TSTP Solution File: NUM670_8 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : NUM670_8 : TPTP v8.2.0. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n011.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 : Tue May 21 01:27:34 EDT 2024
% Result : Theorem 0.18s 0.45s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 24 ( 18 unt; 6 typ; 0 def)
% Number of atoms : 18 ( 17 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 13 ( 13 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 24 ( 0 sgn 24 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
nat: $tType ).
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,
esk1_0: nat ).
tff(satz19a,conjecture,
~ ! [X1: nat] : ( pl(x,z) != pl(pl(y,z),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz19a) ).
tff(satz5,axiom,
! [X3: nat,X4: nat,X5: nat] : ( pl(pl(X3,X4),X5) = pl(X3,pl(X4,X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz5) ).
tff(m,axiom,
~ ! [X1: nat] : ( x != pl(y,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m) ).
tff(satz6,axiom,
! [X3: nat,X4: nat] : ( pl(X3,X4) = pl(X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz6) ).
tff(c_0_4,negated_conjecture,
~ ~ ! [X1: nat] : ( pl(x,z) != pl(pl(y,z),X1) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[satz19a])]) ).
tff(c_0_5,negated_conjecture,
! [X6: nat] : ( pl(x,z) != pl(pl(y,z),X6) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
tff(c_0_6,plain,
! [X9: nat,X10: nat,X11: nat] : ( pl(pl(X9,X10),X11) = pl(X9,pl(X10,X11)) ),
inference(variable_rename,[status(thm)],[satz5]) ).
tff(c_0_7,plain,
~ ! [X1: nat] : ( x != pl(y,X1) ),
inference(fof_simplification,[status(thm)],[m]) ).
tcf(c_0_8,negated_conjecture,
! [X1: nat] : pl(x,z) != pl(pl(y,z),X1),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
tcf(c_0_9,plain,
! [X1: nat,X3: nat,X4: nat] : pl(pl(X1,X3),X4) = pl(X1,pl(X3,X4)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tff(c_0_10,plain,
! [X7: nat,X8: nat] : ( pl(X7,X8) = pl(X8,X7) ),
inference(variable_rename,[status(thm)],[satz6]) ).
tff(c_0_11,plain,
x = pl(y,esk1_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).
tcf(c_0_12,negated_conjecture,
! [X1: nat] : pl(y,pl(z,X1)) != pl(x,z),
inference(rw,[status(thm)],[c_0_8,c_0_9]) ).
tcf(c_0_13,plain,
! [X3: nat,X1: nat] : pl(X1,X3) = pl(X3,X1),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
tcf(c_0_14,plain,
x = pl(y,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
tcf(c_0_15,negated_conjecture,
! [X1: nat] : pl(y,pl(X1,z)) != pl(x,z),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
tcf(c_0_16,plain,
! [X1: nat] : pl(y,pl(esk1_0,X1)) = pl(x,X1),
inference(spm,[status(thm)],[c_0_9,c_0_14]) ).
cnf(c_0_17,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_15,c_0_16]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : NUM670_8 : TPTP v8.2.0. Released v8.0.0.
% 0.02/0.13 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon May 20 06:09:08 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.18/0.44 Running first-order model finding
% 0.18/0.44 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/benchmark/theBenchmark.p
% 0.18/0.45 # Version: 3.1.0
% 0.18/0.45 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.18/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.45 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.18/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.18/0.45 # Starting new_bool_1 with 300s (1) cores
% 0.18/0.45 # Starting sh5l with 300s (1) cores
% 0.18/0.45 # new_bool_3 with pid 4222 completed with status 0
% 0.18/0.45 # Result found by new_bool_3
% 0.18/0.45 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.18/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.45 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.18/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.18/0.45 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.45 # Search class: FUUPS-FFSF22-SFFFFFNN
% 0.18/0.45 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.45 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 181s (1) cores
% 0.18/0.45 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 4225 completed with status 0
% 0.18/0.45 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 0.18/0.45 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.18/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.45 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.18/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.18/0.45 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.45 # Search class: FUUPS-FFSF22-SFFFFFNN
% 0.18/0.45 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.45 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 181s (1) cores
% 0.18/0.45 # Preprocessing time : 0.001 s
% 0.18/0.45 # Presaturation interreduction done
% 0.18/0.45
% 0.18/0.45 # Proof found!
