%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM925+2 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n024.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 09:37:47 EDT 2022
% Result : Theorem 0.30s 1.48s
% Output : CNFRefutation 0.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of formulae : 47 ( 44 unt; 0 def)
% Number of atoms : 50 ( 37 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 : 9 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 7 con; 0-2 aty)
% Number of variables : 21 ( 1 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_103_Bit0__def,axiom,
! [X21] : bit0(X21) = hAPP_int_int(plus_plus_int(X21),X21),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_103_Bit0__def) ).
fof(fact_176_number__of__is__id,axiom,
! [X21] : number_number_of_int(X21) = X21,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_176_number__of__is__id) ).
fof(conj_0,conjecture,
hAPP_nat_int(power_power_int(hAPP_int_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_568_succ__Bit0,axiom,
! [X21] : succ(bit0(X21)) = bit1(X21),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_568_succ__Bit0) ).
fof(fact_573_succ__def,axiom,
! [X21] : succ(X21) = hAPP_int_int(plus_plus_int(X21),one_one_int),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_573_succ__def) ).
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_35_zero__is__num__zero,axiom,
zero_zero_int = number_number_of_int(pls),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_35_zero__is__num__zero) ).
fof(fact_25_semiring__norm_I110_J,axiom,
one_one_int = number_number_of_int(bit1(pls)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_25_semiring__norm_I110_J) ).
fof(fact_19_semiring__one__add__one__is__two,axiom,
hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat) = number_number_of_nat(bit0(bit1(pls))),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_19_semiring__one__add__one__is__two) ).
fof(fact_105_zadd__0,axiom,
! [X17] : hAPP_int_int(plus_plus_int(zero_zero_int),X17) = X17,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_105_zadd__0) ).
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_267_zero__less__power,axiom,
! [X78,X79] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X79))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(power_power_int(X79),X78))) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_267_zero__less__power) ).
fof(fact_0_n1pos,axiom,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_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_13,plain,
! [X22] : bit0(X22) = hAPP_int_int(plus_plus_int(X22),X22),
inference(variable_rename,[status(thm)],[fact_103_Bit0__def]) ).
fof(c_0_14,plain,
! [X22] : number_number_of_int(X22) = X22,
inference(variable_rename,[status(thm)],[fact_176_number__of__is__id]) ).
fof(c_0_15,negated_conjecture,
~ ( hAPP_nat_int(power_power_int(hAPP_int_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]) ).
fof(c_0_16,plain,
! [X22] : succ(bit0(X22)) = bit1(X22),
inference(variable_rename,[status(thm)],[fact_568_succ__Bit0]) ).
fof(c_0_17,plain,
! [X22] : succ(X22) = hAPP_int_int(plus_plus_int(X22),one_one_int),
inference(variable_rename,[status(thm)],[fact_573_succ__def]) ).
cnf(c_0_18,plain,
bit0(pls) = pls,
inference(split_conjunct,[status(thm)],[fact_97_Bit0__Pls]) ).
cnf(c_0_19,plain,
bit0(X1) = hAPP_int_int(plus_plus_int(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,plain,
zero_zero_int = number_number_of_int(pls),
inference(split_conjunct,[status(thm)],[fact_35_zero__is__num__zero]) ).
cnf(c_0_21,plain,
number_number_of_int(X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_22,negated_conjecture,
hAPP_nat_int(power_power_int(hAPP_int_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]) ).
cnf(c_0_23,plain,
one_one_int = number_number_of_int(bit1(pls)),
inference(split_conjunct,[status(thm)],[fact_25_semiring__norm_I110_J]) ).
cnf(c_0_24,plain,
succ(bit0(X1)) = bit1(X1),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_25,plain,
succ(X1) = hAPP_int_int(plus_plus_int(X1),one_one_int),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_26,plain,
hAPP_int_int(plus_plus_int(pls),pls) = pls,
inference(rw,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_27,plain,
pls = zero_zero_int,
inference(rw,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_28,negated_conjecture,
hAPP_nat_int(power_power_int(hAPP_int_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_22]) ).
cnf(c_0_29,plain,
one_one_int = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(pls),pls)),one_one_int),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_21]),c_0_24]),c_0_19]),c_0_25]) ).
cnf(c_0_30,plain,
hAPP_int_int(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_26,c_0_27]),c_0_27]),c_0_27]) ).
cnf(c_0_31,plain,
hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat) = number_number_of_nat(bit0(bit1(pls))),
inference(split_conjunct,[status(thm)],[fact_19_semiring__one__add__one__is__two]) ).
fof(c_0_32,plain,
! [X18] : hAPP_int_int(plus_plus_int(zero_zero_int),X18) = X18,
inference(variable_rename,[status(thm)],[fact_105_zadd__0]) ).
cnf(c_0_33,negated_conjecture,
hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(pls),pls)),one_one_int)),hAPP_int_int(plus_plus_int(hAPP_int_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)],[inference(rw,[status(thm)],[c_0_28,c_0_24]),c_0_19]),c_0_19]),c_0_25]),c_0_25]) ).
cnf(c_0_34,plain,
hAPP_int_int(plus_plus_int(zero_zero_int),one_one_int) = one_one_int,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_27]),c_0_27]),c_0_30]) ).
cnf(c_0_35,plain,
hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat) = number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(pls),pls)),one_one_int)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(pls),pls)),one_one_int))),
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_24]),c_0_19]),c_0_19]),c_0_25]),c_0_25]) ).
cnf(c_0_36,plain,
hAPP_int_int(plus_plus_int(zero_zero_int),X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_37,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_38,plain,
! [X80,X81] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X81))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(power_power_int(X81),X80))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_267_zero__less__power])]) ).
