TSTP Solution File: NUM925+3 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM925+3 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n018.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 09:37:48 EDT 2022
% Result : Theorem 0.37s 1.54s
% Output : CNFRefutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of formulae : 44 ( 41 unt; 0 def)
% Number of atoms : 47 ( 34 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 9 ~; 2 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 7 con; 0-2 aty)
% Number of variables : 23 ( 1 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_809_succ__Bit0,axiom,
! [X22] : succ(bit0(X22)) = bit1(X22),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_809_succ__Bit0) ).
fof(fact_103_Bit0__def,axiom,
! [X22] : bit0(X22) = plus_plus_int(X22,X22),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_103_Bit0__def) ).
fof(fact_814_succ__def,axiom,
! [X22] : succ(X22) = plus_plus_int(X22,one_one_int),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_814_succ__def) ).
fof(conj_0,conjecture,
hAPP_nat_int(power_power_int(plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))),number_number_of_nat(bit0(bit1(pls)))) != zero_zero_int,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_0) ).
fof(fact_97_Bit0__Pls,axiom,
bit0(pls) = pls,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_97_Bit0__Pls) ).
fof(fact_767_nat__number__of__def,axiom,
! [X14] : number_number_of_nat(X14) = nat(number_number_of_int(X14)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_767_nat__number__of__def) ).
fof(fact_16_one__add__one__is__two,axiom,
plus_plus_int(one_one_int,one_one_int) = number_number_of_int(bit0(bit1(pls))),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_16_one__add__one__is__two) ).
fof(fact_98_Pls__def,axiom,
pls = zero_zero_int,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_98_Pls__def) ).
fof(fact_1021_diff__bin__simps_I2_J,axiom,
! [X22] : minus_minus_int(X22,min) = succ(X22),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_1021_diff__bin__simps_I2_J) ).
fof(fact_79_bin__less__0__simps_I1_J,axiom,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),zero_zero_int)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_79_bin__less__0__simps_I1_J) ).
fof(fact_266_zero__less__power,axiom,
! [X79,X80] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X80))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(power_power_int(X80),X79))) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_266_zero__less__power) ).
fof(fact_0_n1pos,axiom,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n)))),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_0_n1pos) ).
fof(c_0_12,plain,
! [X23] : succ(bit0(X23)) = bit1(X23),
inference(variable_rename,[status(thm)],[fact_809_succ__Bit0]) ).
fof(c_0_13,plain,
! [X23] : bit0(X23) = plus_plus_int(X23,X23),
inference(variable_rename,[status(thm)],[fact_103_Bit0__def]) ).
fof(c_0_14,plain,
! [X23] : succ(X23) = plus_plus_int(X23,one_one_int),
inference(variable_rename,[status(thm)],[fact_814_succ__def]) ).
fof(c_0_15,negated_conjecture,
~ ( hAPP_nat_int(power_power_int(plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))),number_number_of_nat(bit0(bit1(pls)))) != zero_zero_int ),
inference(assume_negation,[status(cth)],[conj_0]) ).
cnf(c_0_16,plain,
succ(bit0(X1)) = bit1(X1),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,plain,
bit0(X1) = plus_plus_int(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,plain,
succ(X1) = plus_plus_int(X1,one_one_int),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,plain,
bit0(pls) = pls,
inference(split_conjunct,[status(thm)],[fact_97_Bit0__Pls]) ).
fof(c_0_20,negated_conjecture,
hAPP_nat_int(power_power_int(plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))),number_number_of_nat(bit0(bit1(pls)))) = zero_zero_int,
inference(fof_simplification,[status(thm)],[c_0_15]) ).
fof(c_0_21,plain,
! [X15] : number_number_of_nat(X15) = nat(number_number_of_int(X15)),
inference(variable_rename,[status(thm)],[fact_767_nat__number__of__def]) ).
cnf(c_0_22,plain,
plus_plus_int(one_one_int,one_one_int) = number_number_of_int(bit0(bit1(pls))),
inference(split_conjunct,[status(thm)],[fact_16_one__add__one__is__two]) ).
cnf(c_0_23,plain,
plus_plus_int(plus_plus_int(X1,X1),one_one_int) = bit1(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).
cnf(c_0_24,plain,
plus_plus_int(pls,pls) = pls,
inference(rw,[status(thm)],[c_0_19,c_0_17]) ).
