TSTP Solution File: ITP018^4 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ITP018^4 : TPTP v8.2.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n023.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 22:15:41 EDT 2024
% Result : Theorem 10.34s 7.22s
% Output : CNFRefutation 10.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 21
% Syntax : Number of formulae : 29 ( 11 unt; 18 typ; 0 def)
% Number of atoms : 11 ( 10 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 254 ( 3 ~; 0 |; 0 &; 251 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Number of types : 4 ( 4 usr)
% Number of type conns : 13 ( 13 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 5 con; 0-2 aty)
% Number of variables : 19 ( 0 ^ 19 !; 0 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
d: $tType ).
thf(decl_sort2,type,
u: $tType ).
thf(decl_sort3,type,
du: $tType ).
thf(decl_sort4,type,
mono_2Etyop_2Erealax_2Ereal: $tType ).
thf(decl_24,type,
s: d > u > du ).
thf(decl_59,type,
tyop_2Ebool_2Eitself: d > d ).
thf(decl_98,type,
c_2Ebool_2Ethe__value_2E0: u ).
thf(decl_465,type,
tyop_2Epair_2Eprod: d > d > d ).
thf(decl_7619,type,
tyop_2Erealax_2Ereal: d ).
thf(decl_7707,type,
mono_2Ec_2Erealax_2Ereal__neg: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ).
thf(decl_7773,type,
j_mono_2Etyop_2Erealax_2Ereal: du > mono_2Etyop_2Erealax_2Ereal ).
thf(decl_9584,type,
tyop_2Ebinary__ieee_2Efloat: d > d > d ).
thf(decl_9730,type,
c_2Ebinary__ieee_2Efloat__negate_2E1: du > u ).
thf(decl_9734,type,
c_2Ebinary__ieee_2Efloat__plus__min_2E1: du > u ).
thf(decl_9756,type,
c_2Ebinary__ieee_2Efloat__to__real_2E1: du > u ).
thf(decl_9805,type,
c_2Ebinary__ieee_2Eulp_2E1: du > u ).
thf(decl_10179,type,
esk1_0: d ).
thf(decl_10180,type,
esk2_0: d ).
thf(thm_2Ebinary__ieee_2Eneg__ulp,conjecture,
! [X27483: d,X27485: d] :
( ( mono_2Ec_2Erealax_2Ereal__neg @ ( j_mono_2Etyop_2Erealax_2Ereal @ ( s @ tyop_2Erealax_2Ereal @ ( c_2Ebinary__ieee_2Eulp_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ ( tyop_2Epair_2Eprod @ X27483 @ X27485 ) ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) )
= ( j_mono_2Etyop_2Erealax_2Ereal @ ( s @ tyop_2Erealax_2Ereal @ ( c_2Ebinary__ieee_2Efloat__to__real_2E1 @ ( s @ ( tyop_2Ebinary__ieee_2Efloat @ X27483 @ X27485 ) @ ( c_2Ebinary__ieee_2Efloat__negate_2E1 @ ( s @ ( tyop_2Ebinary__ieee_2Efloat @ X27483 @ X27485 ) @ ( c_2Ebinary__ieee_2Efloat__plus__min_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ ( tyop_2Epair_2Eprod @ X27483 @ X27485 ) ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebinary__ieee_2Eneg__ulp) ).
thf(thm_2Ebinary__ieee_2Efloat__to__real__negate,axiom,
! [X1: d,X2: d,X6: u] :
( ( j_mono_2Etyop_2Erealax_2Ereal @ ( s @ tyop_2Erealax_2Ereal @ ( c_2Ebinary__ieee_2Efloat__to__real_2E1 @ ( s @ ( tyop_2Ebinary__ieee_2Efloat @ X1 @ X2 ) @ ( c_2Ebinary__ieee_2Efloat__negate_2E1 @ ( s @ ( tyop_2Ebinary__ieee_2Efloat @ X1 @ X2 ) @ X6 ) ) ) ) ) )
= ( mono_2Ec_2Erealax_2Ereal__neg @ ( j_mono_2Etyop_2Erealax_2Ereal @ ( s @ tyop_2Erealax_2Ereal @ ( c_2Ebinary__ieee_2Efloat__to__real_2E1 @ ( s @ ( tyop_2Ebinary__ieee_2Efloat @ X1 @ X2 ) @ X6 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebinary__ieee_2Efloat__to__real__negate) ).
