TSTP Solution File: GEO443+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GEO443+1 : TPTP v8.1.2. Released v7.0.0.
% 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 17:35:01 EDT 2023
% Result : Theorem 4.52s 2.31s
% Output : CNFRefutation 4.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 12 unt; 0 def)
% Number of atoms : 12 ( 11 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 12 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 24 ( 0 sgn; 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(aDISTu_SYM,conjecture,
! [X1049,X1,X8] : s(real,i(s(fun(prod(cart(real,X1049),cart(real,X1049)),real),distance),s(prod(cart(real,X1049),cart(real,X1049)),i(s(fun(cart(real,X1049),prod(cart(real,X1049),cart(real,X1049))),i(s(fun(cart(real,X1049),fun(cart(real,X1049),prod(cart(real,X1049),cart(real,X1049)))),c_),s(cart(real,X1049),X1))),s(cart(real,X1049),X8))))) = s(real,i(s(fun(prod(cart(real,X1049),cart(real,X1049)),real),distance),s(prod(cart(real,X1049),cart(real,X1049)),i(s(fun(cart(real,X1049),prod(cart(real,X1049),cart(real,X1049))),i(s(fun(cart(real,X1049),fun(cart(real,X1049),prod(cart(real,X1049),cart(real,X1049)))),c_),s(cart(real,X1049),X8))),s(cart(real,X1049),X1))))),
file('/export/starexec/sandbox/tmp/tmp.chXdf6Ebv7/E---3.1_4236.p',aDISTu_SYM) ).
fof(adist,axiom,
! [X1012,X1,X8] : s(real,i(s(fun(prod(cart(real,X1012),cart(real,X1012)),real),distance),s(prod(cart(real,X1012),cart(real,X1012)),i(s(fun(cart(real,X1012),prod(cart(real,X1012),cart(real,X1012))),i(s(fun(cart(real,X1012),fun(cart(real,X1012),prod(cart(real,X1012),cart(real,X1012)))),c_),s(cart(real,X1012),X1))),s(cart(real,X1012),X8))))) = s(real,i(s(fun(cart(real,X1012),real),vectoru_norm),s(cart(real,X1012),i(s(fun(cart(real,X1012),cart(real,X1012)),i(s(fun(cart(real,X1012),fun(cart(real,X1012),cart(real,X1012))),vectoru_sub),s(cart(real,X1012),X1))),s(cart(real,X1012),X8))))),
file('/export/starexec/sandbox/tmp/tmp.chXdf6Ebv7/E---3.1_4236.p',adist) ).
fof(aNORMu_SUB,axiom,
! [X1018,X1,X8] : s(real,i(s(fun(cart(real,X1018),real),vectoru_norm),s(cart(real,X1018),i(s(fun(cart(real,X1018),cart(real,X1018)),i(s(fun(cart(real,X1018),fun(cart(real,X1018),cart(real,X1018))),vectoru_sub),s(cart(real,X1018),X1))),s(cart(real,X1018),X8))))) = s(real,i(s(fun(cart(real,X1018),real),vectoru_norm),s(cart(real,X1018),i(s(fun(cart(real,X1018),cart(real,X1018)),i(s(fun(cart(real,X1018),fun(cart(real,X1018),cart(real,X1018))),vectoru_sub),s(cart(real,X1018),X8))),s(cart(real,X1018),X1))))),
file('/export/starexec/sandbox/tmp/tmp.chXdf6Ebv7/E---3.1_4236.p',aNORMu_SUB) ).
fof(c_0_3,negated_conjecture,
~ ! [X1049,X1,X8] : s(real,i(s(fun(prod(cart(real,X1049),cart(real,X1049)),real),distance),s(prod(cart(real,X1049),cart(real,X1049)),i(s(fun(cart(real,X1049),prod(cart(real,X1049),cart(real,X1049))),i(s(fun(cart(real,X1049),fun(cart(real,X1049),prod(cart(real,X1049),cart(real,X1049)))),c_),s(cart(real,X1049),X1))),s(cart(real,X1049),X8))))) = s(real,i(s(fun(prod(cart(real,X1049),cart(real,X1049)),real),distance),s(prod(cart(real,X1049),cart(real,X1049)),i(s(fun(cart(real,X1049),prod(cart(real,X1049),cart(real,X1049))),i(s(fun(cart(real,X1049),fun(cart(real,X1049),prod(cart(real,X1049),cart(real,X1049)))),c_),s(cart(real,X1049),X8))),s(cart(real,X1049),X1))))),
inference(assume_negation,[status(cth)],[aDISTu_SYM]) ).