% 0.18/0.45 # SZS status Theorem
% 0.18/0.45 # SZS output start CNFRefutation
% See solution above
% 0.18/0.45 # Parsed axioms : 10
% 0.18/0.45 # Removed by relevancy pruning/SinE : 6
% 0.18/0.45 # Initial clauses : 4
% 0.18/0.45 # Removed in clause preprocessing : 0
% 0.18/0.45 # Initial clauses in saturation : 4
% 0.18/0.45 # Processed clauses : 18
% 0.18/0.45 # ...of these trivial : 0
% 0.18/0.45 # ...subsumed : 4
% 0.18/0.45 # ...remaining for further processing : 14
% 0.18/0.45 # Other redundant clauses eliminated : 0
% 0.18/0.45 # Clauses deleted for lack of memory : 0
% 0.18/0.45 # Backward-subsumed : 0
% 0.18/0.45 # Backward-rewritten : 1
% 0.18/0.45 # Generated clauses : 68
% 0.18/0.45 # ...of the previous two non-redundant : 60
% 0.18/0.45 # ...aggressively subsumed : 0
% 0.18/0.45 # Contextual simplify-reflections : 0
% 0.18/0.45 # Paramodulations : 68
% 0.18/0.45 # Factorizations : 0
% 0.18/0.45 # NegExts : 0
% 0.18/0.45 # Equation resolutions : 0
% 0.18/0.45 # Disequality decompositions : 0
% 0.18/0.45 # Total rewrite steps : 35
% 0.18/0.45 # ...of those cached : 14
% 0.18/0.45 # Propositional unsat checks : 0
% 0.18/0.45 # Propositional check models : 0
% 0.18/0.45 # Propositional check unsatisfiable : 0
% 0.18/0.45 # Propositional clauses : 0
% 0.18/0.45 # Propositional clauses after purity: 0
% 0.18/0.45 # Propositional unsat core size : 0
% 0.18/0.45 # Propositional preprocessing time : 0.000
% 0.18/0.45 # Propositional encoding time : 0.000
% 0.18/0.45 # Propositional solver time : 0.000
% 0.18/0.45 # Success case prop preproc time : 0.000
% 0.18/0.45 # Success case prop encoding time : 0.000
% 0.18/0.45 # Success case prop solver time : 0.000
% 0.18/0.45 # Current number of processed clauses : 9
% 0.18/0.45 # Positive orientable unit clauses : 3
% 0.18/0.45 # Positive unorientable unit clauses: 2
% 0.18/0.45 # Negative unit clauses : 4
% 0.18/0.45 # Non-unit-clauses : 0
% 0.18/0.45 # Current number of unprocessed clauses: 44
% 0.18/0.45 # ...number of literals in the above : 44
% 0.18/0.45 # Current number of archived formulas : 0
% 0.18/0.45 # Current number of archived clauses : 5
% 0.18/0.45 # Clause-clause subsumption calls (NU) : 0
% 0.18/0.45 # Rec. Clause-clause subsumption calls : 0
% 0.18/0.45 # Non-unit clause-clause subsumptions : 0
% 0.18/0.45 # Unit Clause-clause subsumption calls : 3
% 0.18/0.45 # Rewrite failures with RHS unbound : 0
% 0.18/0.45 # BW rewrite match attempts : 25
% 0.18/0.45 # BW rewrite match successes : 25
% 0.18/0.45 # Condensation attempts : 0
% 0.18/0.45 # Condensation successes : 0
% 0.18/0.45 # Termbank termtop insertions : 818
% 0.18/0.45 # Search garbage collected termcells : 25
% 0.18/0.45
% 0.18/0.45 # -------------------------------------------------
% 0.18/0.45 # User time : 0.003 s
% 0.18/0.45 # System time : 0.001 s
% 0.18/0.45 # Total time : 0.004 s
% 0.18/0.45 # Maximum resident set size: 1592 pages
% 0.18/0.45
% 0.18/0.45 # -------------------------------------------------
% 0.18/0.45 # User time : 0.004 s
% 0.18/0.45 # System time : 0.003 s
% 0.18/0.45 # Total time : 0.006 s
% 0.18/0.45 # Maximum resident set size: 1712 pages
% 0.18/0.45 % E---3.1 exiting
%------------------------------------------------------------------------------