thf(thm_2Ebinary__ieee_2Eulp,axiom,
! [X27483: d,X27485: d] :
( ( j_mono_2Etyop_2Erealax_2Ereal @ ( s @ tyop_2Erealax_2Ereal @ ( c_2Ebinary__ieee_2Eulp_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ ( tyop_2Epair_2Eprod @ X27483 @ X27485 ) ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) )
= ( j_mono_2Etyop_2Erealax_2Ereal @ ( s @ tyop_2Erealax_2Ereal @ ( c_2Ebinary__ieee_2Efloat__to__real_2E1 @ ( s @ ( tyop_2Ebinary__ieee_2Efloat @ X27483 @ X27485 ) @ ( c_2Ebinary__ieee_2Efloat__plus__min_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ ( tyop_2Epair_2Eprod @ X27483 @ X27485 ) ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebinary__ieee_2Eulp) ).
thf(c_0_3,negated_conjecture,
~ ! [X27483: d,X27485: d] :
( ( mono_2Ec_2Erealax_2Ereal__neg @ ( j_mono_2Etyop_2Erealax_2Ereal @ ( s @ tyop_2Erealax_2Ereal @ ( c_2Ebinary__ieee_2Eulp_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ ( tyop_2Epair_2Eprod @ X27483 @ X27485 ) ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) )
= ( j_mono_2Etyop_2Erealax_2Ereal @ ( s @ tyop_2Erealax_2Ereal @ ( c_2Ebinary__ieee_2Efloat__to__real_2E1 @ ( s @ ( tyop_2Ebinary__ieee_2Efloat @ X27483 @ X27485 ) @ ( c_2Ebinary__ieee_2Efloat__negate_2E1 @ ( s @ ( tyop_2Ebinary__ieee_2Efloat @ X27483 @ X27485 ) @ ( c_2Ebinary__ieee_2Efloat__plus__min_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ ( tyop_2Epair_2Eprod @ X27483 @ X27485 ) ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[thm_2Ebinary__ieee_2Eneg__ulp]) ).
thf(c_0_4,negated_conjecture,
( ( mono_2Ec_2Erealax_2Ereal__neg @ ( j_mono_2Etyop_2Erealax_2Ereal @ ( s @ tyop_2Erealax_2Ereal @ ( c_2Ebinary__ieee_2Eulp_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ ( tyop_2Epair_2Eprod @ esk1_0 @ esk2_0 ) ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) )
!= ( j_mono_2Etyop_2Erealax_2Ereal @ ( s @ tyop_2Erealax_2Ereal @ ( c_2Ebinary__ieee_2Efloat__to__real_2E1 @ ( s @ ( tyop_2Ebinary__ieee_2Efloat @ esk1_0 @ esk2_0 ) @ ( c_2Ebinary__ieee_2Efloat__negate_2E1 @ ( s @ ( tyop_2Ebinary__ieee_2Efloat @ esk1_0 @ esk2_0 ) @ ( c_2Ebinary__ieee_2Efloat__plus__min_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ ( tyop_2Epair_2Eprod @ esk1_0 @ esk2_0 ) ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).
