TSTP Solution File: SEU459^1 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SEU459^1 : TPTP v8.2.0. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n025.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 03:27:29 EDT 2024
% Result : Theorem 0.17s 0.44s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 19 ( 10 unt; 6 typ; 0 def)
% Number of atoms : 23 ( 7 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 60 ( 4 ~; 3 |; 2 &; 46 @)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 54 ( 54 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 27 ( 13 ^ 14 !; 0 ?; 27 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_22,type,
subrel: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(decl_25,type,
infl: ( ( $i > $i > $o ) > $i > $i > $o ) > $o ).
thf(decl_33,type,
sc: ( $i > $i > $o ) > $i > $i > $o ).
thf(decl_51,type,
epred1_0: $i > $i > $o ).
thf(decl_52,type,
esk1_0: $i ).
thf(decl_53,type,
esk2_0: $i ).
thf(inflationary,axiom,
( infl
= ( ^ [X5: ( $i > $i > $o ) > $i > $i > $o] :
! [X1: $i > $i > $o] : ( subrel @ X1 @ ( X5 @ X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET009^0.ax',inflationary) ).
thf(subrel,axiom,
( subrel
= ( ^ [X1: $i > $i > $o,X2: $i > $i > $o] :
! [X3: $i,X4: $i] :
( ( X1 @ X3 @ X4 )
=> ( X2 @ X3 @ X4 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET009^0.ax',subrel) ).
thf(symmetric_closure,axiom,
( sc
= ( ^ [X1: $i > $i > $o,X3: $i,X4: $i] :
( ( X1 @ X4 @ X3 )
| ( X1 @ X3 @ X4 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET009^0.ax',symmetric_closure) ).
thf(symmetric_closure_op_is_inflationary,conjecture,
infl @ sc,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetric_closure_op_is_inflationary) ).
thf(c_0_4,plain,
( infl
= ( ^ [Z0: ( $i > $i > $o ) > $i > $i > $o] :
! [X1: $i > $i > $o,X9: $i,X10: $i] :
( ( X1 @ X9 @ X10 )
=> ( Z0 @ X1 @ X9 @ X10 ) ) ) ),
inference(fof_simplification,[status(thm)],[inflationary]) ).
thf(c_0_5,plain,
( subrel
= ( ^ [Z0: $i > $i > $o,Z1: $i > $i > $o] :
! [X3: $i,X4: $i] :
( ( Z0 @ X3 @ X4 )
=> ( Z1 @ X3 @ X4 ) ) ) ),
inference(fof_simplification,[status(thm)],[subrel]) ).
thf(c_0_6,plain,
( sc
= ( ^ [Z0: $i > $i > $o,Z1: $i,Z2: $i] :
( ( Z0 @ Z2 @ Z1 )
| ( Z0 @ Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[symmetric_closure]) ).
thf(c_0_7,plain,
( infl
= ( ^ [Z0: ( $i > $i > $o ) > $i > $i > $o] :
! [X1: $i > $i > $o,X9: $i,X10: $i] :
( ( X1 @ X9 @ X10 )
=> ( Z0 @ X1 @ X9 @ X10 ) ) ) ),
inference(apply_def,[status(thm)],[c_0_4,c_0_5]) ).
thf(c_0_8,negated_conjecture,
~ ! [X79: $i > $i > $o,X80: $i,X81: $i] :
( ( X79 @ X80 @ X81 )
=> ( ( X79 @ X81 @ X80 )
| ( X79 @ X80 @ X81 ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[symmetric_closure_op_is_inflationary]),c_0_6]),c_0_7]) ).
thf(c_0_9,negated_conjecture,
( ( epred1_0 @ esk1_0 @ esk2_0 )
& ~ ( epred1_0 @ esk2_0 @ esk1_0 )
& ~ ( epred1_0 @ esk1_0 @ esk2_0 ) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])]) ).
thf(c_0_10,negated_conjecture,
~ ( epred1_0 @ esk1_0 @ esk2_0 ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_11,negated_conjecture,
epred1_0 @ esk1_0 @ esk2_0,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_12,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SEU459^1 : TPTP v8.2.0. Released v3.6.0.
