TSTP Solution File: ITP010^4 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ITP010^4 : TPTP v8.2.0. Bugfixed v7.5.0.
% 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 : Mon May 20 22:15:23 EDT 2024
% Result : Theorem 4.71s 3.04s
% Output : CNFRefutation 4.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of formulae : 13 ( 4 unt; 8 typ; 0 def)
% Number of atoms : 6 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 32 ( 5 ~; 0 |; 0 &; 26 @)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 8 ( 0 ^ 8 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
d: $tType ).
thf(decl_sort2,type,
u: $tType ).
thf(decl_sort3,type,
du: $tType ).
thf(decl_22,type,
tyop_2Emin_2Ebool: d ).
thf(decl_23,type,
tyop_2Emin_2Efun: d > d > d ).
thf(decl_24,type,
s: d > u > du ).
thf(decl_56,type,
j_mono_2Etyop_2Emin_2Ebool: du > $o ).
thf(decl_3845,type,
c_2Ecardinal_2Ecardleq_2E2: du > du > u ).
thf(thm_2Ecardinal_2ECARD__NOT__LE,conjecture,
! [X1: d,X2: d,X468: u,X85: u] :
( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecardinal_2Ecardleq_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X468 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X85 ) ) ) )
<=> ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ecardinal_2Ecardleq_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X468 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X85 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ecardinal_2ECARD__NOT__LE) ).
thf(c_0_1,negated_conjecture,
~ ! [X1: d,X2: d,X468: u,X85: u] : $true,
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[thm_2Ecardinal_2ECARD__NOT__LE])]) ).
thf(c_0_2,negated_conjecture,
~ $true,
inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_1])]) ).
thf(c_0_3,negated_conjecture,
~ $true,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
$false,
inference(cn,[status(thm)],[c_0_3]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ITP010^4 : TPTP v8.2.0. Bugfixed v7.5.0.
% 0.03/0.14 % Command : run_E %s %d THM
% 0.13/0.36 % Computer : n016.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Sat May 18 18:21:23 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.21/0.49 Running higher-order theorem proving
% 0.21/0.49 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
% 4.71/3.04 # Version: 3.1.0-ho
% 4.71/3.04 # partial match(2): HMLMSLSLSSSCHFA
% 4.71/3.04 # Preprocessing class: HMLLSLLLSSSCHFA.
% 4.71/3.04 # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 4.71/3.04 # Starting new_ho_2 with 1196s (4) cores
% 4.71/3.04 # Starting sh3l with 598s (2) cores
% 4.71/3.04 # Starting lpo5_rw_fix with 299s (1) cores
% 4.71/3.04 # Starting full_lambda_7 with 299s (1) cores
% 4.71/3.04 # lpo5_rw_fix with pid 2671 completed with status 0
% 4.71/3.04 # Result found by lpo5_rw_fix
% 4.71/3.04 # partial match(2): HMLMSLSLSSSCHFA
% 4.71/3.04 # Preprocessing class: HMLLSLLLSSSCHFA.
% 4.71/3.04 # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 4.71/3.04 # Starting new_ho_2 with 1196s (4) cores
% 4.71/3.04 # Starting sh3l with 598s (2) cores
% 4.71/3.04 # Starting lpo5_rw_fix with 299s (1) cores
% 4.71/3.04 # SinE strategy is gf120_gu_RUU_F100_L01000
% 4.71/3.04 # Search class: HGHSM-SMLM33-DHFFFFBC
% 4.71/3.04 # partial match(1): HGHSM-SMLM32-DHFFFFBC
% 4.71/3.04 # Scheduled 6 strats onto 1 cores with 299 seconds (299 total)
% 4.71/3.04 # Starting new_ho_6 with 160s (1) cores
% 4.71/3.04 # new_ho_6 with pid 2673 completed with status 0
% 4.71/3.04 # Result found by new_ho_6
% 4.71/3.04 # partial match(2): HMLMSLSLSSSCHFA
% 4.71/3.04 # Preprocessing class: HMLLSLLLSSSCHFA.
% 4.71/3.04 # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 4.71/3.04 # Starting new_ho_2 with 1196s (4) cores
% 4.71/3.04 # Starting sh3l with 598s (2) cores
% 4.71/3.04 # Starting lpo5_rw_fix with 299s (1) cores
% 4.71/3.04 # SinE strategy is gf120_gu_RUU_F100_L01000
% 4.71/3.04 # Search class: HGHSM-SMLM33-DHFFFFBC
% 4.71/3.04 # partial match(1): HGHSM-SMLM32-DHFFFFBC
% 4.71/3.04 # Scheduled 6 strats onto 1 cores with 299 seconds (299 total)
% 4.71/3.04 # Starting new_ho_6 with 160s (1) cores
% 4.71/3.04 # Preprocessing time : 0.111 s
% 4.71/3.04
% 4.71/3.04 # Proof found!
