TSTP Solution File: NUM736^1 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : NUM736^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n013.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 08:56:30 EDT 2024
% Result : Theorem 0.34s 0.54s
% Output : CNFRefutation 0.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 12
% Syntax : Number of formulae : 19 ( 7 unt; 9 typ; 0 def)
% Number of atoms : 13 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 80 ( 5 ~; 2 |; 0 &; 72 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 6 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 6 ( 0 ^ 6 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
frac: $tType ).
thf(decl_sort2,type,
nat: $tType ).
thf(decl_22,type,
x: frac ).
thf(decl_23,type,
y: frac ).
thf(decl_24,type,
more: nat > nat > $o ).
thf(decl_25,type,
ts: nat > nat > nat ).
thf(decl_26,type,
num: frac > nat ).
thf(decl_27,type,
den: frac > nat ).
thf(decl_28,type,
less: nat > nat > $o ).
thf(satz42,conjecture,
less @ ( ts @ ( num @ y ) @ ( den @ x ) ) @ ( ts @ ( num @ x ) @ ( den @ y ) ),
file('/export/starexec/sandbox2/tmp/tmp.3kMYpapYJy/E---3.1_15304.p',satz42) ).
thf(satz11,axiom,
! [X1: nat,X2: nat] :
( ( more @ X1 @ X2 )
=> ( less @ X2 @ X1 ) ),
file('/export/starexec/sandbox2/tmp/tmp.3kMYpapYJy/E---3.1_15304.p',satz11) ).
thf(m,axiom,
more @ ( ts @ ( num @ x ) @ ( den @ y ) ) @ ( ts @ ( num @ y ) @ ( den @ x ) ),
file('/export/starexec/sandbox2/tmp/tmp.3kMYpapYJy/E---3.1_15304.p',m) ).
thf(c_0_3,negated_conjecture,
~ ( less @ ( ts @ ( num @ y ) @ ( den @ x ) ) @ ( ts @ ( num @ x ) @ ( den @ y ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[satz42])]) ).
thf(c_0_4,negated_conjecture,
~ ( less @ ( ts @ ( num @ y ) @ ( den @ x ) ) @ ( ts @ ( num @ x ) @ ( den @ y ) ) ),
inference(fof_nnf,[status(thm)],[c_0_3]) ).
thf(c_0_5,plain,
! [X5: nat,X6: nat] :
( ~ ( more @ X5 @ X6 )
| ( less @ X6 @ X5 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[satz11])])]) ).
thf(c_0_6,negated_conjecture,
~ ( less @ ( ts @ ( num @ y ) @ ( den @ x ) ) @ ( ts @ ( num @ x ) @ ( den @ y ) ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_7,plain,
! [X1: nat,X2: nat] :
( ( less @ X2 @ X1 )
| ~ ( more @ X1 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_8,plain,
more @ ( ts @ ( num @ x ) @ ( den @ y ) ) @ ( ts @ ( num @ y ) @ ( den @ x ) ),
inference(split_conjunct,[status(thm)],[m]) ).
thf(c_0_9,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : NUM736^1 : TPTP v8.1.2. Released v3.7.0.
% 0.07/0.16 % Command : run_E %s %d THM
% 0.15/0.37 % Computer : n013.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 : Fri May 3 09:18:34 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.34/0.53 Running higher-order theorem proving
% 0.34/0.53 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.3kMYpapYJy/E---3.1_15304.p
% 0.34/0.54 # Version: 3.1.0-ho
% 0.34/0.54 # Preprocessing class: HSSSSMSSSSSNFFN.
% 0.34/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.34/0.54 # Starting new_ho_10 with 1500s (5) cores
% 0.34/0.54 # Starting ho_unfolding_6 with 300s (1) cores
% 0.34/0.54 # Starting sh4l with 300s (1) cores
% 0.34/0.54 # Starting ehoh_best_nonlift_rwall with 300s (1) cores
% 0.34/0.54 # ehoh_best_nonlift_rwall with pid 15385 completed with status 0
% 0.34/0.54 # Result found by ehoh_best_nonlift_rwall
% 0.34/0.54 # Preprocessing class: HSSSSMSSSSSNFFN.
% 0.34/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.34/0.54 # Starting new_ho_10 with 1500s (5) cores
% 0.34/0.54 # Starting ho_unfolding_6 with 300s (1) cores
% 0.34/0.54 # Starting sh4l with 300s (1) cores
% 0.34/0.54 # Starting ehoh_best_nonlift_rwall with 300s (1) cores
% 0.34/0.54 # No SInE strategy applied
% 0.34/0.54 # Search class: HHUNF-FFSF21-SFFFFFNN
% 0.34/0.54 # partial match(1): HHUNF-FFSF22-SFFFFFNN
% 0.34/0.54 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.34/0.54 # Starting new_ho_10 with 163s (1) cores
% 0.34/0.54 # new_ho_10 with pid 15386 completed with status 0
% 0.34/0.54 # Result found by new_ho_10
% 0.34/0.54 # Preprocessing class: HSSSSMSSSSSNFFN.