fof(c_0_4,negated_conjecture,
s(real,i(s(fun(prod(cart(real,esk1_0),cart(real,esk1_0)),real),distance),s(prod(cart(real,esk1_0),cart(real,esk1_0)),i(s(fun(cart(real,esk1_0),prod(cart(real,esk1_0),cart(real,esk1_0))),i(s(fun(cart(real,esk1_0),fun(cart(real,esk1_0),prod(cart(real,esk1_0),cart(real,esk1_0)))),c_),s(cart(real,esk1_0),esk2_0))),s(cart(real,esk1_0),esk3_0))))) != s(real,i(s(fun(prod(cart(real,esk1_0),cart(real,esk1_0)),real),distance),s(prod(cart(real,esk1_0),cart(real,esk1_0)),i(s(fun(cart(real,esk1_0),prod(cart(real,esk1_0),cart(real,esk1_0))),i(s(fun(cart(real,esk1_0),fun(cart(real,esk1_0),prod(cart(real,esk1_0),cart(real,esk1_0)))),c_),s(cart(real,esk1_0),esk3_0))),s(cart(real,esk1_0),esk2_0))))),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
fof(c_0_5,plain,
! [X1285,X1286,X1287] : s(real,i(s(fun(prod(cart(real,X1285),cart(real,X1285)),real),distance),s(prod(cart(real,X1285),cart(real,X1285)),i(s(fun(cart(real,X1285),prod(cart(real,X1285),cart(real,X1285))),i(s(fun(cart(real,X1285),fun(cart(real,X1285),prod(cart(real,X1285),cart(real,X1285)))),c_),s(cart(real,X1285),X1286))),s(cart(real,X1285),X1287))))) = s(real,i(s(fun(cart(real,X1285),real),vectoru_norm),s(cart(real,X1285),i(s(fun(cart(real,X1285),cart(real,X1285)),i(s(fun(cart(real,X1285),fun(cart(real,X1285),cart(real,X1285))),vectoru_sub),s(cart(real,X1285),X1286))),s(cart(real,X1285),X1287))))),
inference(variable_rename,[status(thm)],[adist]) ).
cnf(c_0_6,negated_conjecture,
s(real,i(s(fun(prod(cart(real,esk1_0),cart(real,esk1_0)),real),distance),s(prod(cart(real,esk1_0),cart(real,esk1_0)),i(s(fun(cart(real,esk1_0),prod(cart(real,esk1_0),cart(real,esk1_0))),i(s(fun(cart(real,esk1_0),fun(cart(real,esk1_0),prod(cart(real,esk1_0),cart(real,esk1_0)))),c_),s(cart(real,esk1_0),esk2_0))),s(cart(real,esk1_0),esk3_0))))) != s(real,i(s(fun(prod(cart(real,esk1_0),cart(real,esk1_0)),real),distance),s(prod(cart(real,esk1_0),cart(real,esk1_0)),i(s(fun(cart(real,esk1_0),prod(cart(real,esk1_0),cart(real,esk1_0))),i(s(fun(cart(real,esk1_0),fun(cart(real,esk1_0),prod(cart(real,esk1_0),cart(real,esk1_0)))),c_),s(cart(real,esk1_0),esk3_0))),s(cart(real,esk1_0),esk2_0))))),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
s(real,i(s(fun(prod(cart(real,X1),cart(real,X1)),real),distance),s(prod(cart(real,X1),cart(real,X1)),i(s(fun(cart(real,X1),prod(cart(real,X1),cart(real,X1))),i(s(fun(cart(real,X1),fun(cart(real,X1),prod(cart(real,X1),cart(real,X1)))),c_),s(cart(real,X1),X2))),s(cart(real,X1),X3))))) = s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),i(s(fun(cart(real,X1),cart(real,X1)),i(s(fun(cart(real,X1),fun(cart(real,X1),cart(real,X1))),vectoru_sub),s(cart(real,X1),X2))),s(cart(real,X1),X3))))),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_8,plain,
! [X2401,X2402,X2403] : s(real,i(s(fun(cart(real,X2401),real),vectoru_norm),s(cart(real,X2401),i(s(fun(cart(real,X2401),cart(real,X2401)),i(s(fun(cart(real,X2401),fun(cart(real,X2401),cart(real,X2401))),vectoru_sub),s(cart(real,X2401),X2402))),s(cart(real,X2401),X2403))))) = s(real,i(s(fun(cart(real,X2401),real),vectoru_norm),s(cart(real,X2401),i(s(fun(cart(real,X2401),cart(real,X2401)),i(s(fun(cart(real,X2401),fun(cart(real,X2401),cart(real,X2401))),vectoru_sub),s(cart(real,X2401),X2403))),s(cart(real,X2401),X2402))))),
inference(variable_rename,[status(thm)],[aNORMu_SUB]) ).
