TSTP Solution File: NUM657_8 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : NUM657_8 : TPTP v8.1.2. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n008.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 18:56:54 EDT 2023
% Result : Theorem 0.27s 0.56s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 19 ( 6 unt; 4 typ; 0 def)
% Number of atoms : 36 ( 12 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 52 ( 31 ~; 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 : 4 ( 2 >; 2 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 11 ( 0 sgn; 11 !; 0 ?; 11 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
x: nat ).
tff(decl_23,type,
y: nat ).
tff(decl_24,type,
less: ( nat * nat ) > $o ).
tff(decl_25,type,
more: ( nat * nat ) > $o ).
tff(satz10b,axiom,
! [X2: nat,X3: nat] :
~ ( ( ( X2 = X3 )
=> ~ more(X2,X3) )
=> ~ ~ ( ( more(X2,X3)
=> ~ less(X2,X3) )
=> ~ ( less(X2,X3)
=> ( X2 != X3 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.koHsVAP6DE/E---3.1_10872.p',satz10b) ).
tff(satz10h,conjecture,
~ ( ~ more(x,y)
=> ( x = y ) ),
file('/export/starexec/sandbox/tmp/tmp.koHsVAP6DE/E---3.1_10872.p',satz10h) ).
tff(l,axiom,
less(x,y),
file('/export/starexec/sandbox/tmp/tmp.koHsVAP6DE/E---3.1_10872.p',l) ).
tff(c_0_3,plain,
! [X2: nat,X3: nat] :
~ ( ( ( X2 = X3 )
=> ~ more(X2,X3) )
=> ~ ~ ( ( more(X2,X3)
=> ~ less(X2,X3) )
=> ~ ( less(X2,X3)
=> ( X2 != X3 ) ) ) ),
inference(fof_simplification,[status(thm)],[satz10b]) ).
tff(c_0_4,negated_conjecture,
~ ~ ( ~ more(x,y)
=> ( x = y ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[satz10h])]) ).
tff(c_0_5,plain,
! [X4: nat,X5: nat] :
( ( ( X4 != X5 )
| ~ more(X4,X5) )
& ( ~ more(X4,X5)
| ~ less(X4,X5) )
& ( ~ less(X4,X5)
| ( X4 != X5 ) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])]) ).
tff(c_0_6,negated_conjecture,
( more(x,y)
| ( x = y ) ),
inference(fof_nnf,[status(thm)],[c_0_4]) ).
tcf(c_0_7,plain,
! [X2: nat,X3: nat] :
( ~ more(X2,X3)
| ~ less(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
tcf(c_0_8,plain,
less(x,y),
inference(split_conjunct,[status(thm)],[l]) ).
tcf(c_0_9,negated_conjecture,
( more(x,y)
| ( x = y ) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_10,plain,
~ more(x,y),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
tcf(c_0_11,plain,
! [X2: nat,X3: nat] :
( ~ less(X2,X3)
| ( X2 != X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
tcf(c_0_12,negated_conjecture,
x = y,
inference(sr,[status(thm)],[c_0_9,c_0_10]) ).
tcf(c_0_13,plain,
! [X2: nat] : ~ less(X2,X2),
inference(er,[status(thm)],[c_0_11]) ).
cnf(c_0_14,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_12]),c_0_13]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.19 % Problem : NUM657_8 : TPTP v8.1.2. Released v8.0.0.
% 0.10/0.20 % Command : run_E %s %d THM
% 0.12/0.40 % Computer : n008.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8042.1875MB
% 0.12/0.40 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.40 % CPULimit : 2400
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Mon Oct 2 13:15:13 EDT 2023
% 0.12/0.40 % CPUTime :
% 0.26/0.55 Running first-order theorem proving
% 0.26/0.55 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.koHsVAP6DE/E---3.1_10872.p
% 0.27/0.56 # Version: 3.1pre001
% 0.27/0.56 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.27/0.56 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.56 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.27/0.56 # Starting new_bool_3 with 300s (1) cores
% 0.27/0.56 # Starting new_bool_1 with 300s (1) cores
% 0.27/0.56 # Starting sh5l with 300s (1) cores
% 0.27/0.56 # sh5l with pid 10954 completed with status 0
% 0.27/0.56 # Result found by sh5l
% 0.27/0.56 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.27/0.56 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.56 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.27/0.56 # Starting new_bool_3 with 300s (1) cores
% 0.27/0.56 # Starting new_bool_1 with 300s (1) cores
% 0.27/0.56 # Starting sh5l with 300s (1) cores
% 0.27/0.56 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.27/0.56 # Search class: FGHSF-FFSF00-SFFFFFNN
% 0.27/0.56 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.27/0.56 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mA with 181s (1) cores
% 0.27/0.56 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mA with pid 10956 completed with status 0
% 0.27/0.56 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mA
% 0.27/0.56 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.27/0.56 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.56 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.27/0.56 # Starting new_bool_3 with 300s (1) cores
% 0.27/0.56 # Starting new_bool_1 with 300s (1) cores
% 0.27/0.56 # Starting sh5l with 300s (1) cores
% 0.27/0.56 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.27/0.56 # Search class: FGHSF-FFSF00-SFFFFFNN
% 0.27/0.56 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.27/0.56 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mA with 181s (1) cores
% 0.27/0.56 # Preprocessing time : 0.001 s
% 0.27/0.56 # Presaturation interreduction done
% 0.27/0.56
% 0.27/0.56 # Proof found!
