TSTP Solution File: ITP224^3 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ITP224^3 : TPTP v8.2.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n007.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 22:17:07 EDT 2024
% Result : ContradictoryAxioms 24.57s 7.20s
% Output : CNFRefutation 24.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 15
% Syntax : Number of formulae : 26 ( 14 unt; 9 typ; 0 def)
% Number of atoms : 26 ( 20 equ; 0 cnn)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 43 ( 8 ~; 5 |; 3 &; 26 @)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 6 ( 0 ^ 6 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
nat: $tType ).
thf(decl_sort2,type,
vEBT_VEBT: $tType ).
thf(decl_251,type,
plus_plus_nat: nat > nat > nat ).
thf(decl_278,type,
zero_zero_nat: nat ).
thf(decl_831,type,
vEBT_invar_vebt: vEBT_VEBT > nat > $o ).
thf(decl_859,type,
deg: nat ).
thf(decl_861,type,
m: nat ).
thf(decl_863,type,
na: nat ).
thf(decl_864,type,
summary: vEBT_VEBT ).
thf(fact_72_zero__eq__add__iff__both__eq__0,axiom,
! [X98: nat,X99: nat] :
( ( zero_zero_nat
= ( plus_plus_nat @ X98 @ X99 ) )
<=> ( ( X98 = zero_zero_nat )
& ( X99 = zero_zero_nat ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_72_zero__eq__add__iff__both__eq__0) ).
thf(conj_6,hypothesis,
( deg
= ( plus_plus_nat @ na @ m ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_6) ).
thf(conj_5,hypothesis,
m = na,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_5) ).
thf(conj_1,hypothesis,
zero_zero_nat = deg,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
thf(fact_0_Node_OIH_I2_J,axiom,
~ ( vEBT_invar_vebt @ summary @ zero_zero_nat ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_Node_OIH_I2_J) ).
thf(conj_3,hypothesis,
vEBT_invar_vebt @ summary @ m,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_3) ).
thf(c_0_6,plain,
! [X24438: nat,X24439: nat] :
( ( ( X24438 = zero_zero_nat )
| ( zero_zero_nat
!= ( plus_plus_nat @ X24438 @ X24439 ) ) )
& ( ( X24439 = zero_zero_nat )
| ( zero_zero_nat
!= ( plus_plus_nat @ X24438 @ X24439 ) ) )
& ( ( X24438 != zero_zero_nat )
| ( X24439 != zero_zero_nat )
| ( zero_zero_nat
= ( plus_plus_nat @ X24438 @ X24439 ) ) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_72_zero__eq__add__iff__both__eq__0])])]) ).
thf(c_0_7,hypothesis,
( deg
= ( plus_plus_nat @ na @ m ) ),
inference(split_conjunct,[status(thm)],[conj_6]) ).
thf(c_0_8,hypothesis,
m = na,
inference(split_conjunct,[status(thm)],[conj_5]) ).
thf(c_0_9,hypothesis,
zero_zero_nat = deg,
inference(split_conjunct,[status(thm)],[conj_1]) ).
thf(c_0_10,plain,
! [X15: nat,X3: nat] :
( ( X3 = zero_zero_nat )
| ( zero_zero_nat
!= ( plus_plus_nat @ X15 @ X3 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_11,hypothesis,
( ( plus_plus_nat @ m @ m )
= zero_zero_nat ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8]),c_0_9]) ).
thf(c_0_12,plain,
~ ( vEBT_invar_vebt @ summary @ zero_zero_nat ),
inference(fof_simplification,[status(thm)],[fact_0_Node_OIH_I2_J]) ).
thf(c_0_13,hypothesis,
vEBT_invar_vebt @ summary @ m,
inference(split_conjunct,[status(thm)],[conj_3]) ).
thf(c_0_14,hypothesis,
m = zero_zero_nat,
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
thf(c_0_15,plain,
~ ( vEBT_invar_vebt @ summary @ zero_zero_nat ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
thf(c_0_16,hypothesis,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14]),c_0_15]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ITP224^3 : TPTP v8.2.0. Released v8.1.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.14/0.36 % Computer : n007.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat May 18 16:52:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.21/0.50 Running higher-order theorem proving
% 0.21/0.50 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 24.57/7.20 # Version: 3.1.0-ho
% 24.57/7.20 # partial match(1): HMLMSMSMSSLCHFA
% 24.57/7.20 # Preprocessing class: HMLMSMLMSSLCHFA.
% 24.57/7.20 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 24.57/7.20 # Starting new_ho_10 with 1500s (5) cores
% 24.57/7.20 # Starting sh5l with 300s (1) cores
% 24.57/7.20 # Starting new_bool_1 with 300s (1) cores
% 24.57/7.20 # Starting new_bool_2 with 300s (1) cores
% 24.57/7.20 # new_bool_2 with pid 25536 completed with status 0
% 24.57/7.20 # Result found by new_bool_2
% 24.57/7.20 # partial match(1): HMLMSMSMSSLCHFA
% 24.57/7.20 # Preprocessing class: HMLMSMLMSSLCHFA.
% 24.57/7.20 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 24.57/7.20 # Starting new_ho_10 with 1500s (5) cores
% 24.57/7.20 # Starting sh5l with 300s (1) cores
% 24.57/7.20 # Starting new_bool_1 with 300s (1) cores
% 24.57/7.20 # Starting new_bool_2 with 300s (1) cores
% 24.57/7.20 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 24.57/7.20 # Search class: HGHSM-SMLM32-DHFFFSBN
% 24.57/7.20 # Scheduled 5 strats onto 1 cores with 299 seconds (299 total)
% 24.57/7.20 # Starting new_ho_10 with 180s (1) cores
% 24.57/7.20 # new_ho_10 with pid 25537 completed with status 0
% 24.57/7.20 # Result found by new_ho_10
% 24.57/7.20 # partial match(1): HMLMSMSMSSLCHFA
% 24.57/7.20 # Preprocessing class: HMLMSMLMSSLCHFA.
