TSTP Solution File: ITP063^1 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ITP063^1 : TPTP v8.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n011.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 : Mon May 20 22:16:08 EDT 2024
% Result : Theorem 0.36s 0.67s
% Output : CNFRefutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 18
% Syntax : Number of formulae : 32 ( 15 unt; 13 typ; 0 def)
% Number of atoms : 26 ( 4 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 191 ( 9 ~; 5 |; 1 &; 175 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 18 ( 6 ^ 12 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
nat: $tType ).
thf(decl_sort2,type,
real: $tType ).
thf(decl_23,type,
genClo1278781456e_beta: real ).
thf(decl_26,type,
genClo1015804716orrect: nat > real > $o ).
thf(decl_30,type,
genClo1163638703lle_te: nat > nat > real ).
thf(decl_31,type,
abs_abs_real: real > real ).
thf(decl_33,type,
minus_minus_real: real > real > real ).
thf(decl_34,type,
one_one_nat: nat ).
thf(decl_36,type,
plus_plus_nat: nat > nat > nat ).
thf(decl_43,type,
ord_less_eq_real: real > real > $o ).
thf(decl_44,type,
i: nat ).
thf(decl_46,type,
p: nat ).
thf(decl_47,type,
q: nat ).
thf(fact_119_add_Ocommute,axiom,
( plus_plus_nat
= ( ^ [X98: nat,X99: nat] : ( plus_plus_nat @ X99 @ X98 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_119_add_Ocommute) ).
thf(conj_0,conjecture,
ord_less_eq_real @ ( abs_abs_real @ ( minus_minus_real @ ( genClo1163638703lle_te @ p @ ( plus_plus_nat @ i @ one_one_nat ) ) @ ( genClo1163638703lle_te @ q @ ( plus_plus_nat @ i @ one_one_nat ) ) ) ) @ genClo1278781456e_beta,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(fact_0_rts2b,axiom,
! [X1: nat,X2: nat,X3: nat] :
( ( ( genClo1015804716orrect @ X1 @ ( genClo1163638703lle_te @ X1 @ X3 ) )
& ( genClo1015804716orrect @ X2 @ ( genClo1163638703lle_te @ X2 @ X3 ) ) )
=> ( ord_less_eq_real @ ( abs_abs_real @ ( minus_minus_real @ ( genClo1163638703lle_te @ X1 @ X3 ) @ ( genClo1163638703lle_te @ X2 @ X3 ) ) ) @ genClo1278781456e_beta ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_rts2b) ).
thf(fact_2_corr__q__tq,axiom,
genClo1015804716orrect @ q @ ( genClo1163638703lle_te @ q @ ( plus_plus_nat @ i @ one_one_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_corr__q__tq) ).
thf(fact_1_corr__p,axiom,
genClo1015804716orrect @ p @ ( genClo1163638703lle_te @ p @ ( plus_plus_nat @ i @ one_one_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_corr__p) ).
thf(c_0_5,plain,
( plus_plus_nat
= ( ^ [Z0: nat,Z1: nat] : ( plus_plus_nat @ Z1 @ Z0 ) ) ),
inference(fof_simplification,[status(thm)],[fact_119_add_Ocommute]) ).
thf(c_0_6,negated_conjecture,
~ ( ord_less_eq_real @ ( abs_abs_real @ ( minus_minus_real @ ( genClo1163638703lle_te @ p @ ( plus_plus_nat @ i @ one_one_nat ) ) @ ( genClo1163638703lle_te @ q @ ( plus_plus_nat @ i @ one_one_nat ) ) ) ) @ genClo1278781456e_beta ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
thf(c_0_7,plain,
! [X1161: nat,X1162: nat,X1163: nat] :
( ~ ( genClo1015804716orrect @ X1161 @ ( genClo1163638703lle_te @ X1161 @ X1163 ) )
| ~ ( genClo1015804716orrect @ X1162 @ ( genClo1163638703lle_te @ X1162 @ X1163 ) )
| ( ord_less_eq_real @ ( abs_abs_real @ ( minus_minus_real @ ( genClo1163638703lle_te @ X1161 @ X1163 ) @ ( genClo1163638703lle_te @ X1162 @ X1163 ) ) ) @ genClo1278781456e_beta ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_0_rts2b])])]) ).
thf(c_0_8,plain,
( plus_plus_nat
= ( ^ [Z0: nat,Z1: nat] : ( plus_plus_nat @ Z1 @ Z0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_9,negated_conjecture,
~ ( ord_less_eq_real @ ( abs_abs_real @ ( minus_minus_real @ ( genClo1163638703lle_te @ p @ ( plus_plus_nat @ i @ one_one_nat ) ) @ ( genClo1163638703lle_te @ q @ ( plus_plus_nat @ i @ one_one_nat ) ) ) ) @ genClo1278781456e_beta ),
inference(fof_nnf,[status(thm)],[c_0_6]) ).