% 0.10/0.12 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n025.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 : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Sun May 19 15:57:53 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.43 Running higher-order theorem proving
% 0.17/0.43 Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.44 # Version: 3.1.0-ho
% 0.17/0.44 # Preprocessing class: HSSSSMSSMLSNHHN.
% 0.17/0.44 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.44 # Starting new_ho_10 with 1500s (5) cores
% 0.17/0.44 # Starting pre_casc_5 with 300s (1) cores
% 0.17/0.44 # Starting post_as_ho11 with 300s (1) cores
% 0.17/0.44 # Starting ho_unfolding_1 with 300s (1) cores
% 0.17/0.44 # pre_casc_5 with pid 5988 completed with status 0
% 0.17/0.44 # Result found by pre_casc_5
% 0.17/0.44 # Preprocessing class: HSSSSMSSMLSNHHN.
% 0.17/0.44 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.44 # Starting new_ho_10 with 1500s (5) cores
% 0.17/0.44 # Starting pre_casc_5 with 300s (1) cores
% 0.17/0.44 # SinE strategy is GSinE(CountFormulas,hypos,3,,5,20000,1.0,true)
% 0.17/0.44 # Search class: HUUNF-FFSF00-SHHSMFNN
% 0.17/0.44 # partial match(1): HUUNF-FFSF00-SHSSMFNN
% 0.17/0.44 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.44 # Starting new_ho_10 with 163s (1) cores
% 0.17/0.44 # new_ho_10 with pid 5994 completed with status 0
% 0.17/0.44 # Result found by new_ho_10
% 0.17/0.44 # Preprocessing class: HSSSSMSSMLSNHHN.
% 0.17/0.44 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.44 # Starting new_ho_10 with 1500s (5) cores
% 0.17/0.44 # Starting pre_casc_5 with 300s (1) cores
% 0.17/0.44 # SinE strategy is GSinE(CountFormulas,hypos,3,,5,20000,1.0,true)
% 0.17/0.44 # Search class: HUUNF-FFSF00-SHHSMFNN
% 0.17/0.44 # partial match(1): HUUNF-FFSF00-SHSSMFNN
% 0.17/0.44 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.44 # Starting new_ho_10 with 163s (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 : 59
% 0.17/0.44 # Removed by relevancy pruning/SinE : 45
% 0.17/0.44 # Initial clauses : 3
% 0.17/0.44 # Removed in clause preprocessing : 0
% 0.17/0.44 # Initial clauses in saturation : 3
% 0.17/0.44 # Processed clauses : 2
% 0.17/0.44 # ...of these trivial : 0
% 0.17/0.44 # ...subsumed : 0
% 0.17/0.44 # ...remaining for further processing : 1
% 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 : 0
% 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 # Disequality decompositions : 0
% 0.17/0.44 # Total rewrite steps : 1
% 0.17/0.44 # ...of those cached : 0
% 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: 1
% 0.17/0.44 # ...number of literals in the above : 1
% 0.17/0.44 # Current number of archived formulas : 0
% 0.17/0.44 # Current number of archived clauses : 0
% 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 : 0
% 0.17/0.44 # BW rewrite match successes : 0
% 0.17/0.44 # Condensation attempts : 2
% 0.17/0.44 # Condensation successes : 0
% 0.17/0.44 # Termbank termtop insertions : 1455
% 0.17/0.44 # Search garbage collected termcells : 479
% 0.17/0.44
% 0.17/0.44 # -------------------------------------------------
% 0.17/0.44 # User time : 0.002 s
% 0.17/0.44 # System time : 0.001 s
% 0.17/0.44 # Total time : 0.003 s
% 0.17/0.44 # Maximum resident set size: 1920 pages
% 0.17/0.44
% 0.17/0.44 # -------------------------------------------------
% 0.17/0.44 # User time : 0.004 s
% 0.17/0.44 # System time : 0.003 s
% 0.17/0.44 # Total time : 0.008 s
% 0.17/0.44 # Maximum resident set size: 1792 pages
% 0.17/0.44 % E---3.1 exiting
% 0.17/0.45 % E exiting
%------------------------------------------------------------------------------