cnf(c_0_39,negated_conjecture,
hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),number_number_of_nat(hAPP_int_int(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)],[inference(rw,[status(thm)],[c_0_33,c_0_27]),c_0_27]),c_0_30]),c_0_34]),c_0_27]),c_0_27]),c_0_30]),c_0_34]) ).
cnf(c_0_40,plain,
number_number_of_nat(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)) = hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat),
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)],[inference(rw,[status(thm)],[c_0_35,c_0_27]),c_0_27]),c_0_36]),c_0_36]),c_0_27]),c_0_27]),c_0_36]),c_0_36]) ).
cnf(c_0_41,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),zero_zero_int)),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_42,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_38]) ).
cnf(c_0_43,negated_conjecture,
hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat)) = zero_zero_int,
inference(rw,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_44,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n)))),
inference(split_conjunct,[status(thm)],[fact_0_n1pos]) ).
cnf(c_0_45,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),zero_zero_int)),
inference(rw,[status(thm)],[c_0_41,c_0_27]) ).
cnf(c_0_46,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44])]),c_0_45]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM925+2 : TPTP v8.1.0. Released v5.3.0.
% 0.03/0.13 % Command : run_ET %s %d
% 0.14/0.34 % Computer : n024.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Wed Jul 6 19:20:14 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.30/1.48 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.30/1.48 # Preprocessing time : 0.075 s
% 0.30/1.48
% 0.30/1.48 # Proof found!
% 0.30/1.48 # SZS status Theorem
% 0.30/1.48 # SZS output start CNFRefutation
% See solution above
% 0.30/1.48 # Proof object total steps : 47
% 0.30/1.48 # Proof object clause steps : 25
% 0.30/1.48 # Proof object formula steps : 22
% 0.30/1.48 # Proof object conjectures : 8
% 0.30/1.48 # Proof object clause conjectures : 5
% 0.30/1.48 # Proof object formula conjectures : 3
% 0.30/1.48 # Proof object initial clauses used : 13
% 0.30/1.48 # Proof object initial formulas used : 13
% 0.30/1.48 # Proof object generating inferences : 1
% 0.30/1.48 # Proof object simplifying inferences : 43
% 0.30/1.48 # Training examples: 0 positive, 0 negative
% 0.30/1.48 # Parsed axioms : 708
% 0.30/1.48 # Removed by relevancy pruning/SinE : 0
% 0.30/1.48 # Initial clauses : 996
% 0.30/1.48 # Removed in clause preprocessing : 104
% 0.30/1.48 # Initial clauses in saturation : 892
% 0.30/1.48 # Processed clauses : 1210
% 0.30/1.48 # ...of these trivial : 122
% 0.30/1.48 # ...subsumed : 474
% 0.30/1.48 # ...remaining for further processing : 614
% 0.30/1.48 # Other redundant clauses eliminated : 34
% 0.30/1.48 # Clauses deleted for lack of memory : 0
% 0.30/1.48 # Backward-subsumed : 12
% 0.30/1.48 # Backward-rewritten : 60
% 0.30/1.48 # Generated clauses : 9888
% 0.30/1.48 # ...of the previous two non-trivial : 8467
% 0.30/1.48 # Contextual simplify-reflections : 11
% 0.30/1.48 # Paramodulations : 9820
% 0.30/1.48 # Factorizations : 14
% 0.30/1.48 # Equation resolutions : 54
% 0.30/1.48 # Current number of processed clauses : 529
% 0.30/1.48 # Positive orientable unit clauses : 85
% 0.30/1.48 # Positive unorientable unit clauses: 11
% 0.30/1.48 # Negative unit clauses : 28
% 0.30/1.48 # Non-unit-clauses : 405
% 0.30/1.48 # Current number of unprocessed clauses: 6899
% 0.30/1.48 # ...number of literals in the above : 17648
% 0.30/1.48 # Current number of archived formulas : 0
% 0.30/1.48 # Current number of archived clauses : 76
% 0.30/1.48 # Clause-clause subsumption calls (NU) : 28027
% 0.30/1.48 # Rec. Clause-clause subsumption calls : 24371
% 0.30/1.48 # Non-unit clause-clause subsumptions : 290
% 0.30/1.48 # Unit Clause-clause subsumption calls : 638
% 0.30/1.48 # Rewrite failures with RHS unbound : 0
% 0.30/1.48 # BW rewrite match attempts : 271
% 0.30/1.48 # BW rewrite match successes : 130
% 0.30/1.48 # Condensation attempts : 0
% 0.30/1.48 # Condensation successes : 0
% 0.30/1.48 # Termbank termtop insertions : 267265
% 0.30/1.48
% 0.30/1.48 # -------------------------------------------------
% 0.30/1.48 # User time : 0.193 s
% 0.30/1.48 # System time : 0.010 s
% 0.30/1.48 # Total time : 0.203 s
% 0.30/1.48 # Maximum resident set size: 14260 pages
% 0.30/23.47 eprover: CPU time limit exceeded, terminating
% 0.30/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.49 eprover: No such file or directory
% 0.30/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.50 eprover: No such file or directory
% 0.30/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.50 eprover: No such file or directory
% 0.30/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.51 eprover: No such file or directory
% 0.30/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.51 eprover: No such file or directory
% 0.30/23.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.52 eprover: No such file or directory
% 0.30/23.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.52 eprover: No such file or directory
% 0.30/23.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.53 eprover: No such file or directory
% 0.30/23.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.54 eprover: No such file or directory
% 0.30/23.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.54 eprover: No such file or directory
% 0.30/23.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.55 eprover: No such file or directory
%------------------------------------------------------------------------------