TSTP Solution File: NUM730_8 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : NUM730_8 : TPTP v8.1.2. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n020.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 19:08:23 EDT 2023
% Result : Theorem 0.17s 0.44s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 12
% Syntax : Number of formulae : 19 ( 9 unt; 10 typ; 0 def)
% Number of atoms : 33 ( 8 equ)
% Maximal formula atoms : 1 ( 3 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of FOOLs : 24 ( 24 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 13 ( 8 >; 5 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn; 8 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
x: frac ).
tff(decl_23,type,
y: frac ).
tff(decl_24,type,
orec3: ( $o * $o * $o ) > $o ).
tff(decl_25,type,
ts: ( nat * nat ) > nat ).
tff(decl_26,type,
c1x: frac > nat ).
tff(decl_27,type,
c2y: frac > nat ).
tff(decl_28,type,
c1y: frac > nat ).
tff(decl_29,type,
c2x: frac > nat ).
tff(decl_30,type,
more: ( nat * nat ) > $o ).
tff(decl_31,type,
less: ( nat * nat ) > $o ).
tff(satz41,conjecture,
orec3(ts(c1x(x),c2y(y)) = ts(c1y(y),c2x(x)),more(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))),less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))),
file('/export/starexec/sandbox2/tmp/tmp.vFzEefPDwa/E---3.1_30879.p',satz41) ).
tff(satz10,axiom,
! [X1: nat,X2: nat] : orec3(X1 = X2,more(X1,X2),less(X1,X2)),
file('/export/starexec/sandbox2/tmp/tmp.vFzEefPDwa/E---3.1_30879.p',satz10) ).
tff(c_0_2,negated_conjecture,
~ orec3(ts(c1x(x),c2y(y)) = ts(c1y(y),c2x(x)),more(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))),less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[satz41])]) ).
tff(c_0_3,plain,
! [X3: nat,X4: nat] : orec3(X3 = X4,more(X3,X4),less(X3,X4)),
inference(variable_rename,[status(thm)],[satz10]) ).
tcf(c_0_4,negated_conjecture,
~ orec3(ts(c1x(x),c2y(y)) = ts(c1y(y),c2x(x)),more(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))),less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
tcf(c_0_5,plain,
! [X1: nat,X2: nat] : orec3(X1 = X2,more(X1,X2),less(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
tcf(c_0_6,negated_conjecture,
~ orec3(ts(c1x(x),c2y(y)) = ts(c1y(y),c2x(x)),more(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x))),less(ts(c1x(x),c2y(y)),ts(c1y(y),c2x(x)))),
inference(cn,[status(thm)],[c_0_4]) ).
tcf(c_0_7,plain,
! [X1: nat,X2: nat] : orec3(X1 = X2,more(X1,X2),less(X1,X2)),
inference(cn,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUM730_8 : TPTP v8.1.2. Released v8.0.0.
% 0.06/0.12 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n020.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 2400
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Oct 2 13:46:16 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.17/0.44 Running first-order model finding
% 0.17/0.44 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/tmp/tmp.vFzEefPDwa/E---3.1_30879.p
% 0.17/0.44 # Version: 3.1pre001
% 0.17/0.44 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.17/0.44 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.44 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.17/0.44 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.44 # Starting new_bool_1 with 300s (1) cores
% 0.17/0.44 # Starting sh5l with 300s (1) cores
% 0.17/0.44 # new_bool_3 with pid 30958 completed with status 0
% 0.17/0.44 # Result found by new_bool_3
% 0.17/0.44 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.17/0.44 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.44 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.17/0.44 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.44 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.44 # Search class: FUUNF-FFSF21-MFFFFFNN
% 0.17/0.44 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.44 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.17/0.44 # SAT001_MinMin_p005000_rr_RG with pid 30962 completed with status 0
% 0.17/0.44 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.17/0.44 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.17/0.44 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.44 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.17/0.44 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.44 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.44 # Search class: FUUNF-FFSF21-MFFFFFNN
% 0.17/0.44 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.44 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.17/0.44 # Preprocessing time : 0.001 s
% 0.17/0.44 # Presaturation interreduction done
% 0.17/0.44
% 0.17/0.44 # Proof found!
