TSTP Solution File: NUM713_8 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : NUM713_8 : TPTP v8.1.2. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n026.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 18:57:14 EDT 2023
% Result : Theorem 0.20s 0.49s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of formulae : 23 ( 17 unt; 6 typ; 0 def)
% Number of atoms : 17 ( 16 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 10 ( 10 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 0 ( 0 usr)
% Number of type conns : 4 ( 2 >; 2 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 26 ( 0 sgn; 26 !; 0 ?; 26 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
x: nat ).
tff(decl_23,type,
y: nat ).
tff(decl_24,type,
z: nat ).
tff(decl_25,type,
pl: ( nat * nat ) > nat ).
tff(decl_26,type,
ts: ( nat * nat ) > nat ).
tff(decl_27,type,
esk1_0: nat ).
tff(satz32a,conjecture,
~ ! [X1: nat] : ( ts(x,z) != pl(ts(y,z),X1) ),
file('/export/starexec/sandbox/tmp/tmp.vHnGJOa9oq/E---3.1_338.p',satz32a) ).
tff(satz30,axiom,
! [X3: nat,X4: nat,X5: nat] : ( ts(X3,pl(X4,X5)) = pl(ts(X3,X4),ts(X3,X5)) ),
file('/export/starexec/sandbox/tmp/tmp.vHnGJOa9oq/E---3.1_338.p',satz30) ).
tff(satz29,axiom,
! [X3: nat,X4: nat] : ( ts(X3,X4) = ts(X4,X3) ),
file('/export/starexec/sandbox/tmp/tmp.vHnGJOa9oq/E---3.1_338.p',satz29) ).
tff(m,axiom,
~ ! [X1: nat] : ( x != pl(y,X1) ),
file('/export/starexec/sandbox/tmp/tmp.vHnGJOa9oq/E---3.1_338.p',m) ).
tff(c_0_4,negated_conjecture,
~ ~ ! [X1: nat] : ( ts(x,z) != pl(ts(y,z),X1) ),
inference(assume_negation,[status(cth)],[satz32a]) ).
tff(c_0_5,plain,
! [X8: nat,X9: nat,X10: nat] : ( ts(X8,pl(X9,X10)) = pl(ts(X8,X9),ts(X8,X10)) ),
inference(variable_rename,[status(thm)],[satz30]) ).
tff(c_0_6,plain,
! [X11: nat,X12: nat] : ( ts(X11,X12) = ts(X12,X11) ),
inference(variable_rename,[status(thm)],[satz29]) ).
tff(c_0_7,negated_conjecture,
! [X6: nat] : ( ts(x,z) != pl(ts(y,z),X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])]) ).
tcf(c_0_8,plain,
! [X1: nat,X3: nat,X4: nat] : ts(X1,pl(X3,X4)) = pl(ts(X1,X3),ts(X1,X4)),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
tcf(c_0_9,plain,
! [X3: nat,X1: nat] : ts(X1,X3) = ts(X3,X1),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_10,negated_conjecture,
! [X1: nat] : ts(x,z) != pl(ts(y,z),X1),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
tcf(c_0_11,plain,
! [X1: nat,X3: nat,X4: nat] : pl(ts(X1,X3),ts(X3,X4)) = ts(X3,pl(X1,X4)),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
tff(c_0_12,plain,
x = pl(y,esk1_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m])])]) ).
tcf(c_0_13,negated_conjecture,
! [X1: nat] : ts(z,pl(y,X1)) != ts(x,z),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
tcf(c_0_14,plain,
x = pl(y,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
tcf(c_0_15,plain,
! [X3: nat,X1: nat] : ts(X1,X3) = ts(X3,X1),
c_0_9 ).
cnf(c_0_16,negated_conjecture,
$false,
inference(ar,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM713_8 : TPTP v8.1.2. Released v8.0.0.
% 0.11/0.13 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 2400
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Oct 2 14:09:44 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 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.vHnGJOa9oq/E---3.1_338.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 # sh5l with pid 425 completed with status 0
% 0.20/0.49 # Result found by sh5l
% 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 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.20/0.49 # Search class: FUUPS-FFSF22-SFFFFFNN
% 0.20/0.49 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.49 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 181s (1) cores
% 0.20/0.49 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 431 completed with status 0
% 0.20/0.49 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 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 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.20/0.49 # Search class: FUUPS-FFSF22-SFFFFFNN
% 0.20/0.49 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.49 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y 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 : 11
% 0.20/0.49 # Removed by relevancy pruning/SinE : 7
% 0.20/0.49 # Initial clauses : 4
% 0.20/0.49 # Removed in clause preprocessing : 0
% 0.20/0.49 # Initial clauses in saturation : 4
% 0.20/0.49 # Processed clauses : 14
% 0.20/0.49 # ...of these trivial : 1
% 0.20/0.49 # ...subsumed : 1
% 0.20/0.49 # ...remaining for further processing : 12
% 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 : 0
% 0.20/0.49 # Generated clauses : 17
% 0.20/0.49 # ...of the previous two non-redundant : 12
% 0.20/0.49 # ...aggressively subsumed : 0
% 0.20/0.49 # Contextual simplify-reflections : 0
% 0.20/0.49 # Paramodulations : 17
% 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 : 5
% 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 : 8
% 0.20/0.49 # Positive orientable unit clauses : 4
% 0.20/0.49 # Positive unorientable unit clauses: 1
% 0.20/0.49 # Negative unit clauses : 3
% 0.20/0.49 # Non-unit-clauses : 0
% 0.20/0.49 # Current number of unprocessed clauses: 6
% 0.20/0.49 # ...number of literals in the above : 6
% 0.20/0.49 # Current number of archived formulas : 0
% 0.20/0.49 # Current number of archived clauses : 4
% 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 : 3
% 0.20/0.49 # Rewrite failures with RHS unbound : 0
% 0.20/0.49 # BW rewrite match attempts : 11
% 0.20/0.49 # BW rewrite match successes : 8
% 0.20/0.49 # Condensation attempts : 0
% 0.20/0.49 # Condensation successes : 0
% 0.20/0.49 # Termbank termtop insertions : 386
% 0.20/0.49
% 0.20/0.49 # -------------------------------------------------
% 0.20/0.49 # User time : 0.004 s
% 0.20/0.49 # System time : 0.000 s
% 0.20/0.49 # Total time : 0.004 s
% 0.20/0.49 # Maximum resident set size: 1608 pages
% 0.20/0.49
% 0.20/0.49 # -------------------------------------------------
% 0.20/0.49 # User time : 0.007 s
% 0.20/0.49 # System time : 0.001 s
% 0.20/0.49 # Total time : 0.008 s
% 0.20/0.49 # Maximum resident set size: 1704 pages
% 0.20/0.49 % E---3.1 exiting
% 0.20/0.49 % E---3.1 exiting
%------------------------------------------------------------------------------