TSTP Solution File: NUM345+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM345+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n005.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 09:31:45 EDT 2022
% Result : Theorem 0.41s 23.60s
% Output : CNFRefutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 42 ( 20 unt; 0 def)
% Number of atoms : 92 ( 5 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 89 ( 39 ~; 36 |; 8 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-1 aty)
% Number of variables : 75 ( 0 sgn 40 !; 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_n2_n3_less_n6,conjecture,
! [X1] :
( sum(n2,n3,X1)
=> less(X1,n6) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',sum_n2_n3_less_n6) ).
fof(rdn5,axiom,
rdn_translate(n5,rdn_pos(rdnn(n5))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn5) ).
fof(unique_sum,axiom,
! [X1,X2,X15,X16] :
( ( sum(X1,X2,X15)
& sum(X1,X2,X16) )
=> X15 = X16 ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',unique_sum) ).
fof(rdn3,axiom,
rdn_translate(n3,rdn_pos(rdnn(n3))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn3) ).
fof(less_entry_point_pos_pos,axiom,
! [X1,X2,X10,X11] :
( ( rdn_translate(X1,rdn_pos(X10))
& rdn_translate(X2,rdn_pos(X11))
& rdn_positive_less(X10,X11) )
=> less(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',less_entry_point_pos_pos) ).
fof(rdn2,axiom,
rdn_translate(n2,rdn_pos(rdnn(n2))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn2) ).
fof(rdn6,axiom,
rdn_translate(n6,rdn_pos(rdnn(n6))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn6) ).
fof(rdn_positive_less56,axiom,
rdn_positive_less(rdnn(n5),rdnn(n6)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less56) ).
fof(c_0_12,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_13,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_14,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_12]) ).
cnf(c_0_15,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_16,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_13]) ).
cnf(c_0_17,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_14,c_0_15]) ).
cnf(c_0_18,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_16,c_0_17]) ).
cnf(c_0_19,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_20,negated_conjecture,
~ ! [X1] :
( sum(n2,n3,X1)
=> less(X1,n6) ),
inference(assume_negation,[status(cth)],[sum_n2_n3_less_n6]) ).
cnf(c_0_21,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_18,c_0_19]) ).
cnf(c_0_22,plain,
rdn_translate(n5,rdn_pos(rdnn(n5))),
inference(split_conjunct,[status(thm)],[rdn5]) ).
fof(c_0_23,plain,
! [X17,X18,X19,X20] :
( ~ sum(X17,X18,X19)
| ~ sum(X17,X18,X20)
| X19 = X20 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[unique_sum])]) ).
fof(c_0_24,negated_conjecture,
( sum(n2,n3,esk1_0)
& ~ less(esk1_0,n6) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])]) ).
cnf(c_0_25,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_21,c_0_22]) ).
cnf(c_0_26,plain,
rdn_translate(n3,rdn_pos(rdnn(n3))),
inference(split_conjunct,[status(thm)],[rdn3]) ).
fof(c_0_27,plain,
! [X12,X13,X14,X15] :
( ~ rdn_translate(X12,rdn_pos(X14))
| ~ rdn_translate(X13,rdn_pos(X15))
| ~ rdn_positive_less(X14,X15)
| less(X12,X13) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less_entry_point_pos_pos])])])]) ).
cnf(c_0_28,plain,
( X1 = X2
| ~ sum(X3,X4,X2)
| ~ sum(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_29,negated_conjecture,
sum(n2,n3,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_30,plain,
( sum(X1,n3,n5)
| ~ rdn_translate(X1,rdn_pos(rdnn(n2))) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_31,plain,
rdn_translate(n2,rdn_pos(rdnn(n2))),
inference(split_conjunct,[status(thm)],[rdn2]) ).
cnf(c_0_32,plain,
( less(X1,X2)
| ~ rdn_positive_less(X3,X4)
| ~ rdn_translate(X2,rdn_pos(X4))
| ~ rdn_translate(X1,rdn_pos(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_33,plain,
rdn_translate(n6,rdn_pos(rdnn(n6))),
inference(split_conjunct,[status(thm)],[rdn6]) ).
cnf(c_0_34,negated_conjecture,
( X1 = esk1_0
| ~ sum(n2,n3,X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_35,plain,
sum(n2,n3,n5),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_36,plain,
( less(X1,n6)
| ~ rdn_positive_less(X2,rdnn(n6))
| ~ rdn_translate(X1,rdn_pos(X2)) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_37,plain,
rdn_positive_less(rdnn(n5),rdnn(n6)),
inference(split_conjunct,[status(thm)],[rdn_positive_less56]) ).
cnf(c_0_38,negated_conjecture,
~ less(esk1_0,n6),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_39,negated_conjecture,
esk1_0 = n5,
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_40,plain,
less(n5,n6),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_22]),c_0_37])]) ).
cnf(c_0_41,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_39]),c_0_40])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM345+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n005.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 12:39:07 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
% 0.41/23.47 eprover: CPU time limit exceeded, terminating
% 0.41/23.60 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.41/23.60
% 0.41/23.60 # Failure: Resource limit exceeded (time)
% 0.41/23.60 # OLD status Res
% 0.41/23.60 # Preprocessing time : 0.026 s
% 0.41/23.60 # Running protocol protocol_eprover_f6eb5f7f05126ea361481ae651a4823314e3d740 for 23 seconds:
% 0.41/23.60 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 0.41/23.60 # Preprocessing time : 0.027 s
% 0.41/23.60
% 0.41/23.60 # Proof found!