cnf(c_0_25,plain,
pls = zero_zero_int,
inference(split_conjunct,[status(thm)],[fact_98_Pls__def]) ).
cnf(c_0_26,negated_conjecture,
hAPP_nat_int(power_power_int(plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))),number_number_of_nat(bit0(bit1(pls)))) = zero_zero_int,
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_27,plain,
number_number_of_nat(X1) = nat(number_number_of_int(X1)),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_28,plain,
plus_plus_int(one_one_int,one_one_int) = number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(pls,pls),one_one_int),plus_plus_int(plus_plus_int(pls,pls),one_one_int))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_17]),c_0_23]),c_0_23]) ).
cnf(c_0_29,plain,
plus_plus_int(zero_zero_int,zero_zero_int) = zero_zero_int,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25]),c_0_25]),c_0_25]) ).
fof(c_0_30,plain,
! [X23] : minus_minus_int(X23,min) = succ(X23),
inference(variable_rename,[status(thm)],[fact_1021_diff__bin__simps_I2_J]) ).
cnf(c_0_31,negated_conjecture,
hAPP_nat_int(power_power_int(plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))),nat(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(pls,pls),one_one_int),plus_plus_int(plus_plus_int(pls,pls),one_one_int))))) = zero_zero_int,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_17]),c_0_27]),c_0_23]),c_0_23]) ).
cnf(c_0_32,plain,
number_number_of_int(plus_plus_int(plus_plus_int(zero_zero_int,one_one_int),plus_plus_int(zero_zero_int,one_one_int))) = plus_plus_int(one_one_int,one_one_int),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_25]),c_0_25]),c_0_29]),c_0_25]),c_0_25]),c_0_29]) ).
cnf(c_0_33,plain,
minus_minus_int(X1,min) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_34,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),zero_zero_int)),
inference(fof_simplification,[status(thm)],[fact_79_bin__less__0__simps_I1_J]) ).
fof(c_0_35,plain,
! [X81,X82] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X82))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(power_power_int(X82),X81))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_266_zero__less__power])]) ).
cnf(c_0_36,negated_conjecture,
hAPP_nat_int(power_power_int(plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))),nat(plus_plus_int(one_one_int,one_one_int))) = zero_zero_int,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_25]),c_0_25]),c_0_29]),c_0_25]),c_0_25]),c_0_29]),c_0_32]) ).
cnf(c_0_37,plain,
plus_plus_int(X1,one_one_int) = minus_minus_int(X1,min),
inference(rw,[status(thm)],[c_0_33,c_0_18]) ).
cnf(c_0_38,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),zero_zero_int)),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_39,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(power_power_int(X1),X2)))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_40,negated_conjecture,
hAPP_nat_int(power_power_int(plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))),nat(minus_minus_int(one_one_int,min))) = zero_zero_int,
inference(rw,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_41,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n)))),
inference(split_conjunct,[status(thm)],[fact_0_n1pos]) ).
cnf(c_0_42,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),zero_zero_int)),
inference(rw,[status(thm)],[c_0_38,c_0_25]) ).
cnf(c_0_43,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41])]),c_0_42]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM925+3 : TPTP v8.1.0. Released v5.3.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jul 5 11:44:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.37/1.54 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.37/1.54 # Preprocessing time : 0.130 s
% 0.37/1.54
% 0.37/1.54 # Proof found!