% 0.17/0.44 # SZS status Theorem
% 0.17/0.44 # SZS output start CNFRefutation
% See solution above
% 0.17/0.44 # Parsed axioms : 14
% 0.17/0.44 # Removed by relevancy pruning/SinE : 12
% 0.17/0.44 # Initial clauses : 2
% 0.17/0.44 # Removed in clause preprocessing : 0
% 0.17/0.44 # Initial clauses in saturation : 2
% 0.17/0.44 # Processed clauses : 4
% 0.17/0.44 # ...of these trivial : 0
% 0.17/0.44 # ...subsumed : 0
% 0.17/0.44 # ...remaining for further processing : 4
% 0.17/0.44 # Other redundant clauses eliminated : 0
% 0.17/0.44 # Clauses deleted for lack of memory : 0
% 0.17/0.44 # Backward-subsumed : 0
% 0.17/0.44 # Backward-rewritten : 1
% 0.17/0.44 # Generated clauses : 0
% 0.17/0.44 # ...of the previous two non-redundant : 0
% 0.17/0.44 # ...aggressively subsumed : 0
% 0.17/0.44 # Contextual simplify-reflections : 0
% 0.17/0.44 # Paramodulations : 0
% 0.17/0.44 # Factorizations : 0
% 0.17/0.44 # NegExts : 0
% 0.17/0.44 # Equation resolutions : 0
% 0.17/0.44 # Total rewrite steps : 1
% 0.17/0.44 # Propositional unsat checks : 0
% 0.17/0.44 # Propositional check models : 0
% 0.17/0.44 # Propositional check unsatisfiable : 0
% 0.17/0.44 # Propositional clauses : 0
% 0.17/0.44 # Propositional clauses after purity: 0
% 0.17/0.44 # Propositional unsat core size : 0
% 0.17/0.44 # Propositional preprocessing time : 0.000
% 0.17/0.44 # Propositional encoding time : 0.000
% 0.17/0.44 # Propositional solver time : 0.000
% 0.17/0.44 # Success case prop preproc time : 0.000
% 0.17/0.44 # Success case prop encoding time : 0.000
% 0.17/0.44 # Success case prop solver time : 0.000
% 0.17/0.44 # Current number of processed clauses : 1
% 0.17/0.44 # Positive orientable unit clauses : 1
% 0.17/0.44 # Positive unorientable unit clauses: 0
% 0.17/0.44 # Negative unit clauses : 0
% 0.17/0.44 # Non-unit-clauses : 0
% 0.17/0.44 # Current number of unprocessed clauses: 0
% 0.17/0.44 # ...number of literals in the above : 0
% 0.17/0.44 # Current number of archived formulas : 0
% 0.17/0.44 # Current number of archived clauses : 3
% 0.17/0.44 # Clause-clause subsumption calls (NU) : 0
% 0.17/0.44 # Rec. Clause-clause subsumption calls : 0
% 0.17/0.44 # Non-unit clause-clause subsumptions : 0
% 0.17/0.44 # Unit Clause-clause subsumption calls : 0
% 0.17/0.44 # Rewrite failures with RHS unbound : 0
% 0.17/0.44 # BW rewrite match attempts : 1
% 0.17/0.44 # BW rewrite match successes : 1
% 0.17/0.44 # Condensation attempts : 0
% 0.17/0.44 # Condensation successes : 0
% 0.17/0.44 # Termbank termtop insertions : 254
% 0.17/0.44
% 0.17/0.44 # -------------------------------------------------
% 0.17/0.44 # User time : 0.002 s
% 0.17/0.44 # System time : 0.002 s
% 0.17/0.44 # Total time : 0.003 s
% 0.17/0.44 # Maximum resident set size: 1624 pages
% 0.17/0.44
% 0.17/0.44 # -------------------------------------------------
% 0.17/0.44 # User time : 0.002 s
% 0.17/0.44 # System time : 0.004 s
% 0.17/0.44 # Total time : 0.006 s
% 0.17/0.45 # Maximum resident set size: 1696 pages
% 0.17/0.45 % E---3.1 exiting
%------------------------------------------------------------------------------