TSTP Solution File: SET600^5 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SET600^5 : 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 : Tue May 21 02:54:49 EDT 2024
% Result : Theorem 0.17s 0.46s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 3 unt; 6 typ; 0 def)
% Number of atoms : 171 ( 3 equ; 0 cnn)
% Maximal formula atoms : 128 ( 11 avg)
% Number of connectives : 350 ( 94 ~; 128 |; 25 &; 98 @)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 8 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 5 con; 0-2 aty)
% Number of variables : 28 ( 4 ^ 24 !; 0 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_22,type,
epred1_0: a > $o ).
thf(decl_23,type,
epred2_0: a > $o ).
thf(decl_24,type,
esk1_0: a ).
thf(decl_25,type,
esk2_0: a ).
thf(decl_26,type,
esk3_0: a ).
thf(cBOOL_PROP_59_pme,conjecture,
! [X1: a > $o,X2: a > $o] :
( ( ( ^ [X3: a] :
( ( X1 @ X3 )
| ( X2 @ X3 ) ) )
= ( ^ [X4: a] : ~ $true ) )
<=> ( ( X1
= ( ^ [X4: a] : ~ $true ) )
& ( X2
= ( ^ [X4: a] : ~ $true ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cBOOL_PROP_59_pme) ).
thf(c_0_1,negated_conjecture,
~ ! [X1: a > $o,X2: a > $o] :
( ! [X7: a] :
( ( ( X1 @ X7 )
| ( X2 @ X7 ) )
<=> ~ $true )
<=> ( ! [X8: a] :
( ( X1 @ X8 )
<=> ~ $true )
& ! [X9: a] :
( ( X2 @ X9 )
<=> ~ $true ) ) ),
inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[cBOOL_PROP_59_pme])])]) ).
thf(c_0_2,negated_conjecture,
! [X15: a,X16: a,X17: a] :
( ( ~ ( epred2_0 @ esk3_0 )
| $true
| ~ ( epred1_0 @ esk2_0 )
| $true
| ~ ( epred1_0 @ esk1_0 )
| $true )
& ( ( epred2_0 @ esk3_0 )
| ~ $true
| ~ ( epred1_0 @ esk2_0 )
| $true
| ~ ( epred1_0 @ esk1_0 )
| $true )
& ( ~ ( epred2_0 @ esk3_0 )
| $true
| ( epred1_0 @ esk2_0 )
| ~ $true
| ~ ( epred1_0 @ esk1_0 )
| $true )
& ( ( epred2_0 @ esk3_0 )
| ~ $true
| ( epred1_0 @ esk2_0 )
| ~ $true
| ~ ( epred1_0 @ esk1_0 )
| $true )
& ( ~ ( epred2_0 @ esk3_0 )
| $true
| ~ ( epred1_0 @ esk2_0 )
| $true
| ~ ( epred2_0 @ esk1_0 )
| $true )
& ( ( epred2_0 @ esk3_0 )
| ~ $true
| ~ ( epred1_0 @ esk2_0 )
| $true
| ~ ( epred2_0 @ esk1_0 )
| $true )
& ( ~ ( epred2_0 @ esk3_0 )
| $true
| ( epred1_0 @ esk2_0 )
| ~ $true
| ~ ( epred2_0 @ esk1_0 )
| $true )
& ( ( epred2_0 @ esk3_0 )
| ~ $true
| ( epred1_0 @ esk2_0 )
| ~ $true
| ~ ( epred2_0 @ esk1_0 )
| $true )
& ( ~ ( epred2_0 @ esk3_0 )
| $true
| ~ ( epred1_0 @ esk2_0 )
| $true
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ $true )
& ( ( epred2_0 @ esk3_0 )
| ~ $true
| ~ ( epred1_0 @ esk2_0 )
| $true
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ $true )
& ( ~ ( epred2_0 @ esk3_0 )
| $true
| ( epred1_0 @ esk2_0 )
| ~ $true
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ $true )
& ( ( epred2_0 @ esk3_0 )
| ~ $true
| ( epred1_0 @ esk2_0 )
| ~ $true
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ $true )
& ( ~ ( epred1_0 @ X16 )
| ~ $true
| ~ ( epred1_0 @ X15 )
| ~ $true )
& ( $true
| ( epred1_0 @ X16 )
| ~ ( epred1_0 @ X15 )
| ~ $true )
& ( ~ ( epred2_0 @ X17 )
| ~ $true
| ~ ( epred1_0 @ X15 )
| ~ $true )
& ( $true
| ( epred2_0 @ X17 )
| ~ ( epred1_0 @ X15 )
| ~ $true )
& ( ~ ( epred1_0 @ X16 )
| ~ $true
| ~ ( epred2_0 @ X15 )
| ~ $true )
& ( $true
| ( epred1_0 @ X16 )
| ~ ( epred2_0 @ X15 )
| ~ $true )
& ( ~ ( epred2_0 @ X17 )
| ~ $true
| ~ ( epred2_0 @ X15 )
| ~ $true )
& ( $true
| ( epred2_0 @ X17 )
| ~ ( epred2_0 @ X15 )
| ~ $true )
& ( ~ ( epred1_0 @ X16 )
