TSTP Solution File: ITP276_1 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ITP276_1 : TPTP v8.1.2. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n016.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 : Sat May 4 08:08:07 EDT 2024
% Result : ContradictoryAxioms 22.97s 20.85s
% Output : CNFRefutation 22.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 27
% Syntax : Number of formulae : 36 ( 14 unt; 22 typ; 0 def)
% Number of atoms : 14 ( 7 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 9 ( 8 usr)
% Number of type conns : 11 ( 6 >; 5 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 4 ( 0 sgn 4 !; 0 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
fun_nat_bool: $tType ).
tff(decl_sort2,type,
nat: $tType ).
tff(decl_sort3,type,
fun_nat_nat: $tType ).
tff(decl_sort4,type,
fun_nat_fun_nat_bool: $tType ).
tff(decl_sort5,type,
num: $tType ).
tff(decl_sort6,type,
bool: $tType ).
tff(decl_sort7,type,
fun_num_nat: $tType ).
tff(decl_sort8,type,
fun_num_num: $tType ).
tff(decl_988,type,
one_one_nat: nat ).
tff(decl_1028,type,
zero_zero_nat: nat ).
tff(decl_1387,type,
suc: fun_nat_nat ).
tff(decl_1475,type,
bit0: fun_num_num ).
tff(decl_1477,type,
one: num ).
tff(decl_1485,type,
numeral_numeral_nat: fun_num_nat ).
tff(decl_1546,type,
ord_less_eq_nat: fun_nat_fun_nat_bool ).
tff(decl_2004,type,
aa_nat_bool: ( fun_nat_bool * nat ) > bool ).
tff(decl_2007,type,
aa_nat_nat: ( fun_nat_nat * nat ) > nat ).
tff(decl_2033,type,
aa_nat_fun_nat_bool: ( fun_nat_fun_nat_bool * nat ) > fun_nat_bool ).
tff(decl_2059,type,
aa_num_nat: ( fun_num_nat * num ) > nat ).
tff(decl_2060,type,
aa_num_num: ( fun_num_num * num ) > num ).
tff(decl_2410,type,
pp: bool > $o ).
tff(decl_2413,type,
deg: nat ).
tff(fact_103_Suc__n__not__le__n,axiom,
! [X176: nat] : ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,aa_nat_nat(suc,X176)),X176)),
file('/export/starexec/sandbox/tmp/tmp.3gjLieC2Xw/E---3.1_5213.p',fact_103_Suc__n__not__le__n) ).
tff(fact_75__C1_C_I2_J,axiom,
deg = aa_nat_nat(suc,zero_zero_nat),
file('/export/starexec/sandbox/tmp/tmp.3gjLieC2Xw/E---3.1_5213.p',fact_75__C1_C_I2_J) ).
tff(fact_1158_One__nat__def,axiom,
one_one_nat = aa_nat_nat(suc,zero_zero_nat),
file('/export/starexec/sandbox/tmp/tmp.3gjLieC2Xw/E---3.1_5213.p',fact_1158_One__nat__def) ).
tff(fact_2986_a0,axiom,
pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),deg)),
file('/export/starexec/sandbox/tmp/tmp.3gjLieC2Xw/E---3.1_5213.p',fact_2986_a0) ).
tff(fact_3212_Suc__1,axiom,
aa_nat_nat(suc,one_one_nat) = aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)),
file('/export/starexec/sandbox/tmp/tmp.3gjLieC2Xw/E---3.1_5213.p',fact_3212_Suc__1) ).
tff(c_0_5,plain,
! [X176: nat] : ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,aa_nat_nat(suc,X176)),X176)),
inference(fof_simplification,[status(thm)],[fact_103_Suc__n__not__le__n]) ).
tcf(c_0_6,plain,
deg = aa_nat_nat(suc,zero_zero_nat),
inference(split_conjunct,[status(thm)],[fact_75__C1_C_I2_J]) ).