thf(c_0_10,plain,
! [X1: nat,X3: nat,X2: nat] :
( ( ord_less_eq_real @ ( abs_abs_real @ ( minus_minus_real @ ( genClo1163638703lle_te @ X1 @ X2 ) @ ( genClo1163638703lle_te @ X3 @ X2 ) ) ) @ genClo1278781456e_beta )
| ~ ( genClo1015804716orrect @ X1 @ ( genClo1163638703lle_te @ X1 @ X2 ) )
| ~ ( genClo1015804716orrect @ X3 @ ( genClo1163638703lle_te @ X3 @ X2 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_11,plain,
genClo1015804716orrect @ q @ ( genClo1163638703lle_te @ q @ ( plus_plus_nat @ i @ one_one_nat ) ),
inference(split_conjunct,[status(thm)],[fact_2_corr__q__tq]) ).
thf(c_0_12,plain,
! [X2: nat,X1: nat] :
( ( plus_plus_nat @ X1 @ X2 )
= ( plus_plus_nat @ X2 @ X1 ) ),
inference(arg_cong,[status(thm)],[c_0_8]) ).
thf(c_0_13,plain,
genClo1015804716orrect @ p @ ( genClo1163638703lle_te @ p @ ( plus_plus_nat @ i @ one_one_nat ) ),
inference(split_conjunct,[status(thm)],[fact_1_corr__p]) ).
thf(c_0_14,negated_conjecture,
~ ( ord_less_eq_real @ ( abs_abs_real @ ( minus_minus_real @ ( genClo1163638703lle_te @ p @ ( plus_plus_nat @ i @ one_one_nat ) ) @ ( genClo1163638703lle_te @ q @ ( plus_plus_nat @ i @ one_one_nat ) ) ) ) @ genClo1278781456e_beta ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_15,plain,
! [X1: nat] :
( ( ord_less_eq_real @ ( abs_abs_real @ ( minus_minus_real @ ( genClo1163638703lle_te @ X1 @ ( plus_plus_nat @ one_one_nat @ i ) ) @ ( genClo1163638703lle_te @ q @ ( plus_plus_nat @ one_one_nat @ i ) ) ) ) @ genClo1278781456e_beta )
| ~ ( genClo1015804716orrect @ X1 @ ( genClo1163638703lle_te @ X1 @ ( plus_plus_nat @ one_one_nat @ i ) ) ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]),c_0_12]),c_0_12]) ).
thf(c_0_16,plain,
genClo1015804716orrect @ p @ ( genClo1163638703lle_te @ p @ ( plus_plus_nat @ one_one_nat @ i ) ),
inference(spm,[status(thm)],[c_0_13,c_0_12]) ).
thf(c_0_17,negated_conjecture,
~ ( ord_less_eq_real @ ( abs_abs_real @ ( minus_minus_real @ ( genClo1163638703lle_te @ p @ ( plus_plus_nat @ one_one_nat @ i ) ) @ ( genClo1163638703lle_te @ q @ ( plus_plus_nat @ one_one_nat @ i ) ) ) ) @ genClo1278781456e_beta ),
inference(spm,[status(thm)],[c_0_14,c_0_12]) ).
thf(c_0_18,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : ITP063^1 : TPTP v8.2.0. Released v7.5.0.
% 0.04/0.15 % Command : run_E %s %d THM
% 0.15/0.37 % Computer : n011.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Sat May 18 16:59:38 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.36/0.52 Running higher-order theorem proving
% 0.36/0.52 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/0.67 # Version: 3.1.0-ho
% 0.36/0.67 # Preprocessing class: HSLSSMSMSSSNHFA.
% 0.36/0.67 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.36/0.67 # Starting new_ho_10 with 1500s (5) cores
% 0.36/0.67 # Starting new_ho_10_cnf2 with 300s (1) cores
% 0.36/0.67 # Starting full_lambda_6 with 300s (1) cores
% 0.36/0.67 # Starting full_lambda_9 with 300s (1) cores
% 0.36/0.67 # full_lambda_6 with pid 27048 completed with status 0
% 0.36/0.67 # Result found by full_lambda_6
% 0.36/0.67 # Preprocessing class: HSLSSMSMSSSNHFA.
% 0.36/0.67 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.36/0.67 # Starting new_ho_10 with 1500s (5) cores
% 0.36/0.67 # Starting new_ho_10_cnf2 with 300s (1) cores
% 0.36/0.67 # Starting full_lambda_6 with 300s (1) cores
% 0.36/0.67 # SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true)
% 0.36/0.67 # Search class: HGUSM-FSLM21-DHFFFFBN
% 0.36/0.67 # partial match(2): HGUSM-FSLM32-DHFFFFBN
% 0.36/0.67 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.36/0.67 # Starting new_ho_10 with 163s (1) cores
% 0.36/0.67 # new_ho_10 with pid 27050 completed with status 0
% 0.36/0.67 # Result found by new_ho_10
% 0.36/0.67 # Preprocessing class: HSLSSMSMSSSNHFA.