% 0.41/23.60 # SZS status Theorem
% 0.41/23.60 # SZS output start CNFRefutation
% See solution above
% 0.41/23.60 # Proof object total steps : 42
% 0.41/23.60 # Proof object clause steps : 24
% 0.41/23.60 # Proof object formula steps : 18
% 0.41/23.60 # Proof object conjectures : 8
% 0.41/23.60 # Proof object clause conjectures : 5
% 0.41/23.60 # Proof object formula conjectures : 3
% 0.41/23.60 # Proof object initial clauses used : 13
% 0.41/23.60 # Proof object initial formulas used : 12
% 0.41/23.60 # Proof object generating inferences : 10
% 0.41/23.60 # Proof object simplifying inferences : 5
% 0.41/23.60 # Training examples: 0 positive, 0 negative
% 0.41/23.60 # Parsed axioms : 402
% 0.41/23.60 # Removed by relevancy pruning/SinE : 262
% 0.41/23.60 # Initial clauses : 143
% 0.41/23.60 # Removed in clause preprocessing : 0
% 0.41/23.60 # Initial clauses in saturation : 143
% 0.41/23.60 # Processed clauses : 1011
% 0.41/23.60 # ...of these trivial : 0
% 0.41/23.60 # ...subsumed : 164
% 0.41/23.60 # ...remaining for further processing : 847
% 0.41/23.60 # Other redundant clauses eliminated : 1
% 0.41/23.60 # Clauses deleted for lack of memory : 0
% 0.41/23.60 # Backward-subsumed : 0
% 0.41/23.60 # Backward-rewritten : 9
% 0.41/23.60 # Generated clauses : 1148
% 0.41/23.60 # ...of the previous two non-trivial : 1133
% 0.41/23.60 # Contextual simplify-reflections : 35
% 0.41/23.60 # Paramodulations : 1145
% 0.41/23.60 # Factorizations : 2
% 0.41/23.60 # Equation resolutions : 1
% 0.41/23.60 # Current number of processed clauses : 837
% 0.41/23.60 # Positive orientable unit clauses : 180
% 0.41/23.60 # Positive unorientable unit clauses: 0
% 0.41/23.60 # Negative unit clauses : 29
% 0.41/23.60 # Non-unit-clauses : 628
% 0.41/23.60 # Current number of unprocessed clauses: 262
% 0.41/23.60 # ...number of literals in the above : 1084
% 0.41/23.60 # Current number of archived formulas : 0
% 0.41/23.60 # Current number of archived clauses : 9
% 0.41/23.60 # Clause-clause subsumption calls (NU) : 75139
% 0.41/23.60 # Rec. Clause-clause subsumption calls : 55701
% 0.41/23.60 # Non-unit clause-clause subsumptions : 188
% 0.41/23.60 # Unit Clause-clause subsumption calls : 5944
% 0.41/23.60 # Rewrite failures with RHS unbound : 0
% 0.41/23.60 # BW rewrite match attempts : 6
% 0.41/23.60 # BW rewrite match successes : 4
% 0.41/23.60 # Condensation attempts : 0
% 0.41/23.60 # Condensation successes : 0
% 0.41/23.60 # Termbank termtop insertions : 33919
% 0.41/23.60
% 0.41/23.60 # -------------------------------------------------
% 0.41/23.60 # User time : 0.098 s
% 0.41/23.60 # System time : 0.010 s
% 0.41/23.60 # Total time : 0.108 s
% 0.41/23.60 # Maximum resident set size: 5864 pages
% 0.41/27.14 eprover: CPU time limit exceeded, terminating
% 0.41/27.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.41/27.16 eprover: No such file or directory
% 0.41/27.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.41/27.16 eprover: No such file or directory
% 0.41/27.17 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.41/27.17 eprover: No such file or directory
% 0.41/27.18 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.41/27.18 eprover: No such file or directory
% 0.41/27.18 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.41/27.18 eprover: No such file or directory
% 0.41/27.19 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.41/27.19 eprover: No such file or directory
% 0.41/27.19 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.41/27.19 eprover: No such file or directory
% 0.41/27.20 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.41/27.20 eprover: No such file or directory
% 0.41/46.49 eprover: CPU time limit exceeded, terminating
% 0.41/46.49 eprover: CPU time limit exceeded, terminating
% 0.41/46.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.41/46.50 eprover: No such file or directory
% 0.41/46.50 eprover: Cannot stat file /export/starexec/sandbox/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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.41/46.51 eprover: No such file or directory
% 0.41/46.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.41/46.51 eprover: No such file or directory
% 0.41/46.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.41/46.51 eprover: No such file or directory
% 0.41/46.51 eprover: Cannot stat file /export/starexec/sandbox/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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.41/46.52 eprover: No such file or directory
% 0.41/46.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.41/46.52 eprover: No such file or directory
% 0.41/46.52 eprover: Cannot stat file /export/starexec/sandbox/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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.41/46.53 eprover: No such file or directory
% 0.41/46.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.41/46.53 eprover: No such file or directory
% 0.41/46.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.41/46.53 eprover: No such file or directory
% 0.41/46.53 eprover: Cannot stat file /export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.41/46.54 eprover: No such file or directory
% 0.41/46.55 eprover: Cannot stat file /export/starexec/sandbox/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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.41/46.55 eprover: No such file or directory
%------------------------------------------------------------------------------