% 4.71/3.04 # SZS status Theorem
% 4.71/3.04 # SZS output start CNFRefutation
% See solution above
% 4.71/3.04 # Parsed axioms : 25243
% 4.71/3.04 # Removed by relevancy pruning/SinE : 24242
% 4.71/3.04 # Initial clauses : 2196
% 4.71/3.04 # Removed in clause preprocessing : 204
% 4.71/3.04 # Initial clauses in saturation : 1992
% 4.71/3.04 # Processed clauses : 1
% 4.71/3.04 # ...of these trivial : 0
% 4.71/3.04 # ...subsumed : 0
% 4.71/3.04 # ...remaining for further processing : 0
% 4.71/3.04 # Other redundant clauses eliminated : 0
% 4.71/3.04 # Clauses deleted for lack of memory : 0
% 4.71/3.04 # Backward-subsumed : 0
% 4.71/3.04 # Backward-rewritten : 0
% 4.71/3.04 # Generated clauses : 0
% 4.71/3.04 # ...of the previous two non-redundant : 0
% 4.71/3.04 # ...aggressively subsumed : 0
% 4.71/3.04 # Contextual simplify-reflections : 0
% 4.71/3.04 # Paramodulations : 0
% 4.71/3.04 # Factorizations : 0
% 4.71/3.04 # NegExts : 0
% 4.71/3.04 # Equation resolutions : 0
% 4.71/3.04 # Disequality decompositions : 0
% 4.71/3.04 # Total rewrite steps : 0
% 4.71/3.04 # ...of those cached : 0
% 4.71/3.04 # Propositional unsat checks : 0
% 4.71/3.04 # Propositional check models : 0
% 4.71/3.04 # Propositional check unsatisfiable : 0
% 4.71/3.04 # Propositional clauses : 0
% 4.71/3.04 # Propositional clauses after purity: 0
% 4.71/3.04 # Propositional unsat core size : 0
% 4.71/3.04 # Propositional preprocessing time : 0.000
% 4.71/3.04 # Propositional encoding time : 0.000
% 4.71/3.04 # Propositional solver time : 0.000
% 4.71/3.04 # Success case prop preproc time : 0.000
% 4.71/3.04 # Success case prop encoding time : 0.000
% 4.71/3.04 # Success case prop solver time : 0.000
% 4.71/3.04 # Current number of processed clauses : 0
% 4.71/3.04 # Positive orientable unit clauses : 0
% 4.71/3.04 # Positive unorientable unit clauses: 0
% 4.71/3.04 # Negative unit clauses : 0
% 4.71/3.04 # Non-unit-clauses : 0
% 4.71/3.04 # Current number of unprocessed clauses: 1991
% 4.71/3.04 # ...number of literals in the above : 4988
% 4.71/3.04 # Current number of archived formulas : 0
% 4.71/3.04 # Current number of archived clauses : 0
% 4.71/3.04 # Clause-clause subsumption calls (NU) : 0
% 4.71/3.04 # Rec. Clause-clause subsumption calls : 0
% 4.71/3.04 # Non-unit clause-clause subsumptions : 0
% 4.71/3.04 # Unit Clause-clause subsumption calls : 0
% 4.71/3.04 # Rewrite failures with RHS unbound : 0
% 4.71/3.04 # BW rewrite match attempts : 0
% 4.71/3.04 # BW rewrite match successes : 0
% 4.71/3.04 # Condensation attempts : 1
% 4.71/3.04 # Condensation successes : 0
% 4.71/3.04 # Termbank termtop insertions : 1304089
% 4.71/3.04 # Search garbage collected termcells : 270525
% 4.71/3.04
% 4.71/3.04 # -------------------------------------------------
% 4.71/3.04 # User time : 0.489 s
% 4.71/3.04 # System time : 0.103 s
% 4.71/3.04 # Total time : 0.592 s
% 4.71/3.04 # Maximum resident set size: 61696 pages
% 4.71/3.04
% 4.71/3.04 # -------------------------------------------------
% 4.71/3.04 # User time : 2.361 s
% 4.71/3.04 # System time : 0.155 s
% 4.71/3.04 # Total time : 2.515 s
% 4.71/3.04 # Maximum resident set size: 52572 pages
% 4.71/3.04 % E---3.1 exiting
% 4.71/3.04 % E exiting
%------------------------------------------------------------------------------