TSTP Solution File: NUM640^1 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : NUM640^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n006.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 08:55:53 EDT 2024
% Result : Theorem 0.16s 0.42s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 13 ( 8 unt; 5 typ; 0 def)
% Number of atoms : 8 ( 7 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 45 ( 3 ~; 0 |; 0 &; 42 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 6 ( 0 ^ 6 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
nat: $tType ).
thf(decl_22,type,
x: nat ).
thf(decl_23,type,
y: nat ).
thf(decl_24,type,
suc: nat > nat ).
thf(decl_25,type,
pl: nat > nat > nat ).
thf(satz4f,conjecture,
( ( suc @ ( pl @ x @ y ) )
= ( pl @ x @ ( suc @ y ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.nW3wbPRzqO/E---3.1_9540.p',satz4f) ).
thf(satz4b,axiom,
! [X1: nat,X2: nat] :
( ( pl @ X1 @ ( suc @ X2 ) )
= ( suc @ ( pl @ X1 @ X2 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.nW3wbPRzqO/E---3.1_9540.p',satz4b) ).
thf(c_0_2,negated_conjecture,
( ( suc @ ( pl @ x @ y ) )
!= ( pl @ x @ ( suc @ y ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[satz4f])]) ).
thf(c_0_3,negated_conjecture,
( ( suc @ ( pl @ x @ y ) )
!= ( pl @ x @ ( suc @ y ) ) ),
inference(fof_nnf,[status(thm)],[c_0_2]) ).
thf(c_0_4,plain,
! [X5: nat,X6: nat] :
( ( pl @ X5 @ ( suc @ X6 ) )
= ( suc @ ( pl @ X5 @ X6 ) ) ),
inference(variable_rename,[status(thm)],[satz4b]) ).
thf(c_0_5,negated_conjecture,
( ( suc @ ( pl @ x @ y ) )
!= ( pl @ x @ ( suc @ y ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_6,plain,
! [X1: nat,X2: nat] :
( ( pl @ X1 @ ( suc @ X2 ) )
= ( suc @ ( pl @ X1 @ X2 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_7,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_6])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : NUM640^1 : TPTP v8.1.2. Released v3.7.0.
% 0.02/0.10 % Command : run_E %s %d THM
% 0.10/0.30 % Computer : n006.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Fri May 3 09:31:04 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.41 Running higher-order theorem proving
% 0.16/0.41 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/tmp/tmp.nW3wbPRzqO/E---3.1_9540.p
% 0.16/0.42 # Version: 3.1.0-ho
% 0.16/0.42 # Preprocessing class: HSSSSMSSSSSNFFN.
% 0.16/0.42 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.42 # Starting new_ho_10 with 1500s (5) cores
% 0.16/0.42 # Starting ho_unfolding_6 with 300s (1) cores
% 0.16/0.42 # Starting sh4l with 300s (1) cores
% 0.16/0.42 # Starting ehoh_best_nonlift_rwall with 300s (1) cores
% 0.16/0.42 # ho_unfolding_6 with pid 9620 completed with status 0
% 0.16/0.42 # Result found by ho_unfolding_6
% 0.16/0.42 # Preprocessing class: HSSSSMSSSSSNFFN.
% 0.16/0.42 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.42 # Starting new_ho_10 with 1500s (5) cores
% 0.16/0.42 # Starting ho_unfolding_6 with 300s (1) cores
% 0.16/0.42 # No SInE strategy applied
% 0.16/0.42 # Search class: HUUPF-FFSF21-SFFFFFNN
% 0.16/0.42 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.42 # Starting new_ho_10 with 163s (1) cores
% 0.16/0.42 # new_ho_10 with pid 9624 completed with status 0
% 0.16/0.42 # Result found by new_ho_10
% 0.16/0.42 # Preprocessing class: HSSSSMSSSSSNFFN.
% 0.16/0.42 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.42 # Starting new_ho_10 with 1500s (5) cores
% 0.16/0.42 # Starting ho_unfolding_6 with 300s (1) cores
% 0.16/0.42 # No SInE strategy applied
% 0.16/0.42 # Search class: HUUPF-FFSF21-SFFFFFNN
% 0.16/0.42 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.42 # Starting new_ho_10 with 163s (1) cores
% 0.16/0.42 # Preprocessing time : 0.001 s
% 0.16/0.42 # Presaturation interreduction done
% 0.16/0.42
% 0.16/0.42 # Proof found!