tcf(c_0_7,plain,
one_one_nat = aa_nat_nat(suc,zero_zero_nat),
inference(split_conjunct,[status(thm)],[fact_1158_One__nat__def]) ).
tff(c_0_8,plain,
! [X19789: nat] : ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,aa_nat_nat(suc,X19789)),X19789)),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_5])]) ).
tcf(c_0_9,plain,
pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),deg)),
inference(split_conjunct,[status(thm)],[fact_2986_a0]) ).
tcf(c_0_10,plain,
aa_nat_nat(suc,one_one_nat) = aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)),
inference(split_conjunct,[status(thm)],[fact_3212_Suc__1]) ).
tcf(c_0_11,plain,
deg = one_one_nat,
inference(rw,[status(thm)],[c_0_6,c_0_7]) ).
tcf(c_0_12,plain,
! [X3: nat] : ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,aa_nat_nat(suc,X3)),X3)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10]),c_0_11]),c_0_12]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 9.20/9.31 % Problem : ITP276_1 : TPTP v8.1.2. Released v8.0.0.
% 9.20/9.32 % Command : run_E %s %d THM
% 9.22/9.50 % Computer : n016.cluster.edu
% 9.22/9.50 % Model : x86_64 x86_64
% 9.22/9.50 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 9.22/9.50 % Memory : 8042.1875MB
% 9.22/9.50 % OS : Linux 3.10.0-693.el7.x86_64
% 9.22/9.50 % CPULimit : 300
% 9.22/9.50 % WCLimit : 300
% 9.22/9.50 % DateTime : Fri May 3 13:27:10 EDT 2024
% 9.22/9.50 % CPUTime :
% 18.48/18.85 Running first-order theorem proving
% 18.48/18.85 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/tmp/tmp.3gjLieC2Xw/E---3.1_5213.p
% 22.97/20.85 # Version: 3.1.0
% 22.97/20.85 # Preprocessing class: FMLLSMLLSSSNFFN.
% 22.97/20.85 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 22.97/20.85 # Starting new_bool_3 with 900s (3) cores
% 22.97/20.85 # Starting new_bool_1 with 900s (3) cores
% 22.97/20.85 # Starting sh5l with 300s (1) cores
% 22.97/20.85 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 22.97/20.85 # new_bool_1 with pid 5292 completed with status 0
% 22.97/20.85 # Result found by new_bool_1
% 22.97/20.85 # Preprocessing class: FMLLSMLLSSSNFFN.
% 22.97/20.85 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 22.97/20.85 # Starting new_bool_3 with 900s (3) cores
% 22.97/20.85 # Starting new_bool_1 with 900s (3) cores
% 22.97/20.85 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 22.97/20.85 # Search class: FGHSM-SMLM32-DFFFFFNN
% 22.97/20.85 # Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 22.97/20.85 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 68s (1) cores
% 22.97/20.85 # Starting new_bool_1 with 91s (1) cores
% 22.97/20.85 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 68s (1) cores
% 22.97/20.85 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with pid 5298 completed with status 0
% 22.97/20.85 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y
% 22.97/20.85 # Preprocessing class: FMLLSMLLSSSNFFN.
% 22.97/20.85 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 22.97/20.85 # Starting new_bool_3 with 900s (3) cores
% 22.97/20.85 # Starting new_bool_1 with 900s (3) cores
% 22.97/20.85 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 22.97/20.85 # Search class: FGHSM-SMLM32-DFFFFFNN
% 22.97/20.85 # Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 22.97/20.85 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 68s (1) cores
% 22.97/20.85 # Preprocessing time : 0.109 s
% 22.97/20.85 # Presaturation interreduction done
% 22.97/20.85
% 22.97/20.85 # Proof found!
