TSTP Solution File: NUM784_8 by E-SAT---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : NUM784_8 : TPTP v8.1.2. Released v8.0.0.
% 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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:08:31 EDT 2023
% Result : Theorem 0.20s 0.49s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 19 ( 5 unt; 5 typ; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 48 ( 27 ~; 7 |; 2 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 5 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 10 ( 0 sgn; 10 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
x0: rat ).
tff(decl_23,type,
y0: rat ).
tff(decl_24,type,
more: ( rat * rat ) > $o ).
tff(decl_25,type,
is: ( rat * rat ) > $o ).
tff(decl_26,type,
less: ( rat * rat ) > $o ).
tff(satz81b,axiom,
! [X2: rat,X3: rat] :
~ ( ( is(X2,X3)
=> ~ more(X2,X3) )
=> ~ ~ ( ( more(X2,X3)
=> ~ less(X2,X3) )
=> ~ ( less(X2,X3)
=> ~ is(X2,X3) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.ryqwg4LqdO/E---3.1_18170.p',satz81b) ).
tff(m,axiom,
( ~ more(x0,y0)
=> is(x0,y0) ),
file('/export/starexec/sandbox2/tmp/tmp.ryqwg4LqdO/E---3.1_18170.p',m) ).
tff(satz81c,conjecture,
~ less(x0,y0),
file('/export/starexec/sandbox2/tmp/tmp.ryqwg4LqdO/E---3.1_18170.p',satz81c) ).
tff(c_0_3,plain,
! [X2: rat,X3: rat] :
~ ( ( is(X2,X3)
=> ~ more(X2,X3) )
=> ~ ~ ( ( more(X2,X3)
=> ~ less(X2,X3) )
=> ~ ( less(X2,X3)
=> ~ is(X2,X3) ) ) ),
inference(fof_simplification,[status(thm)],[satz81b]) ).
tff(c_0_4,plain,
( ~ more(x0,y0)
=> is(x0,y0) ),
inference(fof_simplification,[status(thm)],[m]) ).
tff(c_0_5,plain,
! [X4: rat,X5: rat] :
( ( ~ is(X4,X5)
| ~ more(X4,X5) )
& ( ~ more(X4,X5)
| ~ less(X4,X5) )
& ( ~ less(X4,X5)
| ~ is(X4,X5) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])]) ).
tff(c_0_6,plain,
( more(x0,y0)
| is(x0,y0) ),
inference(fof_nnf,[status(thm)],[c_0_4]) ).
tff(c_0_7,negated_conjecture,
less(x0,y0),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[satz81c])]) ).
tcf(c_0_8,plain,
! [X2: rat,X3: rat] :
( ~ less(X2,X3)
| ~ is(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
tcf(c_0_9,plain,
( more(x0,y0)
| is(x0,y0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_10,negated_conjecture,
less(x0,y0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
tcf(c_0_11,plain,
! [X2: rat,X3: rat] :
( ~ more(X2,X3)
| ~ less(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
tcf(c_0_12,plain,
more(x0,y0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10])]) ).
cnf(c_0_13,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_10])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM784_8 : TPTP v8.1.2. Released v8.0.0.
% 0.12/0.14 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 2400
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Oct 2 15:20:51 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running first-order model finding
% 0.20/0.48 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.ryqwg4LqdO/E---3.1_18170.p
% 0.20/0.49 # Version: 3.1pre001
% 0.20/0.49 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.20/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.20/0.49 # Starting new_bool_3 with 300s (1) cores
% 0.20/0.49 # Starting new_bool_1 with 300s (1) cores
% 0.20/0.49 # Starting sh5l with 300s (1) cores
% 0.20/0.49 # new_bool_3 with pid 18323 completed with status 0
% 0.20/0.49 # Result found by new_bool_3
% 0.20/0.49 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.20/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.20/0.49 # Starting new_bool_3 with 300s (1) cores
% 0.20/0.49 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.49 # Search class: FGHNF-FFSF00-SFFFFFNN
% 0.20/0.49 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.49 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.20/0.49 # SAT001_MinMin_p005000_rr_RG with pid 18330 completed with status 0
% 0.20/0.49 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.20/0.49 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.20/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.20/0.49 # Starting new_bool_3 with 300s (1) cores
% 0.20/0.49 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.49 # Search class: FGHNF-FFSF00-SFFFFFNN
% 0.20/0.49 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.49 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.20/0.49 # Preprocessing time : 0.001 s
% 0.20/0.49 # Presaturation interreduction done
% 0.20/0.49
% 0.20/0.49 # Proof found!