cnf(c_0_9,negated_conjecture,
s(real,i(s(fun(cart(real,esk1_0),real),vectoru_norm),s(cart(real,esk1_0),i(s(fun(cart(real,esk1_0),cart(real,esk1_0)),i(s(fun(cart(real,esk1_0),fun(cart(real,esk1_0),cart(real,esk1_0))),vectoru_sub),s(cart(real,esk1_0),esk2_0))),s(cart(real,esk1_0),esk3_0))))) != s(real,i(s(fun(cart(real,esk1_0),real),vectoru_norm),s(cart(real,esk1_0),i(s(fun(cart(real,esk1_0),cart(real,esk1_0)),i(s(fun(cart(real,esk1_0),fun(cart(real,esk1_0),cart(real,esk1_0))),vectoru_sub),s(cart(real,esk1_0),esk3_0))),s(cart(real,esk1_0),esk2_0))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7]),c_0_7]) ).
cnf(c_0_10,plain,
s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),i(s(fun(cart(real,X1),cart(real,X1)),i(s(fun(cart(real,X1),fun(cart(real,X1),cart(real,X1))),vectoru_sub),s(cart(real,X1),X2))),s(cart(real,X1),X3))))) = s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),i(s(fun(cart(real,X1),cart(real,X1)),i(s(fun(cart(real,X1),fun(cart(real,X1),cart(real,X1))),vectoru_sub),s(cart(real,X1),X3))),s(cart(real,X1),X2))))),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO443+1 : TPTP v8.1.2. Released v7.0.0.
% 0.08/0.15 % Command : run_E %s %d THM
% 0.15/0.36 % Computer : n020.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 2400
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Oct 3 06:43:31 EDT 2023
% 0.15/0.36 % CPUTime :
% 1.04/1.28 Running first-order model finding
% 1.04/1.28 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.chXdf6Ebv7/E---3.1_4236.p
% 4.52/2.31 # Version: 3.1pre001
% 4.52/2.31 # Preprocessing class: FMLMSMSLSSSNFFN.
% 4.52/2.31 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.52/2.31 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 4.52/2.31 # Starting new_bool_3 with 600s (2) cores
% 4.52/2.31 # Starting new_bool_1 with 600s (2) cores
% 4.52/2.31 # Starting sh5l with 300s (1) cores
% 4.52/2.31 # new_bool_1 with pid 4377 completed with status 0
% 4.52/2.31 # Result found by new_bool_1
% 4.52/2.31 # Preprocessing class: FMLMSMSLSSSNFFN.
% 4.52/2.31 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.52/2.31 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 4.52/2.31 # Starting new_bool_3 with 600s (2) cores
% 4.52/2.31 # Starting new_bool_1 with 600s (2) cores
% 4.52/2.31 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 4.52/2.31 # Search class: FGHSM-SMLM33-DFFFFFNN
% 4.52/2.31 # Scheduled 6 strats onto 2 cores with 600 seconds (600 total)
% 4.52/2.31 # Starting SAT001_MinMin_p005000_rr with 325s (1) cores
% 4.52/2.31 # Starting new_bool_1 with 61s (1) cores
% 4.52/2.31 # SAT001_MinMin_p005000_rr with pid 4379 completed with status 0
% 4.52/2.31 # Result found by SAT001_MinMin_p005000_rr
% 4.52/2.31 # Preprocessing class: FMLMSMSLSSSNFFN.
% 4.52/2.31 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.52/2.31 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 4.52/2.31 # Starting new_bool_3 with 600s (2) cores
% 4.52/2.31 # Starting new_bool_1 with 600s (2) cores
% 4.52/2.31 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 4.52/2.31 # Search class: FGHSM-SMLM33-DFFFFFNN
% 4.52/2.31 # Scheduled 6 strats onto 2 cores with 600 seconds (600 total)
% 4.52/2.31 # Starting SAT001_MinMin_p005000_rr with 325s (1) cores
% 4.52/2.31 # Preprocessing time : 0.200 s
% 4.52/2.31 # Presaturation interreduction done
% 4.52/2.31
% 4.52/2.31 # Proof found!
