TSTP Solution File: SEV162^5 by E---3.2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.2.0
% Problem : SEV162^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n032.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 : Mon Jun 24 15:53:51 EDT 2024
% Result : Theorem 0.15s 0.42s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 13 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 60 ( 6 ~; 5 |; 1 &; 46 @)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 8 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 19 ( 19 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 47 ( 28 ^ 19 !; 0 ?; 47 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_22,type,
epred1_0: a > a > $o ).
thf(decl_23,type,
esk1_0: a ).
thf(decl_24,type,
esk2_0: a ).
thf(decl_25,type,
esk3_0: ( a > a > a ) > a ).
thf(cTHM184_pme,conjecture,
! [X1: a > a > $o] :
( ! [X2: a,X3: a] : ( X1 @ X2 @ X3 )
<=> ! [X4: ( a > a > a ) > a] :
( X1
@ ( X4
@ ^ [X2: a,X3: a] : X2 )
@ ( X4
@ ^ [X2: a,X3: a] : X3 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.LEUv8RRkro/E---3.1_8668.p',cTHM184_pme) ).
thf(c_0_1,negated_conjecture,
~ ! [X1: a > a > $o] :
( ! [X2: a,X3: a] : ( X1 @ X2 @ X3 )
<=> ! [X4: ( a > a > a ) > a] :
( X1
@ ( X4
@ ^ [Z0: a,Z1: a] : Z0 )
@ ( X4
@ ^ [Z0: a,Z1: a] : Z1 ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[cTHM184_pme])]) ).
thf(c_0_2,negated_conjecture,
! [X13: a,X14: a,X15: ( a > a > a ) > a] :
( ( ~ ( epred1_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0
@ ( esk3_0
@ ^ [Z0: a,Z1: a] : Z0 )
@ ( esk3_0
@ ^ [Z0: a,Z1: a] : Z1 ) ) )
& ( ( epred1_0 @ X13 @ X14 )
| ( epred1_0
@ ( X15
@ ^ [Z0: a,Z1: a] : Z0 )
@ ( X15
@ ^ [Z0: a,Z1: a] : Z1 ) ) ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])]) ).
thf(c_0_3,negated_conjecture,
( ~ ( epred1_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0
@ ( esk3_0
@ ^ [Z0: a,Z1: a] : Z0 )
@ ( esk3_0
@ ^ [Z0: a,Z1: a] : Z1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
! [X3: a,X2: a,X4: ( a > a > a ) > a] :
( ( epred1_0 @ X2 @ X3 )
| ( epred1_0
@ ( X4
@ ^ [Z0: a,Z1: a] : Z0 )
@ ( X4
@ ^ [Z0: a,Z1: a] : Z1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_5,negated_conjecture,
! [X2: a,X3: a] :
( ( epred1_0 @ X2 @ X3 )
| ~ ( epred1_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
thf(c_0_6,negated_conjecture,
! [X4: ( a > a > a ) > a] :
( epred1_0
@ ( X4
@ ^ [Z0: a,Z1: a] : Z0 )
@ ( X4
@ ^ [Z0: a,Z1: a] : Z1 ) ),
inference(ef,[status(thm)],[c_0_4]) ).
thf(c_0_7,negated_conjecture,
! [X2: a,X3: a] : ( epred1_0 @ X2 @ X3 ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
thf(c_0_8,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_3,c_0_6])]),c_0_7])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SEV162^5 : TPTP v8.2.0. Released v4.0.0.
% 0.00/0.09 % Command : run_E %s %d THM
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Fri Jun 21 18:19:38 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.15/0.41 Running higher-order theorem proving
% 0.15/0.41 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/tmp/tmp.LEUv8RRkro/E---3.1_8668.p
% 0.15/0.42 # Version: 3.2.0-ho
% 0.15/0.42 # Preprocessing class: HSSSSMSSSSMNHHA.
% 0.15/0.42 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.42 # Starting post_as_ho5 with 1500s (5) cores
% 0.15/0.42 # Starting sh2lt with 300s (1) cores
% 0.15/0.42 # Starting ehoh_best8_lambda with 300s (1) cores
% 0.15/0.42 # Starting post_as_ho10 with 300s (1) cores
% 0.15/0.42 # post_as_ho5 with pid 8746 completed with status 0
% 0.15/0.42 # Result found by post_as_ho5
% 0.15/0.42 # Preprocessing class: HSSSSMSSSSMNHHA.
% 0.15/0.42 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.42 # Starting post_as_ho5 with 1500s (5) cores
% 0.15/0.42 # SinE strategy is GSinE(CountFormulas,,true,1.0,0,2,20000,1.0,true)
% 0.15/0.42 # Search class: HGHNF-FFSF00-MHHFFFNN
% 0.15/0.42 # partial match(1): HGHNF-FFSF00-SHHFFFNN
% 0.15/0.42 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.42 # Starting new_ho_10 with 811s (1) cores
% 0.15/0.42 # Starting post_as_ho5 with 151s (1) cores
% 0.15/0.42 # Starting new_bool_1 with 136s (1) cores
% 0.15/0.42 # Starting new_bool_2 with 136s (1) cores
% 0.15/0.42 # Starting new_bool_9 with 136s (1) cores
% 0.15/0.42 # new_ho_10 with pid 8750 completed with status 9
% 0.15/0.42 # Starting sh5l with 130s (1) cores
% 0.15/0.42 # new_bool_1 with pid 8752 completed with status 9
% 0.15/0.42 # new_bool_2 with pid 8753 completed with status 9
% 0.15/0.42 # new_bool_9 with pid 8756 completed with status 9
% 0.15/0.42 # post_as_ho5 with pid 8751 completed with status 0
% 0.15/0.42 # Result found by post_as_ho5
% 0.15/0.42 # Preprocessing class: HSSSSMSSSSMNHHA.