% 0.20/0.49 # SZS status Theorem
% 0.20/0.49 # SZS output start CNFRefutation
% See solution above
% 0.20/0.49 # Parsed axioms : 10
% 0.20/0.49 # Removed by relevancy pruning/SinE : 7
% 0.20/0.49 # Initial clauses : 5
% 0.20/0.49 # Removed in clause preprocessing : 0
% 0.20/0.49 # Initial clauses in saturation : 5
% 0.20/0.49 # Processed clauses : 11
% 0.20/0.49 # ...of these trivial : 0
% 0.20/0.49 # ...subsumed : 0
% 0.20/0.49 # ...remaining for further processing : 11
% 0.20/0.49 # Other redundant clauses eliminated : 0
% 0.20/0.49 # Clauses deleted for lack of memory : 0
% 0.20/0.49 # Backward-subsumed : 0
% 0.20/0.49 # Backward-rewritten : 1
% 0.20/0.49 # Generated clauses : 3
% 0.20/0.49 # ...of the previous two non-redundant : 1
% 0.20/0.49 # ...aggressively subsumed : 0
% 0.20/0.49 # Contextual simplify-reflections : 0
% 0.20/0.49 # Paramodulations : 3
% 0.20/0.49 # Factorizations : 0
% 0.20/0.49 # NegExts : 0
% 0.20/0.49 # Equation resolutions : 0
% 0.20/0.49 # Total rewrite steps : 3
% 0.20/0.49 # Propositional unsat checks : 0
% 0.20/0.49 # Propositional check models : 0
% 0.20/0.49 # Propositional check unsatisfiable : 0
% 0.20/0.49 # Propositional clauses : 0
% 0.20/0.49 # Propositional clauses after purity: 0
% 0.20/0.49 # Propositional unsat core size : 0
% 0.20/0.49 # Propositional preprocessing time : 0.000
% 0.20/0.49 # Propositional encoding time : 0.000
% 0.20/0.49 # Propositional solver time : 0.000
% 0.20/0.49 # Success case prop preproc time : 0.000
% 0.20/0.49 # Success case prop encoding time : 0.000
% 0.20/0.49 # Success case prop solver time : 0.000
% 0.20/0.49 # Current number of processed clauses : 5
% 0.20/0.49 # Positive orientable unit clauses : 2
% 0.20/0.49 # Positive unorientable unit clauses: 0
% 0.20/0.49 # Negative unit clauses : 0
% 0.20/0.49 # Non-unit-clauses : 3
% 0.20/0.49 # Current number of unprocessed clauses: 0
% 0.20/0.49 # ...number of literals in the above : 0
% 0.20/0.49 # Current number of archived formulas : 0
% 0.20/0.49 # Current number of archived clauses : 6
% 0.20/0.49 # Clause-clause subsumption calls (NU) : 0
% 0.20/0.49 # Rec. Clause-clause subsumption calls : 0
% 0.20/0.49 # Non-unit clause-clause subsumptions : 0
% 0.20/0.49 # Unit Clause-clause subsumption calls : 0
% 0.20/0.49 # Rewrite failures with RHS unbound : 0
% 0.20/0.49 # BW rewrite match attempts : 1
% 0.20/0.49 # BW rewrite match successes : 1
% 0.20/0.49 # Condensation attempts : 0
% 0.20/0.49 # Condensation successes : 0
% 0.20/0.49 # Termbank termtop insertions : 339
% 0.20/0.49
% 0.20/0.49 # -------------------------------------------------
% 0.20/0.49 # User time : 0.002 s
% 0.20/0.49 # System time : 0.002 s
% 0.20/0.49 # Total time : 0.005 s
% 0.20/0.49 # Maximum resident set size: 1592 pages
% 0.20/0.49
% 0.20/0.49 # -------------------------------------------------
% 0.20/0.49 # User time : 0.005 s
% 0.20/0.49 # System time : 0.003 s
% 0.20/0.49 # Total time : 0.008 s
% 0.20/0.49 # Maximum resident set size: 1692 pages
% 0.20/0.49 % E---3.1 exiting
%------------------------------------------------------------------------------