TSTP Solution File: NUM924+3 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : NUM924+3 : TPTP v8.2.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n032.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 : 300s
% DateTime : Tue May 21 01:17:48 EDT 2024
% Result : Theorem 0.83s 0.58s
% Output : CNFRefutation 0.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 28 ( 28 unt; 0 def)
% Number of atoms : 28 ( 18 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 13 ( 3 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 7 con; 0-2 aty)
% Number of variables : 19 ( 1 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_285_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J,axiom,
! [X96] : hAPP_int_int(times_times_int(X96),X96) = hAPP_nat_int(power_power_int(X96),number_number_of_nat(bit0(bit1(pls)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_285_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J) ).
fof(conj_0,conjecture,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),zero_zero_int)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(fact_172_Pls__def,axiom,
pls = zero_zero_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_172_Pls__def) ).
fof(fact_134_zadd__commute,axiom,
! [X14,X12] : hAPP_int_int(plus_plus_int(X14),X12) = hAPP_int_int(plus_plus_int(X12),X14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_134_zadd__commute) ).
fof(fact_35_zmult__commute,axiom,
! [X14,X12] : hAPP_int_int(times_times_int(X14),X12) = hAPP_int_int(times_times_int(X12),X14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_35_zmult__commute) ).
fof(fact_3_t,axiom,
hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int) = hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_t) ).
fof(fact_367_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
! [X159] : hAPP_int_int(times_times_int(X159),zero_zero_int) = zero_zero_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_367_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(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),zero_zero_int))),
file('/export/starexec/sandbox/benchmark/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_8,plain,
! [X827] : hAPP_int_int(times_times_int(X827),X827) = hAPP_nat_int(power_power_int(X827),number_number_of_nat(bit0(bit1(pls)))),
inference(variable_rename,[status(thm)],[fact_285_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J]) ).
fof(c_0_9,negated_conjecture,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),zero_zero_int)),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
cnf(c_0_10,plain,
hAPP_int_int(times_times_int(X1),X1) = hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit1(pls)))),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,plain,
pls = zero_zero_int,
inference(split_conjunct,[status(thm)],[fact_172_Pls__def]) ).
fof(c_0_12,plain,
! [X924,X925] : hAPP_int_int(plus_plus_int(X924),X925) = hAPP_int_int(plus_plus_int(X925),X924),
inference(variable_rename,[status(thm)],[fact_134_zadd__commute]) ).
fof(c_0_13,plain,
! [X1076,X1077] : hAPP_int_int(times_times_int(X1076),X1077) = hAPP_int_int(times_times_int(X1077),X1076),
inference(variable_rename,[status(thm)],[fact_35_zmult__commute]) ).
fof(c_0_14,negated_conjecture,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),zero_zero_int)),
inference(fof_nnf,[status(thm)],[c_0_9]) ).
cnf(c_0_15,plain,
hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int) = hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t),
inference(split_conjunct,[status(thm)],[fact_3_t]) ).
cnf(c_0_16,plain,
hAPP_int_int(times_times_int(X1),X1) = hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit1(zero_zero_int)))),
inference(rw,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_17,plain,
hAPP_int_int(plus_plus_int(X1),X2) = hAPP_int_int(plus_plus_int(X2),X1),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,plain,
hAPP_int_int(times_times_int(X1),X2) = hAPP_int_int(times_times_int(X2),X1),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_19,plain,
! [X598] : hAPP_int_int(times_times_int(X598),zero_zero_int) = zero_zero_int,
inference(variable_rename,[status(thm)],[fact_367_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J]) ).
cnf(c_0_20,negated_conjecture,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),zero_zero_int)),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_21,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(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_22,plain,
hAPP_int_int(times_times_int(t),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(m),number_number_of_int(bit0(bit0(bit1(zero_zero_int))))))) = hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(s),s)),
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_15,c_0_11]),c_0_16]),c_0_17]),c_0_11]),c_0_18]),c_0_17]),c_0_18]) ).
cnf(c_0_23,plain,
hAPP_int_int(times_times_int(X1),zero_zero_int) = zero_zero_int,
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_24,negated_conjecture,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(zero_zero_int))))),one_one_int)),zero_zero_int)),
inference(rw,[status(thm)],[c_0_20,c_0_11]) ).
cnf(c_0_25,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(s),s))),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)],[inference(rw,[status(thm)],[c_0_21,c_0_11]),c_0_18]),c_0_17]),c_0_18]),c_0_22]),c_0_11]),c_0_18]),c_0_17]),c_0_23]) ).
cnf(c_0_26,negated_conjecture,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(s),s))),zero_zero_int)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_17]),c_0_16]) ).
cnf(c_0_27,plain,
$false,
inference(sr,[status(thm)],[c_0_25,c_0_26]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM924+3 : TPTP v8.2.0. Released v5.3.0.
% 0.00/0.11 % Command : run_E %s %d THM
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Mon May 20 04:45:22 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.14/0.39 Running first-order theorem proving
% 0.14/0.39 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.83/0.58 # Version: 3.1.0
% 0.83/0.58 # Preprocessing class: FMLSSMSMSSSNFFN.
% 0.83/0.58 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.83/0.58 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 900s (3) cores
% 0.83/0.58 # Starting new_bool_3 with 600s (2) cores
% 0.83/0.58 # Starting new_bool_1 with 600s (2) cores
% 0.83/0.58 # Starting sh5l with 300s (1) cores
% 0.83/0.58 # new_bool_1 with pid 15214 completed with status 0
% 0.83/0.58 # Result found by new_bool_1
% 0.83/0.58 # Preprocessing class: FMLSSMSMSSSNFFN.
