%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM924+4 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n026.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 09:37:43 EDT 2022
% Result : Theorem 1.01s 2.19s
% Output : CNFRefutation 1.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 22 unt; 0 def)
% Number of atoms : 22 ( 14 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 13 ( 3 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 17 con; 0-2 aty)
% Number of variables : 6 ( 1 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_0,conjecture,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)),zero_zero_int)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',conj_0) ).
fof(fact_3196_semiring__norm_I115_J,axiom,
hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat)) = hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_3196_semiring__norm_I115_J) ).
fof(fact_256_Pls__def,axiom,
pls = zero_zero_int,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_256_Pls__def) ).
fof(fact_3294_succ__def,axiom,
! [X14] : hAPP_int_int(succ,X14) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X14),one_one_int),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_3294_succ__def) ).
fof(fact_3_t,axiom,
hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_3_t) ).
fof(fact_590_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
! [X160] : hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X160),zero_zero_int) = zero_zero_int,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_590_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J) ).
fof(fact_2__096_I4_A_K_Am_A_L_A1_J_A_K_At_A_060_A_I4_A_K_Am_A_L_A1_J_A_K_A0_096,axiom,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int))),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_2__096_I4_A_K_Am_A_L_A1_J_A_K_At_A_060_A_I4_A_K_Am_A_L_A1_J_A_K_A0_096) ).
fof(c_0_7,negated_conjecture,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)),zero_zero_int)),
inference(assume_negation,[status(cth)],[conj_0]) ).
cnf(c_0_8,plain,
hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat)) = hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))),
inference(split_conjunct,[status(thm)],[fact_3196_semiring__norm_I115_J]) ).
cnf(c_0_9,plain,
pls = zero_zero_int,
inference(split_conjunct,[status(thm)],[fact_256_Pls__def]) ).
fof(c_0_10,plain,
! [X15] : hAPP_int_int(succ,X15) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X15),one_one_int),
inference(variable_rename,[status(thm)],[fact_3294_succ__def]) ).
fof(c_0_11,negated_conjecture,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)),zero_zero_int)),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t),
inference(split_conjunct,[status(thm)],[fact_3_t]) ).
cnf(c_0_13,plain,
hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,zero_zero_int))) = hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat)),
inference(rw,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_14,plain,
hAPP_int_int(succ,X1) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X1),one_one_int),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_15,plain,
! [X161] : hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X161),zero_zero_int) = zero_zero_int,
inference(variable_rename,[status(thm)],[fact_590_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J]) ).
cnf(c_0_16,negated_conjecture,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)),zero_zero_int)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,plain,
hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat)))) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(succ,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,zero_zero_int))))),m))),t),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_9]),c_0_13]),c_0_14]),c_0_9]),c_0_14]) ).
cnf(c_0_18,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int))),
inference(split_conjunct,[status(thm)],[fact_2__096_I4_A_K_Am_A_L_A1_J_A_K_At_A_060_A_I4_A_K_Am_A_L_A1_J_A_K_A0_096]) ).
cnf(c_0_19,plain,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X1),zero_zero_int) = zero_zero_int,
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,negated_conjecture,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(succ,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,zero_zero_int))))),m))),t)),zero_zero_int)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_9]),c_0_13]),c_0_14]),c_0_17]) ).
cnf(c_0_21,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_9]),c_0_14]),c_0_9]),c_0_14]),c_0_19]),c_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : NUM924+4 : TPTP v8.1.0. Released v5.3.0.
% 0.07/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n026.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 14:53:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.01/2.19 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 1.01/2.19 # Preprocessing time : 0.680 s
% 1.01/2.19
% 1.01/2.19 # Proof found!