% 0.27/0.56 # SZS status Theorem
% 0.27/0.56 # SZS output start CNFRefutation
% See solution above
% 0.27/0.56 # Parsed axioms : 9
% 0.27/0.56 # Removed by relevancy pruning/SinE : 6
% 0.27/0.56 # Initial clauses : 5
% 0.27/0.56 # Removed in clause preprocessing : 0
% 0.27/0.56 # Initial clauses in saturation : 5
% 0.27/0.56 # Processed clauses : 13
% 0.27/0.56 # ...of these trivial : 0
% 0.27/0.56 # ...subsumed : 0
% 0.27/0.56 # ...remaining for further processing : 13
% 0.27/0.56 # Other redundant clauses eliminated : 2
% 0.27/0.56 # Clauses deleted for lack of memory : 0
% 0.27/0.56 # Backward-subsumed : 0
% 0.27/0.56 # Backward-rewritten : 2
% 0.27/0.56 # Generated clauses : 3
% 0.27/0.56 # ...of the previous two non-redundant : 4
% 0.27/0.56 # ...aggressively subsumed : 0
% 0.27/0.56 # Contextual simplify-reflections : 0
% 0.27/0.56 # Paramodulations : 1
% 0.27/0.56 # Factorizations : 0
% 0.27/0.56 # NegExts : 0
% 0.27/0.56 # Equation resolutions : 2
% 0.27/0.56 # Total rewrite steps : 2
% 0.27/0.56 # Propositional unsat checks : 0
% 0.27/0.56 # Propositional check models : 0
% 0.27/0.56 # Propositional check unsatisfiable : 0
% 0.27/0.56 # Propositional clauses : 0
% 0.27/0.56 # Propositional clauses after purity: 0
% 0.27/0.56 # Propositional unsat core size : 0
% 0.27/0.56 # Propositional preprocessing time : 0.000
% 0.27/0.56 # Propositional encoding time : 0.000
% 0.27/0.56 # Propositional solver time : 0.000
% 0.27/0.56 # Success case prop preproc time : 0.000
% 0.27/0.56 # Success case prop encoding time : 0.000
% 0.27/0.56 # Success case prop solver time : 0.000
% 0.27/0.56 # Current number of processed clauses : 4
% 0.27/0.56 # Positive orientable unit clauses : 1
% 0.27/0.56 # Positive unorientable unit clauses: 0
% 0.27/0.56 # Negative unit clauses : 2
% 0.27/0.56 # Non-unit-clauses : 1
% 0.27/0.56 # Current number of unprocessed clauses: 0
% 0.27/0.56 # ...number of literals in the above : 0
% 0.27/0.56 # Current number of archived formulas : 0
% 0.27/0.56 # Current number of archived clauses : 7
% 0.27/0.56 # Clause-clause subsumption calls (NU) : 0
% 0.27/0.56 # Rec. Clause-clause subsumption calls : 0
% 0.27/0.56 # Non-unit clause-clause subsumptions : 0
% 0.27/0.56 # Unit Clause-clause subsumption calls : 2
% 0.27/0.56 # Rewrite failures with RHS unbound : 0
% 0.27/0.56 # BW rewrite match attempts : 1
% 0.27/0.56 # BW rewrite match successes : 1
% 0.27/0.56 # Condensation attempts : 0
% 0.27/0.56 # Condensation successes : 0
% 0.27/0.56 # Termbank termtop insertions : 295
% 0.27/0.56
% 0.27/0.56 # -------------------------------------------------
% 0.27/0.56 # User time : 0.002 s
% 0.27/0.56 # System time : 0.002 s
% 0.27/0.56 # Total time : 0.003 s
% 0.27/0.56 # Maximum resident set size: 1584 pages
% 0.27/0.56
% 0.27/0.56 # -------------------------------------------------
% 0.27/0.56 # User time : 0.002 s
% 0.27/0.56 # System time : 0.003 s
% 0.27/0.56 # Total time : 0.005 s
% 0.27/0.56 # Maximum resident set size: 1700 pages
% 0.27/0.56 % E---3.1 exiting
% 0.27/0.56 % E---3.1 exiting
%------------------------------------------------------------------------------