thf(c_0_5,plain,
! [X45875: d,X45876: d,X45877: u] :
( ( j_mono_2Etyop_2Erealax_2Ereal @ ( s @ tyop_2Erealax_2Ereal @ ( c_2Ebinary__ieee_2Efloat__to__real_2E1 @ ( s @ ( tyop_2Ebinary__ieee_2Efloat @ X45875 @ X45876 ) @ ( c_2Ebinary__ieee_2Efloat__negate_2E1 @ ( s @ ( tyop_2Ebinary__ieee_2Efloat @ X45875 @ X45876 ) @ X45877 ) ) ) ) ) )
= ( mono_2Ec_2Erealax_2Ereal__neg @ ( j_mono_2Etyop_2Erealax_2Ereal @ ( s @ tyop_2Erealax_2Ereal @ ( c_2Ebinary__ieee_2Efloat__to__real_2E1 @ ( s @ ( tyop_2Ebinary__ieee_2Efloat @ X45875 @ X45876 ) @ X45877 ) ) ) ) ) ),
inference(variable_rename,[status(thm)],[thm_2Ebinary__ieee_2Efloat__to__real__negate]) ).
thf(c_0_6,plain,
! [X46294: d,X46295: d] :
( ( j_mono_2Etyop_2Erealax_2Ereal @ ( s @ tyop_2Erealax_2Ereal @ ( c_2Ebinary__ieee_2Eulp_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ ( tyop_2Epair_2Eprod @ X46294 @ X46295 ) ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) )
= ( j_mono_2Etyop_2Erealax_2Ereal @ ( s @ tyop_2Erealax_2Ereal @ ( c_2Ebinary__ieee_2Efloat__to__real_2E1 @ ( s @ ( tyop_2Ebinary__ieee_2Efloat @ X46294 @ X46295 ) @ ( c_2Ebinary__ieee_2Efloat__plus__min_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ ( tyop_2Epair_2Eprod @ X46294 @ X46295 ) ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) ) ) ),
inference(variable_rename,[status(thm)],[thm_2Ebinary__ieee_2Eulp]) ).
thf(c_0_7,negated_conjecture,
( ( mono_2Ec_2Erealax_2Ereal__neg @ ( j_mono_2Etyop_2Erealax_2Ereal @ ( s @ tyop_2Erealax_2Ereal @ ( c_2Ebinary__ieee_2Eulp_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ ( tyop_2Epair_2Eprod @ esk1_0 @ esk2_0 ) ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) )
!= ( j_mono_2Etyop_2Erealax_2Ereal @ ( s @ tyop_2Erealax_2Ereal @ ( c_2Ebinary__ieee_2Efloat__to__real_2E1 @ ( s @ ( tyop_2Ebinary__ieee_2Efloat @ esk1_0 @ esk2_0 ) @ ( c_2Ebinary__ieee_2Efloat__negate_2E1 @ ( s @ ( tyop_2Ebinary__ieee_2Efloat @ esk1_0 @ esk2_0 ) @ ( c_2Ebinary__ieee_2Efloat__plus__min_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ ( tyop_2Epair_2Eprod @ esk1_0 @ esk2_0 ) ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) ) ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_8,plain,
! [X1: d,X2: d,X3: u] :
( ( j_mono_2Etyop_2Erealax_2Ereal @ ( s @ tyop_2Erealax_2Ereal @ ( c_2Ebinary__ieee_2Efloat__to__real_2E1 @ ( s @ ( tyop_2Ebinary__ieee_2Efloat @ X1 @ X2 ) @ ( c_2Ebinary__ieee_2Efloat__negate_2E1 @ ( s @ ( tyop_2Ebinary__ieee_2Efloat @ X1 @ X2 ) @ X3 ) ) ) ) ) )
= ( mono_2Ec_2Erealax_2Ereal__neg @ ( j_mono_2Etyop_2Erealax_2Ereal @ ( s @ tyop_2Erealax_2Ereal @ ( c_2Ebinary__ieee_2Efloat__to__real_2E1 @ ( s @ ( tyop_2Ebinary__ieee_2Efloat @ X1 @ X2 ) @ X3 ) ) ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_9,plain,
! [X1: d,X2: d] :
( ( j_mono_2Etyop_2Erealax_2Ereal @ ( s @ tyop_2Erealax_2Ereal @ ( c_2Ebinary__ieee_2Eulp_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ ( tyop_2Epair_2Eprod @ X1 @ X2 ) ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) )
= ( j_mono_2Etyop_2Erealax_2Ereal @ ( s @ tyop_2Erealax_2Ereal @ ( c_2Ebinary__ieee_2Efloat__to__real_2E1 @ ( s @ ( tyop_2Ebinary__ieee_2Efloat @ X1 @ X2 ) @ ( c_2Ebinary__ieee_2Efloat__plus__min_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ ( tyop_2Epair_2Eprod @ X1 @ X2 ) ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_10,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8]),c_0_9])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ITP018^4 : TPTP v8.2.0. Bugfixed v7.5.0.