% 22.97/20.85 # SZS status ContradictoryAxioms
% 22.97/20.85 # SZS output start CNFRefutation
% See solution above
% 22.97/20.86 # Parsed axioms : 13312
% 22.97/20.86 # Removed by relevancy pruning/SinE : 10984
% 22.97/20.86 # Initial clauses : 7116
% 22.97/20.86 # Removed in clause preprocessing : 1889
% 22.97/20.86 # Initial clauses in saturation : 5227
% 22.97/20.86 # Processed clauses : 1129
% 22.97/20.86 # ...of these trivial : 69
% 22.97/20.86 # ...subsumed : 279
% 22.97/20.86 # ...remaining for further processing : 780
% 22.97/20.86 # Other redundant clauses eliminated : 292
% 22.97/20.86 # Clauses deleted for lack of memory : 0
% 22.97/20.86 # Backward-subsumed : 4
% 22.97/20.86 # Backward-rewritten : 9
% 22.97/20.86 # Generated clauses : 261
% 22.97/20.86 # ...of the previous two non-redundant : 126
% 22.97/20.86 # ...aggressively subsumed : 0
% 22.97/20.86 # Contextual simplify-reflections : 2
% 22.97/20.86 # Paramodulations : 0
% 22.97/20.86 # Factorizations : 0
% 22.97/20.86 # NegExts : 0
% 22.97/20.86 # Equation resolutions : 292
% 22.97/20.86 # Disequality decompositions : 0
% 22.97/20.86 # Total rewrite steps : 372
% 22.97/20.86 # ...of those cached : 274
% 22.97/20.86 # Propositional unsat checks : 0
% 22.97/20.86 # Propositional check models : 0
% 22.97/20.86 # Propositional check unsatisfiable : 0
% 22.97/20.86 # Propositional clauses : 0
% 22.97/20.86 # Propositional clauses after purity: 0
% 22.97/20.86 # Propositional unsat core size : 0
% 22.97/20.86 # Propositional preprocessing time : 0.000
% 22.97/20.86 # Propositional encoding time : 0.000
% 22.97/20.86 # Propositional solver time : 0.000
% 22.97/20.86 # Success case prop preproc time : 0.000
% 22.97/20.86 # Success case prop encoding time : 0.000
% 22.97/20.86 # Success case prop solver time : 0.000
% 22.97/20.86 # Current number of processed clauses : 506
% 22.97/20.86 # Positive orientable unit clauses : 150
% 22.97/20.86 # Positive unorientable unit clauses: 2
% 22.97/20.86 # Negative unit clauses : 51
% 22.97/20.86 # Non-unit-clauses : 303
% 22.97/20.86 # Current number of unprocessed clauses: 4224
% 22.97/20.86 # ...number of literals in the above : 19635
% 22.97/20.86 # Current number of archived formulas : 0
% 22.97/20.86 # Current number of archived clauses : 13
% 22.97/20.86 # Clause-clause subsumption calls (NU) : 24051
% 22.97/20.86 # Rec. Clause-clause subsumption calls : 22259
% 22.97/20.86 # Non-unit clause-clause subsumptions : 256
% 22.97/20.86 # Unit Clause-clause subsumption calls : 435
% 22.97/20.86 # Rewrite failures with RHS unbound : 0
% 22.97/20.86 # BW rewrite match attempts : 473
% 22.97/20.86 # BW rewrite match successes : 42
% 22.97/20.86 # Condensation attempts : 0
% 22.97/20.86 # Condensation successes : 0
% 22.97/20.86 # Termbank termtop insertions : 869148
% 22.97/20.86 # Search garbage collected termcells : 189537
% 22.97/20.86
% 22.97/20.86 # -------------------------------------------------
% 22.97/20.86 # User time : 0.911 s
% 22.97/20.86 # System time : 0.064 s
% 22.97/20.86 # Total time : 0.975 s
% 22.97/20.86 # Maximum resident set size: 45884 pages
% 22.97/20.86
% 22.97/20.86 # -------------------------------------------------
% 22.97/20.86 # User time : 2.128 s
% 22.97/20.86 # System time : 0.142 s
% 22.97/20.86 # Total time : 2.271 s
% 22.97/20.86 # Maximum resident set size: 30032 pages
% 22.97/20.86 % E---3.1 exiting
% 22.97/20.86 % E exiting
%------------------------------------------------------------------------------