% 0.37/1.54 # SZS status Theorem
% 0.37/1.54 # SZS output start CNFRefutation
% See solution above
% 0.37/1.54 # Proof object total steps : 44
% 0.37/1.54 # Proof object clause steps : 23
% 0.37/1.54 # Proof object formula steps : 21
% 0.37/1.54 # Proof object conjectures : 8
% 0.37/1.54 # Proof object clause conjectures : 5
% 0.37/1.54 # Proof object formula conjectures : 3
% 0.37/1.54 # Proof object initial clauses used : 12
% 0.37/1.54 # Proof object initial formulas used : 12
% 0.37/1.54 # Proof object generating inferences : 1
% 0.37/1.54 # Proof object simplifying inferences : 32
% 0.37/1.54 # Training examples: 0 positive, 0 negative
% 0.37/1.54 # Parsed axioms : 1233
% 0.37/1.54 # Removed by relevancy pruning/SinE : 0
% 0.37/1.54 # Initial clauses : 1809
% 0.37/1.54 # Removed in clause preprocessing : 121
% 0.37/1.54 # Initial clauses in saturation : 1688
% 0.37/1.54 # Processed clauses : 1808
% 0.37/1.54 # ...of these trivial : 176
% 0.37/1.54 # ...subsumed : 440
% 0.37/1.54 # ...remaining for further processing : 1192
% 0.37/1.54 # Other redundant clauses eliminated : 86
% 0.37/1.54 # Clauses deleted for lack of memory : 0
% 0.37/1.54 # Backward-subsumed : 7
% 0.37/1.54 # Backward-rewritten : 108
% 0.37/1.54 # Generated clauses : 27949
% 0.37/1.54 # ...of the previous two non-trivial : 25300
% 0.37/1.54 # Contextual simplify-reflections : 47
% 0.37/1.54 # Paramodulations : 27817
% 0.37/1.54 # Factorizations : 13
% 0.37/1.54 # Equation resolutions : 119
% 0.37/1.54 # Current number of processed clauses : 1043
% 0.37/1.54 # Positive orientable unit clauses : 203
% 0.37/1.54 # Positive unorientable unit clauses: 21
% 0.37/1.54 # Negative unit clauses : 33
% 0.37/1.54 # Non-unit-clauses : 786
% 0.37/1.54 # Current number of unprocessed clauses: 22174
% 0.37/1.54 # ...number of literals in the above : 67376
% 0.37/1.54 # Current number of archived formulas : 0
% 0.37/1.54 # Current number of archived clauses : 119
% 0.37/1.54 # Clause-clause subsumption calls (NU) : 140584
% 0.37/1.54 # Rec. Clause-clause subsumption calls : 68009
% 0.37/1.54 # Non-unit clause-clause subsumptions : 406
% 0.37/1.54 # Unit Clause-clause subsumption calls : 3394
% 0.37/1.54 # Rewrite failures with RHS unbound : 0
% 0.37/1.54 # BW rewrite match attempts : 491
% 0.37/1.54 # BW rewrite match successes : 205
% 0.37/1.54 # Condensation attempts : 0
% 0.37/1.54 # Condensation successes : 0
% 0.37/1.54 # Termbank termtop insertions : 708085
% 0.37/1.54
% 0.37/1.54 # -------------------------------------------------
% 0.37/1.54 # User time : 0.521 s
% 0.37/1.54 # System time : 0.032 s
% 0.37/1.54 # Total time : 0.553 s
% 0.37/1.54 # Maximum resident set size: 36312 pages
% 0.37/23.53 eprover: CPU time limit exceeded, terminating
% 0.37/23.53 eprover: CPU time limit exceeded, terminating
% 0.37/23.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.55 eprover: No such file or directory
% 0.37/23.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.55 eprover: No such file or directory
% 0.37/23.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.55 eprover: No such file or directory
% 0.37/23.56 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.56 eprover: No such file or directory
% 0.37/23.56 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.56 eprover: No such file or directory
% 0.37/23.57 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.57 eprover: No such file or directory
% 0.37/23.57 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.57 eprover: No such file or directory
% 0.37/23.57 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.57 eprover: No such file or directory
% 0.37/23.58 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.58 eprover: No such file or directory
% 0.37/23.58 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.58 eprover: No such file or directory
% 0.37/23.58 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.58 eprover: No such file or directory
% 0.37/23.70 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.37/23.70 eprover: No such file or directory
% 0.37/23.70 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.37/23.70 eprover: No such file or directory
% 0.37/23.71 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.37/23.71 eprover: No such file or directory
% 0.37/23.71 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.37/23.71 eprover: No such file or directory
% 0.37/23.72 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.37/23.72 eprover: No such file or directory
% 0.37/23.72 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.37/23.72 eprover: No such file or directory
% 0.37/23.73 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.37/23.73 eprover: No such file or directory
% 0.37/23.74 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.37/23.74 eprover: No such file or directory
% 0.37/23.74 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.37/23.74 eprover: No such file or directory
% 0.37/23.75 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.37/23.75 eprover: No such file or directory
% 0.37/23.75 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.37/23.75 eprover: No such file or directory
%------------------------------------------------------------------------------