% 0.06/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat May 18 18:17:10 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running higher-order theorem proving
% 0.20/0.48 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
% 10.34/7.22 # Version: 3.1.0-ho
% 10.34/7.22 # partial match(3): HMLMSLSLSSSCHFA
% 10.34/7.22 # Preprocessing class: HMLLMLLLSSSCHFA.
% 10.34/7.22 # Scheduled 4 strats onto 8 cores with 295 seconds (2360 total)
% 10.34/7.22 # Starting new_ho_2 with 1180s (4) cores
% 10.34/7.22 # Starting sh3l with 590s (2) cores
% 10.34/7.22 # Starting lpo5_rw_fix with 295s (1) cores
% 10.34/7.22 # Starting full_lambda_7 with 295s (1) cores
% 10.34/7.22 # lpo5_rw_fix with pid 18575 completed with status 0
% 10.34/7.22 # Result found by lpo5_rw_fix
% 10.34/7.22 # partial match(3): HMLMSLSLSSSCHFA
% 10.34/7.22 # Preprocessing class: HMLLMLLLSSSCHFA.
% 10.34/7.22 # Scheduled 4 strats onto 8 cores with 295 seconds (2360 total)
% 10.34/7.22 # Starting new_ho_2 with 1180s (4) cores
% 10.34/7.22 # Starting sh3l with 590s (2) cores
% 10.34/7.22 # Starting lpo5_rw_fix with 295s (1) cores
% 10.34/7.22 # SinE strategy is gf120_gu_RUU_F100_L01000
% 10.34/7.22 # Search class: HGHSM-SSLM33-DHFFFFBN
% 10.34/7.22 # partial match(2): HGHSM-SSLM32-MHFFFFBN
% 10.34/7.22 # Scheduled 6 strats onto 1 cores with 295 seconds (295 total)
% 10.34/7.22 # Starting new_ho_10 with 160s (1) cores
% 10.34/7.22 # new_ho_10 with pid 18577 completed with status 0
% 10.34/7.22 # Result found by new_ho_10
% 10.34/7.22 # partial match(3): HMLMSLSLSSSCHFA
% 10.34/7.22 # Preprocessing class: HMLLMLLLSSSCHFA.
% 10.34/7.22 # Scheduled 4 strats onto 8 cores with 295 seconds (2360 total)
% 10.34/7.22 # Starting new_ho_2 with 1180s (4) cores
% 10.34/7.22 # Starting sh3l with 590s (2) cores
% 10.34/7.22 # Starting lpo5_rw_fix with 295s (1) cores
% 10.34/7.22 # SinE strategy is gf120_gu_RUU_F100_L01000
% 10.34/7.22 # Search class: HGHSM-SSLM33-DHFFFFBN
% 10.34/7.22 # partial match(2): HGHSM-SSLM32-MHFFFFBN
% 10.34/7.22 # Scheduled 6 strats onto 1 cores with 295 seconds (295 total)
% 10.34/7.22 # Starting new_ho_10 with 160s (1) cores
% 10.34/7.22 # Preprocessing time : 0.089 s
% 10.34/7.22 # Presaturation interreduction done
% 10.34/7.22
% 10.34/7.22 # Proof found!