% 1.01/2.19 # SZS status Theorem
% 1.01/2.19 # SZS output start CNFRefutation
% See solution above
% 1.01/2.19 # Proof object total steps : 22
% 1.01/2.19 # Proof object clause steps : 11
% 1.01/2.19 # Proof object formula steps : 11
% 1.01/2.19 # Proof object conjectures : 5
% 1.01/2.19 # Proof object clause conjectures : 2
% 1.01/2.19 # Proof object formula conjectures : 3
% 1.01/2.19 # Proof object initial clauses used : 7
% 1.01/2.19 # Proof object initial formulas used : 7
% 1.01/2.19 # Proof object generating inferences : 0
% 1.01/2.19 # Proof object simplifying inferences : 16
% 1.01/2.19 # Training examples: 0 positive, 0 negative
% 1.01/2.19 # Parsed axioms : 5480
% 1.01/2.19 # Removed by relevancy pruning/SinE : 0
% 1.01/2.19 # Initial clauses : 8123
% 1.01/2.19 # Removed in clause preprocessing : 281
% 1.01/2.19 # Initial clauses in saturation : 7842
% 1.01/2.19 # Processed clauses : 649
% 1.01/2.19 # ...of these trivial : 67
% 1.01/2.19 # ...subsumed : 73
% 1.01/2.19 # ...remaining for further processing : 508
% 1.01/2.19 # Other redundant clauses eliminated : 0
% 1.01/2.19 # Clauses deleted for lack of memory : 0
% 1.01/2.19 # Backward-subsumed : 2
% 1.01/2.19 # Backward-rewritten : 24
% 1.01/2.19 # Generated clauses : 828
% 1.01/2.19 # ...of the previous two non-trivial : 755
% 1.01/2.19 # Contextual simplify-reflections : 0
% 1.01/2.19 # Paramodulations : 825
% 1.01/2.19 # Factorizations : 0
% 1.01/2.19 # Equation resolutions : 3
% 1.01/2.19 # Current number of processed clauses : 482
% 1.01/2.19 # Positive orientable unit clauses : 324
% 1.01/2.19 # Positive unorientable unit clauses: 1
% 1.01/2.19 # Negative unit clauses : 57
% 1.01/2.19 # Non-unit-clauses : 100
% 1.01/2.19 # Current number of unprocessed clauses: 7930
% 1.01/2.19 # ...number of literals in the above : 19933
% 1.01/2.19 # Current number of archived formulas : 0
% 1.01/2.19 # Current number of archived clauses : 45
% 1.01/2.19 # Clause-clause subsumption calls (NU) : 2831
% 1.01/2.19 # Rec. Clause-clause subsumption calls : 1514
% 1.01/2.19 # Non-unit clause-clause subsumptions : 49
% 1.01/2.19 # Unit Clause-clause subsumption calls : 793
% 1.01/2.19 # Rewrite failures with RHS unbound : 0
% 1.01/2.19 # BW rewrite match attempts : 311
% 1.01/2.19 # BW rewrite match successes : 24
% 1.01/2.19 # Condensation attempts : 0
% 1.01/2.19 # Condensation successes : 0
% 1.01/2.19 # Termbank termtop insertions : 794356
% 1.01/2.19
% 1.01/2.19 # -------------------------------------------------
% 1.01/2.19 # User time : 0.677 s
% 1.01/2.19 # System time : 0.027 s
% 1.01/2.19 # Total time : 0.704 s
% 1.01/2.19 # Maximum resident set size: 44040 pages
% 1.01/24.18 eprover: CPU time limit exceeded, terminating
% 1.01/24.19 eprover: CPU time limit exceeded, terminating
% 1.01/24.20 eprover: CPU time limit exceeded, terminating
% 1.01/24.20 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.01/24.20 eprover: No such file or directory
% 1.01/24.21 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.01/24.21 eprover: No such file or directory
% 1.01/24.21 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.01/24.21 eprover: No such file or directory
% 1.01/24.21 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.01/24.21 eprover: No such file or directory
% 1.01/24.21 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.01/24.21 eprover: No such file or directory
% 1.01/24.22 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.01/24.22 eprover: No such file or directory
% 1.01/24.22 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.01/24.22 eprover: No such file or directory
% 1.01/24.22 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.01/24.22 eprover: No such file or directory
% 1.01/24.22 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.01/24.22 eprover: No such file or directory
% 1.01/24.22 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.01/24.22 eprover: No such file or directory
% 1.01/24.22 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.01/24.22 eprover: No such file or directory
% 1.01/24.23 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.01/24.23 eprover: No such file or directory
% 1.01/24.23 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.01/24.23 eprover: No such file or directory
% 1.01/24.23 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.01/24.23 eprover: No such file or directory
% 1.01/24.23 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.01/24.23 eprover: No such file or directory
% 1.01/24.24 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.01/24.24 eprover: No such file or directory
% 1.01/24.24 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.01/24.24 eprover: No such file or directory
% 1.01/24.24 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.01/24.24 eprover: No such file or directory
% 1.01/24.24 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.01/24.24 eprover: No such file or directory
% 1.01/24.24 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.01/24.24 eprover: No such file or directory
% 1.01/24.24 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.01/24.24 eprover: No such file or directory
% 1.01/24.25 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.01/24.25 eprover: No such file or directory
% 1.01/24.25 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.01/24.25 eprover: No such file or directory
% 1.01/24.25 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.01/24.25 eprover: No such file or directory
% 1.01/24.25 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.01/24.25 eprover: No such file or directory
% 1.01/24.25 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.01/24.25 eprover: No such file or directory
% 1.01/24.25 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.01/24.25 eprover: No such file or directory
% 1.01/24.26 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.01/24.26 eprover: No such file or directory
% 1.01/24.26 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.01/24.26 eprover: No such file or directory
% 1.01/24.26 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.01/24.26 eprover: No such file or directory
% 1.01/24.26 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.01/24.26 eprover: No such file or directory
% 1.01/24.26 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.01/24.26 eprover: No such file or directory
% 1.01/24.27 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.01/24.27 eprover: No such file or directory
%------------------------------------------------------------------------------