% 0.15/0.42 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.42 # Starting post_as_ho5 with 1500s (5) cores
% 0.15/0.42 # SinE strategy is GSinE(CountFormulas,,true,1.0,0,2,20000,1.0,true)
% 0.15/0.42 # Search class: HGHNF-FFSF00-MHHFFFNN
% 0.15/0.42 # partial match(1): HGHNF-FFSF00-SHHFFFNN
% 0.15/0.42 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.42 # Starting new_ho_10 with 811s (1) cores
% 0.15/0.42 # Starting post_as_ho5 with 151s (1) cores
% 0.15/0.42 # Preprocessing time : 0.001 s
% 0.15/0.42 # Presaturation interreduction done
% 0.15/0.42
% 0.15/0.42 # Proof found!
% 0.15/0.42 # SZS status Theorem
% 0.15/0.42 # SZS output start CNFRefutation
% See solution above
% 0.15/0.42 # Parsed axioms : 2
% 0.15/0.42 # Removed by relevancy pruning/SinE : 1
% 0.15/0.42 # Initial clauses : 2
% 0.15/0.42 # Removed in clause preprocessing : 0
% 0.15/0.42 # Initial clauses in saturation : 2
% 0.15/0.42 # Processed clauses : 8
% 0.15/0.42 # ...of these trivial : 0
% 0.15/0.42 # ...subsumed : 0
% 0.15/0.42 # ...remaining for further processing : 7
% 0.15/0.42 # Other redundant clauses eliminated : 0
% 0.15/0.42 # Clauses deleted for lack of memory : 0
% 0.15/0.42 # Backward-subsumed : 1
% 0.15/0.42 # Backward-rewritten : 3
% 0.15/0.42 # Generated clauses : 8
% 0.15/0.42 # ...of the previous two non-redundant : 9
% 0.15/0.42 # ...aggressively subsumed : 0
% 0.15/0.42 # Contextual simplify-reflections : 0
% 0.15/0.42 # Paramodulations : 6
% 0.15/0.42 # Factorizations : 2
% 0.15/0.42 # NegExts : 0
% 0.15/0.42 # Equation resolutions : 0
% 0.15/0.42 # Disequality decompositions : 0
% 0.15/0.42 # Total rewrite steps : 5
% 0.15/0.42 # ...of those cached : 0
% 0.15/0.42 # Propositional unsat checks : 0
% 0.15/0.42 # Propositional check models : 0
% 0.15/0.42 # Propositional check unsatisfiable : 0
% 0.15/0.42 # Propositional clauses : 0
% 0.15/0.42 # Propositional clauses after purity: 0
% 0.15/0.42 # Propositional unsat core size : 0
% 0.15/0.42 # Propositional preprocessing time : 0.000
% 0.15/0.42 # Propositional encoding time : 0.000
% 0.15/0.42 # Propositional solver time : 0.000
% 0.15/0.42 # Success case prop preproc time : 0.000
% 0.15/0.42 # Success case prop encoding time : 0.000
% 0.15/0.42 # Success case prop solver time : 0.000
% 0.15/0.42 # Current number of processed clauses : 1
% 0.15/0.42 # Positive orientable unit clauses : 1
% 0.15/0.42 # Positive unorientable unit clauses: 0
% 0.15/0.42 # Negative unit clauses : 0
% 0.15/0.42 # Non-unit-clauses : 0
% 0.15/0.42 # Current number of unprocessed clauses: 5
% 0.15/0.42 # ...number of literals in the above : 9
% 0.15/0.42 # Current number of archived formulas : 0
% 0.15/0.42 # Current number of archived clauses : 6
% 0.15/0.42 # Clause-clause subsumption calls (NU) : 0
% 0.15/0.42 # Rec. Clause-clause subsumption calls : 0
% 0.15/0.42 # Non-unit clause-clause subsumptions : 0
% 0.15/0.42 # Unit Clause-clause subsumption calls : 1
% 0.15/0.42 # Rewrite failures with RHS unbound : 0
% 0.15/0.42 # BW rewrite match attempts : 7
% 0.15/0.42 # BW rewrite match successes : 5
% 0.15/0.42 # Condensation attempts : 0
% 0.15/0.42 # Condensation successes : 0
% 0.15/0.42 # Termbank termtop insertions : 654
% 0.15/0.42 # Search garbage collected termcells : 106
% 0.15/0.42
% 0.15/0.42 # -------------------------------------------------
% 0.15/0.42 # User time : 0.005 s
% 0.15/0.42 # System time : 0.006 s
% 0.15/0.42 # Total time : 0.011 s
% 0.15/0.42 # Maximum resident set size: 1848 pages
% 0.15/0.42
% 0.15/0.42 # -------------------------------------------------
% 0.15/0.42 # User time : 0.006 s
% 0.15/0.42 # System time : 0.007 s
% 0.15/0.42 # Total time : 0.014 s
% 0.15/0.42 # Maximum resident set size: 1720 pages
% 0.15/0.42 % E---3.1 exiting
% 0.15/0.42 % E exiting
%------------------------------------------------------------------------------