.29/1.46 # SZS output start CNFRefutation
% See solution above
% 0.29/1.46 # Proof object total steps : 24
% 0.29/1.46 # Proof object clause steps : 12
% 0.29/1.46 # Proof object formula steps : 12
% 0.29/1.46 # Proof object conjectures : 5
% 0.29/1.46 # Proof object clause conjectures : 2
% 0.29/1.46 # Proof object formula conjectures : 3
% 0.29/1.46 # Proof object initial clauses used : 8
% 0.29/1.46 # Proof object initial formulas used : 8
% 0.29/1.46 # Proof object generating inferences : 4
% 0.29/1.46 # Proof object simplifying inferences : 4
% 0.29/1.46 # Training examples: 0 positive, 0 negative
% 0.29/1.46 # Parsed axioms : 402
% 0.29/1.46 # Removed by relevancy pruning/SinE : 301
% 0.29/1.46 # Initial clauses : 101
% 0.29/1.46 # Removed in clause preprocessing : 0
% 0.29/1.46 # Initial clauses in saturation : 101
% 0.29/1.46 # Processed clauses : 368
% 0.29/1.46 # ...of these trivial : 0
% 0.29/1.46 # ...subsumed : 50
% 0.29/1.46 # ...remaining for further processing : 318
% 0.29/1.46 # Other redundant clauses eliminated : 0
% 0.29/1.46 # Clauses deleted for lack of memory : 0
% 0.29/1.46 # Backward-subsumed : 7
% 0.29/1.46 # Backward-rewritten : 0
% 0.29/1.46 # Generated clauses : 512
% 0.29/1.46 # ...of the previous two non-trivial : 460
% 0.29/1.46 # Contextual simplify-reflections : 10
% 0.29/1.46 # Paramodulations : 512
% 0.29/1.46 # Factorizations : 0
% 0.29/1.46 # Equation resolutions : 0
% 0.29/1.46 # Current number of processed clauses : 311
% 0.29/1.46 # Positive orientable unit clauses : 115
% 0.29/1.46 # Positive unorientable unit clauses: 0
% 0.29/1.46 # Negative unit clauses : 1
% 0.29/1.46 # Non-unit-clauses : 195
% 0.29/1.46 # Current number of unprocessed clauses: 193
% 0.29/1.46 # ...number of literals in the above : 781
% 0.29/1.46 # Current number of archived formulas : 0
% 0.29/1.46 # Current number of archived clauses : 7
% 0.29/1.46 # Clause-clause subsumption calls (NU) : 3418
% 0.29/1.46 # Rec. Clause-clause subsumption calls : 2084
% 0.29/1.46 # Non-unit clause-clause subsumptions : 67
% 0.29/1.46 # Unit Clause-clause subsumption calls : 54
% 0.29/1.46 # Rewrite failures with RHS unbound : 0
% 0.29/1.46 # BW rewrite match attempts : 0
% 0.29/1.46 # BW rewrite match successes : 0
% 0.29/1.46 # Condensation attempts : 0
% 0.29/1.46 # Condensation successes : 0
% 0.29/1.46 # Termbank termtop insertions : 19653
% 0.29/1.46
% 0.29/1.46 # -------------------------------------------------
% 0.29/1.46 # User time : 0.045 s
% 0.29/1.46 # System time : 0.004 s
% 0.29/1.46 # Total time : 0.049 s
% 0.29/1.46 # Maximum resident set size: 4780 pages
% 0.29/23.46 eprover: CPU time limit exceeded, terminating
% 0.29/23.47 eprover: CPU time limit exceeded, terminating
% 0.29/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.47 eprover: No such file or directory
% 0.29/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.47 eprover: No such file or directory
% 0.29/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.48 eprover: No such file or directory
% 0.29/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.48 eprover: No such file or directory
% 0.29/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.48 eprover: No such file or directory
% 0.29/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.48 eprover: No such file or directory
% 0.29/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.49 eprover: No such file or directory
% 0.29/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.49 eprover: No such file or directory
% 0.29/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.49 eprover: No such file or directory
% 0.29/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.49 eprover: No such file or directory
% 0.29/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.50 eprover: No such file or directory
% 0.29/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.50 eprover: No such file or directory
% 0.29/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.50 eprover: No such file or directory
% 0.29/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.50 eprover: No such file or directory
% 0.29/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.50 eprover: No such file or directory
% 0.29/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.51 eprover: No such file or directory
% 0.29/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.51 eprover: No such file or directory
% 0.29/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.51 eprover: No such file or directory
% 0.29/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.51 eprover: No such file or directory
% 0.29/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.51 eprover: No such file or directory
% 0.29/23.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.52 eprover: No such file or directory
% 0.29/23.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.52 eprover: No such file or directory
% 0.29/23.56 eprover: CPU time limit exceeded, terminating
% 0.29/23.57 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.57 eprover: No such file or directory
% 0.29/23.57 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.57 eprover: No such file or directory
% 0.29/23.57 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.57 eprover: No such file or directory
% 0.29/23.58 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.58 eprover: No such file or directory
% 0.29/23.58 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.58 eprover: No such file or directory
% 0.29/23.58 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.58 eprover: No such file or directory
% 0.29/23.59 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.59 eprover: No such file or directory
% 0.29/23.59 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.59 eprover: No such file or directory
%------------------------------------------------------------------------------