| ~ $true
| $true
| ( epred1_0 @ X15 )
| ( epred2_0 @ X15 ) )
& ( $true
| ( epred1_0 @ X16 )
| $true
| ( epred1_0 @ X15 )
| ( epred2_0 @ X15 ) )
& ( ~ ( epred2_0 @ X17 )
| ~ $true
| $true
| ( epred1_0 @ X15 )
| ( epred2_0 @ X15 ) )
& ( $true
| ( epred2_0 @ X17 )
| $true
| ( epred1_0 @ X15 )
| ( epred2_0 @ X15 ) ) ),
inference(distribute,[status(thm)],[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,
! [X3: a,X4: a] :
( ~ ( epred2_0 @ X3 )
| ~ $true
| ~ ( epred2_0 @ X4 )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
( ( epred2_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ~ $true
| ~ $true
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_5,negated_conjecture,
! [X3: a,X4: a] :
( ~ ( epred2_0 @ X3 )
| ~ $true
| ~ ( epred1_0 @ X4 )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_6,negated_conjecture,
! [X4: a,X3: a] :
( ~ ( epred2_0 @ X4 )
| ~ ( epred2_0 @ X3 ) ),
inference(cn,[status(thm)],[c_0_3]) ).
thf(c_0_7,negated_conjecture,
( ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk3_0 ) ),
inference(cn,[status(thm)],[c_0_4]) ).
thf(c_0_8,negated_conjecture,
! [X4: a,X3: a] :
( ~ ( epred1_0 @ X4 )
| ~ ( epred2_0 @ X3 ) ),
inference(cn,[status(thm)],[c_0_5]) ).
thf(c_0_9,negated_conjecture,
! [X3: a,X4: a] :
( ~ ( epred1_0 @ X3 )
| ~ $true
| ~ ( epred1_0 @ X4 )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_10,negated_conjecture,
! [X3: a] :
~ ( epred2_0 @ X3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_6]),c_0_8]),c_0_8]) ).
thf(c_0_11,negated_conjecture,
! [X4: a,X3: a] :
( ~ ( epred1_0 @ X4 )
| ~ ( epred1_0 @ X3 ) ),
inference(cn,[status(thm)],[c_0_9]) ).
thf(c_0_12,negated_conjecture,
( ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_7,c_0_10]),c_0_10]) ).
thf(c_0_13,negated_conjecture,
! [X3: a] :
~ ( epred1_0 @ X3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_11]) ).
thf(c_0_14,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_12,c_0_13]),c_0_13]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET600^5 : TPTP v8.2.0. Released v4.0.0.
% 0.06/0.12 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n032.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 : Mon May 20 11:31:22 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.44 Running higher-order theorem proving
% 0.17/0.44 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
% 0.17/0.46 # Version: 3.1.0-ho
% 0.17/0.46 # Preprocessing class: HSSSSMSSSSSNSSN.
% 0.17/0.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.46 # Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.17/0.46 # Starting post_as_ho10 with 300s (1) cores
% 0.17/0.46 # Starting new_bool_9 with 300s (1) cores
% 0.17/0.46 # Starting sh5l with 300s (1) cores
% 0.17/0.46 # post_as_ho10 with pid 20661 completed with status 0
% 0.17/0.46 # Result found by post_as_ho10
% 0.17/0.46 # Preprocessing class: HSSSSMSSSSSNSSN.
% 0.17/0.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.46 # Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.17/0.46 # Starting post_as_ho10 with 300s (1) cores
% 0.17/0.46 # No SInE strategy applied
% 0.17/0.46 # Search class: HGHNF-FFSF00-SSSFFFNN
% 0.17/0.46 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.46 # Starting sh3 with 163s (1) cores
% 0.17/0.46 # sh3 with pid 20670 completed with status 0
% 0.17/0.46 # Result found by sh3
% 0.17/0.46 # Preprocessing class: HSSSSMSSSSSNSSN.