% 4.52/2.31 # SZS status Theorem
% 4.52/2.31 # SZS output start CNFRefutation
% See solution above
% 4.52/2.31 # Parsed axioms : 2891
% 4.52/2.31 # Removed by relevancy pruning/SinE : 1859
% 4.52/2.31 # Initial clauses : 3037
% 4.52/2.31 # Removed in clause preprocessing : 172
% 4.52/2.31 # Initial clauses in saturation : 2865
% 4.52/2.31 # Processed clauses : 1059
% 4.52/2.31 # ...of these trivial : 47
% 4.52/2.31 # ...subsumed : 84
% 4.52/2.31 # ...remaining for further processing : 928
% 4.52/2.31 # Other redundant clauses eliminated : 0
% 4.52/2.31 # Clauses deleted for lack of memory : 0
% 4.52/2.31 # Backward-subsumed : 4
% 4.52/2.31 # Backward-rewritten : 28
% 4.52/2.31 # Generated clauses : 0
% 4.52/2.31 # ...of the previous two non-redundant : 13
% 4.52/2.31 # ...aggressively subsumed : 0
% 4.52/2.31 # Contextual simplify-reflections : 1
% 4.52/2.31 # Paramodulations : 0
% 4.52/2.31 # Factorizations : 0
% 4.52/2.31 # NegExts : 0
% 4.52/2.31 # Equation resolutions : 0
% 4.52/2.31 # Total rewrite steps : 711
% 4.52/2.31 # Propositional unsat checks : 0
% 4.52/2.31 # Propositional check models : 0
% 4.52/2.31 # Propositional check unsatisfiable : 0
% 4.52/2.31 # Propositional clauses : 0
% 4.52/2.31 # Propositional clauses after purity: 0
% 4.52/2.31 # Propositional unsat core size : 0
% 4.52/2.31 # Propositional preprocessing time : 0.000
% 4.52/2.31 # Propositional encoding time : 0.000
% 4.52/2.31 # Propositional solver time : 0.000
% 4.52/2.31 # Success case prop preproc time : 0.000
% 4.52/2.31 # Success case prop encoding time : 0.000
% 4.52/2.31 # Success case prop solver time : 0.000
% 4.52/2.31 # Current number of processed clauses : 896
% 4.52/2.31 # Positive orientable unit clauses : 229
% 4.52/2.31 # Positive unorientable unit clauses: 14
% 4.52/2.31 # Negative unit clauses : 7
% 4.52/2.31 # Non-unit-clauses : 646
% 4.52/2.31 # Current number of unprocessed clauses: 1819
% 4.52/2.31 # ...number of literals in the above : 13297
% 4.52/2.31 # Current number of archived formulas : 0
% 4.52/2.31 # Current number of archived clauses : 32
% 4.52/2.31 # Clause-clause subsumption calls (NU) : 62962
% 4.52/2.31 # Rec. Clause-clause subsumption calls : 35744
% 4.52/2.31 # Non-unit clause-clause subsumptions : 88
% 4.52/2.31 # Unit Clause-clause subsumption calls : 31
% 4.52/2.31 # Rewrite failures with RHS unbound : 8
% 4.52/2.31 # BW rewrite match attempts : 42391
% 4.52/2.31 # BW rewrite match successes : 80
% 4.52/2.31 # Condensation attempts : 0
% 4.52/2.31 # Condensation successes : 0
% 4.52/2.31 # Termbank termtop insertions : 1775284
% 4.52/2.31
% 4.52/2.31 # -------------------------------------------------
% 4.52/2.31 # User time : 0.660 s
% 4.52/2.31 # System time : 0.043 s
% 4.52/2.31 # Total time : 0.703 s
% 4.52/2.31 # Maximum resident set size: 21332 pages
% 4.52/2.31
% 4.52/2.31 # -------------------------------------------------
% 4.52/2.31 # User time : 1.277 s
% 4.52/2.31 # System time : 0.054 s
% 4.52/2.31 # Total time : 1.331 s
% 4.52/2.31 # Maximum resident set size: 10164 pages
% 4.52/2.31 % E---3.1 exiting
%------------------------------------------------------------------------------