% 0.83/0.58 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.83/0.58 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 900s (3) cores
% 0.83/0.58 # Starting new_bool_3 with 600s (2) cores
% 0.83/0.58 # Starting new_bool_1 with 600s (2) cores
% 0.83/0.58 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.83/0.58 # Search class: FGHSM-SSLM31-DFFFFFNN
% 0.83/0.58 # Scheduled 6 strats onto 2 cores with 600 seconds (600 total)
% 0.83/0.58 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 325s (1) cores
% 0.83/0.58 # Starting new_bool_1 with 61s (1) cores
% 0.83/0.58 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 15216 completed with status 0
% 0.83/0.58 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.83/0.58 # Preprocessing class: FMLSSMSMSSSNFFN.
% 0.83/0.58 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.83/0.58 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 900s (3) cores
% 0.83/0.58 # Starting new_bool_3 with 600s (2) cores
% 0.83/0.58 # Starting new_bool_1 with 600s (2) cores
% 0.83/0.58 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.83/0.58 # Search class: FGHSM-SSLM31-DFFFFFNN
% 0.83/0.58 # Scheduled 6 strats onto 2 cores with 600 seconds (600 total)
% 0.83/0.58 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 325s (1) cores
% 0.83/0.58 # Preprocessing time : 0.013 s
% 0.83/0.58 # Presaturation interreduction done
% 0.83/0.58
% 0.83/0.58 # Proof found!
% 0.83/0.58 # SZS status Theorem
% 0.83/0.58 # SZS output start CNFRefutation
% See solution above
% 0.83/0.58 # Parsed axioms : 1230
% 0.83/0.58 # Removed by relevancy pruning/SinE : 300
% 0.83/0.58 # Initial clauses : 1405
% 0.83/0.58 # Removed in clause preprocessing : 83
% 0.83/0.58 # Initial clauses in saturation : 1322
% 0.83/0.58 # Processed clauses : 1446
% 0.83/0.58 # ...of these trivial : 95
% 0.83/0.58 # ...subsumed : 244
% 0.83/0.58 # ...remaining for further processing : 1106
% 0.83/0.58 # Other redundant clauses eliminated : 106
% 0.83/0.58 # Clauses deleted for lack of memory : 0
% 0.83/0.58 # Backward-subsumed : 10
% 0.83/0.58 # Backward-rewritten : 19
% 0.83/0.58 # Generated clauses : 104
% 0.83/0.58 # ...of the previous two non-redundant : 70
% 0.83/0.58 # ...aggressively subsumed : 0
% 0.83/0.58 # Contextual simplify-reflections : 4
% 0.83/0.58 # Paramodulations : 12
% 0.83/0.58 # Factorizations : 0
% 0.83/0.58 # NegExts : 0
% 0.83/0.58 # Equation resolutions : 106
% 0.83/0.58 # Disequality decompositions : 0
% 0.83/0.58 # Total rewrite steps : 883
% 0.83/0.58 # ...of those cached : 690
% 0.83/0.58 # Propositional unsat checks : 0
% 0.83/0.58 # Propositional check models : 0
% 0.83/0.58 # Propositional check unsatisfiable : 0
% 0.83/0.58 # Propositional clauses : 0
% 0.83/0.58 # Propositional clauses after purity: 0
% 0.83/0.58 # Propositional unsat core size : 0
% 0.83/0.58 # Propositional preprocessing time : 0.000
% 0.83/0.58 # Propositional encoding time : 0.000
% 0.83/0.58 # Propositional solver time : 0.000
% 0.83/0.58 # Success case prop preproc time : 0.000
% 0.83/0.58 # Success case prop encoding time : 0.000
% 0.83/0.58 # Success case prop solver time : 0.000
% 0.83/0.58 # Current number of processed clauses : 59
% 0.83/0.58 # Positive orientable unit clauses : 32
% 0.83/0.58 # Positive unorientable unit clauses: 0
% 0.83/0.58 # Negative unit clauses : 21
% 0.83/0.58 # Non-unit-clauses : 6
% 0.83/0.58 # Current number of unprocessed clauses: 872
% 0.83/0.58 # ...number of literals in the above : 2261
% 0.83/0.58 # Current number of archived formulas : 0
% 0.83/0.58 # Current number of archived clauses : 955
% 0.83/0.58 # Clause-clause subsumption calls (NU) : 75382
% 0.83/0.58 # Rec. Clause-clause subsumption calls : 34329
% 0.83/0.58 # Non-unit clause-clause subsumptions : 198
% 0.83/0.58 # Unit Clause-clause subsumption calls : 698
% 0.83/0.58 # Rewrite failures with RHS unbound : 0
% 0.83/0.58 # BW rewrite match attempts : 742
% 0.83/0.58 # BW rewrite match successes : 77
% 0.83/0.58 # Condensation attempts : 0
% 0.83/0.58 # Condensation successes : 0
% 0.83/0.58 # Termbank termtop insertions : 149265
% 0.83/0.58 # Search garbage collected termcells : 18319
% 0.83/0.58
% 0.83/0.58 # -------------------------------------------------
% 0.83/0.58 # User time : 0.135 s
% 0.83/0.58 # System time : 0.015 s
% 0.83/0.58 # Total time : 0.150 s
% 0.83/0.58 # Maximum resident set size: 7664 pages
% 0.83/0.58
% 0.83/0.58 # -------------------------------------------------
% 0.83/0.58 # User time : 0.264 s
% 0.83/0.58 # System time : 0.020 s
% 0.83/0.58 # Total time : 0.284 s
% 0.83/0.58 # Maximum resident set size: 3772 pages
% 0.83/0.58 % E---3.1 exiting
% 1.15/0.58 % E exiting
%------------------------------------------------------------------------------