% 0.34/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.34/0.54 # Starting new_ho_10 with 1500s (5) cores
% 0.34/0.54 # Starting ho_unfolding_6 with 300s (1) cores
% 0.34/0.54 # Starting sh4l with 300s (1) cores
% 0.34/0.54 # Starting ehoh_best_nonlift_rwall with 300s (1) cores
% 0.34/0.54 # No SInE strategy applied
% 0.34/0.54 # Search class: HHUNF-FFSF21-SFFFFFNN
% 0.34/0.54 # partial match(1): HHUNF-FFSF22-SFFFFFNN
% 0.34/0.54 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.34/0.54 # Starting new_ho_10 with 163s (1) cores
% 0.34/0.54 # Preprocessing time : 0.001 s
% 0.34/0.54 # Presaturation interreduction done
% 0.34/0.54
% 0.34/0.54 # Proof found!
% 0.34/0.54 # SZS status Theorem
% 0.34/0.54 # SZS output start CNFRefutation
% See solution above
% 0.34/0.54 # Parsed axioms : 12
% 0.34/0.54 # Removed by relevancy pruning/SinE : 0
% 0.34/0.54 # Initial clauses : 12
% 0.34/0.54 # Removed in clause preprocessing : 9
% 0.34/0.54 # Initial clauses in saturation : 3
% 0.34/0.54 # Processed clauses : 6
% 0.34/0.54 # ...of these trivial : 0
% 0.34/0.54 # ...subsumed : 0
% 0.34/0.54 # ...remaining for further processing : 6
% 0.34/0.54 # Other redundant clauses eliminated : 0
% 0.34/0.54 # Clauses deleted for lack of memory : 0
% 0.34/0.54 # Backward-subsumed : 0
% 0.34/0.54 # Backward-rewritten : 0
% 0.34/0.54 # Generated clauses : 1
% 0.34/0.54 # ...of the previous two non-redundant : 0
% 0.34/0.54 # ...aggressively subsumed : 0
% 0.34/0.54 # Contextual simplify-reflections : 0
% 0.34/0.54 # Paramodulations : 1
% 0.34/0.54 # Factorizations : 0
% 0.34/0.54 # NegExts : 0
% 0.34/0.54 # Equation resolutions : 0
% 0.34/0.54 # Disequality decompositions : 0
% 0.34/0.54 # Total rewrite steps : 1
% 0.34/0.54 # ...of those cached : 0
% 0.34/0.54 # Propositional unsat checks : 0
% 0.34/0.54 # Propositional check models : 0
% 0.34/0.54 # Propositional check unsatisfiable : 0
% 0.34/0.54 # Propositional clauses : 0
% 0.34/0.54 # Propositional clauses after purity: 0
% 0.34/0.54 # Propositional unsat core size : 0
% 0.34/0.54 # Propositional preprocessing time : 0.000
% 0.34/0.54 # Propositional encoding time : 0.000
% 0.34/0.54 # Propositional solver time : 0.000
% 0.34/0.54 # Success case prop preproc time : 0.000
% 0.34/0.54 # Success case prop encoding time : 0.000
% 0.34/0.54 # Success case prop solver time : 0.000
% 0.34/0.54 # Current number of processed clauses : 3
% 0.34/0.54 # Positive orientable unit clauses : 1
% 0.34/0.54 # Positive unorientable unit clauses: 0
% 0.34/0.54 # Negative unit clauses : 1
% 0.34/0.54 # Non-unit-clauses : 1
% 0.34/0.54 # Current number of unprocessed clauses: 0
% 0.34/0.54 # ...number of literals in the above : 0
% 0.34/0.54 # Current number of archived formulas : 0
% 0.34/0.54 # Current number of archived clauses : 3
% 0.34/0.54 # Clause-clause subsumption calls (NU) : 0
% 0.34/0.54 # Rec. Clause-clause subsumption calls : 0
% 0.34/0.54 # Non-unit clause-clause subsumptions : 0
% 0.34/0.54 # Unit Clause-clause subsumption calls : 0
% 0.34/0.54 # Rewrite failures with RHS unbound : 0
% 0.34/0.54 # BW rewrite match attempts : 0
% 0.34/0.54 # BW rewrite match successes : 0
% 0.34/0.54 # Condensation attempts : 6
% 0.34/0.54 # Condensation successes : 0
% 0.34/0.54 # Termbank termtop insertions : 332
% 0.34/0.54 # Search garbage collected termcells : 25
% 0.34/0.54
% 0.34/0.54 # -------------------------------------------------
% 0.34/0.54 # User time : 0.003 s
% 0.34/0.54 # System time : 0.001 s
% 0.34/0.54 # Total time : 0.004 s
% 0.34/0.54 # Maximum resident set size: 1600 pages
% 0.34/0.54
% 0.34/0.54 # -------------------------------------------------
% 0.34/0.54 # User time : 0.003 s
% 0.34/0.54 # System time : 0.004 s
% 0.34/0.54 # Total time : 0.007 s
% 0.34/0.54 # Maximum resident set size: 1716 pages
% 0.34/0.54 % E---3.1 exiting
% 0.34/0.54 % E exiting
%------------------------------------------------------------------------------