% 0.16/0.42 # SZS status Theorem
% 0.16/0.42 # SZS output start CNFRefutation
% See solution above
% 0.16/0.42 # Parsed axioms : 7
% 0.16/0.42 # Removed by relevancy pruning/SinE : 0
% 0.16/0.42 # Initial clauses : 7
% 0.16/0.42 # Removed in clause preprocessing : 5
% 0.16/0.42 # Initial clauses in saturation : 2
% 0.16/0.42 # Processed clauses : 2
% 0.16/0.42 # ...of these trivial : 0
% 0.16/0.42 # ...subsumed : 0
% 0.16/0.42 # ...remaining for further processing : 2
% 0.16/0.42 # Other redundant clauses eliminated : 0
% 0.16/0.42 # Clauses deleted for lack of memory : 0
% 0.16/0.42 # Backward-subsumed : 0
% 0.16/0.42 # Backward-rewritten : 1
% 0.16/0.42 # Generated clauses : 0
% 0.16/0.42 # ...of the previous two non-redundant : 0
% 0.16/0.42 # ...aggressively subsumed : 0
% 0.16/0.42 # Contextual simplify-reflections : 0
% 0.16/0.42 # Paramodulations : 0
% 0.16/0.42 # Factorizations : 0
% 0.16/0.42 # NegExts : 0
% 0.16/0.42 # Equation resolutions : 0
% 0.16/0.42 # Disequality decompositions : 0
% 0.16/0.42 # Total rewrite steps : 1
% 0.16/0.42 # ...of those cached : 0
% 0.16/0.42 # Propositional unsat checks : 0
% 0.16/0.42 # Propositional check models : 0
% 0.16/0.42 # Propositional check unsatisfiable : 0
% 0.16/0.42 # Propositional clauses : 0
% 0.16/0.42 # Propositional clauses after purity: 0
% 0.16/0.42 # Propositional unsat core size : 0
% 0.16/0.42 # Propositional preprocessing time : 0.000
% 0.16/0.42 # Propositional encoding time : 0.000
% 0.16/0.42 # Propositional solver time : 0.000
% 0.16/0.42 # Success case prop preproc time : 0.000
% 0.16/0.42 # Success case prop encoding time : 0.000
% 0.16/0.42 # Success case prop solver time : 0.000
% 0.16/0.42 # Current number of processed clauses : 1
% 0.16/0.42 # Positive orientable unit clauses : 1
% 0.16/0.42 # Positive unorientable unit clauses: 0
% 0.16/0.42 # Negative unit clauses : 0
% 0.16/0.42 # Non-unit-clauses : 0
% 0.16/0.42 # Current number of unprocessed clauses: 0
% 0.16/0.42 # ...number of literals in the above : 0
% 0.16/0.42 # Current number of archived formulas : 0
% 0.16/0.42 # Current number of archived clauses : 1
% 0.16/0.42 # Clause-clause subsumption calls (NU) : 0
% 0.16/0.42 # Rec. Clause-clause subsumption calls : 0
% 0.16/0.42 # Non-unit clause-clause subsumptions : 0
% 0.16/0.42 # Unit Clause-clause subsumption calls : 0
% 0.16/0.42 # Rewrite failures with RHS unbound : 0
% 0.16/0.42 # BW rewrite match attempts : 1
% 0.16/0.42 # BW rewrite match successes : 1
% 0.16/0.42 # Condensation attempts : 2
% 0.16/0.42 # Condensation successes : 0
% 0.16/0.42 # Termbank termtop insertions : 170
% 0.16/0.42 # Search garbage collected termcells : 11
% 0.16/0.42
% 0.16/0.42 # -------------------------------------------------
% 0.16/0.42 # User time : 0.002 s
% 0.16/0.42 # System time : 0.001 s
% 0.16/0.42 # Total time : 0.003 s
% 0.16/0.42 # Maximum resident set size: 1636 pages
% 0.16/0.42
% 0.16/0.42 # -------------------------------------------------
% 0.16/0.42 # User time : 0.003 s
% 0.16/0.42 # System time : 0.003 s
% 0.16/0.42 # Total time : 0.005 s
% 0.16/0.42 # Maximum resident set size: 1708 pages
% 0.16/0.42 % E---3.1 exiting
% 0.16/0.42 % E exiting
%------------------------------------------------------------------------------