% 24.57/7.20 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 24.57/7.20 # Starting new_ho_10 with 1500s (5) cores
% 24.57/7.20 # Starting sh5l with 300s (1) cores
% 24.57/7.20 # Starting new_bool_1 with 300s (1) cores
% 24.57/7.20 # Starting new_bool_2 with 300s (1) cores
% 24.57/7.20 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 24.57/7.20 # Search class: HGHSM-SMLM32-DHFFFSBN
% 24.57/7.20 # Scheduled 5 strats onto 1 cores with 299 seconds (299 total)
% 24.57/7.20 # Starting new_ho_10 with 180s (1) cores
% 24.57/7.20 # Preprocessing time : 0.145 s
% 24.57/7.20 # Presaturation interreduction done
% 24.57/7.20
% 24.57/7.20 # Proof found!
% 24.57/7.20 # SZS status ContradictoryAxioms
% 24.57/7.20 # SZS output start CNFRefutation
% See solution above
% 24.57/7.20 # Parsed axioms : 11168
% 24.57/7.20 # Removed by relevancy pruning/SinE : 7155
% 24.57/7.20 # Initial clauses : 7717
% 24.57/7.20 # Removed in clause preprocessing : 373
% 24.57/7.20 # Initial clauses in saturation : 7344
% 24.57/7.20 # Processed clauses : 8134
% 24.57/7.20 # ...of these trivial : 360
% 24.57/7.20 # ...subsumed : 1317
% 24.57/7.20 # ...remaining for further processing : 6457
% 24.57/7.20 # Other redundant clauses eliminated : 1404
% 24.57/7.20 # Clauses deleted for lack of memory : 0
% 24.57/7.20 # Backward-subsumed : 29
% 24.57/7.20 # Backward-rewritten : 102
% 24.57/7.20 # Generated clauses : 1075
% 24.57/7.20 # ...of the previous two non-redundant : 637
% 24.57/7.20 # ...aggressively subsumed : 0
% 24.57/7.20 # Contextual simplify-reflections : 21
% 24.57/7.20 # Paramodulations : 52
% 24.57/7.20 # Factorizations : 0
% 24.57/7.20 # NegExts : 0
% 24.57/7.20 # Equation resolutions : 1404
% 24.57/7.20 # Disequality decompositions : 0
% 24.57/7.20 # Total rewrite steps : 4064
% 24.57/7.20 # ...of those cached : 3166
% 24.57/7.20 # Propositional unsat checks : 0
% 24.57/7.20 # Propositional check models : 0
% 24.57/7.20 # Propositional check unsatisfiable : 0
% 24.57/7.20 # Propositional clauses : 0
% 24.57/7.20 # Propositional clauses after purity: 0
% 24.57/7.20 # Propositional unsat core size : 0
% 24.57/7.20 # Propositional preprocessing time : 0.000
% 24.57/7.20 # Propositional encoding time : 0.000
% 24.57/7.20 # Propositional solver time : 0.000
% 24.57/7.20 # Success case prop preproc time : 0.000
% 24.57/7.20 # Success case prop encoding time : 0.000
% 24.57/7.20 # Success case prop solver time : 0.000
% 24.57/7.20 # Current number of processed clauses : 164
% 24.57/7.20 # Positive orientable unit clauses : 61
% 24.57/7.20 # Positive unorientable unit clauses: 0
% 24.57/7.20 # Negative unit clauses : 91
% 24.57/7.20 # Non-unit-clauses : 12
% 24.57/7.20 # Current number of unprocessed clauses: 4988
% 24.57/7.20 # ...number of literals in the above : 16916
% 24.57/7.20 # Current number of archived formulas : 0
% 24.57/7.20 # Current number of archived clauses : 5272
% 24.57/7.20 # Clause-clause subsumption calls (NU) : 10869344
% 24.57/7.20 # Rec. Clause-clause subsumption calls : 1296541
% 24.57/7.20 # Non-unit clause-clause subsumptions : 1123
% 24.57/7.20 # Unit Clause-clause subsumption calls : 55229
% 24.57/7.20 # Rewrite failures with RHS unbound : 0
% 24.57/7.20 # BW rewrite match attempts : 850
% 24.57/7.20 # BW rewrite match successes : 258
% 24.57/7.20 # Condensation attempts : 8134
% 24.57/7.20 # Condensation successes : 0
% 24.57/7.20 # Termbank termtop insertions : 2353510
% 24.57/7.20 # Search garbage collected termcells : 160343
% 24.57/7.20
% 24.57/7.20 # -------------------------------------------------
% 24.57/7.20 # User time : 5.797 s
% 24.57/7.20 # System time : 0.118 s
% 24.57/7.20 # Total time : 5.915 s
% 24.57/7.20 # Maximum resident set size: 42760 pages
% 24.57/7.20
% 24.57/7.20 # -------------------------------------------------
% 24.57/7.20 # User time : 6.505 s
% 24.57/7.20 # System time : 0.145 s
% 24.57/7.20 # Total time : 6.651 s
% 24.57/7.20 # Maximum resident set size: 23116 pages
% 24.57/7.20 % E---3.1 exiting
% 24.57/7.20 % E exiting
%------------------------------------------------------------------------------