% 10.34/7.22 # SZS status Theorem
% 10.34/7.22 # SZS output start CNFRefutation
% See solution above
% 10.34/7.22 # Parsed axioms : 62911
% 10.34/7.22 # Removed by relevancy pruning/SinE : 61910
% 10.34/7.22 # Initial clauses : 1563
% 10.34/7.22 # Removed in clause preprocessing : 86
% 10.34/7.22 # Initial clauses in saturation : 1477
% 10.34/7.22 # Processed clauses : 675
% 10.34/7.22 # ...of these trivial : 157
% 10.34/7.22 # ...subsumed : 391
% 10.34/7.22 # ...remaining for further processing : 127
% 10.34/7.22 # Other redundant clauses eliminated : 14
% 10.34/7.22 # Clauses deleted for lack of memory : 0
% 10.34/7.22 # Backward-subsumed : 0
% 10.34/7.22 # Backward-rewritten : 4
% 10.34/7.22 # Generated clauses : 10
% 10.34/7.22 # ...of the previous two non-redundant : 4
% 10.34/7.22 # ...aggressively subsumed : 0
% 10.34/7.22 # Contextual simplify-reflections : 0
% 10.34/7.22 # Paramodulations : 0
% 10.34/7.22 # Factorizations : 0
% 10.34/7.22 # NegExts : 0
% 10.34/7.22 # Equation resolutions : 14
% 10.34/7.22 # Disequality decompositions : 0
% 10.34/7.22 # Total rewrite steps : 254
% 10.34/7.22 # ...of those cached : 221
% 10.34/7.22 # Propositional unsat checks : 0
% 10.34/7.22 # Propositional check models : 0
% 10.34/7.22 # Propositional check unsatisfiable : 0
% 10.34/7.22 # Propositional clauses : 0
% 10.34/7.22 # Propositional clauses after purity: 0
% 10.34/7.22 # Propositional unsat core size : 0
% 10.34/7.22 # Propositional preprocessing time : 0.000
% 10.34/7.22 # Propositional encoding time : 0.000
% 10.34/7.22 # Propositional solver time : 0.000
% 10.34/7.22 # Success case prop preproc time : 0.000
% 10.34/7.22 # Success case prop encoding time : 0.000
% 10.34/7.22 # Success case prop solver time : 0.000
% 10.34/7.22 # Current number of processed clauses : 113
% 10.34/7.22 # Positive orientable unit clauses : 20
% 10.34/7.22 # Positive unorientable unit clauses: 2
% 10.34/7.22 # Negative unit clauses : 3
% 10.34/7.22 # Non-unit-clauses : 88
% 10.34/7.22 # Current number of unprocessed clauses: 806
% 10.34/7.22 # ...number of literals in the above : 1312
% 10.34/7.22 # Current number of archived formulas : 0
% 10.34/7.22 # Current number of archived clauses : 4
% 10.34/7.22 # Clause-clause subsumption calls (NU) : 2530
% 10.34/7.22 # Rec. Clause-clause subsumption calls : 1854
% 10.34/7.22 # Non-unit clause-clause subsumptions : 262
% 10.34/7.22 # Unit Clause-clause subsumption calls : 6
% 10.34/7.22 # Rewrite failures with RHS unbound : 0
% 10.34/7.22 # BW rewrite match attempts : 6
% 10.34/7.22 # BW rewrite match successes : 3
% 10.34/7.22 # Condensation attempts : 675
% 10.34/7.22 # Condensation successes : 0
% 10.34/7.22 # Termbank termtop insertions : 2275126
% 10.34/7.22 # Search garbage collected termcells : 463159
% 10.34/7.22
% 10.34/7.22 # -------------------------------------------------
% 10.34/7.22 # User time : 0.853 s
% 10.34/7.22 # System time : 0.172 s
% 10.34/7.22 # Total time : 1.025 s
% 10.34/7.22 # Maximum resident set size: 122144 pages
% 10.34/7.22
% 10.34/7.22 # -------------------------------------------------
% 10.34/7.22 # User time : 6.381 s
% 10.34/7.22 # System time : 0.277 s
% 10.34/7.22 # Total time : 6.658 s
% 10.34/7.22 # Maximum resident set size: 104860 pages
% 10.34/7.22 % E---3.1 exiting
% 10.34/7.22 % E exiting
%------------------------------------------------------------------------------