% 0.36/0.67 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.36/0.67 # Starting new_ho_10 with 1500s (5) cores
% 0.36/0.67 # Starting new_ho_10_cnf2 with 300s (1) cores
% 0.36/0.67 # Starting full_lambda_6 with 300s (1) cores
% 0.36/0.67 # SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true)
% 0.36/0.67 # Search class: HGUSM-FSLM21-DHFFFFBN
% 0.36/0.67 # partial match(2): HGUSM-FSLM32-DHFFFFBN
% 0.36/0.67 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.36/0.67 # Starting new_ho_10 with 163s (1) cores
% 0.36/0.67 # Preprocessing time : 0.006 s
% 0.36/0.67 # Presaturation interreduction done
% 0.36/0.67
% 0.36/0.67 # Proof found!
% 0.36/0.67 # SZS status Theorem
% 0.36/0.67 # SZS output start CNFRefutation
% See solution above
% 0.36/0.67 # Parsed axioms : 366
% 0.36/0.67 # Removed by relevancy pruning/SinE : 31
% 0.36/0.67 # Initial clauses : 441
% 0.36/0.67 # Removed in clause preprocessing : 25
% 0.36/0.67 # Initial clauses in saturation : 416
% 0.36/0.67 # Processed clauses : 879
% 0.36/0.67 # ...of these trivial : 71
% 0.36/0.67 # ...subsumed : 205
% 0.36/0.67 # ...remaining for further processing : 603
% 0.36/0.67 # Other redundant clauses eliminated : 139
% 0.36/0.67 # Clauses deleted for lack of memory : 0
% 0.36/0.67 # Backward-subsumed : 5
% 0.36/0.67 # Backward-rewritten : 10
% 0.36/0.67 # Generated clauses : 3912
% 0.36/0.67 # ...of the previous two non-redundant : 3021
% 0.36/0.67 # ...aggressively subsumed : 0
% 0.36/0.67 # Contextual simplify-reflections : 2
% 0.36/0.67 # Paramodulations : 3733
% 0.36/0.67 # Factorizations : 2
% 0.36/0.67 # NegExts : 0
% 0.36/0.67 # Equation resolutions : 150
% 0.36/0.67 # Disequality decompositions : 0
% 0.36/0.67 # Total rewrite steps : 1992
% 0.36/0.67 # ...of those cached : 1485
% 0.36/0.67 # Propositional unsat checks : 0
% 0.36/0.67 # Propositional check models : 0
% 0.36/0.67 # Propositional check unsatisfiable : 0
% 0.36/0.67 # Propositional clauses : 0
% 0.36/0.67 # Propositional clauses after purity: 0
% 0.36/0.67 # Propositional unsat core size : 0
% 0.36/0.67 # Propositional preprocessing time : 0.000
% 0.36/0.67 # Propositional encoding time : 0.000
% 0.36/0.67 # Propositional solver time : 0.000
% 0.36/0.67 # Success case prop preproc time : 0.000
% 0.36/0.67 # Success case prop encoding time : 0.000
% 0.36/0.67 # Success case prop solver time : 0.000
% 0.36/0.67 # Current number of processed clauses : 296
% 0.36/0.67 # Positive orientable unit clauses : 113
% 0.36/0.67 # Positive unorientable unit clauses: 9
% 0.36/0.67 # Negative unit clauses : 9
% 0.36/0.67 # Non-unit-clauses : 165
% 0.36/0.67 # Current number of unprocessed clauses: 2770
% 0.36/0.67 # ...number of literals in the above : 6174
% 0.36/0.67 # Current number of archived formulas : 0
% 0.36/0.67 # Current number of archived clauses : 239
% 0.36/0.67 # Clause-clause subsumption calls (NU) : 15126
% 0.36/0.67 # Rec. Clause-clause subsumption calls : 13066
% 0.36/0.67 # Non-unit clause-clause subsumptions : 189
% 0.36/0.67 # Unit Clause-clause subsumption calls : 307
% 0.36/0.67 # Rewrite failures with RHS unbound : 0
% 0.36/0.67 # BW rewrite match attempts : 235
% 0.36/0.67 # BW rewrite match successes : 113
% 0.36/0.67 # Condensation attempts : 879
% 0.36/0.67 # Condensation successes : 0
% 0.36/0.67 # Termbank termtop insertions : 62868
% 0.36/0.67 # Search garbage collected termcells : 6554
% 0.36/0.67
% 0.36/0.67 # -------------------------------------------------
% 0.36/0.67 # User time : 0.109 s
% 0.36/0.67 # System time : 0.016 s
% 0.36/0.67 # Total time : 0.125 s
% 0.36/0.67 # Maximum resident set size: 3684 pages
% 0.36/0.67
% 0.36/0.67 # -------------------------------------------------
% 0.36/0.67 # User time : 0.119 s
% 0.36/0.67 # System time : 0.019 s
% 0.36/0.67 # Total time : 0.138 s
% 0.36/0.67 # Maximum resident set size: 2228 pages
% 0.36/0.67 % E---3.1 exiting
% 0.36/0.67 % E exiting
%------------------------------------------------------------------------------