% 0.17/0.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.46 # Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.17/0.46 # Starting post_as_ho10 with 300s (1) cores
% 0.17/0.46 # No SInE strategy applied
% 0.17/0.46 # Search class: HGHNF-FFSF00-SSSFFFNN
% 0.17/0.46 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.46 # Starting sh3 with 163s (1) cores
% 0.17/0.46 # Preprocessing time : 0.001 s
% 0.17/0.46 # Presaturation interreduction done
% 0.17/0.46
% 0.17/0.46 # Proof found!
% 0.17/0.46 # SZS status Theorem
% 0.17/0.46 # SZS output start CNFRefutation
% See solution above
% 0.17/0.46 # Parsed axioms : 2
% 0.17/0.46 # Removed by relevancy pruning/SinE : 0
% 0.17/0.46 # Initial clauses : 25
% 0.17/0.46 # Removed in clause preprocessing : 20
% 0.17/0.46 # Initial clauses in saturation : 5
% 0.17/0.46 # Processed clauses : 12
% 0.17/0.46 # ...of these trivial : 0
% 0.17/0.46 # ...subsumed : 1
% 0.17/0.46 # ...remaining for further processing : 11
% 0.17/0.46 # Other redundant clauses eliminated : 0
% 0.17/0.46 # Clauses deleted for lack of memory : 0
% 0.17/0.46 # Backward-subsumed : 3
% 0.17/0.46 # Backward-rewritten : 0
% 0.17/0.46 # Generated clauses : 4
% 0.17/0.46 # ...of the previous two non-redundant : 3
% 0.17/0.46 # ...aggressively subsumed : 0
% 0.17/0.46 # Contextual simplify-reflections : 4
% 0.17/0.46 # Paramodulations : 2
% 0.17/0.46 # Factorizations : 0
% 0.17/0.46 # NegExts : 0
% 0.17/0.46 # Equation resolutions : 0
% 0.17/0.46 # Disequality decompositions : 0
% 0.17/0.46 # Total rewrite steps : 0
% 0.17/0.46 # ...of those cached : 0
% 0.17/0.46 # Propositional unsat checks : 0
% 0.17/0.46 # Propositional check models : 0
% 0.17/0.46 # Propositional check unsatisfiable : 0
% 0.17/0.46 # Propositional clauses : 0
% 0.17/0.46 # Propositional clauses after purity: 0
% 0.17/0.46 # Propositional unsat core size : 0
% 0.17/0.46 # Propositional preprocessing time : 0.000
% 0.17/0.46 # Propositional encoding time : 0.000
% 0.17/0.46 # Propositional solver time : 0.000
% 0.17/0.46 # Success case prop preproc time : 0.000
% 0.17/0.46 # Success case prop encoding time : 0.000
% 0.17/0.46 # Success case prop solver time : 0.000
% 0.17/0.46 # Current number of processed clauses : 2
% 0.17/0.46 # Positive orientable unit clauses : 0
% 0.17/0.46 # Positive unorientable unit clauses: 0
% 0.17/0.46 # Negative unit clauses : 2
% 0.17/0.46 # Non-unit-clauses : 0
% 0.17/0.46 # Current number of unprocessed clauses: 0
% 0.17/0.46 # ...number of literals in the above : 0
% 0.17/0.46 # Current number of archived formulas : 0
% 0.17/0.46 # Current number of archived clauses : 9
% 0.17/0.46 # Clause-clause subsumption calls (NU) : 5
% 0.17/0.46 # Rec. Clause-clause subsumption calls : 5
% 0.17/0.46 # Non-unit clause-clause subsumptions : 5
% 0.17/0.46 # Unit Clause-clause subsumption calls : 3
% 0.17/0.46 # Rewrite failures with RHS unbound : 0
% 0.17/0.46 # BW rewrite match attempts : 0
% 0.17/0.46 # BW rewrite match successes : 0
% 0.17/0.46 # Condensation attempts : 0
% 0.17/0.46 # Condensation successes : 0
% 0.17/0.46 # Termbank termtop insertions : 1402
% 0.17/0.46 # Search garbage collected termcells : 427
% 0.17/0.46
% 0.17/0.46 # -------------------------------------------------
% 0.17/0.46 # User time : 0.005 s
% 0.17/0.46 # System time : 0.000 s
% 0.17/0.46 # Total time : 0.005 s
% 0.17/0.46 # Maximum resident set size: 1744 pages
% 0.17/0.46
% 0.17/0.46 # -------------------------------------------------
% 0.17/0.46 # User time : 0.005 s
% 0.17/0.46 # System time : 0.003 s
% 0.17/0.46 # Total time : 0.008 s
% 0.17/0.46 # Maximum resident set size: 1716 pages
% 0.17/0.46 % E---3.1 exiting
% 0.17/0.46 % E exiting
%------------------------------------------------------------------------------